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BaLLatris [955]
3 years ago
10

Solve for x: 3|x - 3| + 2 = 14

Mathematics
2 answers:
Xelga [282]3 years ago
7 0
Two solutions,
x=7
x=-1
So, D would be your answer.
PilotLPTM [1.2K]3 years ago
3 0
1 Subtract 22 from both sides
3|x-3|=14-23∣x−3∣=14−2

2 Simplify 14-214−2 to 1212
3|x-3|=123∣x−3∣=12

3 Divide both sides by 33
|x-3|=\frac{12}{3}∣x−3∣=
​3
​
​12
​​

4 Simplify \frac{12}{3}
​3
​
​12
​​ to 44
|x-3|=4∣x−3∣=4

5 Break down the problem into these 2 equations
x-3=4x−3=4
-(x-3)=4−(x−3)=4

6 Solve the 1st equation: x-3=4x−3=4How?
x=7x=7

7 Solve the 2nd equation: -(x-3)=4−(x−3)=4How?
x=-1x=−1

8 Collect all solutions
x=-1,7x=−1,7
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What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times
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The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

<h3>What is division?</h3>

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

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⇒ 3 x 10⁻⁸⁻⁴

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Then the correct option is D.

More about the division link is given below.

brainly.com/question/369266

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3 0
2 years ago
The price of a cup of coffee was $2.35 yesterday. Today, the price fell to $2.10. Find the percentage decrease. Round your answe
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Answer:

  10.6% decrease

Step-by-step explanation:

The percentage change in a quantity is computed using ...

  percentage change = ((new value)/(old value) -1) × 100%

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  = (0.8936 -1) × 100%

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The percentage decrease was about 10.6%.

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