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1 year ago

Which of the following is the graph of y = -2√x-3+2?

Mathematics

1 answer:

snow_lady [41]1 year ago

8 0

I presume you meant $y=-2\sqrt{x-3}+2$ .

The graph is shown in the attached image.

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What percent of 200 is 290

Crazy boy [7]

145%
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90/200= 45%

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3 years ago

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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8

Ivanshal [37]

It looks like the differential equation is

$\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}$

Factorize the right side by grouping.

$xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)$

$xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)$

Now we can separate variables as

$\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx$

Integrate both sides.

$\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx$

$\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx$

$\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}$

You could go on to solve for $y$ explicitly as a function of $x$ , but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

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1 year ago

SADFHUABSUDHAYSDXNINWYGBXIDNYW PLEASE ANSEWR

Alenkinab [10]

Answer:

$15x-6y=48$

Step-by-step explanation:

So we have the system of equations:

$5x-2y=16\\15x-7y=51$

And we want to multiply the first equation by some constant such that the resulting equation matches the coefficient of [x] in the second equation.

We can see that the coefficient of x in the second equation is 15.

So, to match 15, we must multiply the first equation by 3. So:

$3(5x-2y)=3(16)$

Multiply:

$15x-6y=48$

And we're done!

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2 years ago

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Graph the function f(x) = -(x - 2)2 – 3

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Answer:

Rd dug is there anything you need to know or do you need to contact me at the

Step-by-step explanation:

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3 years ago

In an introductory statistics class there are 4 men and 6 women. An examination is given, and the students are ranked according

earnstyle [38]

Answer:

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Step-by-step explanation:

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No two students scored the same score

Therefore, this implies that there would be 10! Scores

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But if the men ranked amongst themselves and the women too amongst themselves we would have

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3 years ago