![\bf \cfrac{(x-2)(x+3)}{2x+2}\implies \cfrac{x^2+x-6}{2x+2}~~ \begin{array}{llll} \leftarrow \textit{2nd degree polynomial}\\ \leftarrow \textit{1st degree polynomial} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{vertical asymptote}}{2x+2=0}\implies 2x=-2\implies x=-\cfrac{2}{2}\implies x=-1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%28x-2%29%28x%2B3%29%7D%7B2x%2B2%7D%5Cimplies%20%5Ccfrac%7Bx%5E2%2Bx-6%7D%7B2x%2B2%7D~~%20%5Cbegin%7Barray%7D%7Bllll%7D%20%5Cleftarrow%20%5Ctextit%7B2nd%20degree%20polynomial%7D%5C%5C%20%5Cleftarrow%20%5Ctextit%7B1st%20degree%20polynomial%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bvertical%20asymptote%7D%7D%7B2x%2B2%3D0%7D%5Cimplies%202x%3D-2%5Cimplies%20x%3D-%5Ccfrac%7B2%7D%7B2%7D%5Cimplies%20x%3D-1)
when the degree of the numerator is greater than the denominator's, then it has no horizontal asymptotes.
quick note:
when the degree of the numerator is 1 higher than the degree of the denominator, then it has an slant-asymptote, so this one has a slant-asymptote.
Answer:
f = 8
Step-by-step explanation:
- Apply the distributed property, so it now looks like this: 2f - 10 = 6
- Add 10 to each side, so it now looks like this: 2f = 16
- Divide each side by 2 to cancel out the 2 next to f. It should now look like this: f = 8
I hope this helps!
Answer:
<u>16 cm²</u>
Step-by-step explanation:
A cube has 12 edges.
Therefore, length of each edge
= 48/12
= 4 cm
Area of face = edge x edge
= 4 x 4
= <u>16 cm²</u>
(1,-1),(1,5),(5,-1),(5,5) and then (2,4) is inside the rectangle
this is the first step, now here is what you want,
B= (1,5)
A=(1,-1)
1. In this problem, the variable x represents how many pounds of hamburger meat you're buying. So, to solve the expression, just replace x with how much you're buying, in this case, 7.
2.50x Plug in 7 pounds for x
2.50(7) Multiply
17.50
You will pay $17.50 for 7 pounds of hamburger meat.
2. 8 times (8 x) the product (multiplication) of g and h.
The product of g and h means you multiply them, so it will be gh. Then, you'll multiply that by 8 and get 8gh. So, the correct answer is choice B.
