3 years ago

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Mathematics

1 answer:

anygoal [31]3 years ago

5 0

Answer:

k = 2/-3

Step-by-step explanation:

y = kx

Point: (-3, 2)

2 = k(-3)

k = 2/-3

k = -0.6

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mel-nik [20]

Answer:

8/21

Step-by-step explanation:

1- 2/7 - 1/3 = 21/21 - 6/21 - 7/21 = 8/21

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2 years ago

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The marginal profit in dollars on Brie cheese sold at a cheese store is given by Upper P prime (x )equals x (60 x squared plus 9

blondinia [14]

Answer:

Part A:

P(x)=15x^4+30x^3-50

Part B:

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Step-by-step explanation:

Part A:

In order to find the profit function P(x) we have to integrate the P'(x)

P'(x)=x(60x^2+90x)

P'(x)=60x^3+90x^2

$\int\limits {p'(x)} \, dx =\int\limits {60x^3+90x^2} \, dx$

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Part B:

x=4

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3 years ago

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gtnhenbr [62]

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lilavasa [31]

We have the equation:

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We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

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Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

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IceJOKER [234]

That is how I solved that :)

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