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marshall27 [118]
3 years ago
10

If the average of three numbers is V if one number is Z and another is y what is the remaining number ?

Mathematics
1 answer:
user100 [1]3 years ago
6 0
The formula for an average of three numbers is (x+y+z)/3.  So if V equals the average, then we find the formula
V = (x+y+z)/3
We are now looking for x.  We can divide each of the variables in the parentheses by 3, making the formula
V = x/3 + y/3 + z/3
So now bring the unwanted variables to the same side as V.
V - y/3 - z/3 = x/3
Now multiply both sides by 3 to find x.
3V - y - z = x

x = 3V - y - z
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Answer:

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Step-by-step explanation:

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y = (⅔)x - 3

2. What is the equation of a line that has a slope of 3?

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3 0
3 years ago
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Komok [63]
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3 years ago
Which statement is true about the function
Lana71 [14]
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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

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From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

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