3 years ago

Y=3/5 +2 plot the slope of the line

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

6 0

The slope is equal to ³/₅.

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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

Which of these statements us true for f(x)=3•(9)^x

rodikova [14]

Answer:

Step-by-step explanation:

The y-intercept is at x=0, y=3.

5 0

3 years ago

What value of x is in the solution set of 8x-6>12+2x

Kobotan [32]

Answer:

x>3

Step-by-step explanation:

8x - 2x > 12+ 6

-> 6x > 18

-> x > 3

3 0

3 years ago

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REALLY NEED HELP <br> What is the slope of the given line??

Montano1993 [528]

Answer:

Step-by-step explanation:

slope is rise over run

6/2 simplifyed is 3/1 or just 3

6 0

3 years ago

Simplify <br> (3x6^2) -2+6/4<br><br> Please use steps

Gala2k [10]

Answer: 107.5

Steps:

(3 * 6^2) -2 + 6/4

(3*36) -2 + 3/2

108 - 2 + 3/2

106 + 3/2

(212 + 3)/2

215/2

107.5

Brainliest pls if I am correct!

7 0

3 years ago

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