Math Homework Answers - Recent questions and answers in Algebra 2 Answers
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Powered by Question2AnswerAnswered: What is a positive Continental angle to a 47 degrees that is between 500 Degrees and 1000 degrees and negative continental and go to 47 degrees that is between -500 degrees and 0
https://www.mathhomeworkanswers.org/255811/positive-continental-degrees-between-negative-continental?show=255812#a255812
<p style="text-align:justify">I’m not aware of any mathematical meaning to “continental”, so I think you may mean complementary.</p>
<p style="text-align:justify">The complementary angle for 47° is 43° because 90-47=43. Also, because an angle represents rotation, 360° is equivalent to 0°, therefore any multiple of 360° is also equivalent to 0°. The equivalent angle to 43° between 500° and 1000° is 720+43=763°. </p>
<p style="text-align:justify">We can also subtract 360° to get negative angles 43-360=-317°, which is between -500° and 0°.</p>
<p style="text-align:justify">We can do the same for 47°: 47-360=-313°.</p>
<p style="text-align:justify">I hope this helps.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255811/positive-continental-degrees-between-negative-continental?show=255812#a255812Wed, 14 Nov 2018 22:43:47 +0000Answered: solve an expression
https://www.mathhomeworkanswers.org/247533/solve-an-expression?show=255705#a255705
Distance = rate * time (d=rt) <br />
<br />
Since the boat travels up and down stream the total distance is 48km. As far as the river current, because the boat goes up and down that 3km/hr will cancel itself out. The boat will be slowed down in one direction but spead up in the other direction<br />
<br />
So, just use d=48, t=6 and solve for r<br />
<br />
48=6r<br />
<br />
r=8 <br />
<br />
8km/hrAlgebra 2 Answershttps://www.mathhomeworkanswers.org/247533/solve-an-expression?show=255705#a255705Thu, 08 Nov 2018 18:47:17 +0000Answered: find the equation of the line with a slope of 2/5 through the point (-5,-9)
https://www.mathhomeworkanswers.org/255664/find-the-equation-of-the-line-with-slope-of-through-the-point?show=255667#a255667
<p style="text-align: justify;">General equation of line is y=2x/5+a. To find the constant a plug in the point:</p>
<p style="text-align: justify;">-9=(2/5)(-5)+a, so -9=-2+a, and a=2-9=-7, y=2x/5-7</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255664/find-the-equation-of-the-line-with-slope-of-through-the-point?show=255667#a255667Tue, 06 Nov 2018 23:15:35 +0000Answered: find X and Y intercepts of y = 1/8x^ 2 + 11/8x +3/2 parabola
https://www.mathhomeworkanswers.org/78769/find-x-and-y-intercepts-of-y-1-8x-2-11-8x-3-2-parabola?show=255632#a255632
<p style="text-align:justify">The y intercept is easy to find, because it’s the value of y when x=0, so the y intercept=3/2.</p>
<p style="text-align:justify">We can write y=x²/8+11x/8+3/2 as y=⅛(x²+11x)+3/2, y=⅛(x²+11x+121/4-121/4)+3/2.</p>
<p style="text-align:justify">So y=⅛((x+11/2)²-121/4)+3/2,</p>
<p style="text-align:justify">y=⅛(x+11/2)²-121/32+3/2,</p>
<p style="text-align:justify">y=⅛(x+11/2)²-73/32. When y=0 we get the x intercepts, so ⅛(x+11/2)²=73/32, (x+11/2)²=73/4.</p>
<p style="text-align:justify">Take square roots of each side: x+11/2=±√73/2 and the x intercepts are -11/2+√73/2=-1.228 and -11/2-√73/2=-9.772 approx. The vertex lies on the axis of symmetry and is found by finding where y has its minimum (smallest) value. We know y=⅛(x+11/2)²-73/32, so y has a minimum value of -73/32 when x=-11/2. The axis of symmetry is a vertical line parallel to the y axis, so x has the same value everywhere on the line, regardless of what y is. The equation of the line of symmetry must therefore be x=-11/2. This line reflects one half of the parabola on to the other.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=10853363692374781406" style="height:306px; width:500px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/78769/find-x-and-y-intercepts-of-y-1-8x-2-11-8x-3-2-parabola?show=255632#a255632Mon, 05 Nov 2018 16:41:52 +0000Answered: A radio active isotope is decaying at a rate of 18% per hour currently there is 100 grams of the substance how much will be left one day from now ?
https://www.mathhomeworkanswers.org/255560/radio-active-isotope-decaying-currently-there-grams-substance?show=255567#a255567
<p style="text-align: justify;">The decay factor is (100-18)%=0.82 per hour. So the equation we need is m=100(0.82)ʰ where m is the mass in grams and h the time in hours. Plug in h=24 and we get m=100×0.00854=0.854 grams approx.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255560/radio-active-isotope-decaying-currently-there-grams-substance?show=255567#a255567Fri, 02 Nov 2018 07:35:28 +0000Answered: what is 8w+1=-12w+21 divided by -3
https://www.mathhomeworkanswers.org/255520/what-is-8w-1-12w-21-divided-by-3?show=255521#a255521
<p style="text-align: justify;">8w+1=(-12w+21)/-3=4w-7</p>
<p style="text-align: justify;">8w-4w=-7-1=-8</p>
<p style="text-align: justify;">4w=-8, w=-2.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255520/what-is-8w-1-12w-21-divided-by-3?show=255521#a255521Wed, 31 Oct 2018 20:13:07 +0000Answered: what is a common denominator for 5, 6, and 7
https://www.mathhomeworkanswers.org/55613/what-is-a-common-denominator-for-5-6-and-7?show=255471#a255471
simpleAlgebra 2 Answershttps://www.mathhomeworkanswers.org/55613/what-is-a-common-denominator-for-5-6-and-7?show=255471#a255471Tue, 30 Oct 2018 09:45:11 +0000Answered: What is y=x^2+8x-1 in the general form?
https://www.mathhomeworkanswers.org/18099/what-is-y-x-2-8x-1-in-the-general-form?show=255420#a255420
<p style="text-align:justify">y=x²+8x-1, y=x²+8x+16-16-1, y=(x+4)²-17</p>
<p style="text-align:justify">y=f(x)=(x+4)²-17 so h=-4 and k=-17.</p>
<p style="text-align:justify">The vertex is the highest or lowest point on the curve, depending on whether the parabola is shaped like an upside-down U or an upright U. In this case, it’s upright, so the vertex is the lowest point. This means y or f(x) has its lowest or minimum value. In this case y can’t go below -17, and this happens when x=-4 (the value of h) and when y=-17 (the value of k). So when the function is in general or standard form, (h,k) is the vertex, and in this case it’s (-4,-17).</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=12480563130162309141" style="height:593px; width:400px"></p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/18099/what-is-y-x-2-8x-1-in-the-general-form?show=255420#a255420Fri, 26 Oct 2018 15:02:12 +0000Answered: f(x) less than or equal to x squared over 2 + 8x + 28
https://www.mathhomeworkanswers.org/255395/f-x-less-than-or-equal-to-x-squared-over-2-8x-28?show=255402#a255402
<p style="text-align:justify">f(x)≤x²/2+8x+28 is a function and it can be plotted by first changing the less-than-or-equal-to sign to an equals sign. This gives us the graph of a parabola (U-shaped curve). The less-than-or-equal-to sign represents the area below the curve, which is an infinite area because it includes everything below the x-axis as well as the area between the curve and above the x-axis. It also includes all points on the curve itself.</p>
<p style="text-align:justify">So the function has been defined in this way and no further “solution” is possible or is required.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=11443225566922737755" style="height:284px; width:350px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255395/f-x-less-than-or-equal-to-x-squared-over-2-8x-28?show=255402#a255402Fri, 26 Oct 2018 08:56:14 +0000Answered: find the maximum value of the function P=3x+2y
https://www.mathhomeworkanswers.org/134449/find-the-maximum-value-of-the-function-p-3x-2y?show=255316#a255316
P=28Algebra 2 Answershttps://www.mathhomeworkanswers.org/134449/find-the-maximum-value-of-the-function-p-3x-2y?show=255316#a255316Wed, 24 Oct 2018 00:13:46 +0000Answered: Cubic with 1 real zero and a>0
https://www.mathhomeworkanswers.org/255126/cubic-with-1-real-zero-and-a-0?show=255166#a255166
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=12463340552100534706" style="height:366px; width:400px"></p>
<p style="text-align:justify">This is the graph of 2x³-2x²+x-1. The curve cuts the x-axis once for the real zero at x=1. The other zeroes are complex (imaginary) so the curve doesn’t intersect the x-axis for these.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255126/cubic-with-1-real-zero-and-a-0?show=255166#a255166Thu, 18 Oct 2018 12:34:09 +0000Answered: ((x/3)-6) / ((4/x)+10)
https://www.mathhomeworkanswers.org/255095/x-3-6-4-x-10?show=255104#a255104
<p style="text-align: justify;">Take the numerator: (x/3)-6 is the same as (x-18)/3 and the denominator is (4+10x)/x.</p>
<p style="text-align: justify;">Now the quotient: (x-18)/3÷(4+10x)/x=</p>
<p style="text-align: justify;">(x-18)/3×(x/(4+10x))=</p>
<p style="text-align: justify;">(x(x-18))/(3(4+10x)=</p>
<p style="text-align: justify;">(x²-18x)/(6(2+5x)), or (x²-18x)/(12+30x).</p>
<p style="text-align: justify;">We can take this further by using algebraic long division but that probably looks more complicated.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255095/x-3-6-4-x-10?show=255104#a255104Wed, 17 Oct 2018 07:55:20 +0000Answered: What kind of function would best model the data below, where x is the independent variable and y is the dependent variable?
https://www.mathhomeworkanswers.org/255052/function-below-where-independent-variable-dependent-variable?show=255054#a255054
<p style="text-align:justify">Linear, because there is a constant interval (difference) between the x and between the y values. The function is also rational because it can be defined as the quotient of two functions of x.</p>
<p style="text-align:justify">[The standard form is y=mx+c (y=-2x+5, which could be written y=f(x)/g(x)=(2x-5)/-1, for example, where f(x)=2x-5 and g(x)=-1.)]</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255052/function-below-where-independent-variable-dependent-variable?show=255054#a255054Mon, 15 Oct 2018 07:12:05 +0000Answered: 1/3+2/9+3/27+4/81+5/243+6/729...
https://www.mathhomeworkanswers.org/255035/1-3-2-9-3-27-4-81-5-243-6-729?show=255036#a255036
<p style="text-align:justify">Let x be the sum of the series, then x/3=1/9+2/27+3/81+...</p>
<p style="text-align:justify">So x-x/3=1/3+2/9+3/27+...+n/3ⁿ...-(1/9+2/27+3/81+...+n/3ⁿ⁺¹...)</p>
<p style="text-align:justify">Therefore 2x/3=1/3+1/9+1/27+1/81+...</p>
<p style="text-align:justify">Let S=sum the geometric series on the right to n terms. The common ratio is 1/3.</p>
<p style="text-align:justify">Therefore S/3=1/9+1/27+1/81+1/243+ and</p>
<p style="text-align:justify">S-S/3=2S/3=1/3 because all but the first term cancel out and the last term of the infinite series approaches zero, making S=3/2×1/3=1/2.</p>
<p style="text-align:justify">Therefore 2x/3=1/2, and x=3/2×1/2=3/4, so the sum of the given series is 3/4.</p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/255035/1-3-2-9-3-27-4-81-5-243-6-729?show=255036#a255036Sat, 13 Oct 2018 19:23:13 +0000Answered: Minimize C = x +y with the following constraint O<=X<=4 0<=Y<=4 2X-3Y<=-1 -X+Y>=0
https://www.mathhomeworkanswers.org/1241/minimize-c-x-y-with-the-following-constraint-o-x-4-0-4-2x-3y-1-x-y-0?show=255026#a255026
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=8912769537407737351" style="height:310px; width:450px"></p>
<p style="text-align:justify">The thick red lines enclose the given constrained region. The blue line is of the form x+y=c where c is a constant. c has a minimum value when the line is as far over to the left as possible to remain in the enclosed region.</p>
<p style="text-align:justify">The line 2x-3y=-1 is also 3y-2x=1, and has a y-intercept at y=⅓. The blue line must pass through this intercept to be in its leftmost position. So x+y=⅓ is the equation and c=⅓ is the minimum value.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/1241/minimize-c-x-y-with-the-following-constraint-o-x-4-0-4-2x-3y-1-x-y-0?show=255026#a255026Sat, 13 Oct 2018 14:07:20 +0000Answered: 2+ (-3) +7
https://www.mathhomeworkanswers.org/254951/2-3-7?show=254979#a254979
2+(-3)+7<br />
<br />
2-3+7<br />
<br />
-1+7<br />
<br />
6Algebra 2 Answershttps://www.mathhomeworkanswers.org/254951/2-3-7?show=254979#a254979Thu, 11 Oct 2018 22:21:38 +0000Answered: If the company earned a total of $37,500 in interest last year,how much cash did they keep in the bank
https://www.mathhomeworkanswers.org/254929/company-earned-total-interest-year-much-cash-they-keep-bank?show=254939#a254939
<p style="text-align:justify">To answer this question, we need to know the interest rate.</p>
<p style="text-align:justify">Let’s say the interest rate was 5% per year. Then interest would be 5% of the money they had in the bank, which is $37500. 5/100=37500/?. So we can write this as 5×7500/100×7500=37500/750000. Therefore ?=$750,000. In other words, $37,500 is 5% of $750,000.</p>
<p style="text-align:justify">Another way to solve it is to say if 5% is equivalent to $37,500, then 100% is 20 times as much as 5%, so the amount must be 20 times $37,500=$750,000. It’s simple proportion.</p>
<p style="text-align:justify">Find out what the actual interest rate is and use one of these methods to find your answer.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254929/company-earned-total-interest-year-much-cash-they-keep-bank?show=254939#a254939Wed, 10 Oct 2018 09:06:32 +0000Answered: Which of the following points are solutions to the given system 3x-4y<10 2x+6y>-8
https://www.mathhomeworkanswers.org/254930/which-the-following-points-are-solutions-the-given-system-2x?show=254935#a254935
<p style="text-align:justify">You haven’t listed the points so we have to generalise the answer.</p>
<p style="text-align:justify">This can be solved graphically. If we plot the equations we can see that the solution is the common area above the intersection point of the two given lines.</p>
<p style="text-align:justify">We need to work out where the lines intersect. So we remove the inequalities.</p>
<p style="text-align:justify">From equation 2 we have x=-4-3y, so substitute in equation 1: 3(-4-3y)-4y=10, -12-9y-4y=10, -13y=22, y=-22/13. So x=-4-3y=-4+66/13=14/13, and the intersection point is (14/13, -22/13). The solution to the inequalities is all points above this and enclosed by the two lines. That means that the y coord must be greater than -22/13, otherwise it would lie below the intersection point.</p>
<p style="text-align:justify">If you had provided a list of points, we would have simply plugged in these points to see which ones satisfied the two inequalities. Or, using the graph, we look to see if the points lie above both lines. For example, (2,1) satisfies the inequalities because it lies in the required area; but (2,-1) doesn’t because it actually lies ON the line, and the inequality needs it to lie ABOVE the line. Also, both (1,1) and (1,-1) satisfy the inequalities, but (-1,-1) doesn’t, and (-1,1) does.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=7999563000955536043" style="height:280px; width:350px"></p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254930/which-the-following-points-are-solutions-the-given-system-2x?show=254935#a254935Wed, 10 Oct 2018 08:06:51 +0000Answered: write an equation in slope intercept-form to the line passing through (-1/2,3/4) and (-1/2,-1/3)
https://www.mathhomeworkanswers.org/29928/write-equation-slope-intercept-form-the-line-passing-through?show=254899#a254899
<p><span style="font-family:open sans,sans-serif; font-size:18px">x=-1/2</span></p>
<p> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/29928/write-equation-slope-intercept-form-the-line-passing-through?show=254899#a254899Mon, 08 Oct 2018 14:24:58 +0000Answered: The sum of two numbers is 62 and their difference is 16. Which system of equations represents the word problem?
https://www.mathhomeworkanswers.org/254811/numbers-difference-which-system-equations-represents-problem?show=254815#a254815
<p style="text-align:justify">If the numbers are x and y then x+y=62 and x-y=16 are the system of equations.</p>
<p style="text-align:justify">(The solution is found by adding the equations: 2x=78, x=39; then by subtracting: 2y=46, y=23.)</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254811/numbers-difference-which-system-equations-represents-problem?show=254815#a254815Thu, 04 Oct 2018 16:05:15 +0000Answered: what is the cost of one daylily and the cost of one pot of ivy?
https://www.mathhomeworkanswers.org/254774/what-is-the-cost-of-one-daylily-and-the-cost-of-one-pot-of-ivy?show=254785#a254785
<p style="text-align:justify">If Scott bought 20 daylilies and 10 pots of ivy it would cost twice as much: $320.</p>
<p style="text-align:justify">Micaela bought 1 daylily and 10 pots of ivy for $92.</p>
<p style="text-align:justify">If we subtract what Micaela bought from what Scott would have bought for twice the money we can see that 19 daylilies must cost 320-92=$228.</p>
<p style="text-align:justify">So one daylily costs 228/19=$12, and that means 10 pots of ivy cost 92-12=$80, making 1 pot worth $8.</p>
<p style="text-align:justify">(10 daylilies plus 5 pots of ivy cost 120+40=$160, which confirms how much Scott paid for his plants.)</p>
<p style="text-align:justify"><strong>So a daylily costs $12 and a pot of ivy costs $8.</strong></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254774/what-is-the-cost-of-one-daylily-and-the-cost-of-one-pot-of-ivy?show=254785#a254785Wed, 03 Oct 2018 19:07:46 +0000Answered: 17 2 3 8 = 3
https://www.mathhomeworkanswers.org/254746/17-2-3-8-3?show=254748#a254748
<p style="text-align:justify">17-2×3-8=3</p>
<p style="text-align:justify">Apply PEMDAS, so multiplication takes place before subtraction: 17-6-8=3.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254746/17-2-3-8-3?show=254748#a254748Tue, 02 Oct 2018 21:56:55 +0000Answered: determine the final velocity of a proton that has an initial velocity of 2.35x10^5 m/s and then is accelerated uniformly in an electric field at the rate of -1.10x10^12 m/s^2 for 1.50x10^-7 s
https://www.mathhomeworkanswers.org/254736/determine-velocity-velocity-accelerated-uniformly-electric?show=254737#a254737
<p style="text-align:justify">v=u+at gives the velocity v after time t, when the initial velocity is u and the acceleration is a. (Negative acceleration is deceleration.)</p>
<p style="text-align:justify">So v=2.35×10⁵-1.10×10¹²×1.5×10⁻⁷=2.35×10⁵-1.65×10⁵=</p>
<p style="text-align:justify">(2.35-1.65)×10⁵=0.7×10⁵=7×10⁴.</p>
<p style="text-align:justify">So the final velocity is 7×10⁴m/s or 70000m/s or 70km/s.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254736/determine-velocity-velocity-accelerated-uniformly-electric?show=254737#a254737Mon, 01 Oct 2018 19:39:03 +0000Answered: Is the equation 6 times x squared-7x+8=0 solvable with quadratic formula or I copied equation wrong?
https://www.mathhomeworkanswers.org/254721/equation-squared-solvable-quadratic-formula-copied-equation?show=254723#a254723
<p style="text-align:justify">The equation may have been wrongly written because the quadratic formula does produce a negative discriminant, so the solution is complex. Perhaps it should have been 6x²-7x+2=0 which factorises into:</p>
<p style="text-align:justify">(3x-2)(2x-1)=0 with zeroes x=⅔ and ½; or 6x²-7x+1=(6x-1)(x-1).</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254721/equation-squared-solvable-quadratic-formula-copied-equation?show=254723#a254723Mon, 01 Oct 2018 07:53:48 +0000Answered: (((9-x^2)^1/2) + x^2(9-x^2)^1/2)/9-x^2
https://www.mathhomeworkanswers.org/254618/9-x-2-1-2-x-2-9-x-2-1-2-9-x-2?show=254628#a254628
<p style="text-align:justify">There is no equation because there’s no equals sign, so it’s just an expression.</p>
<p style="text-align:justify">Let’s use different brackets to clarify:</p>
<p style="text-align:justify">{[(9-x^2)^1/2]+x^2(9-x^2)^1/2}/9-x^2 = </p>
<p style="text-align:justify">{(9-x^2)^1/2+x^2(9-x^2)^1/2}/9-x^2</p>
<p style="text-align:justify">(9-x²)^½ is a common factor: let’s write it as √(9-x²):</p>
<p style="text-align:justify">((1+x²)√(9-x²))/9 — x²</p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254618/9-x-2-1-2-x-2-9-x-2-1-2-9-x-2?show=254628#a254628Thu, 27 Sep 2018 08:33:16 +0000Answered: 36x2 - 60xy + 25y2
https://www.mathhomeworkanswers.org/83354/36x2-60xy-25y2?show=254596#a254596
<p><a rel="nofollow" href="https://www.mathhomeworkanswers.org/83354/36x2-60xy-25y2" style="background-color: transparent; box-sizing: border-box; color: rgb(51, 122, 183); font-family: &quot;Open Sans&quot;,sans-serif; font-size: 29px; font-style: normal; font-variant: normal; font-weight: 500; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">36x2 - 60xy + 25y2 </a></p>
<p>This simplifies as follows,</p>
<p>(6x)^2 - 2(6x)(5y) + (5y)^2</p>
<p><span style="text-decoration: underline;"><strong>(6x - 5y)^2</strong></span></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/83354/36x2-60xy-25y2?show=254596#a254596Wed, 26 Sep 2018 08:31:23 +0000Answered: Through the origin with slope -5
https://www.mathhomeworkanswers.org/254386/through-the-origin-with-slope-5?show=254395#a254395
<p style="text-align: justify;">Because the line goes through the origin, there are no intercepts so y=-5x is the line.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254386/through-the-origin-with-slope-5?show=254395#a254395Thu, 20 Sep 2018 09:14:08 +0000Answered: set all inequalities that model this solution
https://www.mathhomeworkanswers.org/254384/set-all-inequalities-that-model-this-solution?show=254385#a254385
<p style="text-align: justify;">x+y≥25, x>10 or x≥11, x≥25-y, y≥25-x</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254384/set-all-inequalities-that-model-this-solution?show=254385#a254385Wed, 19 Sep 2018 21:38:51 +0000Answered: Story problem equation
https://www.mathhomeworkanswers.org/254368/story-problem-equation?show=254372#a254372
<p style="text-align:justify">Let x be the first child’s enrolment fee per day, which is 5x for 5 days, then the second child’s is 5x-50 for 5 days.</p>
<p style="text-align:justify">Total fee is 5x+5x-50=200.</p>
<p style="text-align:justify">10x=250, x=$25. </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254368/story-problem-equation?show=254372#a254372Wed, 19 Sep 2018 07:28:22 +0000Answered: 144 = (x+4)(3x+6)
https://www.mathhomeworkanswers.org/254285/144-x-4-3x-6?show=254286#a254286
<p style="text-align:justify">144=3x²+18x+24, divide through by 3: 48=x²+6x+8, x²+6x-40=0=(x+10)(x-4).</p>
<p style="text-align:justify">So x=-10 or 4.</p>
<p style="text-align:justify">OR</p>
<p style="text-align:justify">Divide the original equation by 3:</p>
<p style="text-align:justify">48=(x+4)(x+2)=x²+6x+8, ...</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254285/144-x-4-3x-6?show=254286#a254286Sun, 16 Sep 2018 08:22:57 +0000Answered: Write the equation of the line passing through given points
https://www.mathhomeworkanswers.org/254265/write-the-equation-of-the-line-passing-through-given-points?show=254267#a254267
<p style="text-align: justify;">Slope=(-2-(-3))/(-6-(-4))=-1/2.</p>
<p style="text-align: justify;">If we start with y=mx+b where m=slope=-1/2 and b is the y intercept, we can derive the form required.</p>
<p style="text-align: justify;">y=-x/2+b, plug in a point (-4,-3): -3=2+b, b=-5.</p>
<p style="text-align: justify;">So y+x/2=-5 which can be written: 2y+x=-10.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254265/write-the-equation-of-the-line-passing-through-given-points?show=254267#a254267Fri, 14 Sep 2018 20:17:05 +0000Answered: Find an equation of the line through (3,8) and parallel to y=4x-8. write the equation using function notation.
https://www.mathhomeworkanswers.org/254261/equation-through-parallel-equation-using-function-notation?show=254262#a254262
<p style="text-align:justify">Parallel lines have the same slope so we can write the equation of the required line as y=4x+b where b is the y intercept. Plug in (3,8): 8=4×3+b, 8=12+b, b=-4, so y=4x-4, that is, f(x)=4x-4 or f:x➝4x-4.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254261/equation-through-parallel-equation-using-function-notation?show=254262#a254262Fri, 14 Sep 2018 18:32:50 +0000Answered: Solve inequality and graph
https://www.mathhomeworkanswers.org/254205/solve-inequality-and-graph?show=254213#a254213
<p style="text-align:justify">You haven’t submitted a question, so I guess you want some general ideas.</p>
<p style="text-align:justify">Start with a number line. Let’s mark a point on the line, say, at 5.</p>
<p style="text-align:justify">The line to the left of 5, but not including 5 itself, is all the numbers less than 5, and we can represent these by writing x<5. When we include 5 itself, we get x≤5, all numbers less than or equal to 5.</p>
<p style="text-align:justify">The line to the right of 5 is represented by x>5 or x≥5, depending on whether 5 is excluded or included.</p>
<p style="text-align:justify">I guess you already understand this, so let’s move on.</p>
<p style="text-align:justify">What does y<x+5 mean? To represent this we can’t use just one number line, but we use two at right angles, one for x (horizontal) and one for y (vertical). Where they cross is the origin (0,0) where both number lines have their zero.</p>
<p style="text-align:justify">The graph of y<x+5 is a straight line which crosses the x number line (x axis) at -5 and crosses the y number line (y axis) at 5. The line slopes to the right at 45°. The whole area below the line represents y<x+5, but excludes points on the line itself, whereas y≤x+5 includes points on the line. So when we switched from a single number line to two number lines, we went from left and right to lower than (or below) to higher than (or above). Remember L=left=lower=less. y>x+5 and y≥x+5 represent combinations of x and y above the line, excluding or including points on the line itself. </p>
<p style="text-align:justify">Similarly, we use the same reasoning and representation for, say, y<3x+4, but the line is steeper. Above and below still represent the same things. And no matter what equation we have to relate x and y the same rules apply using above and below (higher and lower).</p>
<p style="text-align:justify">To solve inequalities we apply the same rules as for solving an equation but take care to preserve the inequality sign. If we have y<2x+7 we can express x in terms of y:</p>
<p style="text-align:justify">y<2x+7; subtract 7 from both sides: y-7<2x. Now divide through by 2: ½(y-7)<x. Note that the “wide” part of the inequality sign faces x, so if we switch the left and right sides of the inequality we also switch the sign itself: x>½(y-7), and note that the wide part of the sign still faces x.</p>
<p style="text-align:justify">I hope this helps you.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254205/solve-inequality-and-graph?show=254213#a254213Wed, 12 Sep 2018 09:31:32 +0000Answered: P plus 3-18
https://www.mathhomeworkanswers.org/254129/p-plus-3-18?show=254146#a254146
<p style="text-align: justify;">Do you want two numbers that add up to 3 and multiply to be -18?</p>
<p style="text-align: justify;">If so we can call the numbers a and b, so a+b=3 and ab=-18.</p>
<p style="text-align: justify;">b=3-a so ab=a(3-a)=-18. 3a-a²=-18, a²-3a-18=0=(a-6)(a+3).</p>
<p style="text-align: justify;">So the two numbers are 6 and -3.</p>
<p style="text-align: justify;"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254129/p-plus-3-18?show=254146#a254146Fri, 07 Sep 2018 13:57:25 +0000Answered: find P(5) by synthetic division if P(x)=2x^4 -x^2 +3x -1.
https://www.mathhomeworkanswers.org/254064/find-p-5-by-synthetic-division-if-p-x-2x-4-x-2-3x-1?show=254074#a254074
<p style="text-align: justify;">P(5)=2×5⁴-5²+3×5-1=1250-25+15-1=1239.</p>
<p style="text-align: justify;">Synthetic division is usually applied when factorising given a known or estimated zero.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/254064/find-p-5-by-synthetic-division-if-p-x-2x-4-x-2-3x-1?show=254074#a254074Wed, 05 Sep 2018 07:47:56 +0000Answered: what is the hcf of 77,143 and 91
https://www.mathhomeworkanswers.org/60631/what-is-the-hcf-of-77-143-and-91?show=254061#a254061
GFC = 1 :)Algebra 2 Answershttps://www.mathhomeworkanswers.org/60631/what-is-the-hcf-of-77-143-and-91?show=254061#a254061Tue, 04 Sep 2018 13:00:07 +0000Answered: What is set of natural numbers less than 10?
https://www.mathhomeworkanswers.org/37377/what-is-set-of-natural-numbers-less-than-10?show=254060#a254060
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16Algebra 2 Answershttps://www.mathhomeworkanswers.org/37377/what-is-set-of-natural-numbers-less-than-10?show=254060#a254060Tue, 04 Sep 2018 12:15:43 +0000Answered: Find the perimeter of the triangle with the vertices at (2, 2), (-3, 5), and (-2, -6).
https://www.mathhomeworkanswers.org/253924/find-the-perimeter-of-the-triangle-with-the-vertices-at-and-2?show=253932#a253932
<p style="text-align:justify">Let these three points be A, B and C the vertices of the triangle.</p>
<p style="text-align:justify">Use Pythagoras Theorem for each pair of coordinates, the root of the sum of the squares of the differences between the x and y coords:</p>
<p style="text-align:justify">AB=√((2-(-3))²+(2-5)²)=√(5²+(-3)²)=√(25+9)=√34 (x-coord diff=2-(-3)=2+3=5, y-coord diff=2-5=-3)</p>
<p style="text-align:justify">BC=√((-3-(-2))²+(5-(-6))²)=√((-1)²+11²)=√(1+121)=√122</p>
<p style="text-align:justify">CA=√((-2-2)²+(-6-2)²)=√((-4)²+(-8)²)=√(16+64)=√80</p>
<p style="text-align:justify">The perimeter=AB+BC+CA=√34+√122+√80=25.8206 approx.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=15610955156772962125" style="height:684px; width:400px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253924/find-the-perimeter-of-the-triangle-with-the-vertices-at-and-2?show=253932#a253932Wed, 29 Aug 2018 08:40:23 +0000Answered: (y^3+1)-[(y^2+1)+(3y-7)]
https://www.mathhomeworkanswers.org/253891/y-3-1-y-2-1-3y-7?show=253892#a253892
<p style="text-align:justify">y³+1-[(y²+1)+(3y-7)]=</p>
<p style="text-align:justify">y³+1-(y²+1)-(3y-7)=</p>
<p style="text-align:justify">y³+1-y²-1-3y+7=</p>
<p style="text-align:justify">y³-y²-3y+7, which is the result in standard polynomial form. The expression doesn’t simplify any further.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253891/y-3-1-y-2-1-3y-7?show=253892#a253892Sun, 26 Aug 2018 08:39:07 +0000Answered: Write the equation of the line if m=-3/2 and b=16
https://www.mathhomeworkanswers.org/253721/write-the-equation-of-the-line-if-m-3-2-and-b-16?show=253722#a253722
<p style="text-align: justify;">y=mx+b so y=-3x/2+16.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253721/write-the-equation-of-the-line-if-m-3-2-and-b-16?show=253722#a253722Mon, 20 Aug 2018 22:32:45 +0000Answered: working alone,Maria can pick forty bushels of apples in 10 hours.Kathryn can pick the same amount in 13 hours.Find how long it would take them if they worked together
https://www.mathhomeworkanswers.org/253581/working-maria-bushels-apples-kathryn-amount-worked-together?show=253590#a253590
<p style="text-align:justify">Maria works at the rate of 40 bushels per 10 hours=40/10=4 bushels per hour.</p>
<p style="text-align:justify">Kathryn’s rate is 40/13 bushels per hour.</p>
<p style="text-align:justify">Combined rate is 4+40/13=92/13 bushels per hour. This is the same as 13/92 hours per bushel.</p>
<p style="text-align:justify">So, for 40 bushels the time it takes is 40×13÷92=10×13/23=130/23=5.65 hours.</p>
<p style="text-align:justify">Another way to do this is to divide the 40 bushels in the ratio of their rates of working. Since they are both timed on how long it takes to pick 40 bushels, the ratio is 10:13. That means the quantity is split as 10/(10+13)=10/23 and 13/(10+13)=13/23. So 40 bushels is split as 10/23×40=400/23 bushels and 13/23×40=520/23 bushels.</p>
<p style="text-align:justify">The faster worker is given the larger portion. Maria is faster than Kathryn and her rate is 40/10=4 bushels per hour. The time it takes Maria to pick 520/23 (the larger portion) is quantity/rate=520/23÷4=130/23=5.65hrs approx. The time it takes Kathryn to pick 400/23 bushels at the rate of 40/13 bushels per hour is 400/23÷(40/13)=400/23×13/40=130/23=5.65hrs, the same time Maria takes to pick her portion.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253581/working-maria-bushels-apples-kathryn-amount-worked-together?show=253590#a253590Wed, 15 Aug 2018 09:01:05 +0000Answered: Find the value that completes the square and rewrite as a perfect square.
https://www.mathhomeworkanswers.org/253504/find-the-value-that-completes-square-rewrite-perfect-square?show=253506#a253506
<p style="text-align: justify;">Halve the central coefficient and square it: (15/2)²=225/4.</p>
<p style="text-align: justify;">So x²+15x+225/4=(x+15/2)².</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253504/find-the-value-that-completes-square-rewrite-perfect-square?show=253506#a253506Tue, 07 Aug 2018 16:50:33 +0000Answered: Solve each equation by taking the square roots
https://www.mathhomeworkanswers.org/253503/solve-each-equation-by-taking-the-square-roots?show=253505#a253505
<p style="text-align: justify;">17b²-6=-227, 17b²=-221, b²=-13, so the solution is a complex number.</p>
<p style="text-align: justify;">b=±i√13 where i is the imaginary √-1. Therefore b=±3.6056i approx.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253503/solve-each-equation-by-taking-the-square-roots?show=253505#a253505Tue, 07 Aug 2018 16:34:54 +0000Answered: X+15%=76.77
https://www.mathhomeworkanswers.org/253337/x-15%25-76-77?show=253352#a253352
<p style="text-align:justify">15% is 0.15 decimal.</p>
<p style="text-align:justify">Assuming this means x plus 15% of x then x+0.15x=1.15x=76.77, making x=76.77/1.15=66.76 approx.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253337/x-15%25-76-77?show=253352#a253352Sat, 28 Jul 2018 13:08:38 +0000Answered: How do you solve, x+15%=76.77
https://www.mathhomeworkanswers.org/253338/how-do-you-solve-x-15%25-76-77?show=253344#a253344
<p style="text-align:justify">x+15% is probably the same as x+(15% of x), that is, x+0.15x or x(1+0.15)=1.15x, making the equation 1.15x=76.77.</p>
<p style="text-align:justify">So x=76.77/1.15=66.76 approx.</p>
<p style="text-align:justify">The only other interpretation is to convert 15% into a decimal 0.15: x+0.15=76.77 so x=76.62, but I don’t think that’s how the question should be interpreted because it has no practical meaning.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253338/how-do-you-solve-x-15%25-76-77?show=253344#a253344Sat, 28 Jul 2018 08:46:55 +0000Answered: Can you please help me solving the problem?
https://www.mathhomeworkanswers.org/253266/can-you-please-help-me-solving-the-problem?show=253267#a253267
<p style="text-align: justify;">5p=q/2, so 10p=q or q=10p.</p>
<p style="text-align: justify;">This means that, if p=1, q=10; if p=2, q=20, and so on. It also means, if p=½, q=5. So when we know p we can find q; and when we know q we can find p.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253266/can-you-please-help-me-solving-the-problem?show=253267#a253267Tue, 24 Jul 2018 14:49:02 +0000Answered: how long it take him to walk home?
https://www.mathhomeworkanswers.org/40237/how-long-it-take-him-to-walk-home?show=253182#a253182
<p style="text-align: justify;">Since since distance=speed times time we can write s=20t1=10t2 where s is the distance to school and t1 and t2 the travelling times to and from school. Also t1+t2=1 hour.</p>
<p style="text-align: justify;">So 2t1=t2 and t1+t2=t1+2t1=1, so 3t1=60 mins, and t1=20 mins, t2=40 mins.</p>
<p style="text-align: justify;">So it takes Jose 40 minutes to walk home.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/40237/how-long-it-take-him-to-walk-home?show=253182#a253182Fri, 20 Jul 2018 11:27:48 +0000Answered: ABCD is an isoceles trapezoid with a height of 4 and bases a + 2 and a + 4. Find the area of the trapezoid.
https://www.mathhomeworkanswers.org/253114/abcd-isoceles-trapezoid-with-height-bases-find-area-trapezoid?show=253119#a253119
<p style="text-align:justify">The trapezoid is made up of a rectangle and 2 congruent right triangles.</p>
<p style="text-align:justify">Area of rectangle=4(a+2) sq units</p>
<p style="text-align:justify">Combined area of triangles=4 sq units</p>
<p style="text-align:justify">Total area=4a+8+4=4a+12 sq units</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=16400290454556987221" style="height:258px; width:350px"></p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253114/abcd-isoceles-trapezoid-with-height-bases-find-area-trapezoid?show=253119#a253119Tue, 17 Jul 2018 12:08:18 +0000Answered: Please help solve for x: x-(x-1)/2=3
https://www.mathhomeworkanswers.org/253097/please-help-solve-for-x-x-x-1-2-3?show=253099#a253099
<p style="text-align:justify">Following through with your idea, you should have multiplied x by 2:</p>
<p style="text-align:justify">2x-(x-1)=6</p>
<p style="text-align:justify">Remember that minus outside a bracket changes the signs within the bracket:</p>
<p style="text-align:justify">2x-x+1=6, x+1=6, x=5.</p>
<p style="text-align:justify">Always check your answer by going back to the original equation and substituting for x:</p>
<p style="text-align:justify">5-(5-1)/2=5-2=3 which is correct!</p>
<p style="text-align:justify">I’m pleased that you want to work out these problems for yourself. So many students just want someone to do the problems for them, over and over again. That’s no fun. You’ll get a kick out of solving them yourself.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/253097/please-help-solve-for-x-x-x-1-2-3?show=253099#a253099Mon, 16 Jul 2018 10:20:21 +0000Write this in a algebraic expression. 50 less than the product of eight and a number
https://www.mathhomeworkanswers.org/253085/write-algebraic-expression-less-than-product-eight-number
I need help with this.Algebra 2 Answershttps://www.mathhomeworkanswers.org/253085/write-algebraic-expression-less-than-product-eight-numberSat, 14 Jul 2018 21:00:21 +0000