Answer:
23
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = x² - 4
f(x) = -2x - 3
g(-6) is x = -6 for function g(x)
f(-6) is x = -6 for function f(x)
<u>Step 2: Evaluate</u>
g(-6)
- Substitute in <em>x</em>: g(-6) = (-6)² - 4
- Exponents: g(-6) = 36 - 4
- Subtract: g(-6) = 32
f(-6)
- Substitute in <em>x</em>: f(-6) = -2(-6) - 3
- Multiply: f(-6) = 12 - 3
- Subtract: f(-6) = 9
g(-6) - f(-6)
- Substitute: 32 - 9
- Subtract: 23
Answer:
x^4 -x^3 -4x^2-3
Step-by-step explanation:
f(x)=x^4−x^2+9
g(x)=x^3+3x^2+12
(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)
Distribute the minus sign
(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12
I like to line them up vertically
x^4 −x^2+9
- x^3 -3x^2-12
---------------------------
x^4 -x^3 -4x^2-3
Answer:
B 12x+11
Step-by-step explanation:
4x + 8x + 7 + 4
Combine like terms
12x +11
Tom is incorrect
He keeps getting the same number of 1:6 on each roll.
The expressions that are equivalent when m = 1 and m = 4 is;
Option B: 3m + 4 and m + 4 + 2m
We are given m = 1 and m =4;
A) 5m - 3 and 2m + 5 + m
B) 3m + 4 and m + 4 + 2m
C) 2m + 7 and 3m - 3 + m
D) 5m + 3 and 4m + 2 + 2m
For option B; 3m + 4 and m + 4 + 2m
Let's put m = 1
3(1) + 4 = 7
Also, 1 + 4 + 2(1) = 7
Similarly, let us put 4 for m to get;
3(4) + 4 = 16
Also, 4 + 4 + 2(4) = 16
In both cases, the expressions are equivalent and as such option B is the right one.
Read more about algebra simplifications at; brainly.com/question/4344214
