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SVEN [57.7K]
4 years ago
8

What is the solution to this equation?

Mathematics
2 answers:
Flauer [41]4 years ago
8 0
X=8

here is why
-8+16=8
8 is your answer
How to check
8-16=-8
sesenic [268]4 years ago
6 0

Answer:

x=8

Step-by-step explanation:

x-16=-8

+16. +16

x=-8+16

x=8

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2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One
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y'=(t+y)^2-1

Substitute u=t+y, so that u'=y', and

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which is separable as

\dfrac{u'}{u^2-1}=1

Integrate both sides with respect to t. For the integral on the left, first split into partial fractions:

\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1

\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt

\dfrac12(\ln|u-1|-\ln|u+1|)=t+C

Solve for u:

\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C

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1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}

\dfrac2{u+1}=1-Ce^{2t}

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Replace u and solve for y:

t+y=\dfrac2{1-Ce^{2t}}-1

y=\dfrac2{1-Ce^{2t}}-1-t

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so that the particular solution is

y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}

3 0
3 years ago
Mr. Gardner is making 6 treat bags. He has 185 chocolate-covered raisins to share evenly among the treat bags.
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Answer: 9

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4 years ago
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In a game of checkers, there are 12 red game pieces and 12 black pieces. What is the probability that the first two checkers he
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2/24 

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