Option B :
is the horizontal asymptote.
Explanation:
The function is 
The horizontal asymptote can be determined by

Thus, from the function, the leading coefficient of numerator is -4
The leading coefficient of denominator is 8
Thus, substituting the values in the formula
, we get,

Dividing, we get,

Thus, the horizontal asymptote is 
Hence, Option B is the correct answer.
9514 1404 393
Answer:
x^3 -14x^2 -6
Step-by-step explanation:
Your expression is the difference of two polynomials. The parentheses can be removed by using the distributive property. The minus sign outside the second set of parentheses applies to each term inside parentheses.
-5x^2 +3 +x^3 -9x^2 -9
Now, you can group like terms. In "standard form", the degrees of the terms decrease from left to right.
x^3 +(-5x^2 -9x^2) +(3 -9)
And combine like terms.
x^3 -14x^2 -6 . . . . . simplified form of the given expression
48x :
6x·3+9x·2+12x
6·3x+9·2x+12x
18x+18x+12x
48x
A single one of them is called a "vertex". It's a point where edges meet.
A triangle has 3 of them.
A square has 4 of them.
A cube or a brick has 8 of them.
Can you look around and find the 8 vertices of your bedroom ?