Answer:
f(x) = -2x² - 8x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(bx + c)² + d
Step-by-step explanation:
<u>Step 1: Define function</u>
Vertex Form: f(x) = -2(x + 2)² + 6
<u>Step 2: Find Standard Form</u>
- Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6
- Distribute -2: f(x) = -2x² - 8x - 8 + 6
- Combine like terms (constants): f(x) = -2x² - 8x - 2
3. Credit Card: (1842.66 - 250) (.145/12) = $19.24
Savings: 250(0.04/12) = $0.83
Difference = 19.24 - 0.83 = $18.41
4. Credit Card: (1842.66 - 500) (.145/12) = $16.22
You will save $18.41 - $16.22 = $2.19 by putting all $500 toward the higher credit card rate.
Answer:
$162.50
Step-by-step explanation:
I=Prt
I=(5000)(0.065)(0.5)
I=162.50
0.5 = 6 months, which is half of a year
0.065 = the percent (6.5%) in decimal form
Answer: 8.48 Feet
Step-by-step explanation:
We can use the Pythagorean Theorem, A^2 + B^2 = C^2
A^2 + B^2 = C^2
A^2 + 3^2 = 9^2
A^2 + 9 = 81
81 - 9 = A^2
72 = A^2
√72 = A
8.48 = A
Hope this helps!
