Answer:
m = -1/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
9m - m + 3 = -2(m + 1)
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: 8m + 3 = -2(m + 1)
- Distribute -2: 8m + 3 = -2m - 2
- Add 2m on both sides: 10m + 3 = -2
- Isolate <em>m</em> term: 10m = -5
- Isolate <em>m</em>: m = -1/2
we have
![f(x)=x^{2}-2x-3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B2%7D-2x-3)
Find the roots
Equate the function to zero
![x^{2}-2x-3=0](https://tex.z-dn.net/?f=x%5E%7B2%7D-2x-3%3D0)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![x^{2}-2x=3](https://tex.z-dn.net/?f=x%5E%7B2%7D-2x%3D3)
Complete the square. Remember to balance the equation by adding the same constants to each side.
![x^{2}-2x+1=3+1](https://tex.z-dn.net/?f=x%5E%7B2%7D-2x%2B1%3D3%2B1)
![x^{2}-2x+1=4](https://tex.z-dn.net/?f=x%5E%7B2%7D-2x%2B1%3D4)
Rewrite as perfect squares
![(x-1)^{2}=4](https://tex.z-dn.net/?f=%28x-1%29%5E%7B2%7D%3D4)
Square root both sides
![(x-1)=(+/-)2](https://tex.z-dn.net/?f=%28x-1%29%3D%28%2B%2F-%292)
![x=1(+/-)2](https://tex.z-dn.net/?f=x%3D1%28%2B%2F-%292)
![x=1+2=3](https://tex.z-dn.net/?f=x%3D1%2B2%3D3)
![x=1-2=-1](https://tex.z-dn.net/?f=x%3D1-2%3D-1)
therefore
<u>the answer is</u>
![x=3](https://tex.z-dn.net/?f=x%3D3)
Answer:
x=-2, y=-6
Step-by-step explanation:
Simple substitution.
Since y is isolated in one of the equations already, you can plug it into the second equation.
x - 2(3x) = 10
x - 6x = 10
-5x = 10
x = -2
Sub. x = -2 into 3x = y:
3(-2) = y
y = -6
Step-by-step explanation:
When deciding where to put an ordered pair on a graph its important to understand how ordered pairs work.
An ordered pair is split up into to pieces
(x,y) or number example (3,5)
When graphing the x coordinate will fall on your horizontal line or the line that looks like the horizon.
When graphing the y coordinate it will fall on your vertical line or the line that goes right up into the sky like a rocket.
To graph (3,5)
Go to the right 3 and up 5
Sometimes helps to use both fingers to keep your spot. Slide both fingers until they collide and that's where you would plot your point!
Hope this helps if you have an questions just comment and ill try to explain further.