Answer:
x = -1, 19
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Multiple Roots
- Completing the Square: -b/(2a)
Step-by-step explanation:
<u>Step 1: Define</u>
2x² - 20x = x² - 19
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract x² on both sides: x² - 20x = -19
- Complete the Square [Addition Property of Equality]: x² - 20x + 100 = -19 + 100
- [Complete the Square] Simplify: (x - 10)² = 81
- [Equality Property] Square root both sides: x - 10 = ±9
- [Addition Property of Equality] Add 10 on both sides: x = 10 ± 9
- Evaluate: x = -1, 19
Answer: -96
<u>Step-by-step explanation:</u>
f(x) = e⁶ˣ g(x) = 8 ln(x)
f(-2) = e⁶⁽⁻²⁾
= e⁻¹²
g(e⁻¹²) = 8 ln(e⁻¹²)
= 8(-12) <em>ln and e cancel </em>
= -96
Answer:
f(3) = 7
Step-by-step explanation:
f (x)=x + 4
Let x=3
f (3)=3 + 4
f(3) = 7
The answer is 1 over 6, 1/6.
Since the denominators (bottom numbers) are the same then they don't need to be changed and can therefore be simplified by subtraction.
