For what value of b does (1/12)^-2b times 12^-2b+2=12?

-1/2
-1/4
1/4
no solution

Always remember

Step-by-step explanation:x^-m=1/x^m

1/12=12^-1

also

(x^m)^n=x^(mn)

also (x^m)(x^n)=x^(m+n)

( \frac{1}{12} )^{-2b}(12)^{-2b+2}=12

( 12^{-1})^{-2b}(12)^{-2b+2}=12

( 12^{2b})(12)^{-2b+2}=12

12^{2b-2b+2}=12

12²=12

so no solution

No solution is right

Step-by-step explanation:

the third picture

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.