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2 years ago

If y varies directly as x and y = -18 and x = 3, find x when y = 30.

Mathematics

2 answers:

Eddi Din [679]2 years ago

6 0

Answer:

x = - 5

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 18 when x = 3 , then

- 18 = 3k ( divide both sides by 3 )

- 6 = k

y = -6x ← equation of variation

When y = 30 , then

30 = - 6x ( divide both sides by - 6 )

- 5 = x

Otrada [13]2 years ago

3 0

Answer:

$y \: varies \: directly \: as \: x \: mean \\ \: y \: increase \: or \: decrease \: with \: x \\ y = - 18 \: \: \: \: x = 3 \\ y = 30 \: \: \: x = ? \\ - 18 ? = 90 \\ ? = - 5 = x$

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X + y = -1<br> 4x - 2y = -16

djyliett [7]

Answer:

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Step-by-step explanation:

$x + y = -1$ Equation:1

$4x - 2y = -16$ Equation:2

Solving Equation:1

$x+y=-1$

Subtracting 'y' from both the sides:

$x+y-y=-1-y\\\\x=-1-y$

Putting 'x' in Equation :2

$4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16$

Adding '4' both the sides

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Putting the value of 'y' in equation:1

$x+y=-1$

$x+(2)=-1\\\\x=-1-2\\\\x=-3\\$

The solution is:

$x=-3 \\and\\ y=2$

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Which set of graphs can be used to find the solution set to 3e* > >-x?

kobusy [5.1K]

The attached graph represents the solution set of $3e^x > \frac 12^x$

<h3>How to determine the graph?</h3>

The complete options are not given.

So, I would plot the graph that represents the solution set

The inequality is given as:

$3e^x > \frac 12^x$

Start by splitting the inequalities as follows:

$f(x) > 3e^x$

$g(x) > \frac 12^x$

The above means that we plot the graphs of f(x) and g(x) to represent the solution set

See attachment