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Nat2105 [25]
3 years ago
6

I WILL MARK BRAINLIEST!!​

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

Answer:

Option 3

Step-by-step explanation:

3/2 times x - 3 = y can also be:

y=3/2 times x-3

-3 is the y-intercept. This is one of the points, (0,-3).

Now, you need to solve for x. Say y equals 0.

3/2 times x-3 will equal 0.

3/2 times 2 = 6/2 which equals 3. You can solve the equation now.

3/2 times 2 - 3 = 0

2 is the x-intercept. This is the other point in the line, (2,0).

So the answer is Option 3

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Differential Equations - Reduction of order
iren [92.7K]
With reduction of order, we assume a solution of the form y_2=zy_1=ze^{2x}, with z=z(x). Then

{y_2}'=(z'+2z)e^{2x}
{y_2}''=(z''+4z'+4z)e^{2x}

and substituting into the ODE gives

x(z''+4z'+4z)e^{2x}-(2x+1)(z'+2z)e^{2x}+2ze^{2x}=0
x(z''+4z'+4z)-(2x+1)(z'+2z)+2z=0
xz''+(2x-1)z'=0

Let \xi(x)=z'(x), so that \xi'=z''. This gives the linear ODE

x\xi'+(2x-1)\xi=0

This equation is also separable, so you can write

\dfrac{\xi'}{\xi}=\dfrac{1-2x}x

Integrating both sides with respect to x gives

\ln|\xi|=-2x+\ln x+C_1
\xi=C_1xe^{-2x}

Next, solve z'=\xi for z by integrating both sides again with respect to x.

z'=\xi
\implies z=\displaystyle\int C_1xe^{-2x}\,\mathrm dx
\implies z=C_1e^{-2x}(2x+1)+C_2

And finally, solve for y_2.

y_2=zy_1=C_1(2x+1)+C_2e^{2x}

and note that y_1 is already taken into account as part of y_2, so this is the general solution to the ODE.
6 0
3 years ago
I will give you a Brainly crown if it is right. Will you help me
Reil [10]

Answer:

65 Degree

Step-by-step explanation:

Right angle = 90 Degrees

90 - 25 = 65

7 0
3 years ago
I screenshotted my question.
andrey2020 [161]

Answer:

Step-by-step explanation:

Hello,

4-4x\leq 24\\\\\text{We can divide by 4.}\\\\1-x\leq 6\\\\\text{We can add x.}\\\\1\leq x+6\\\\\text{We can subtract 6.}\\\\1-6=-5\leq x \large \boxed{\sf \bf x \in [-5;+\infty[}

Thanks

3 0
3 years ago
Read 2 more answers
For a regular 15-sided polygon, what is the degree of rotation?
Volgvan
Hope this helps! :)
360/15=24 degree's 

4 0
3 years ago
The perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?​
Orlov [11]

Answer:

9 mm wide

Step-by-step explanation:

Perimeter = length x 2 + width x 2

34 mm = 16 mm + ?

34mm = 16 mm + 18 mm

18/2 = 9

9 mm wide

8 0
3 years ago
Read 2 more answers
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