A given rational function may or may not have a vertical asymptote (depending upon whether the denominator ever equals zero), but (at this level of study) it will always have either a horizontal or else a slant asymptote.
Answer:

Step-by-step explanation:
![\frac{x^{3} }{\sqrt[6]{x}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B3%7D%20%7D%7B%5Csqrt%5B6%5D%7Bx%7D%7D)


Answer:
The greatest common factor is 1
Step-by-step explanation:
The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 1.
1/4 * 1/3 * 1/2 * 1/1 = 1/24 chance that all 4 letters are placed in the correct envelopes.
With the first envelope, there are 4 choices of letters, so the probability of picking the correct letter is 1/4.
With the second envelope, there are 3 remaining letters, so the probability of picking the correct letter is 1/3.
The same logic follows the the third and final letter.
Answer:
The answer is we. Pronouns are I, you, he/she/it, we, you, they.