Answer:

Step-by-step explanation:
Given


Required
A function that represents the total resale value of the two vehicles
To do this, we simply add up the functions


Factorize


Hello!
Vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.
Horizontal asymptotes are determined by:
1. If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.
2. If the degree of the numerator = degree of denominator, then y = leading coefficient of numerator / leading coefficient of denominator is the horizontal asymptote.
3. If degree of numerator > degree of denominator, then there is an oblique asymptote, but no horizontal asymptote.
To find the vertical asymptote:
2x² - 10 = 0
2(x² - 5) = 0
(x - √5)(x + √5) = 0
x = √5 and x = -√5
Graphing the equation, we realize that x = -√5 is not a vertical asymptote, so therefore, the only vertical asymptote is x = √5.
To find the horizontal asymptote:
If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.
Therefore, the horizontal asymptote of this function is y = 0.
Short answer: Vertical asymptote: x = √5 and horizontal asymptote: y = 0
This can be be solved the following way:
Yvette starts at 100 and subtracts 7 k times, as for Cassandra (or Isandro, the question is not clear on this) she starts at 0 and presses adds 3 k times. This leads to the following equation:


So for k=10 they will both display the same number.
We can now either choose the viewpoint of Cassandra or Yvette:
If we chose Yvette then we'll have

and for Cassandra we have,

.