4 years ago

System of equation x 3y=9 y=x-1

Mathematics

1 answer:

olga2289 [7]4 years ago

8 0

You might be interested in

The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.

AfilCa [17]

Answer

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

$y = A \sin(Bx + C) + D$

Where

$|A| = Amplitude$

And it is calculated as:

$A = \frac{1}{2}[Highest - Least]$

From the table:

Highest = 77 and Least = 21

So:

$A = \frac{1}{2}[77 - 21]$

$A = \frac{1}{2}[56]$

$A = 28$

B is calculated as:

$Period = \frac{2\pi}{B}$

The period is 12 i.e. 12 months

So:

$\frac{2\pi}{B} = 12$

$B = \frac{2\pi}{12}$

$B = \frac{\pi}{6}$

C is calculated as:

$\frac{C}{B} = -4$

$C = -4 * B$

$C = -4 * \frac{\pi}{6}$

$C = -2 * \frac{\pi}{3}$

$C = -\frac{2\pi}{3}$

Lastly, D is calculated as:

$D = Least + A$

So:

$D =21 + 28$

$D=49$

So, the function is:

$y = A \sin(Bx + C) + D$

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

8 0

3 years ago

Marcus opens a new bank account. He deposits $25 that he won at a robotics competition. He also plans on depositing $10 a week t

xenn [34]

What's the question?

5 0

3 years ago

Find the equation of the line perpendicular to -2x+5y=3 and passing through point (2,3)

Mrac [35]

Isn’t it 0 oh wait let me redo that

4 0

4 years ago

What is the area in square feet of a 100 yard by 60 yard football field

vitfil [10]

Yards=6000

Feet=18000

6 0

4 years ago

(-12+(-5)? what is the sum

Roman55 [17]

We know when adding a negative and a negative, it will make the negative number bigger

So, (-12) + (-5) = -17

Hope this helps you

Brainliest would be appreciated

-AaronWiseIsBae

8 0

3 years ago

Read 2 more answers