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2 years ago

Identify the domain of the function shown in the graph.

Mathematics

1 answer:

Vlad1618 [11]2 years ago

5 0

X is greater than or equal to zero

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Solve xy - 3 = k solve for x

ladessa [460]

Answer:

x=(k+3)/y

Step-by-step explanation

First, we simplify by adding 3 to both sides of the equation

xy-3+3=k+3

Now it's xy=k+3

To get x we divide both sides by y

So x=(k+3)/y

3 0

3 years ago

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George and Maria decided to create a garden in their backyard. George Works on the garden every third day and Maria works on the

mario62 [17]

The LCM of 3 and 4 is 12

8 0

3 years ago

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Sketch the equilibrium solutions for the following DE and use them to determine the behavior of the solutions.

GREYUIT [131]

Answer:

$y=\dfrac{1}{1-Ke^{-t}}$

Step-by-step explanation:

Given

The given equation is a differential equation

$\dfrac{dy}{dt}=y-y^2$

$\dfrac{dy}{dt}=-(y^2-y)$

By separating variable

⇒ $\dfrac{dy}{(y^2-y)}=-t$

$\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-dt$

Now by taking integration both side

$\int\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-\int dt$

⇒ $\ln (y-1)-\ln y=-t+C$

Where C is the constant

$\ln \dfrac{y-1}{y}=-t+C$

$\dfrac{y-1}{y}=e^{-t+c}$

$\dfrac{y-1}{y}=Ke^{-t}$

$y=\dfrac{1}{1-Ke^{-t}}$

from above equation we can say that

When t will increases in positive direction then $e^{-t}$ will decreases it means that ${1-Ke^{-t}}$ will increases, so y will decreases. Similarly in the case of negative t.

4 0

3 years ago

Which formula gives the average rate of change of f(x) over the interval [8,12]?

Kruka [31]

I think the answer is C hope this would help you

5 0

3 years ago

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One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is580 ,

jenyasd209 [6]

Answer:

x = 60

1) 60

2) 360

3) 160

60 + 360 + 160 = 580

Step-by-step explanation:

1) x

2) 6x

3) x + 100

x + 6x + x + 100 = 580

8x = 580 - 100

x = 480/8

x = 60

7 0

2 years ago