16,500+ 1020x
The function Y=
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models y, the average annual cost in dollars of owning a car for x years. Which statement
16,500+ 1020x
best explains why the graph of y=
should have a vertical asymptote at x = 0?
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O The value of the car decreases over time.
The value of the car will never dip below $0.
The time the car is owned is greater than 0.
O The initial cost of the car is greater than $0.

C. The time the car is owned is greater than 0

Function:

Where x denotes years

y denotes annual cost

We are given that the graph of the given equation should have vertical asymptote at x =0

Refer the attached graph .

Since with increase in the time the cost (y) decreases

So, the time must be greater than 0 So, that the change in the cost appears .

So, the graph of the given equation should have vertical asymptote at x =0 because The time the car is owned is greater than 0.

Hence Option C is correct : The time the car is owned is greater than 0.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.