You are try to dunk a basketball. you need to jump 2.5 feet in the air to dunk the ball. the height that your feet need to be of the ground is given by the function h(t)= _ 16t2+12r. what is the maximum height your feet will be above the ground? will you be able to dunk the ball?

1)he maximum height your feet will be above the ground is 2.25

2)Will you be able to dunk the ball= No

Step-by-step explanation:

Given:

In order to dunk the basket ball, height needed to jump= 2.5 feet

The height that your feet need to be of the ground is given by the function h(t)= -16t^2+12t

1) the maximum height your feet will be above the ground=?

Given function of height,h(x)=-16t^2+12t

finding maximun of the above function

The maximum of any function written in form of ax^2+bx+c is given by

max= c - (b2 / 4a)

Putting values c=0, b=12 and a=16, we get

max= 0-(12^2/4(-16))

      = 144/64

      =2.25 feet

he maximum height your feet will be above the ground is 2.25 feet.

2)  Will you be able to dunk the ball=?

As the height needed to jump in the air to dunk the ball is 2.5 feet which is greater than the maximum height the feet will be above the ground i.e.

2.5>2.25

hence No you will not be able to dunk the ball !

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.