Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. last week he worked 35 hours and earned $436.60. write and solve an equation to find julio’s normal hourly rate, r.

30*r+5*1.4r=436.6

30r+7r=436.6

37r=436.6

r=436.6/37

r=11.8

r=$11.80 is Julio's normal rate

1.4*11.80=$16.52

30*$11.80+5*$16.52=$354+$82.60=$436.60

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.

answer: the is put the 450

step-by-step explanation: