Answer:
(f-g)(x) = - 3 x² + 3 x -6
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given function f(x) = x² + x - 5
g(x) = 4 x² - 2 x + 1
(f-g)(x) = f(x) - g(x)
= x² + x - 5 - (4 x² - 2 x + 1)
= x² - 4 x² + x + 2 x - 5 -1
= - 3 x² + 3 x -6
(f-g)(x) = - 3 x² + 3 x -6
Answer:
75,076
Step-by-step explanation:
19-4 = 15
14+4 = 18
15 x 18 = 270, then add 4 which equals 274.
274 x 274 = 75,076
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:

- Exponents:

- Multiply:

- Subtract:

- Factor:

- Simplify:

- Factor:

- Divide:

Using PEMDAS
P = 1x1+9x(0.01)+1x(0.001)
E = no change
M = 1+0.09+0.001
D = no change
A = 1.091
S = no change
final answer is 1.091
Answer:
D Not similar
Step-by-step explanation:
For similar triangles the sides are always in proportions.
Here two sides are in proportion but third side isn't. So triangles are not similar.