Solve the system of equations.
- 4x +lly = 15
x = 2y

x

=6,y=3

Step-by-step explanation:

x

−

2

y

=

0

⇒

x

=

2

y

Substitute x=2y into 4x-3y=15, we get :4(2y)−3y=158y−3y=155y=15⇒y=3x=2y=2×3=6

she will travel a distance in the range of 3 - 11 miles

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.