Answer:
g(-4) = 18.
Step-by-step explanation:
Find g(-4): we replace the x in g(x) by -4:
g(-4) = (-4)^2 + 2
= 16 + 2
= 18.
A - Mr. Smith
17.25 ÷ 3
= <u>$5.75 ~ $6 Rounded-Off</u>
B - Ms. Lockhart
42 ÷ 7
= <u>$6</u>
Each Ticket Costs approx. $6 Each
Answer:
(7, 3)
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>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + 3y = 37
y = x - 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + 3(x - 4) = 37
- Distribute 3: 4x + 3x - 12 = 37
- Combine like terms: 7x - 12 = 37
- [APE] Add 12 on both sides: 7x = 49
- [DPE] Divide 7 on both sides: x = 7
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x - 4
- Substitute in <em>x</em>: y = 7 - 4
- Subtract: y = 3
Given:
Dana
Neil
Frank
a) Frank's age is one-fourth of Dana's age.
Dana's age = d
Frank's age = f
f = 1/4 * d
f = d/4
b) Neil's age is one-half of the difference between Dana's age and Frank's age.
Neil's age = n
n = 1/2 * (d - d/4)
n = d/2 - d/8
c) dana is 16 year's old.
f = d/4 = 16/4 = 4
n = d/2 - d/8 = 16/2 - 16/8 = 8 - 2 = 6
Dana is 16 years old
Neil is 6 years old
Frank is 4 years old