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3 years ago

y varies inversely with x. If y = 4 when x= -6, find the constant of variation and find the value of y when x= -2

Mathematics

1 answer:

Setler [38]3 years ago

4 0

Answer:

constant of variation: k = -24

y = 12 when x = -2

Step-by-step explanation:

y varies inversely with x equation is: y = k/x

where 'k' if the constant of variation

plug in:

4 = k/-6

cross-multiply to get value of 'k' which is -24

plug in:

y = -24/-2

y = 12

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topjm [15]

Let
x--------> the unknown scale size
we know that
N 1---------> x
N 2---------> 1
N 3---------> 0.937
N 4--------->0.878
scale factor=0.937/0.878------> 1.0672
to obtain the size N 3 ----> multiply the size N 4 by 1.0672
size N 3=1.0672*0.878-----> 0.937
so
to obtain the size N 2 ----> multiply the size N 3 by 1.0672
size N 2=1.0672*0.937------> 1

to obtain the size N 1 ----> multiply the size N 2 by 1.0672
size N =1.0672*1------> 1.0672
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3 years ago

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pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

$y>2x+3$

$y$

The related equation of given inequalities are

$y=2x+3$

$y=-\frac{3}{2}x-4$

Put x=0, to find the y-intercepts.

$y=2(0)+3=3$

$y=-\frac{3}{2}(0)-4=-4$

Put y=0, to find the x-intercepts.

$0=2x+3\Rightarrow x=-\frac{3}{2}$

$0=-\frac{3}{2}x-4\Rightarrow x=-\frac{8}{3}$

The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.

Check the given inequality by (0,0).

$0>2(0)+3$

$0>3$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

$0$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

We have to check whether (4,6) is a solution of the system of inequality or not.

Check the given inequality for the point (4,6).

$(6)>2(4)+3$

$6>11$

This statement is false. It means (4,6) is not the solution of given system of inequalities.

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3 years ago

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Rom4ik [11]

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3 years ago

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Andrew [12]

Answer:

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Step-by-step explanation:

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