PLZ HELP Solve for x: |3x + 12| = 18 the answers are a x = 2, x = –10 b x = 2, x = –2 c x = 10, x = –10 d x = –2, x = 10

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PLZ HELP Solve for x: |3x + 12| = 18 the answers are a x = 2, x = –10 b x = 2, x = –2 c x = 10, x = –10 d x = –2, x = 10

Mathematics
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A- x=2, x=-10
A
thanks can you guys help me with another?

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sure
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 $368 in 1 week. How many hours (regular plus overtime) did she work? (4 points)
anyone there?
Hi! :) Give me a minute to work it out and i will help
ok
So, for part A, being that there are no specified amount of hours worked that week, but the variable for hours worked is X, the equation for A is X(8)=W because X is obviously hours worked and she gets 8 dollars per hour before overtime, so X times 8 is equal to W (wages earned). Once you find out how many hours she worked you could plug that in for X.
sorry im confused
Ok, so X is the amount of hours worked, right?
ya
When there is no overtime, how much does she earn per hour?
8
Ok, so lets just say and pretend for a minute she worked 2 hours that week, how much money would she earn?
16$
and how did you get that? By multiplying 2x8 right?
yep
Okay, even if we don't know the number of hours she worked yet, we would still have to multiply some number by 8$. So, recall that X is the number of hours she worked (but we don't know that that value is)
so it would be w=8x?
So, X8=W
Yea!
ok
Do you understand how that comes to be tho?
yes
Why don't you give part B a try and ill check your answer
ok sure
what is the S in the problem?
Overtime hours worked
ok
W=8x + 12 x y?
Yes! That looks good!! it should have been S=8x+12y instead of W=8x+12y but that is my fault, i accidentally told you the wrong thing for S, but yes you did it well! Did you want to try C and ill check your answer?
sure

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