It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ 9:00a.m. and 10:00p.m. is modeled by the function f(t)=−t2+5.5t+86​, where t represents hours after noon.   How many hours after noon does it reach the hottest​ temperature?   It will be ??? hours after noon.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 2RE: The population of a herd of deer is represented bythe function A(t)=205(1.13)t , where tis given...
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It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ 9:00a.m. and 10:00p.m. is modeled by the function f(t)=−t2+5.5t+86​, where t represents hours after noon.
 
How many hours after noon does it reach the hottest​ temperature?
 
It will be ??? hours after noon.
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