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

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

what "following statement"?

step-by-step explanation: