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3 years ago

How do you solve this math problem

Mathematics

1 answer:

dezoksy [38]3 years ago

3 0

First, you would turn 2 1/9 into an improper fraction. 2 1/9 is now turned into 19/9. Now, you need to find a common denominator between 19/9 and 5/6. The least common denominator, which is the smallest number that both denominators can multiply to, is 18. 19/9 is turned into 38/18 (which is still 19/9 when simplified). 5/6 is turned into 15/18. Now, since both 38/18 and 15/18 have a common denominator, we can write the fraction like (38-15)/18. 38-15 is 23, so your answer is 23/18. When simplified, 23/18 becomes 1 5/18.

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Answer:

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Step-by-step explanation:

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3 years ago

Definition of rational number

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3 years ago

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Answer:

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3 years ago

Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

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$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

4 years ago

Solve the equations. Make conclusion. 3|x+12|=6<br><br> *Please put down the steps also.*

Blababa [14]

3 | x+12 |=6
Start by distributing 3 to both x and 12
You get 3x+36=6
Subtract 36 from both sides
You then get 3x=-30
Divide 3 from both sides getting
x= -10

3 0

3 years ago