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Using it's concept, it is found that the domain for the expressions is, respectively, given by:
It is the <u>set that contains all possible input values</u>.
In a fraction, the denominator cannot be zero, hence:
- The domain of the first two expressions is of
.
- The domain of the last expression is of
.
The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by .
More can be learned about the domain of a function at brainly.com/question/25897115
Answer:
Step-by-step explanation:
Let
x = cost for one adult
y = cost for one child
z = cost for one senior.
<u>The Reid family:</u>
take 2 adults and 2 children and paid that is
, so
<u>The Mghee family:</u>
take 1 senior, 2 adults and 1 child and paid that is
, so
<u>The Griffiths family:</u>
take 1 senior and 3 adults and paid that is
, so
You get the system of three equations:
From the first equation:
From the third equation:
Substitute them into the second equation:
Then
Hence,
the cost for one adult is
the cost for one child is
the cost for one senior is
<u>The Linton family</u> takes 1 senior, 2 adults and 3 children and paid