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sammy [17]
3 years ago
12

8. The sum of four consecutive integers is -22. What are the four integers?

Mathematics
1 answer:
Darya [45]3 years ago
7 0
-5.5 because 4 times -5.5 equals negative 22
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The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in
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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\\
y-5=\pm \sqrt{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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Express the rate 50 yards per minute in feet per second. Please answer with supporting work.
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A because of its larger range

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You wrap a wire around a piece of iron. If you slowly increase the strength of an electric current flowing through the wire, you
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exis [7]

Answer:

3.56m

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Area of the rectangular garden = 16.02m^2

Length of the rectangular garden = 4.5m

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Area (square meters) = length (meters) × width (meters)

Therefore, 16.02m^2 = 4.5m × width

Width = 16.02m^2 / 4.5m

Width = 3.56m

Therefore the width in meters of the garden is 3.56m

See the attachment below for an illustrative diagram

A = area

l = length

w = width

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