Question

The function

h(x)=−16x
2
+80x
represents the height of a rocket in feet, h(x), after x seconds. The rocket's height, in fee, after 3 seconds is ___ feet.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the rocket's height after 3 seconds, we need to evaluate the function h(x) when x = 3.

Substituting x = 3 into the function h(x) = -16x² + 80x, we have:

h(3) = -16(3)² + 80(3)
= -16(9) + 240
= -144 + 240
= 96

Therefore, the rocket's height after 3 seconds is 96 feet.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the height of the rocket after 3 seconds, we need to substitute x = 3 into the given function h(x) = -16x^2 + 80x.

So, substituting x = 3 into the function,
h(3) = -16(3)^2 + 80(3)
= -16(9) + 240
= -144 + 240
= 96

Therefore, the rocket's height after 3 seconds is 96 feet.

Answer 3

[AI-generated answer — Explain Bot]

To find the rocket's height after 3 seconds, you need to plug in x = 3 into the function h(x) and evaluate it.

The function h(x) is given as h(x) = -16x^2 + 80x. To find h(3), substitute x with 3 in the equation:

h(3) = -16(3)^2 + 80(3)

First, evaluate 3^2 which equals 9:

h(3) = -16(9) + 80(3)

Next, calculate -16(9) and 80(3):

h(3) = -144 + 240

Finally, add -144 and 240:

h(3) = 96

Therefore, the rocket's height after 3 seconds is 96 feet.