Factor this expression completely.

35x − 40

A) 5(7x − 8)
B) 5(7x + 8)
C) 7(5x + 8)
D) 7(5x − 8)

A

Step-by-step explanation:

5 and 7 are both common factors of 35 and 40

Looking at the options you can eliminate C and D right away because 7 times 8 = 56 and not 40 like the problem is asking.

This leaves A and B. Looking at the equation the difference between the two are the + and -

Using the original equation (35x-40) as reference we see that it subtracts the two variables. Therefore leaving A as the answer

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.