2 years ago

Which table represents a linear function?

Mathematics

1 answer:

Nutka1998 [239]2 years ago

7 0

Answer:

The third option

Step-by-step explanation:

The slope is a constant linear slope of 8

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Given the universal set U

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Answer:

Step-by-step explanation:

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3 years ago

What is the circumference of a circle whose diameter is 20?

Sergeeva-Olga [200]

Answer:

C≈62.83

Step-by-step explanation:

Use the formula C=πd

Plug in 20 for d and simplify

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So, you round it to 62.83

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2 years ago

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Step-by-step explanation:

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2 years ago

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Answer:

3.5

Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the inverse of the following function. Then prove they are inverses of one another.

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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2 years ago