The height, h metres, of a springboard diver above the surface of the water t seconds after she leaves the board is given by h=-5t-12+7. Find the maximum height reached by the diver? How long does it take for the diver to reach maximum height? Find the height of the diving board?

The height of the diver is 7m

Step-by-step explanation:

Given

Solving (a): The maximum height reached

First, we calculate the time to reach the maximum height using:

--- maximum of a function

Where

So, we have:

So, the maximum height is:

Hence:

Solving (b): Time to reach maximum height

This has been calculated in (a)

Solving (c): Height of the board.

This can be calculated by setting --- i.e. the height of the diver before diving

So, we have:

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

they aren't great and cause destruction, idk man