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?”
Answer:
50%
Step-by-step explanation:
6 numbers on a die, 3 of them are odd.
3/6=1/2=50%
Answer:
(four being the slope)
Step-by-step explanation:
So lets use
ΔY/ΔX
or the y2-y1 over x2-x1
Therefore, the slope is 4
Answer:
Free points?!?
Step-by-step explanation:
Answer:
The correct answer is "$5000".
Step-by-step explanation:
The given values are:
Two investments totaling,
= $47,500
Annual income,
= $3000
One investment yields per year,
= 9%
Other yield,
= 6%
Let,
- The amount invested in 9% will be "x".
- The amount invested in 6% will be "
".
Now,
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