Plz someone help me

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

Let me break this down a little bit:

Joe has a savings account with $422 in it.

He also has a credit card, meaning that whatever he spends on his credit card, he'll have to pay back later.

So far, he has purchased $524 worth of merchandise.

If you subtract $422 from $524 it will equal =$122 he owes.

Therefore, Joes overall balance is reflected as a POSITIVE number.

The $122 dollars is represented as what he owes which would be a NEGATIVE number.

The ultimate answer to this question is POSITIVE.

Hope this helps! :)

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$\dfrac{ \dfrac{x+3}{4x^2-16} }{ \dfrac{2x^2+10x+12}{2x-4} }$

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Write the divide fraction horizontally:
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$= \dfrac{x+3}{4x^2-16} \div \dfrac{2x^2+10x+12}{2x-4}$

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Factorise the numerators and denominators when possible:
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$= \dfrac{x+3}{4(x+2)(x-2)} \div \dfrac{ 2(x + 3) (x + 2)}{2(x-2)}$

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Convert the divide fraction to multiplication fraction
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$= \dfrac{x+3}{4(x+2)(x-2)} \times \dfrac{2(x-2)}{2(x+3)(x+2)}$

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Cancel the factors
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$= \dfrac{1}{4(x+2)} \times \dfrac{1}{(x+2)}$

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Combine to single fraction
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