Answer:
Alicia ran 12 miles.
Step-by-step explanation:
They said that Nara ran 14 miles and she had ran 2 more than Alicia, so that would be 14 - 2 which is 12.
F(x) is showing the exponential function 2^(7-x)
i) The given function is

The domain is



ii) For vertical asymptotes, we simplify the function to get;

The vertical asymptote occurs at


iii) The roots are the x-intercepts of the reduced fraction.
Equate the numerator of the reduced fraction to zero.



iv) To find the y-intercept, we substitute
into the reduced fraction.



v) The horizontal asymptote is given by;

The horizontal asymptote is
.
vi) The function has a hole at
.
Thus at
.
This is the factor common to both the numerator and the denominator.
vii) The function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
Answer:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
Step-by-step explanation:
The percent change in a number is determined by dividing the difference between the new number and original number by the original number and multiplying the result by 100.
Suppose the original ratio of two numbers is:
.
And the new ratio is: 
The percent change is:

Thus, the complete statement is:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
Quotient is the result of division. Assign a variable to the unknown number. Let's make it x. Write the statement as an equation.
x/5 - 10 = 3
solve for x
x/5 - 10 = 3
x/5 = 3 + 10
x/5 = 13
x = 5 × 13
x = 65