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Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (5, -6)
Point (-3, 12)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract/Add:

- [√Radical] Evaluate Exponents:

- [√Radical] Add:

- [√Radical] Simplify:

Club Members = $25 + $7 per movie(x)
No membership club = $12 per movie(x)
We need to know how many movies must each purchase to equal in costs.
Set up both equations to equal each other and solve for x=movies.
25 + 7x= 12x
25 + 7x -7x = 12x - 7x
25= 5x
25/5=5x/5
5=x it will take them both 5 movies each to have equal costs.
F(x) = -(x+7)² + 4
f(x) = -(x+7)(x+7) + 4
f(x) = -(x² + 7x + 7x + 49) + 4
f(x) = -x² - 14x - 49 + 4
f(x) = -x² - 14x - 45
True for f(x)
<span>the equation is quadratic.
the vertex is (7,4)
</span><span>the y-intercept is (0,4)</span>