ROCKET F: f(x)=-4x^2+29x+24

ROCKET G: g(x)=-5x^2+26x+24

 

A. Rocket F hit the ground 2 seconds after Rocket G

B. Rocket F hit the ground 2 seconds before Rocket G

C. Rocket F hit the ground 3 seconds after Rocket G

D. Rocket F hit the ground 3 seconds before Rocket G
by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

We can compare the times the rockets each hit the ground by setting f(x)=0 and g(x)=0 and solving for each x.

-4x²+29x+24=0 (for F) and -5x²+26x+24=0 (for G).

We can negate each quadratic:

4x²-29x-24=0=(4x+3)(x-8),  so it takes 8 seconds for F to hit the ground; 5x²-26x-24=0=(5x+4)(x-6), so it takes 6 seconds for G to hit the ground. G hits the ground 2 seconds before F, that is, F hits the ground 2 seconds after G, answer A.

by Top Rated User (826k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,158 questions
92,162 answers
2,244 comments
23,902 users