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kow [346]
3 years ago
10

9(3s-3t)-2t-10(8t+s)

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Answer:

17s−109t

Step-by-step explanation:

Let's simplify step-by-step.

9(3s−3t)−2t−10(8t+s)

Distribute:

=(9)(3s)+(9)(−3t)+−2t+(−10)(8t)+(−10)(s)

=27s+−27t+−2t+−80t+−10s

Combine Like Terms:

=27s+−27t+−2t+−80t+−10s

=(27s+−10s)+(−27t+−2t+−80t)

=17s+−109t

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The correct option will be the last one: f(x)= 9sin(6 \pi x)+6

<em><u>Explanation</u></em>

The general equation for sinusoidal function is: f(x)= Asin(2\pi fx)+b, where A=Amplitude, f= frequency and b= y-intercept

Here the maximum value is 15 and the minimum value is -3. So, the distance between maximum and minimum values is 18. That means, the Amplitude, A= \frac{18}{2}=9

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So, the required function will be:

f(x)= 9sin(2\pi*3x) +6\\ \\ f(x)= 9sin(6\pi x) +6

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