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Svet_ta [14]
3 years ago
6

Solve for x: 3|2x - 2| + 6 = 18.

Mathematics
2 answers:
belka [17]3 years ago
8 0

Answer:

b

Step-by-step explanation:

3|2x-2| = 18-6

|2x-2| = 12/3

|2x-2|=4

2x-2 =+-4

2x -2 = -4

2x= -4+2

2x=-2

x=-1

2x -2 = 4

2x= 4+2

2x=6

x=3

alukav5142 [94]3 years ago
4 0

Answer:

answer: b) x = 3, x = -1

Step-by-step explanation:

3|2x - 2| + 6 = 18.

divid by 3 :

|2x - 2| + 2 = 6

add -2 :  |2x - 2|  = 4

2x-2=4 or 2x-2=-4

2x=6 or 2x=-2

x=3 or x=-1

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Divide 4 2/3 & 3 1/3. Simplify the answer and write it as a mixed number.
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Answer:

4 2/3 ÷ 3 1/3= 1 2/5

Step-by-step explanation:

First, you turn the mixed terms into an improper fraction like this

4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.

3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.

Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10

14 × 3 = 42 and 3 × 10= 30

Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:

(For this you need to find the greatest common factor)

42/30 →  42 and 30 greatest common factor is 6 because they are divisible and factor of 6.

Now you divide both the denominator and the numerator y 6 like this:

42 ÷ 6= 7

30 ÷ 6= 5

Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.

Overall, We have our answer 1 2/5

I hope this helps :D  

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2 years ago
In how many ways can 7 students be seated at 7 desks?
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3 years ago
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