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3 years ago

In an inverse variation, y = 3 when x = 8. Write an inverse variation equation that shows

Mathematics

1 answer:

Klio2033 [76]3 years ago

7 0

Answer:

y = 24/x

Step-by-step explanation:

<u>An inverse variation equation is:</u>

y = k/x

<u>We have y = 3 when x = 8, find the coefficient k:</u>

3 = k/8
k = 3*8
k = 24

<u>The equation is:</u>

y = 24/x

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Rewrite 34 = 81 in logarithmic form.

Anna35 [415]

Answer:

$log_3(81) = 4$

Step-by-step explanation:

Given

$3^4 = 81$

Required

Rewrite in logarithmic form

We start by taking log of both sides

$3^4 = 81$

$log3^4 = log81$

From laws of logarithm;

$loga^b = b\log(a)$

So; $log3^4 = log81$ becomes

$4log3 = log81$

Divide both sided by log3

$\frac{4log3}{log3} = \frac{log81}{log3}$

$4 = \frac{log81}{log3}$

From laws of logarithm;

$\frac{loga}{logb} = log{_b}(a)$

So;

$4 = \frac{log81}{log3}$ becomes

$4 = log_3(81)$

$log_3(81) = 4$

Hence, $3^4 = 81$ in logarithm form is $log_3(81) = 4$

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3 years ago

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Nat2105 [25]

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3 years ago

Read 2 more answers

Karen is investigating if age has any effect on political party preferences. What is the explanatory variable?

anastassius [24]

Using variable concepts, it is found that the explanatory variable is the age.

<h3>Explanatory and response variables:</h3>

The variables of an experiment are divided into explanatory and response.

The response variable is the one that is the focus of the study, that is, the one that can be changed.

The explanatory is the one that explains the reason of the change in the response variable.

In this problem, the <u>age can effect the political party preference</u>, hence:

The variable that is changed is the political party preference, hence it is the response variable.

The reason is the age, hence it is the explanatory variable.

You can learn more about explanatory and response variable at brainly.com/question/22046153

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago