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3 years ago

How do you make a mix number out of 81 divided by 10?

Mathematics

1 answer:

MakcuM [25]3 years ago

8 0

81÷10
80÷10=8 and 1/10. As a result, the mix number is 8 1/10. Hope it help!

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3 years ago

Solve y′′=sin(x) if y(0)=0 and y′(0)=5.<br><br> y(x)=?

Ksenya-84 [330]

Answer:

$y(x)=6x-sin(x)$

Step-by-step explanation:

Rewrite the differential equation as:

$\frac{d^{2} y }{dx^{2} } =sin(x)$

Integrate both sides with respect to x:

$\int\ \frac{d^{2} y }{dx^{2} } dx = \int\ sin(x) dx$

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Integrate one more time both sides with respect to x:

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Now that we find the solution, let's find its derivate:

$y'(x)=C_1-cos(x)$

Evaluating the initial conditions:

$y(0)=C_1(0)+C_2-sin(0)=0\\C_2=0$

$y'(0)=C_1-cos(0)=5\\C_1=5+1=6$

Replacing the value of the constants that we found in the differential equation solution:

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3 years ago

What is the result of subtracting the second equation from the first?<br> -2x+y=0<br> -7x+3y=2

Mashutka [201]

Answer:

If you subtract -2x+y=0 and -7x+3y=2 you will get 5x-2y=-2

Step-by-step explanation:

Subtract -2x and -7x which is 5x

Subtract y and 3y which is -2y

Subtract 0 and 2 which is -2

Result: 5x-2y=-2

Hope this helps!

8 0

3 years ago

Read 2 more answers

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Y_Kistochka [10]

Answer:

$x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}$ or $x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}$

Step-by-step explanation:

$5x^2 - 2 = 4x$

$5x^2 - 4x - 2 = 0$

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}$

$x = \dfrac{4 \pm \sqrt{16 + 40}}{10}$

$x = \dfrac{4 \pm 2\sqrt{14}}{10}$

$x = \dfrac{2 \pm \sqrt{14}}{5}$

$x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}$ or $x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}$

4 0

3 years ago

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