Nico completes 1/8of his math problems in 2/5 of an hour. At this rate how many of his math problems will he finish in one hour?
1 answer:
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Answer:
(a)
(b) Domain: <em>(See attachment for graph)</em>
(c)
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When
When
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<em>See attachment for graph</em>
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Solving (c): Write l as a function
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
The fraction is
Step-by-step explanation:
Let,
The denominator of fraction = x
Numerator of fraction = x-3
Fraction =
According to given statement;
1 is added to the numerator, the value of the fraction becomes 3/4.
Using cross multiplication
Fraction =
Keywords: fraction, division
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