A ball is dropped from a building at the same time a balloon rises from the ground. The heights, in feet, of the ball and balloon above the ground after x seconds are modeled by…

Question

asked Mar 26, 2021 148k views

1 Answer

Selvin · Answer 1 · 2021-04-02T07:26:37+0000

Answer:

C. 1.11

Explanation:

Ball: f(x) = 24 − 16x^2

Balloon: g(x) = 4x

4x = 24 - 16x^2

16x^2 + 4x - 24 = 0

4x^2 + x - 6 = 0

$x = (-b \pm √(b^2 - 4ac))/(2a)$

$x = (-1 \pm √(1^2 - 4(4)(-6)))/(2(4))$

$x = (-1 \pm √(1 + 96))/(8)$

$x = (-1 \pm √(97))/(8)$

x = (-1 + √(97))/(8) or
x = (-1 - √(97))/(8)

We discard the negative solution.

x = 1.11

Answer: C. 1.11