Mathematics: If y varies inversely as x and y= 2/5 when x= 1/20, find y when x=1/2 ?

If y varies inversely as x and y= 2/5 when x= 1/20,

Ответ:

xojade

10.03.2022

ANSWER

$y = \frac{1}{25}$

EXPLANATION

If y varies inversely as x, we can write the relation,

$y \propto \frac{1}{x}$

When we introduce the constant of proportionality, we get the equation.

$y = \frac{k}{x}$

When
$y = \frac{2}{5}$
and

$x = \frac{1}{20}$

We get,

$\frac{2}{5} = \frac{k}{ \frac{1}{20} }$
We solve for k, by multiplying both sides of the equation by
$\frac{1}{20}$

This implies that,

$\frac{2}{5} \times \frac{1}{20} = k$

This simplifies to give

$k = \frac{1}{50}$

The variation equation now becomes,

$y = \frac{ \frac{1}{50} }{x}$

or

$y = \frac{1}{50x}$

When
$x = \frac{1}{2}$

$y = \frac{1}{50 \times \frac{1}{2} }$

This gives us,

$y = \frac{1}{25}$

The correct answer is B.

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Ответ:

kayciemarie9486

01.04.2022

Mathematics

Option: A is the correct answer.

A. Graph A

Step-by-step explanation:A quartic function is a function whose degree is 4 i.e. even.We know that for any even degree function the end behavior of the graph is in the same direction i.e. when x tends to infinity and minus infinity then the function goes in the same direction.And for any odd degree function the end behavior of the graph goes in the opposite direction.

Among the given graphs Graph A is such that both the ends of the graph goes in the same direction while in other they goes in opposite direction.

Hence, the correct answer is:

Graph A

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If y varies inversely as x and y= 2/5 when x= 1/20, find y when x=1/2 ?

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