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3 years ago

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

Mathematics

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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Select the point that is a solution to the system of inequalities. Yx^2-4?

ziro4ka [17]

Answer:

C (1,2)

Step-by-step explanation:

The point that is a solution must satisfy both inequalities;

The inequalities are;

$y\:$

$y\:>\:x^2-4$

Point A

$(4,0)$

$0\:$ : True

$0\:>\:16-4$ :False

Point B (0,4)

$4\:$ : False

$4\:>\:0-4$ :True

Point C (1,2)

$2\:$ : True

$2\:>\:1-4$ :True

Point D(-2,-4)

$-4\:$ : True

$-4\:>\:4-4$ :False

The correct answer is C.

4 0

3 years ago

The denominator of a fraction is 10 more than its numerator.

Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

$\frac{3(x+10)-15}{3(x+10)}$

Therefore, it becomes

$\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}$

Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$