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svet-max [94.6K]
3 years ago
14

a hardware store has 568 nails in 8 bins. each bin has the same number of nails. how many nails are in each bin? Luke solve this

problem and he said the answer is 4084 which statement is correct​
Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

No

Step-by-step explanation:

Because you have to multiply 568 x 8 to get 4084 but when u multiply it u get 2272

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Answer:

20.2

Step-by-step explanation:

181.1 divided by the amount of days Susie ran.

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2 years ago
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Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

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A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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