Your car averages 380 miles on a 14-gallon tank of gas. you run out of gas on a deserted highway, but have 1/2 gallon of lawn mower gas with you. at the current rate of travel, how far will you be able to go and will you reach the nearest gas station 15 miles away?

Hey!

Hope this helps...

So to solve this, we want to know how many miles can we do in every 1 gallon of gas.

To solve this, we do: 380 / 14 = 27.14 miles for every 1 gallon

Okay, so if we have 1/2 a gallon stashed away, how far can we get on every 1/2 gallon...

To solve this, we do: 27.14 / 2 = 13.57 miles for every 1/2 gallon

So...

The answer is: We will NOT be able to get to the Gas Station that is 15miles away, because we can only go about 13.5 miles with every 1/2 gallon.

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.

i have no clue what you just said. write a question in english?