The vertical asympototes of f(x) are at x = -6 and x = 6
Step-by-step explanation:
To find the vertical asymptote(s) of a rational function,
- Equate the denominator by 0
- Solve it for x
- If x = a, then the vertical asymptote is at x = a
∵ 
- Equate the denominator x² - 36 by 0
∵ x² - 36 = 0
- Add 36 to both sides
∴ x² = 36
- Take √ for both sides
∴ x = ± 6
∴ There are vertical asymptotes at x = -6 and x = 6
The vertical asympototes of f(x) are at x = -6 and x = 6
Learn more:
You can learn more about the asymptotes in brainly.com/question/6459599
#LearnwithBrainly
Answer: There are 45 combinations.
Step-by-step explanation:
If the order in which you watch the episodes does not matter, then we can use the combinatory defined as:
If we have N elements, and we want to make groups of K elements, we have
combinations.
In this case, we have a total of N = 10 episodes, and we want to make groups of K = 2.
Then we have:
There are 45 combinations.
4(x-5)=3(x+5)
Multiply the first bracket by 4
(4)(x)=4x
(4)(-5)=-20
Multiply the second bracket by 3
(3)(x)=3x
(3)(5)=15
4x-20=3x+15
Move 3x to the other side
Sign changes from +3x to -3x
4x-3x-20=3x-3x+15
4x-3x-20=15
x-20=15
Move -20 to the other side
Sign changes from -20 to +20
x-20+20=15+20
x=15+20
Answer: x=35
Answer:
-4
Step-by-step explanation:
<u>→Distribute the -1 to (x - 1):</u>
(x - 5) - (x - 1)
x - 5 - x + 1
<u>→Add like terms (x and -x, -5 and 1):</u>
-4
