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If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4 +5t^2 - 4t + 18$?

 May 24, 2024

Best Answer 

 #1
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Combining the like terms, we get \(4t^2+4t+14\)

 

Here's the thing though. The graph of this doesn't actually have a maximum. The parabola is facing upwards, meaning the maximum is infinite!

 

The value of t that would get us the minimum value would be -0.5!

 

Thanks! :)

 May 24, 2024
 #1
avatar+810 
0
Best Answer

Combining the like terms, we get \(4t^2+4t+14\)

 

Here's the thing though. The graph of this doesn't actually have a maximum. The parabola is facing upwards, meaning the maximum is infinite!

 

The value of t that would get us the minimum value would be -0.5!

 

Thanks! :)

NotThatSmart May 24, 2024

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