A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.
In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.
Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.
So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”
X= 1,-3 If you factor equation you get x-1=0 and x+3=0
I can tell you how to solve this problem.
You can find the areas using both the values as the radiuses (find the are of a circle).
Subtract the smaller area from the larger area and there is your answer.
Hope this helped.
Good Luck!
Answer:
x=2,y=0
(You did not provide enough information for me to know what to do with said equations, so I'm assuming it was System of Equations.)
Answer: The total cost of the bike is $974.53
How to solve: To solve this you’d take the net price which is $887.95 and add it with the sells tax which is 9.75%.
