Answer:
Up up up up up up up up up up
Hey there!
Let's set up our expression:
(7a-6b+7)-(8a-2)
In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:
7a-6b+7-8a+2
Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:
(7a-8a) - 6b + (7+2) =
-a - 6b + 9
Hope this helps!
The cost of renting the car every day is going to be y=18n+120 so if you plug 8 into n you get 264
Answer:
![y=-\frac{2}{3}x-3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B2%7D%7B3%7Dx-3)
Step-by-step explanation:
To write the equation of a line we need 2 points. We know:
- If the y-intercept of the line is -3 then the point is (0,-3).
- If the x-intercept of the line is -4.5 then the point is (-4.5,0).
Using these two point, we will find the slope and then substitute it into the point slope form
with a point.
Slope: ![m=\frac{0--3}{-4.5-0}=\frac{0+3}{-4.5}=\frac{3}{-4.5}=-0.6667](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0--3%7D%7B-4.5-0%7D%3D%5Cfrac%7B0%2B3%7D%7B-4.5%7D%3D%5Cfrac%7B3%7D%7B-4.5%7D%3D-0.6667)
This decimal is -2/3. We will now substitute -2/3 and (0,-3) into the point slope form.
![y--3=-\frac{2}{3}(x-0)\\y+3=-\frac{2}{3}(x)\\y+3=-\frac{2}{3}x\\y=-\frac{2}{3}x-3](https://tex.z-dn.net/?f=y--3%3D-%5Cfrac%7B2%7D%7B3%7D%28x-0%29%5C%5Cy%2B3%3D-%5Cfrac%7B2%7D%7B3%7D%28x%29%5C%5Cy%2B3%3D-%5Cfrac%7B2%7D%7B3%7Dx%5C%5Cy%3D-%5Cfrac%7B2%7D%7B3%7Dx-3)