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Alenkinab [10]
3 years ago
13

The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

A.) phase shift is h=6

B.) Vertical shift is 21 units down

C.) The amplitude is 5 from the midline at y= -21

D.) The period is 16 and the frequency factor is pi/8

E.) 5 cos(pi/8(x-6))-21

Step-by-step explanation:

Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.

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Answer:

Ann = 67 stickers

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1 year ago
Charlotte is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week,
FrozenT [24]

Answer:

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

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Reduced ratio 27 to 9
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jeka94

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I think 1/4

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So, you first should find a common denominator so you can add the fractions together.

So, 1/4 + 1/3 + 1/6 becomes 3/12+4/12+2/12.

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