20 points
2 answers:
Answer: 
which is choice C
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Explanation:
x = total number of minutes spent using the vacuum
If x is larger than 15, then x-15 represents the amount of time spent past the first 15 minutes. The machine will charge 15 cents per minute at this point. The machine will charge 0.15 dollars for (x-15) minutes. So 0.15*(x-15) dollars is charged on top of the $2 already spent for those first 15 minutes.
In total, the cost for Caroline is
T = 2+0.15(x-15)
This total must not be larger than $7. The total T can be equal to 7 or smaller than 7
So,
============================================================
Explanation:
x = total number of minutes spent using the vacuum
If x is larger than 15, then x-15 represents the amount of time spent past the first 15 minutes. The machine will charge 15 cents per minute at this point. The machine will charge 0.15 dollars for (x-15) minutes. So 0.15*(x-15) dollars is charged on top of the $2 already spent for those first 15 minutes.
In total, the cost for Caroline is
T = 2+0.15(x-15)
This total must not be larger than $7. The total T can be equal to 7 or smaller than 7
So,
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Answer: Third option.
Step-by-step explanation:
By definition, Rational Functions have the following form:
Where and
are polynomials.
The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.
In this case, you have the following Rational Function:
The Restrictions of the Domain can be found applying this steps:
- Make the denominator equal to 0:
- Solve for "x":
Then, the Domain of this function includes all "x" not equal to 2.
Therefore, the answer is: