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2 years ago

A man paid $296 for 8 books. How much did he pay for each book?

Mathematics

1 answer:

Dahasolnce [82]2 years ago

4 0

Divide total pain by number of books.

296/8 = 37

He paid $37 per book

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2 years ago

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Is 2/3 an improper fraction or a mixed number

Drupady [299]

It's neither.
If it were to be an improper fraction, it would be something like 3/2 instead of 2/3.
If it were to be a mixed number, it would look like 1 1/3.

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3 years ago

Read 2 more answers

HEEELP

Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$

Using $(i)$ and $(ii)$ it can be concluded that the domain of $f\left(g(x)\right)$ is all real numbers except 0.

Therefore, its domain is given by

$x\in [-5,4)\cup (4,\infty)$

Option (c) is correct.

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2 years ago