Answer:
Inverse function is .
Step-by-step explanation:
Given function is .
Now we need to find the inverse of the given function.
Step 1: replace f(x) with y
Step 2: switch x and y
Step 3: solve for y
Hence required inverse function is .
The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents
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the area of the piece of land that is not part of the garden is .
<u>Step-by-step explanation:</u>
Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter. We need to find what is the area of the piece of land that is not part of the garden . Let's find out:
Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !
Area of Land:
Area of land is given by
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Area of Garden:
Area of circular garden given by
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Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is .