Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Combining Like Terms
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
<u>Step 2: Find (f · g)(x)</u>
- Substitute: (f · g)(x) = (4x + 1)(x² - 5)
- Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5
- Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5
This solution has no solutions because when you do a substitution method you might end up getting rid of the variable and left with a constant.
Answer: 5.34
Step-by-step explanation: Which is true of the Monroe Doctrine?
A) It was useful for a short time in national politics.
B) It was protection for only the United States.
C) It was mostly written by James Monroe.
D) It has lasting power in national politics today.
Answer:
x = -3 and x = 3/2
Step-by-step explanation:
2x^2 + 3x - 9 = 0
2x^2 + 6x - 3x - 9 =0
2x(x + 3) - 3(x + 3) = 0
(2x - 3)(x + 3) = 0
2x - 3 = 0; x = 3/2
x + 3 = 0; x = -3
