The given function is

i) We factor the numerator to obtain;

The vertical asymptote is where the denominator is zero.
V.A: 
ii) The roots are the zeros of the numerator;
Roots:



iii) At y-intercept
.
Put
into the function and solve.



Y-int: 
iv) Horizontal asymptote.
This is an improper rational function.
It has no horizontal asymptote.
v) Holes:
The given rational function has no common factors in both the numerator and the denominator.
Therefore the function has no holes.
6) For oblique Assymptote, we divide using lond division or synthetic division;
1 -1 -2
5| <u> 5 20</u>
1 4 18
The quotient is 
The oblique asymptote is

Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:

Take RHS
8+ 27
We can write 8 as
and 27 as
.
then;
8+27 = 
Now, use the sum of cubes identity;
here a =2 and b = 3

or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
Answer: It is a continuous random variable.
The amount of rain is a continuous random variable because it can take on all of the numbers on a number line.
For example, the actual amount of rain in April could be 1 inch. Or 1.4 inches. Or 1.45 inches. Or 1.452020980234 inches. There are an infinite possibilities for the amount of rainfall.
Answer:
Dilation
Step-by-step explanation:
Given: The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.
To choose: the correct option
Dilation refers to a transformation when a figure is reduced or enlarged.
Each side of the large triangle is halved to get the small triangle.
So, Dilation transformation maps the large triangle onto the small triangle