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3 years ago

12

On your first day in business, 126 people come to eat. They spend about $52 each. About how much money did you earn on your firs

t day?

1 answer:

melamori03 [73]3 years ago

8 0

Answer:

You erned about $6,552

Step-by-step explanation:

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The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

zhannawk [14.2K]

Answer:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

$v = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4}$

We can rewrite this to reveal a perfect square pattern.

$v =( { {a}^{2}) }^{2} - 2 {a}^{2} {b}^{2} + ( {b}^{2})^{2}$

We factor using perfect squares to obtain:

$v = ( {a}^{2} - {b}^{2} )^{2}$

$v = ( {a}^{2} - {b}^{2} )( {a}^{2} - {b}^{2} )$

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

$v = ( {a}^{2} - {b}^{2})(a - b)(a + b)$

So pick the following unique dimensions from the possible answers:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

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