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?”
The logarithm base 10 of the number 10 is 1
<h3>How to solve logarithm ?</h3>
We have to find logarithm base 10 of number 10.
Therefore, using logarithm rule
logₐ a = 1
Hence,
log₁₀ 10 = 1
Therefore, logarithm base 10 of the number 10 is 1
learn more on logarithm here: brainly.com/question/13594713
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Answer:
see the explanation and the attached figure
Step-by-step explanation:
we have
----> given
Divide by -2 both sides
----> by Division Property of Equality
Simplifying

Subtract 1 both sides
----> by Subtraction Property of Equality
Simplifying

LA = perimeter of base x height
Use Pythagorean theorem to find the base
4^2 + 6^2 = 52
Sq root of 52 is 7.2111...
4+6+7.2 = 17.2
17.2 x 8
137.6 is your answer
Answer:
Some of the products do not show the correct powers of x.
Step-by-step explanation:
From the picture,
3x(2x - 1) = 6x² - 3x
The correct display on the tile should look like this :
_____+x ______ +x ______ +x
+x __ +x² ______+x² ______+x²
|
+x__ +x² ______ +x² ______+x²
|
- ___ -x _______ -x _______-x
+6x² - 3x