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TiliK225 [7]
3 years ago
6

Which inequality is graphed below

Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Answer: c

Step-by-step explanation:

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A bike rental company charges a $5 service fee and $1 per hour. If this situation is represented as a function, what would be th
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Write as a function equation: where f(x) is the same as "y"

f(x) = 5 + 1x   ------  y = 1x + 5

Use:  y = mx + b  (Where m = slope and b is y intercept)

Slope is 1 and y intercept is +5 

Remember slope is rise over run so 1 can be written as 1 / 1 and interpreted as rise 1 and run 1 both in the positive direction. 



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parenthesis

Step-by-step explanation:

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The percent decrease in the price of bottled water
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3 years ago
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Cos(−θ)=√3/3, sinθ<0
Delicious77 [7]

Answer:

\sin\theta=-\frac{\sqrt{6}}{3}


Step-by-step explanation:

The given trigonometric equation is \cos(-\theta)=\frac{\sqrt{3} }{3}.

We can either use the Pythagorean identity or the right angle triangle  to solve for \sin\theta.

According to the Pythagorean identity,

\cos^2\theta+\sin^2\theta=1


Recall that, the cosine function is an even function, therefore

\cos(-\theta)=\cos(\theta)


\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}.

We substitute this value in to the above Pythagorean identity to get;


(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1


\Rightarrow \frac{3}{9}+\sin^2\theta=1


\Rightarrow \sin^2\theta=1-\frac{3}{9}


\Rightarrow \sin^2\theta=\frac{6}{9}


\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}


\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}


But we were given that,

\sin\theta\:, so we choose the negative value.

\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}


The correct answer is B







7 0
3 years ago
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