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:

Since it says the line will be parallel to that, keep 2x-3y and replace -6 with a variable.
Like this: 2x-3y=c
Replace x and y with the x and y values from (1,-2)
2(1)-3(-2)=c
Solve for c
2+6=c
8=c
Now, replace c in 2x-3y=c with 8:
2x-3y=8 is the answer
Answer:
None of these answers
Step-by-step explanation:
Plug the points into the equation to see if they make sense
(4,-10), -10=3(4)+2, -10=12+2, -10=14. Incorrect
(10,-4). -4=3(10)+2, -4=30+2, -4=32. Incorrect
(-10,-4), -4=3(-10)+2, -4=-30+2, -4=-28. Incorrect
Therefore, the answer is none of these answers
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