Answer:
Constant of proportionality = 30
Example: r = 6, V = 5
Step-by-step explanation:
Inverse proportion: V*r = constant
Given r=3, V=10, constant = V*r = 30
Example:
r = 6, V = 30/6 = 5
Answer:
Step-by-step explanation:
x^2 + 3x + 2 = (x+1)(x+2)
x^2 + 4x + 3 = (x+1)(x+3)
LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
Answer:
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Step-by-step explanation:
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