Answer:
R(x) - S(x) = 9x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
R(x) = 6x - 3
S(x) = -3x - 8
<u>Step 2: Find</u>
- Substitute in functions: R(x) - S(x) = 6x - 3 - (-3x - 8)
- [Distributive Property] Distribute negative: R(x) - S(x) = 6x - 3 + 3x + 8
- [Addition] Combine like terms: R(x) - S(x) = 9x + 5
Answer:
16
Step-by-step explanation:
When the hypotenuse is given, you can use this formula to solve for the leg
b = root c^2 - a^2
b = root 20^2 - 12^2
b = 16 in
Hope this helps!
Answer:
F. 5(12)(7)
Step-by-step explanation:
V=L×W×H
V=7×5×12
=F. V=5(7)(12)
In order to find what x equals, we need to make it so x is on one side and what it equals, on the other.
First of all, we subtract 10 from both sides. You will now have:
x^3 - 5x^2 + 2x - 10 = 0
You will now either factor it which is recommended or use the Cubic Formula which is pretty difficult to memorize and to solve. I will now factor it.
( x - 5) ( x^2 + 2 ) = 0
You can now take both of the expressions inside and make them equal to zero and solve them.
x - 5 = 0x = 5
x^2 + 2 = 0x^2 = -2
x <span>≈</span> 1.41421356i
The second option is irrational and uses an imaginary number which you will start seeing in Alegbra II (or already have if you are taking it or have already passed it), so the first one which is 5, is the correct answer.
Answer: 5