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:
n=-11
Step-by-step explanation:
Since -15 is 4 less than -11, it would be -11.
Hope this helped. :)
Answer:
Step-by-step explanation:
-10+sqrt2x+1 = -5
sqrt2x+1 = -5+10
sqrt2x+1 = 5
2x+1 = sqrt5
2x = sqrt5-1
x = (sqrt5-1)/2
Yes.
To form a triangle every side must be smaller in length than the sum of the two other sides.
For example: sides denoted by a,b,c
for a triangle to form
a<b+c
b<a+c
c<a+b
Thus in the case of the <em>Isosceles </em>triangle with side lengths 1,8,8 the rules aforementioned are fulfilled. This means that a triangle with said side lengths can exist.