Answer:
There are no vertical asympotes for this rational function.
Step-by-step explanation:
For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:
, 
There is a vertical asymptote for this case:


Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.
Answer:
8
Step-by-step explanation:
Recall these two equations for circumference and diameter.
Circumference = 2*pi*radius
Diameter = radius*2
25.12 = 2*pi*radius
Radius = 4
Diameter = 4*2 => 8
Thus the diameter is 8
Y= -2x^3 is the answer
Hope this helps!
Given:
second term = 18
fifth term = 144
The nth term of a geometric sequence is:

Hence, we have:

Divide the expression for the fifth term by the expression for the second term:

Substituting the value of r into any of the expression:

Hence, the explicit rule for the sequence is: