Solve system of equations
2 answers:
You might be interested in
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
--------------------------------------------------------------------------------------------------
To check this
When
When
--------------------------------------------------------------------------------------------------
<em>See attachment for graph</em>
<em></em>
Solving (c): Write l as a function
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
