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What real value of t produces the smallest value of the quadratic t^2-9t-36? 

 

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

 


 

 Feb 26, 2020
 #1
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The  t  that produces  the  smallest value  is  given by    -(-9) / [2 * 1 ]  =  9/2 = 4.5

 

Subbing  this  into  the function the  min  is

 

(4.5)^2  - 9(4.5)  - 36  = -56.25

 

 

 

The second one is similar

 

The  t  that  maximizes  this is  -8 / [ 2 * -1 ]  =  4

 

Subbing this into  the function gives  us  the  max  of

 

-(4)^2  + 8(4) - 4   =  12

 

 

cool cool cool

 Feb 26, 2020

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