Answer:
Step-by-step explanation:
Answer:
2 lockers have both
Step-by-step explanation:
Here, if we have stickers being placed on the 5th and 7th stickers, how many lockers have both stickers
What this question is simply asking us is to find the places where we have both stickers occurring
We can get this in places where there are multiples of both
We have this at 35th locker , 70th locker
False I think it doesn't add up to 18
Answer:
The graph in the attached figure
Step-by-step explanation:
Graph the solution of the inequality
![t\leq -4](https://tex.z-dn.net/?f=t%5Cleq%20-4)
we know that
The solution is the interval ---> (-∞,-4]
All real numbers less than or equal to -4
In a number line the solution is the shaded area at left of t=-4 (closed circle, because the number -4 is included in the solution))
using a graphing tool
The graph in the attached figure
Solve, for the first variable in one of the equation, the substitute the final result into the other equation
-
![\frac{17}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B3%7D%20)
; -
Answer:
![y=\frac{1}{3}+\frac{13}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B13%7D%7B3%7D)
Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the 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)
Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:
![m=\frac{4-6}{-1-5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-6%7D%7B-1-5%7D)
Subtract:
![m=-2/-6](https://tex.z-dn.net/?f=m%3D-2%2F-6)
Reduce:
![m=1/3](https://tex.z-dn.net/?f=m%3D1%2F3)
So, our slope is 1/3.
Now, we can use the point-slope form, which is:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:
![y-6=\frac{1}{3}(x-5)](https://tex.z-dn.net/?f=y-6%3D%5Cfrac%7B1%7D%7B3%7D%28x-5%29)
Distribute:
![y-6=\frac{1}{3}x-\frac{5}{3}](https://tex.z-dn.net/?f=y-6%3D%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B5%7D%7B3%7D)
Add 6 to both sides:
![y=\frac{1}{3}x-\frac{5}{3}+\frac{18}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B5%7D%7B3%7D%2B%5Cfrac%7B18%7D%7B3%7D)
Add:
![y=\frac{1}{3}+\frac{13}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B13%7D%7B3%7D)
And we're done!