Question

PLEASE HELP!!!!

Answer 1

Answer:

144 ft

Step-by-step explanation:

h = -16t ^2 + 64t + 80,

We want to find the maximum height or the vertex

This occurs when at

t = -b/2a

t = -64/ (2(-16)

  = -64/-32 = 2

When t=2

h(2) = -16 (2)^2 +64(2) +80

     = -16*4+128 +80

     =-64 +128 +80

     =144

h(2) = 144

The maximum height is 144

Answer 2

Answer:

144

Step-by-step explanation:

$h=-16t^2+64t+80$

So you have to figure out which number t results in the maximum h.

First find the range.

$64t+80>16t^2$

$4t+5>t^2$

$t^2-4t-5$

$(t-5)(t+1)$

$t-1$

It looks like t has to be less than 5 and greater than -1 to be positive.

Now just try the numbers 0, 1, 2, 3, 4

0: 80

1: 128

2: 144

3: 128

4:  80