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3 years ago

10

Suppose that y varies inversely with X and that y equals 4 when x equals 6 what is an equation for the inverse variation

2 answers:

seraphim [82]3 years ago

5 0

Answer:

the answer is b. y=25/x just took the exam <3<3<3<3<3

Step-by-step explanation:

nekit [7.7K]3 years ago

3 0

When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.

To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.

y = k / x
4 = k / 6
24 = k

Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.

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Tom [10]

Answer: The statements in options 2 and 4 are true.

Explanation:

The LCM of two numbers is the smallest number that is multiple of both numbers.

The factor of 8 and 12 are,

$8=2\times 2\times 2$

$12=2\times 2\times 3$

Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,

$L.C.M.(8,12)=2\times 2\times 2\times 3=24$

Therefore the statement in option 1 is incorrect.

The factor of 6 and 9 are,

$6=2\times 3$

$9=3\times 3$

Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,

$L.C.M.(6,9)=2\times 3\times 3=18$

Therefore the statement in option 2 is correct.

The factor of 11 and 4 are,

$11=1\times 11$

$4=2\times 2$

Since all factor are different, therefore the L.C.M. of 11 and 4 is,

$L.C.M.(11,4)=1\times 11\times 2\times 2=44$

Therefore the statement in option 3 is incorrect.

The factor of 9 and 10 are,

$9=1\times 9$

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Since all factor are different, therefore the L.C.M. of 9 and 10 is,

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Therefore the statement in option 4 is correct.

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