Answer:
B. x = -3 and x = 4
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x² - x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
- Factor: (x - 4)(x + 3) = 0
- Solve: x = 4, -3
Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: -15x + 60 = 180
- Isolate <em>x</em> term: -15x = 120
- Isolate <em>x</em>: x = -8
<u>Step 3: Find m∠BDC</u>
- Define: m∠BDC = (-7x + 12)°
- Substitute in <em>x</em>: m∠BDC = (-7(-8) + 12)°
- Multiply: m∠BDC = (56 + 12)°
- Add: m∠BDC = 68°
Answer:
Jack = 48 years old , Lac = 12 years old
Step-by-step explanation:
Jack = 4Lacy
(Jack - 4) + (Lacy - 4) = 52
Now, substitute.
4Lacy - 4 + Lacy - 4 = 52
5Lacy = 60
Lacy = 60/5 = 12
Jack =4Lacy
=4(12)
=48
Answer:
221640
Work:
516090/4 -129,022.5
221640/4-55,410
814550/4- 203,647.5
