11. While playing basketball Jessica shoots an air-ball. The height h in feet of the ball is given by h(t) = -16t2 + 32t +8, where h(t) represents the height in feet after t seconds. How long will it take the ball to hit the ground?

seconds

Step-by-step explanation:

h(t) = -16t² + 32t +8

0 = -16t² + 32t +8

0 =-0.125(-16t² + 32t+8)

0=2t²-3t-1

0=2t²-2t-t-1

Group

0=(2t²-2t)(-t-1)

0=2t(t-1)-1(t+1)

0=(2t-1)(t-1)(t+1)

0=2t-1                                        0=t-1                             0=t+1

1/2(1)=(2t)1/2                              0+1=t-1+1                        0-1=t+1-1

0.5=t                                            1=t                                 -1=t

t=0.5                                             t=1                                  t=-1

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)