(x - 12y = -4
( x - 9y = 7

9514 1404 393

  (x, y) = (40, 11/3)

Step-by-step explanation:

The variable x can be eliminated by subtracting the first equation from the second.

  (x -9y) -(x -12y) = (7) -(-4)

  3y = 11 . . . . . . .simpify

  y = 11/3 . . . . . .divide by 3

  x -9(11/3) = 7 . . . . substitute for y in the second equation

  x = 40 . . . . . . . add 33

The solution is (x, y) = (40, 11/3).

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.