he 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.

To find the height of the rocket after 3 seconds, substitute x = 3 into the function h(x).

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

Simplifying,

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

h(3) = -144 + 240

h(3) = 96

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

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

Substituting x = 3 into the function:

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

Simplifying the equation:

h(3) = -16(9) + 240

h(3) = -144 + 240

h(3) = 96

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

To find the height of the rocket after 3 seconds, we need to substitute x = 3 into the function h(x) = -16x^2 + 80x. Let's calculate it step by step:

Step 1: Start with the function h(x) = -16x^2 + 80x.

Step 2: Substitute x = 3 into the function: h(3) = -16(3)^2 + 80(3).

Step 3: Simplify the expression inside the parentheses: h(3) = -16(9) + 80(3).

Step 4: Calculate the values inside the parentheses: h(3) = -144 + 240.

Step 5: Combine like terms: h(3) = 96.

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