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If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 3t^2 - 11?

 Jun 21, 2022
 #1
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-t^2  + 8t - 4 - 3t^2       simplify

 

-4t^2  +  8t  -  4      (1)

 

The  t that maximizes this  =  -8 / (2 * -4)  =    1

 

Putting this back into  (1)  the max value is

 

-4(1)^2  + 8(1)  - 4  =   0

 

 

cool cool cool

 Jun 21, 2022

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