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3 years ago

Find the value of y for a given value of x, if y varies directly with x.

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

The value of y is 92 . The complete steps of the solution is provided below.

Step-by-step explanation:

We are given with

* y varies directly with X

* If y=128 when x=64.

The equation for direct variation equation is y= k x.

Where 'k' is constant of variation.

By putting the values of x and y, we can find the value for k.

→ 128 = k (64)

Divide both sides by 64.

→ $\frac{128}{64}$ = k

Simplify it.

→ 2= k or k =2

Plug in back 'k' as 2 into the equation y=k x.

We get y=2 x.

We are asked to find the value y when x=46.

Plug in x as 46 into the equation.

⇒ y=2(46)

⇒ y= 92

Thus the answer is 92.

Learn more:

brainly.com/question/472621

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ExtremeBDS [4]

Answer:

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Step-by-step explanation:

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Find the equation of the first inequality

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Remember that

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The inequality is

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step 2

Find the equation of the second inequality

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Remember that

Everything below and to the left of the line is shaded

The inequality is

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Rewrite

Multiply by 2 both sides

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therefore

The system of inequalities is

$y\geq x-2$

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see the attached figure to better understand the problem

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