Answer:
156
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
- Average Rate of Change:
Step-by-step explanation:
<u>Step 1; Define</u>
<em>Identify</em>
f(x) = 5ˣ + 1
Interval <em>x</em> [0, 4] →<em>b</em> = 4, <em>a</em> = 0
<u>Step 2: Find Rate of Change</u>
- Substitute in variables [Average Rate of Change]:

- [Average Rate of Change] Substitute in <em>x</em> [Function f(x)]:

- (Parenthesis) Evaluate exponents:

- (Parenthesis) Add:

- [Fraction] Subtract:

- Divide:

0.5x - 2 < 5.5
Add 2 to both sides.
0.5x < 7.5
Now divide by 0.5 on both sides.
x < 15
<span>4x^2 - 36 = 0 ( Original equation )
4x^2 = 36 ( Add 36 to both sides )
x^2 = 9 ( Divide by 4 on both sides )
x = 3 , -3 ( Take the square root of 9 )
Solution set: { +3 , -3 } answer is x = +3 , x = -3</span>
B because first you do the two triangles which =3 then you get the area for the square in the middle which is 15 then you add them up to get 18
y=-4-x
y=2x-1
-4-x=2x-1
3x=-3
x=-1
y=-3
The type of equation is consistent because they intersect at ( -1,-3 )