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 (1.0m points)

Related questions

1 answer
asked Jun 13, 2020 in Calculus Answers by anonymous | 272 views
1 answer
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!
87,024 questions
96,354 answers
2,362 comments
24,341 users