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3 years ago

If y varies inversely as x and y = 27 when x = 12 , find x when y = - 9 .

Mathematics

1 answer:

Sergio039 [100]3 years ago

3 0

Answer:

x = - 36

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

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

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y = $\frac{324}{x}$ ← is the equation of variation

When y = - 9, then

- 9 = $\frac{324}{x}$ ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36

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3 years ago

Please help asap !!!!!

Natasha2012 [34]

Answer:

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Step-by-step explanation:

Similar Shapes

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This means that the measure of VX is twice the measure of VW,

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3 years ago

What is a formula for the nth term of the given sequence? 36, 24, 16...

SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · $\frac{2}{3} ^{n}$

Step-by-step explanation:

The formula for nth term of an geometric progression is :

$a_{n} = \frac{a_{1}(r^{n})}{r}$

In this example, we have $a_{1}$ = 36 (the first term in the sequence) and

r = $\frac{2}{3}$ (the rate in which the sequence is changing).

Knowing what the values for r and $a_{1}$ are, now we can solve.

$a_{n} = \frac{a_{1}(r^{n})}{r}$ = $\frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} }$ = 54 · $\frac{2}{3} ^{n}$

Therefore, the formula to find the nth term of the given sequence is

54 · $\frac{2}{3} ^{n}$

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3 years ago