When joey dives off a diving board, the equation of his pathway can be modeled by h = -16t2 + 15t + 12. a) find joey's maximum height. b) find the time it will take for joey to reach the water.

a) 15.52ft

b) 0.47 secs

Step-by-step explanation:

h = -16t^2 + 15t + 12

The maximum height is reached after -b/2a seconds

a = -16 , b = 15, c= 12

-b/2a = -15/2(-16)

= -15/-32

= 0.47 secs

The maximum height = -16(0.47)^2 + 15(0.47) + 12

= -3.5344 + 7.05 + 12

= 15.5156

= 15.52ft

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!