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3 years ago

22% of people watch Netflix. 38% of people watch HBO. 10% of people watch both

Mathematics

1 answer:

timama [110]3 years ago

6 0

Answer:

40%

Step-by-step explanation:

Netflix:

22% - 10% = 12%

HBO:

38% - 10% = 28%

People who watch Netflix only: 12%

People who watch HBO only: 28%

People who watch both Netflix & HBO: 10%

People who watch HBO or Netflix: 12% + 28% + 10% = 40%

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Power and chain rule (where the power rule kicks in because $\sqrt x=x^{1/2}$ ):

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Quotient rule:

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$(\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)$

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Put everything together and simplify:

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$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}$

$=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}$

$=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}$

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3 years ago

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Answer:

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Step-by-step explanation:

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