Answer:
Y= -1/3x +2.5
step-by-step explanation:
first I reconfigured the given equation: x+3y=15
-x+x+3y=15 -x Subtracted x from both sides
3y=15-x Simplify
3y/3=15-x/3 Divide both sides by 3
y=-1/3x+3 Simplify
I turned it into y=-1/3x+5
then I translated the line up and down to find what point crossed (6,1)
The proper value for B in y=mx+b was 2.5
Try using Desmos online calculator it really helps
Hope this helped :)
Answer:
1) The factors of
are ![\mathbf{(x-1)(x-2)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-1%29%28x-2%29%3D0%7D)
Option C is correct.
3) The factors of
are ![\mathbf{(x-2)(x+4)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-2%29%28x%2B4%29%3D0%7D)
Option B is correct.
Step-by-step explanation:
1) Factor : ![x^2-3x+2=0](https://tex.z-dn.net/?f=x%5E2-3x%2B2%3D0)
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : -3x
We can break them as (-2x)( -x)
Solving:
![x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0](https://tex.z-dn.net/?f=x%5E2-3x%2B2%3D0%5C%5Cx%5E2-2x-x%2B2%3D0%5C%5Cx%28x-2%29-1%28x-2%29%3D0%5C%5C%28x-1%29%28x-2%29%3D0)
So, factors of
are ![\mathbf{(x-1)(x-2)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-1%29%28x-2%29%3D0%7D)
Option C is correct.
3) Factor: ![x^2+2x-8=0](https://tex.z-dn.net/?f=x%5E2%2B2x-8%3D0)
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : 2x
We can break them as (4x)( -2x)
Solving
![x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0](https://tex.z-dn.net/?f=x%5E2%2B2x-8%3D0%5C%5Cx%5E2%2B4x-2x-8%3D0%5C%5Cx%28x%2B4%29-2%28x%2B4%29%3D0%5C%5C%28x-2%29%28x%2B4%29%3D0)
So, factors of
are ![\mathbf{(x-2)(x+4)=0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x-2%29%28x%2B4%29%3D0%7D)
Option B is correct.
X = -5 and 3
You solve using the quadratic equation by using the formula below where the coefficients of each term are the letters in alphabetical order.
Cross multiply then solve for x:
3/2 * 125/x
2*125 = 250
3 * x = 3x
3x = 250
x = 83.33 = 83 (rounded)