What is the solution to –4|–2x + 6| = –24? a. x = 0 b. x = 0 or x = –6 c. x = 0 or x = 6 d. no solution

Answer: C. x = 0 or x = 6

Explanation/Steps:

-4|-2x+6|=-24 ← Divide both sides by -4

|-2x+6|=6

Then we use the rule where |f(x)| = a ⇒ f(x)=-a or f(x) = a

-2x+6 = -6 or -2x+6 = 6

First way:

-2x+6 = -6 ← Subtract 6 from both sides

-2x + 6 - 6 = -6 - 6

-2x = -12 ← Divide both sides by -2

x = 6

Second way:

-2x+6 = 6 ← Subtract 6 from both sides

-2x + 6 - 6 = 6 - 6

-2x = 0 ← Divide both sides by -2

x = 0

Answer: C. x = 0 or x = 6

Explanation/Steps:

-4|-2x+6|=-24 ← Divide both sides by -4

|-2x+6|=6

Then we use the rule where |f(x)| = a ⇒ f(x)=-a or f(x) = a

-2x+6 = -6 or -2x+6 = 6

First way:

-2x+6 = -6 ← Subtract 6 from both sides

-2x + 6 - 6 = -6 - 6

-2x = -12 ← Divide both sides by -2

x = 6

Second way:

-2x+6 = 6 ← Subtract 6 from both sides

-2x + 6 - 6 = 6 - 6

-2x = 0 ← Divide both sides by -2

x = 0

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )