Brynn and Denise launch their rockets at the same time. The height of Brynn's rocket, in meters, is given by the function f (x) = - 4.9x^2+75x, where x is the number of seconds after the launch.

The height of Denise's rocket, in meters, is given by the function g (x) = - 4.9x^2+50x+38, where x is the number of seconds after the launch.

There is a moment when the rockets are at the same height.

What is this height rounded to the nearest tenth of a meter?

Question

Mathematics

Abdullah Graves

20 February, 11:22

Brynn and Denise launch their rockets at the same time. The height of Brynn's rocket, in meters, is given by the function f (x) = - 4.9x^2+75x, where x is the number of seconds after the launch.

The height of Denise's rocket, in meters, is given by the function g (x) = - 4.9x^2+50x+38, where x is the number of seconds after the launch.

There is a moment when the rockets are at the same height.

What is this height rounded to the nearest tenth of a meter?

+5

Answers (1)

Know the Answer?

Malcolm Boyle · Answer 1

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 minutes after launching, the height is: - 4.9 (1.52) ²+75 (1.52) = 102.67904≈102.7 meters

Double check: - 4.9 (1.52) ²+50 (1.52) + 38=102.67904≈102.7. Yes.

so the height is 102.7 meter.