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2 years ago

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

Mathematics

1 answer:

STatiana [176]2 years ago

5 0

ANSWER: x=5/3, -1. Good luck. Hope this suffices.

Explanation for x=-1: |9x-3|=12. Lets take the absolute value brackets away for a sec. Add 3 to both sides 9x-3+3=-12+3, simplify: 9x=-9, divide both sides by nine:9x/9=-9/9. And that means that x=-1.

Explanation for x=5/3: |9x-3|=12. Add 3. 9x-3+3=12+3. Simplify: 9x=15. Divide both sides by 9. 9x/9=15/9. Simplify: x=5/3

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3 years ago

Analyze the diagram below and complete the instructions that follow.

valentinak56 [21]

Answer:

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General Formulas and Concepts:

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Order of Operations: BPEMDAS

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Division Property of Equality
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[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

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b is another leg
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Step-by-step explanation:

Step 1: Identify

a = x + 3

b = x

c = √117

Step 2: Solve for x

Substitute [PT]: (x + 3)² + x² = (√117)²
Expand [FOIL]: x² + 6x + 9 + x² = (√117)²
Combine like terms: 2x² + 6x + 9 = (√117)²
Exponents: 2x² + 6x + 9 = 117
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Factor out GCF: 2(x² + 3x - 54) = 0
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4 0

3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Let x denote P(B=1), we know that

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3 years ago

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Dahasolnce [82]

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6 0

3 years ago

​Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12

Solve the absolute value equation. Check for extraneous solutions: |9x-3|=12