Question

The last question 4. Is 1.5 56ft PLZ HELP GOD BLESS U AND UR GRades

Answer 1

Answer: First option.

Step-by-step explanation:

You know that the following function model the height "h" of the ball (in feet) after a time "t" (in seconds):

$h=-16t^2+48t+8$

Notice that it is a Quadratic function, therefore, it is a parabola.

Then, the x-coordinate of its vertex will give you the time in seconds in which the balll reaches its maximum height and the y-coordinate of the vertex will give you the ball's maximum height.

 You can find the x-coordinate of the vertex with this formula:

$x=t=\frac{-b}{2a}$

You can identify that:

$a=-16\\b=48$

Substituting values, you get:

$x=t=\frac{-48}{2(-16)}=1.5$

FInally, you must substiute this value into the Quadratic function and then evaluate in order to find the ball's maximum height.

This is:

 $h=-16(1.5)^2+48(1.5)+8=44$