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3 years ago

What is the constant of variation for the quadratic variation? 0.1y = 3x2

Mathematics

1 answer:

svet-max [94.6K]3 years ago

6 0

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

$y = kx^2$ ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

$0.1y=3x^2$ or

$y=(\frac{3}{0.1})x^2$ or

$y=30x^2$

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the constant of variation is, 30.

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Step-by-step explanation:

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2 years ago

A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

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Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

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The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

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2 years ago

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3 years ago

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3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3 P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

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3 years ago

One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

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11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

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3 years ago