Answer: (-2,4), because it is the point of intersection of the two graphs
Step-by-step explanation:
i did it
3.75 for 25 because its 6.66666 instead of 7.14
Answer:
11
expression: 6(2)-1
Step-by-step explanation:
6*2=12
12-1=11
Answer:
1/6 of the original cake was left
Step-by-step explanation:
Let
x ----> complete cake
we know that
1) John ate 1/6 of the cake
so
The remaining cake is equal to
![x-\frac{1}{6}x=\frac{5}{6}x](https://tex.z-dn.net/?f=x-%5Cfrac%7B1%7D%7B6%7Dx%3D%5Cfrac%7B5%7D%7B6%7Dx)
2) Susan ate 1/5 of what was left
so
![(\frac{1}{5})\frac{5}{6}x=\frac{1}{6}x](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%29%5Cfrac%7B5%7D%7B6%7Dx%3D%5Cfrac%7B1%7D%7B6%7Dx)
The remaining cake is equal to
![\frac{5}{6}x-\frac{1}{6}x=\frac{4}{6}x=\frac{2}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7Dx-%5Cfrac%7B1%7D%7B6%7Dx%3D%5Cfrac%7B4%7D%7B6%7Dx%3D%5Cfrac%7B2%7D%7B3%7Dx)
3) Chan ate 1/4 of what was left after that
so
![(\frac{1}{4})\frac{2}{3}x=\frac{2}{12}x=\frac{1}{6}x](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5Cfrac%7B2%7D%7B3%7Dx%3D%5Cfrac%7B2%7D%7B12%7Dx%3D%5Cfrac%7B1%7D%7B6%7Dx)
The remaining cake is equal to
![\frac{2}{3}x-\frac{1}{6}x=\frac{3}{6}x=\frac{1}{2}x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B6%7Dx%3D%5Cfrac%7B3%7D%7B6%7Dx%3D%5Cfrac%7B1%7D%7B2%7Dx)
4) Cindy ate 1/3 of what was left after that
so
![(\frac{1}{3})\frac{1}{2}x=\frac{1}{6}x](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%29%5Cfrac%7B1%7D%7B2%7Dx%3D%5Cfrac%7B1%7D%7B6%7Dx)
The remaining cake is equal to
![\frac{1}{2}x-\frac{1}{6}x=\frac{2}{6}x=\frac{1}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B1%7D%7B6%7Dx%3D%5Cfrac%7B2%7D%7B6%7Dx%3D%5Cfrac%7B1%7D%7B3%7Dx)
5) Luigi ate 1/2 of what was left after that
so
![(\frac{1}{2})\frac{1}{3}x=\frac{1}{6}x](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%5Cfrac%7B1%7D%7B3%7Dx%3D%5Cfrac%7B1%7D%7B6%7Dx)
The remaining cake is equal to
![\frac{1}{3}x-\frac{1}{6}x=\frac{1}{6}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B6%7Dx%3D%5Cfrac%7B1%7D%7B6%7Dx)
therefore
1/6 of the original cake was left
Answer:
y-y1 = m (x-x1)
where
m is the slope
and (x1,y1) is one of the points given.
You have been given 2 points (-12,8) and (9,1). You can call one of them (x1,y1) and the other (x2,y2). It doesn't matter which one is which.
But before we go further, we need to determine the slope.
We can do this from the points as well.
y2-y1
m = ---------
x2-x1
Let's say
(x1,y1) = (-12,8)
(x2,y2) = (9,1)
This gives us a slope of
y2-y1 1-8 -7 -1
m = --------- = ---------- = ---- = ---
x2-x1 9-(-12) 21 3
Now that we have everything we need
y-8 = (-1/3)[x-(-12)]
Distribute the -1/3
y-8 = (-1/3)x -4
If we add 8 to both sides we have the equation in the slope intercept form (y=mx+b)
y = (-1/3)x + 4