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Sagot :
The correct true statement is the swimmer comes back up 9 seconds after the timer was started.
Maximum height of a function
The maximum height of a function is the point where the velocity the body is zero.
Given the function that represent the height of the swimmer as h(t)=t^2−12t+27
If the velocity of the function is zero, hence;
h'(t) = 2t - 12
0 = 2t - 12
2t = 12
t = 6secs
Substitute t = 6 into the function as shown:
h(6) = 6^2−12(6)+27
h(6) = 36 - 72 + 27
h(6) = -36 + 27
h(6) = -9 feet
Hence the correct true statement is the swimmer comes back up 9 seconds after the timer was started.
Learn more on maximum height here: https://brainly.com/question/23144757
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