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Nitella [24]
3 years ago
5

A swimming pool that was partially drained has 205 gallons remaining in the pool when the owner begins filling the pool. Define

an expression to represent the number of gallons of water in the pool in terms of the number of gallons, n , that have flowed into the pool since the pool owner began to fill the pool
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

9514 1404 393

Answer:

  205 + n

Step-by-step explanation:

If n gallons are added to 205 gallons that the owner started with, then the number of gallons of water in the pool is ...

  205 + n

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Solution:

Given data:

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Re-arrange the terms from greatest degree to smallest degree.

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We can solve it by applying quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

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$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}

$t=\frac{-48\pm \sqrt{2304+18432}}{-32}

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Now, write find two t's using plus and minus operation.

$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}

$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}

t = –3 (or)   t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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