Answer:
(f + g)(x) = x² + 5x - 36
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 4x - 32
g(x) = x - 4
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute: (f + g)(x) = x² + 4x - 32 + (x - 4)
- Combine like terms (x): (f + g)(x) = x² + 5x - 32 - 4
- Combine like terms (Z): (f + g)(x) = x² + 5x - 36
Answer: $25.41
Convert the percentage into a decimal, and then multiply that decimal by the total price to find the tip. Subtract the tip amount from the total price to find the price before the tip.
15 ÷ 100 = 0.15
15% of 29.90 = 0.15 · 29.90 = 4.48500 ≅ $4.49
$29.90 - $4.49 = $25.41
∴ the price before tip, <em>b</em>, of Mr. Johnson's lunch is $25.41.
Answer:
16.7 units
Step-by-step explanation:
To get AC, we can use the sine rule here
BC/sine 86 = AC/sin 68
18/sine 86 = AC/sine 68
AC = (18 * sine 68)/sine 86
AC =16.73 units
Week 1, f(1) = 15(1) + 230
week 2 f(2) = 15(2) + 230
week 3 f(3) = 15(3) + 230
week w f(w) = 15(x) + 230
"w" is how much he's saving every passing week. There's a 230 pegged to the end, that's just how much he initially had in the piggy bank.