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Novay_Z [31]
3 years ago
13

What is the solution to the system of linear equations?

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
The solution is point ( 0, 2)
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The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)
lesya692 [45]
First, let's use the given information to determine the function's amplitude, midline, and period. 

Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.
     
                      Determining the amplitude, midline, and period 

The midline intersection is at y=5 so this is the midline. 

The maximum point is 1 unit above the midline, so the amplitude is 1. 

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
 
                            Determining the type of function to use 

Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function. 

This means there's no horizontal shift, so the function is of the form -

a sin(bx)+d

Since the midline intersection at x=0 is followed by a maximumpoint, we know that a > 0.

The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1. 

The midline is y=5, so d=5. 

The period is 4π so b = 2π / 4π = 1/2 simplified. 

f(x) = 1 sin ( \dfrac{1}{2}x)+5   <span>= Solution </span>
4 0
3 years ago
Emily and Zach read a total of 32 books in four months. Emily read 12 books. Which equations
DerKrebs [107]

Answer:

D

Step-by-step explanation:

you take away 12 from the total and you'll find how many Zach read (20) then 12+20=32

4 0
2 years ago
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The answer for this problem is 43
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Answer:

Slope= 30

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Step-by-step explanation:

Given two points the slope will be change in y over change in x

OR (y-y1)/(x-x1)

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How many times can 3 go into 274.625?​
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Answer: About 91.54 times.

Step-by-step explanation:

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