Given the function f(x)=2(x+6)-4, for what values of x isf(x)=6?

The answer to your question is x = -1

Step-by-step explanation:

Data

f(x) = 2(x + 6) - 4

f(x) = 6

Process

1.- Equal the function to 6

             6 = 2(x + 6) - 4

2.- Expand

             6 = 2x + 12 - 4

3.- Simplify like terms

             6 = 2x + 8

4.- Substract 8 in both sides

             6 - 8 = 2x + 8 - 8

5.- Simplify

             - 2 = 2x

6.- Divide both sides by 2

            -2/2 = 2x/2

7.- Simplify

            -1 = x

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.