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4 years ago

What expression is equivalent to (sin^2x) - (sin x) -2 / sin x-2 ?

1 answer:

4 0

The best way to solve this is to substitute: sin x = t.
So:
( t² - t - 2 ) / ( t - 2 ) =
= ( t² - 2 t + t - 2 ) / ( t - 2 ) =
= ( t ( t - 2 ) + ( t - 2 ) ) / ( t - 2 ) =
= ( t - 2 ) ( t + 1 ) / ( t - 2 ) =
= t + 1 = sin x + 1
Answer: sin x + 1

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3 years ago

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kipiarov [429]

Answer:

$y = 300 (2)^x$

Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:

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So then we need to replace the value of x =3 and we got:

$y= 300 (2)^3 = 2400$

Step-by-step explanation:

For this case we have the following function:

$y = 300 (2)^x$

Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:

$x = 66 minutes *\frac{1period}{22 minutes}= 3$

So then we need to replace the value of x =3 and we got:

$y= 300 (2)^3 = 2400$

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