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DiKsa [7]
3 years ago
14

Ribbon ones are made from strips of ribbon tied to sticks Connie has 84 feet of red ribbon 48 feet of blue ribbon and 72 feet of

white ribbon she wants to cut the ribbon into equal links that are as long as possible so that no ribbon is wasted
Mathematics
1 answer:
WARRIOR [948]3 years ago
4 0
Red: 7 12-foot pieces
blue: 4 12-foot pieces
white: 6 12-foot pieces
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We have been given a quadratic function f(x)=(x-5)^{2} +2 and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is [2,\infty).

If we restrict the domain of this function to either (-\infty,5] or [5,\infty), it will become one to one function.

Let us know find its inverse.

y=(x-5)^{2}+2

Upon interchanging x and y, we get:

x=(y-5)^{2}+2

Let us now solve this function for y.

(y-5)^{2}=x-2\\
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Hence, the inverse function would be f^{-1}(x)=5+\sqrt{x-2} if we restrict the domain of original function to [5,\infty) and the inverse function would be f^{-1}(x)=5-\sqrt{x-2} if we restrict the domain to (-\infty,5].

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