Cassie can drive 165 miles in 3 hour's. if she is driving at a constant speed, how many miles per hour is she driving
2 answers:
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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
Step-by-step explanation:
The sequence is as follows :
-59 ,-67 ,-65 ,-53 ,-31 ,...
The first term = -59
The second term = -67
Common difference = second term - first term
To calculate the second term add (-8).
To calculate each additional term, increase the amount added by -8.