4 years ago

Can you explain what is missing?

Mathematics

1 answer:

Sloan [31]4 years ago

5 0

Answer:

The rate

Step-by-step explanation:

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9. Water is added to two containers for 20 minutes. The equations below model the ounces of

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Step-by-step explanation:

At the time when the containers hold the same amount of water the value of y in the equations is the same, so

$\large 62x+48=-2x^2+80x+120$

Solve the quadratic equation:

$\large 62x+48=-2x^2+80x+120\Rightarrow 2x^2-80x-120+62x+48=0\\\\2x^2-18x-72=0\Rightarrow x=\frac{-(-18)\pm\sqrt{(-18)^2-4(2)(-72)}}{2*2}=\\\\=\frac{18\pm\sqrt{324+576}}{4}=\frac{18\pm\sqrt{900}}{4}=\frac{18\pm 30}{4}$

Take only the positive solution since x is positive (minutes)

$\large x=\frac{18+30}{4}=\frac{48}{4}=12$

Now, compute the amount of water y by replacing x = 12 in any of the two equations, for example in container A which is easier to calculate

y = 62(12) + 48 = 792

The correct answer is then 792 ounces

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4 years ago

Can you explain what is missing? ​

Can you explain what is missing?