Suppose a car tire has a diameter of 32 inches. How many complete rotations will the tire make if it travels one mile

about 630.57 rotations per mile.

Step-by-step explanation: There are 1760 yards in one mile. 36 inches per yard. Convert miles to inches: 1760×36=63360

Figure the circumference of the tire: C=π×32 3.14×32=100.48=C

Divide the length of the mile by the circumference of the tire:. 63360/100.48 = 630.57 approximately.

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.