Solve for x in x + 2y = 2
x = 2 - 2y
Substitute x = 2 - 2y into 6x + 12y = 3
12 = 3
12 = 3 is not true, thus it is an inconsistent system
<u>No solution </u>
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:
Answer:
y=13
Step-by-step explanation:
-y+13=0
y=13
<h2>
Unit Rate</h2>
The unit rate is the rate for one of something (<em>Taken from HMHCO</em>).
For instance, you could say that Bob can make 6 gift cards in 3 hours. The unit rate would be 2 gift cards per hour. We solved for this by dividing both values by 3.
<h2>Solving the Question</h2>
<em>3 dollars per toy</em>
This is a unit rate. Why? Because it gives us the rate, 3 dollars, and it is for one of something, which this case would be toys.
<em>1 toy per 5 dollars</em>
This is not a unit rate. Why? We still get the rate, 1 toy, but this time it isn't for one of something, which in this case is dollars. It is a rate for 5 dollars, not 1 dollar.
<h2>Answer</h2>
<em>1 toy per 5 dollars</em>