Question

Solve for x: |4x + 12| = 16

x = 7, x = –7

x = 1, x = –1

x = 1, x = –7

x = –1, x = 7

Answer 1

abs(4x+12)=16
4x+12=16
4x=16-12
4x=4
x=4/4=1
---------------
4x+12=-16
4x=-16-12
4x=-28
x=-28/4
x=-7
Answer: x=1, -7.
The answer is C.

Answer 2

| 4x + 12 | = 16

4x + 12 = 16 -(4x + 12) = 16
4x = 16 - 12 -4x - 12 = 16
4x = 4 -4x = 16 + 12
x = 1 -4x = 28
x = -7

I agree...answer is C

Answer 3

Oh. I did it wrong then lol Thank you! Can you help with a few more?

Answer 4

possibly....can't make no promises I will know the answer

Answer 5

Solve: negative 1 over 2 x + 2 = –x + 7

Answer 6

and also this one: Lana makes $8 an hour plus $12 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.

Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. (3 points)

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points)

Part C: Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work? (4 points)


(I am so confused and I'm also sick on top of this :( )

Answer 7

-1/2x + 2 = -x + 7 --- add x to both sides
-1/2x + x + 2 = 7 -- subtract 2 from both sides
-1/2x + x = 7 - 2 -- combine like terms
-1/2x + 2/2x = 5
1/2x = 5
x = 5/(1/2)
x = 5 * 2/1
x = 10

Answer 8

A. W = 8x
B. I am not sure how to write this one...
C. 40 * 8 = 320 regular pay
368 - 320 = 48....48/12 = 4
she worked 40 regular hrs and 4 overtime hrs

Answer 9

Hope you get to feeling better...sorry I couldn't help more