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Rufina [12.5K]
2 years ago
6

Tori is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose.

There is a proportional relationship between the time Tori has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y.
Mathematics
1 answer:
Fittoniya [83]2 years ago
7 0

Answer:

y/x

Step-by-step explanation:

Answer: y/x

water/time = unit rate = y/x

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nata0808 [166]

So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:

12x^3+2x^2-30x+5 =0 \implies \\ 2x^2(6x+1)-5(6x+1)=0 \implies \\ (2x^2-5)(6x+1) = 0

Now that we've factored our equation, we can use ZPP and break it up:

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x\in \{\frac{\sqrt{10}}{2},-\frac{\sqrt{10}}{2},-\frac{1}{6}\}

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