The equation of the vertical asymptote for the graph of y = 1/x - 2 is x = 2.
A vertical asymptote occurs when the denominator of a rational function (a function that can be written as the ratio of two polynomials) equals zero, but the numerator does not.
The equation is given in the question, as follows:
y = 1/x−2
We have to determine the vertical asymptote for the graph
In this case, the denominator is x, and when x = 2, the denominator equals zero.
However, since the numerator does not equal zero at x = 2, the graph will approach, but never touch the x-axis at that point, which creates a vertical asymptote.
Thus, the equation of the vertical asymptote for the graph of y = 1/x - 2 is x = 2.
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Alonzo drove the truck at the distance of 189 miles.
Let's assume the number of miles Alonzo drove is represented by "m." Therefore, the total cost of renting the truck can be expressed as:
Total cost = Base fee + (Additional charge per mile * Number of miles driven)
$184.20 = $15.99 + ($0.89 * m)
Now, we need to solve for "m," the number of miles Alonzo drove. We'll start by subtracting the base fee from both sides of the equation:
$184.20 - $15.99 = $0.89 * m
$168.21 = $0.89 * m
To find the value of "m," we'll divide both sides by $0.89:
m = $168.21 / $0.89
m = 189 miles
So, Alonzo drove the truck for 189 miles.
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