B) y=|x-2|-3
Is your answer hope this helps.
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Answer:
x = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2.5x + 10 = x - 0.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>x </em>on both sides: 1.5x + 10 = -0.5
- Subtract 10 on both sides: 1.5x = -10.5
- Divide both sides by 1.5: x = -7
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 2.5(-7) + 10 = -7 - 0.5
- Multiply: -17.5 + 10 = -7 - 0.5
- Add/Subtract: -7.5 = -7.5
And we have our answer!
Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form