A shipping company sells large boxes and small boxes. The dimensions of the large box are 3 times the dimensions of the small box. How does the volume of the large box compare to the volume of the small box?
a) the volume of the large box is 3 times the volume of the small box
b) 6 times
c) 9 times
d) 27 times

d) 27 times

Step-by-step explanation:

Let l,w, and h represent the length, width and height of the small box.

Therefore, 3l,3w, and 3h are the dimensions of the large box.

The volume of a rectangular prism, such as a box, is the product of its length, width and height

Volume of small box = l*w*h = lwh

Volume of large  box = 3l*3w*3h = 27lwh

So we can see that the volume of the large box is 27 times larger.

answer is 67%

step-by-step explanation:

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.