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Lemur [1.5K]
2 years ago
11

-7x-8=x-8(1-5x) Help me please

Mathematics
1 answer:
Darina [25.2K]2 years ago
3 0

Answer:

The answer is x = 0

Step-by-step explanation:

-7x - 8 = x - 8(1-5x)

Simplify and FOIL.

-7x - 8 = x - 8 + 40x

-7x - 8 = 41x - 8

Add 7x to both sides.

-8 = 48x - 8

Add 8 to both sides.

0 = 48x

x can only be 0 to multiply it by any other number and get 0.

x = 0

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A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent
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Answer:

The answer is below

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Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

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b)

\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\  \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg

8 mg/ 6 L = 4/3 mg/L

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2 years ago
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