Answer:
(6, 44)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 4x + 20
y = 8x - 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 8x - 4 = 4x + 20
- Subtract 4x on both sides: 4x - 4 = 20
- Add 4 on both sides: 4x = 24
- Divide 4 on both sides: x = 6
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = 8x - 4
- Substitute in <em>x</em>: y = 8(6) - 4
- Multiply: y = 48 - 4
- Subtract: y = 44
A restricted value is a value that will make the fraction undefined, and thus will make it impossible to exist.
Restricted values can exist in two forms: asymptotes and holes.
By simplifying all sides of this expression, we can find the restricted values.
After finding factors, and then cancelling like factors, keeping in mind the original factors in the denominator, we can find three restrictions:
1, 2, and -2.
Answer:
what??? explain more pls
Step-by-step explanation:
Answer/Step-by-step explanation:
1. ![\frac{(-2)^{-5}}{(-2)^{-10}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-2%29%5E%7B-5%7D%7D%7B%28-2%29%5E%7B-10%7D%7D%20)
Apply the Quotient rule: i.e. ![\frac{x^n}{x^m} = x^{n - m}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5En%7D%7Bx%5Em%7D%20%3D%20x%5E%7Bn%20-%20m%7D%20)
![= (-2)^{-5 - (-10)} = (-2)^5} = -32](https://tex.z-dn.net/?f=%20%3D%20%28-2%29%5E%7B-5%20-%20%28-10%29%7D%20%3D%20%28-2%29%5E5%7D%20%3D%20-32%20)
2. ![2^{-1} * 2^{-4}](https://tex.z-dn.net/?f=%202%5E%7B-1%7D%20%2A%202%5E%7B-4%7D%20)
Apply the product rule: i.e.
.
![= 2^{-1 + (-4)} = 2^{-1 - 4}](https://tex.z-dn.net/?f=%20%3D%202%5E%7B-1%20%2B%20%28-4%29%7D%20%3D%202%5E%7B-1%20-%204%7D%20)
![= 2^{-5}](https://tex.z-dn.net/?f=%20%3D%202%5E%7B-5%7D%20)
Apply the negative exponent rule: i.e. ![x^{-n} = \frac{1}{x^n}](https://tex.z-dn.net/?f=%20x%5E%7B-n%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%5En%7D%20)
![= 2^{-5} = \frac{1}{2^5}](https://tex.z-dn.net/?f=%20%3D%202%5E%7B-5%7D%20%3D%20%5Cfrac%7B1%7D%7B2%5E5%7D%20)
![= \frac{1}{32}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7B32%7D%20)
3. ![(-\frac{1}{2})^3 * (-\frac{1}{2})^2](https://tex.z-dn.net/?f=%20%28-%5Cfrac%7B1%7D%7B2%7D%29%5E3%20%2A%20%28-%5Cfrac%7B1%7D%7B2%7D%29%5E2%20)
Apply product rule
![= (-\frac{1}{2})^{3 + 2}](https://tex.z-dn.net/?f=%20%3D%20%28-%5Cfrac%7B1%7D%7B2%7D%29%5E%7B3%20%2B%202%7D%20)
![= (-\frac{1}{2})^{5}](https://tex.z-dn.net/?f=%20%3D%20%28-%5Cfrac%7B1%7D%7B2%7D%29%5E%7B5%7D%20)
![= -\frac{1^5}{2^5}](https://tex.z-dn.net/?f=%20%3D%20-%5Cfrac%7B1%5E5%7D%7B2%5E5%7D%20)
![= -\frac{1}{32}](https://tex.z-dn.net/?f=%20%3D%20-%5Cfrac%7B1%7D%7B32%7D%20)
4. ![\frac{2}{2^{-4}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B2%5E%7B-4%7D%7D%20)
Apply the rules of 1 and quotient rule
![= 2^{1 - (-4)}](https://tex.z-dn.net/?f=%20%3D%202%5E%7B1%20-%20%28-4%29%7D%20)
![= 2^{1 + 4}](https://tex.z-dn.net/?f=%20%3D%202%5E%7B1%20%2B%204%7D%20)
![= 2^{5} = 32](https://tex.z-dn.net/?f=%20%3D%202%5E%7B5%7D%20%3D%2032%20)