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stellarik [79]
3 years ago
5

P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

Mathematics
1 answer:
Alla [95]3 years ago
6 0

Answer:

P = - 1

Step-by-step explanation:

Given P varies inversely with x the the equation relating them is

P = \frac{k}{x} ← k is the constant of variation

To find k use the condition P = 12 when x = 4

12 = \frac{k}{4} ( multiply both sides by 4 )

48 = k

P = \frac{48}{x} ← equation of variation

When x = - 48, then

P = \frac{48}{-48} = - 1

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Set up the equation!

4a-6=-2+14

Let's try subtracting 14 from both sides! We must do the opposite operation to cancel it out.

14-14=0\\-6-14= -20

Now we have

4a-20=-2

We have to start on the left side now, because we can't have an equation with one blank side. The number you start with will end up getting canceled out, as 0. How about we add 20 to both sides?

-20+20=0\\-2+20=18

Now we have

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Next, we have to apply the opposite opperation to both sides. The only opperation left is multiplication (4a). Therefore, we need to divide by 4, because we have to isolate a.

4a/4=a\\18/4=4.5

Now we have

a=4.5

Your answer is a=4.5!

<u><em>Remember:</em></u><em> </em><em>Combine like terms first, it's much easier!</em>

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Given:
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kakasveta [241]

Answer:

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Step-by-step explanation:

Given

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Required

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<em>This simply means that; we expand the bracket;</em>

<em>So, we have;</em>

= (-3)(-2) + (-3)(3/10)

From the list of given options, <em>option A answers the question</em>

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