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olga2289 [7]
3 years ago
9

Charges $5 entree fee and $2 per hour

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

5 + 2h = total money spent


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2((x+2)(x+2)}-4=28
2{x^2 + 4x + 4}-4=28
2x^2 +4x=28
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How do I solve this problem
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Selmas class making a care package to give to victims of a natural disaster.Selma packs one box in 5 minutes and has already pac
bixtya [17]

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

<u><em>Explanation</em></u>

Suppose, they need to work for x minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that x minutes =\frac{x}{5} and the number of boxes packed by Trudy in x minutes =\frac{x}{7}

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Now if <u>each of them packed the same number of boxes</u>, then the equation will be......

12+\frac{x}{5}=18+\frac{x}{7}\\ \\ \frac{x}{5}-\frac{x}{7}= 18-12\\ \\ \frac{7x-5x}{35}=6\\ \\ \frac{2x}{35}=6\\ \\ 2x= 210\\ \\ x= \frac{210}{2}=105

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.

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Now solve for y

x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y

Finally, replace y with the inverse of f(x), f^{-1}(x)

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