Answer:
<h3>
x₁ = -1, x₂ = 3</h3>
Step-by-step explanation:
![4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3](https://tex.z-dn.net/?f=4x%5E2-8x-12%3D0%5C%5C%7B%7D%5Cqquad%5Cqquad%5E%7B%5Cdiv4%5Cqquad%5Cdiv4%7D%5C%5Cx%5E2-2x-3%3D0%5C%5C%5C%5Cx%5E2%2Bx-3x-3%3D0%5C%5C%5C%5Cx%28x%2B1%29-3%28x%2B1%29%3D0%5C%5C%5C%5C%28x%2B1%29%28x-3%29%3D0%5C%5C%5C%5Cx%2B1%3D0%5Cquad%5Cvee%5Cquad%20x-3%3D0%5C%5C%5C%5Cx%3D-1%5Cquad%5Cvee%5Cquad%20x%3D3)
Number 6
Answer:
y = (c - ax)/b
Step-by-step explanation:
ax + by = c
by = c - ax
y = (c - ax)/b
<em>I answered number 5 in your last question.</em>
Answer:
x = 5 and y = 3
Step-by-step explanation
y crosses out so you are left with
4x = 20 (divide by 4)
x = 5
plug x into either equation
5 + y = 8 (subtract 5)
y = 3
Answer:
![m=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%7D%7B3%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (1, -5)
Point (7, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
![m=\frac{-1+5}{7-1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1%2B5%7D%7B7-1%7D)
- Add/Subtract:
![m=\frac{4}{6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B6%7D)
- Simplify:
![m=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%7D%7B3%7D)
Answer:
$12.27
Step-by-step explanation:
.07 times 179.53 is 12.5671 so rounded to 12.27