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Naily [24]
3 years ago
6

The Temperature at 12 noon was 14° C above zero. If it decreases at the

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

-16

Step-by-step explanation:

you just subtract 2 each hour

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ANSWER

y = 5\sin( \frac{\pi}{3} x  -  \frac{2\pi}{3} )

EXPLANATION

Let the equation of the sine curve be of the form;

y = a \sin(bx + c)

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\frac{2\pi}{b}  = 6

This implies that

b =  \frac{2\pi}{6}

b =  \frac{\pi}{3}

We substitute the values we got so far into our equation to obtain;

y = 5\sin( \frac{\pi}{3} x + c)

When we substitute (2,0) we obtain;

0= 5\sin( \frac{2\pi}{3}  + c)

Solve for c.

\sin( \frac{2\pi}{3}  + c)  = 0

\frac{2\pi}{3}  + c =   \sin^{ - 1} (0)

\frac{2\pi}{3}  + c =   0

c =  - \frac{2\pi}{3}

Hence our equation becomes

y = 5\sin( \frac{\pi}{3} x  -  \frac{2\pi}{3} )

The correct choice is D.

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