Matt wants to decorate his skateboard with decals. His skateboard is 28 3/4 inches long. The decals are 5 1/2 inches long. If matt arranged them in a line from the front to the back how many decals will fit?

5 decals

Step-by-step explanation:

Given that :

Length of skateboard = 28 3/4

Length of decals = 5 1/2 inches

The number of decals that will fit can be obtained by:

Dividing the length of skateboard by the length of Decal

28 3/4 ÷ 5 1/2

115 /4 ÷ 11/ 2

115 / 4 * 2 /11

(115 * 2) / (4 * 11)

230 / 44

= 5.227

Hence, the number of decals that will fit is 5

.

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.