2 years ago

4. Let set A=The states that begin with the letter A.

Mathematics

1 answer:

ASHA 777 [7]2 years ago

8 0

Answer:

Arizona, Alaska, Arkansas, and Alabama

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solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Tju [1.3M]

Answer:

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(-274)*(437)

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2 years ago

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If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cub

dangina [55]

Area of the box:
A = 2 a² + 4 a h = 600 cm²
h = a ( the box is a cube )
A = 6 a² = 600 cm²
a² = 100
a = 10 cm
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2 years ago

What kind of transformation converts the graph of f(x) = 5x - 2 into the graph of g(x) = x -2

malfutka [58]

Answer:

Vertical compression

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

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2 years ago