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Lana71 [14]
3 years ago
15

What is the constant of variation, k,

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
6 0
The K-constant variation is the factor of the increase-decrease relationship between the x-variable and y-variable which can be stated as y=k*x or x=y/k<span>. For example, if y variable equal 5 and the x variable equal 2 then the k-constant variation equal 2 (calculation y=k*x --> 5=2*2.5). This constant shows the relationship between the variables.</span>
alexdok [17]3 years ago
5 0
Given two variable which are either directly proportional to each other or inversely proportional to each other, the constant of variation k is the number that relates these two variables
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Classify the following functions as growth or decay: f(x) = 10 (6/7)^x, g(x)= 1/3e^x, h(x)=5e^-x, k(x)= -10(6/7)^x
Strike441 [17]

It is known that any exponential function with the form f(x)=a^x is an increasing function while a function of the form g(x)=a^(-x) is a decreasing function.

Furthermore, it a function h(x) is increasing, then the function -h(x) is decreasing. By analogy, if a function k(x) is decreasing, then -k(x) is increasing.

Now let's analyze the functions from the problem.

\text{ Let }f(x)=10\cdot(\frac{6}{7})^x

Since (6/7)^x is increasing and the multiplying factor of 10 is positive, then the function <em>f(x)</em> is also increasing.

Use these rules to find whether each function is increasing or decreasing.

Remember that increasing functions are used to represent growth while decreasing functions are used to represent decay.

8 0
11 months ago
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Dominik [7]

Answer:

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Step-by-step explanation:

Volume of a cone is (1/3)πr^2h.

You have the necessary info, so just plug it in.  (1/3)*π*(3/2)^2*(9/4)

8 0
3 years ago
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