Using f(x) = 3x - 3 and g(x) = 2x, what is f(4) - g(2) ?
2 answers:
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS<u> </u>
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (2, 5)
Point (-3, 7)
<u>Step 2: Identify</u>
x₁ = 2, y₁ = 5
x₂ = -3, y₂ = 7
<u>Step 3: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [Slope Formula]:
- [Slope] [Fraction] Subtract:
- [Slope] [Fraction] Rewrite:
Answer:
C
Step-by-step explanation:
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8 = (2
)³ ⇒ a = 2
27 = (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2
× 3y²) + (3y²)²)
= (4 + 6
y² + 9
)
Hence the factored form of the expression is C
