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3 years ago

The sum of twice a number and 28 equals 36 plus the number

Mathematics

2 answers:

juin [17]3 years ago

8 0

<span>2X+28=36+X
2X-X=36-28
X=8
thats the answer</span>

ValentinkaMS [17]3 years ago

7 0

2*8+28=36+8

16+28=36+8

44=44

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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago

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Zanzabum

Answer: I think it’s 4

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2 years ago

Mark rode his bike 22/8 miles. which mixed number shows the fraction of miles he rode his bike

Vlad1618 [11]

Answer:

Hey there!

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3 years ago

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Kay [80]

Answer:

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Step-by-step explanation:

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3 years ago

Kenneth earns $450 for working 37 1/2 hours. If Kenneth works for 42 hours next week, how much will he earn. A.255.00. B.12.00.

iren2701 [21]

Answer:

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Step-by-step explanation:

The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.

to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.

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Kenneth earns $12 per hour.

If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week

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3 years ago