What is the domain of the set

Mathematics

1 answer:

a_sh-v [17]3 years ago

5 0

The domain of the set will be ( -3 , 27 )

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Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i

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Answer: There are 75 books.

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Step-by-step explanation:

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$\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]$