+0  
 
0
213
1
avatar

Find the maximum value of 8x - x^2 + 7x - 2x^2, for real numbers x.

 Jun 30, 2022
 #1
avatar+128079 
+1

Rearrange as

 

-3x^2 +  15x

 

The max value occurs when x =   -(15) / (2 * -3)  =   -15 / -6  =  5/2 =  2.5

 

And the max is

 

-3 (2.5)^2  + 15 (2.5)  = 

 

18.75

 

 

cool cool cool

 Jun 30, 2022

0 Online Users