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guapka [62]
3 years ago
5

Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9

x dx=0 CC, a constant of integration
Mathematics
1 answer:
densk [106]3 years ago
6 0

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy  = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

y= CC-4.5x^2

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V125BC [204]

Answer:

Step-by-step explanation:

Equation

3x + 9 + 2x = x - 2x - 3              

Solution

Combine all the like terms.

3x+2x+9 =  x - 2x - 3

5x + 9 = -x - 3                            Add x to both sides of the equation

5x+x +9 = -x+x -3                      Combine

6x + 9 = - 3                                Subtract 9 from both sides of the equation

6x+9-9 = - 3-9                           Combine

6x = -12                                      Divide both sides by 6

6x/6 = -12/6

x = - 2

Answer x = - 2

3 0
2 years ago
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It’s 11:50 am showtimeonclock
Mars2501 [29]

Answer: LOL

Step-by-step explanation:

4 0
3 years ago
HELP QUICKLY PLEASE!!!!!!!
Mumz [18]
SAS because you have 2 known side lengths and one angle!
8 0
3 years ago
Find the inverse of the following function:
tigry1 [53]
First, we are going to find the inverse function of f(x) by replacing f(x) with y, and then, interchanging x and y and solving for x:
y=-2 \sqrt{3x-1} -5
x=-2 \sqrt{3y-1} -5
-2 \sqrt{3y-1} =x+5
\sqrt{3y-1} = \frac{x+5}{-2}
3y-1=( \frac{x+5}{-2} )^{2}
3y=( \frac{x+5}{-2} )^{2} +1
y= \frac{( \frac{x+5}{-2})^{2}+1  }{3}

Next we are going to evaluate our inverse function at x= \frac{1}{3}:
y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1  }{3}
y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1  }{3}
y= \frac{(- \frac{8}{3})^{2}+1  }{3}
y= \frac{ \frac{64}{9}+1 }{3}
y= \frac{ \frac{73}{9} }{3}
y= \frac{73}{27}

We can conclude that the inverse function of f(x)=-2 \sqrt{3x-1} -5 when x= \frac{1}{3} is \frac{73}{27}

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3 years ago
Write the ratio as a fraction, a decimal, and a percent.<br> 51:75
irina [24]
51:75

This is the same as 51/75.

Simplify by dividing 3 to the numerator and denominator:

17/25

Divide this to get a decimal:

17 / 25 = 0.68

Now multiply by 100 to get a percent:

0.68 * 100 = 68%
6 0
3 years ago
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