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:

Answer:
22
Step-by-step explanation:
The answer is 22. You solve the equation 3x+10=7x-6 like so
3x+10=7x-6
-3 = -3
10= 4x-6
+6 +6
16=4x
x=4
You then plug in the value of x to the equation for LM.
7x-6 becomes 7*4-6 which is 22.
Answer:
28 meters²
Step-by-step explanation:
Area of triangle = 1/2(base x height).
It is given that:
base = 4 meters
height = 14 meters
Plug in the corresponding numbers to the corresponding terms:
Area of the triangle = 1/2(4 * 14)
Area of the triangle = (4 * 14)/2
Area of the triangle = 56/2
Area of the triangle = 28 meters²