Question

what is the maximum function of 9+7x-6x^2?

Answer 1

*max value of...

Answer 2

take its derivative and you get -12x+7=0 and x=-7/12 plug this into equation

Answer 3

-12x+7=0
-12x=-7
x=7/12, plug that into original

Answer 4

9-7*7/12-6*49/144

Answer 5

it's positive 7/12

Answer 6

sorry x=7/12

Answer 7

yea

Answer 8

if you don't know what a derivative is, find the vertex

Answer 9

first coordinate of the vertex is
\[-\frac{b}{2a}\] second coordinate is what you get when you replace x by that value, and that will be your maximum

Answer 10

in fact, this is the method i would use irrespective of whether you know calculus or not

Answer 11

could you complete the square please?

Answer 12

sure

Answer 13

since
\[-\frac{b}{2a}=\frac{7}{12}\] and since the second coordinate is
\[\frac{265}{24}\] when you complete the square you will get
\[-6(x-\frac{7}{12})^2+\frac{265}{24}\]

Answer 14

this is by far the easiest way to complete a square when the leading coefficient it not 1

Answer 15

thanks a lot satellite

Answer 16

yw