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likoan [24]
3 years ago
9

Simplify the expression below 2(3x+8) I need help ASAP

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

6x + 16

Step-by-step explanation:

To simplify this, distribute each term in the parentheses to the 2.

2 · 3x = 6x

2 · 8 = 16

Putting these two terms together, the final simplified expression is 6x + 16.

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Find the general solution of (x+3)y’=2y
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Answer:

y=C(x+3)^2

Step-by-step explanation:

We are given:

\displaystyle (x+3)y^\prime=2y

Separation of Variables:

\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}

So:

\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx

Integrate:

\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx

Integrate:

\displaystyle \ln|y|=2\ln|x+3|+C

Raise both sides to e:

|y|=e^{2\ln|x+3|+C}

Simplify:

|y|=(e^{\ln|x+3|})^2\cdot e^C

So:

|y|=C|x+3|^2

Simplify:

y=\pm C(x+3)^2=C(x+3)^2

5 0
3 years ago
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BlackZzzverrR [31]

Answer:

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Step-by-step explanation:

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2 years ago
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bezimeni [28]

Answer:

no solution

Step-by-step explanation:

n -8 = 6+n

Subtract n from each side

n-n -8 = 6+n-n

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This is never true so there is no solution

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3 years ago
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