Amy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $38 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $51 and costs an additional $0.08 per mile driven.

The first plan would be cheaper

Step-by-step explanation:

Lets say she drives 12 miles. Write an equation y=0.12x+38 then substitute the x with 12:

y=0.12(12)+38

y=1.44+38

y=39.44

Now you have to write a new equation for the second plan y=0.08x+51 and substitute x with 12:

y=0.08(12)+51

y=.96+51

y=51.96

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this