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1 answer:
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Given:
The function is:
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
Step 1: Substitute .
Step 2: Interchange x and y.
Step 3: Isolate variable y.
Step 4: Substitute .
Hence, the inverse of the given function is and the graphs of these functions are shown below.
Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by . We are given the perimeter of the pool along with the width.
From here, all we have to do is plug back into the original formula:
Which can be further simplified as:
From here, all we have to do is add 70 to both sides of the equation and divide by four:
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.