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
Answer:
1/6
Step-by-step explanation:
sim[le thought
Answer: x²+8x+16
Step-by-step explanation:
(x+4)^2=(x+4)(x+4)
Now use distributive property to expand (x+4)(x+4):
(x+4)(x+4)=x²+4x+4x+4(4)
x²+4x+4x+4(4)=x²+8x+16
5/2c - 3 = 3/7c + 4...subtract 3/7c from both sides
5/2c - 3/7c - 3 = 4.....add 3 to both sides
5/2c - 3/7c = 4 + 3....common denominator of 7 and 2 is 14
35/14c - 6/14c = 7...simplify
29/14c = 7....multiply both sides by 14/29, eliminating the 29/14 on left
c = 7 * 14/29
c = 98/29 = 3 11/29
Answer: 62
Step by step: sorry !!