A global clothing manufacturing company often develops
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In this exercise we have to observe the axes of the graph to associate the values of X with those of Y that correspond to 0, 5, 5, -3, -5, -3, 2, 0, 0, -1, -2, 1, 1, -1, -1, -2, 2, 3, -1.
<h3>How to calculate the Cartesian plane?</h3>Just draw two lines: one of them vertical, starting from the point until it finds the x axis; another horizontal, starting from the point until it meets the y-axis.
Then plotting the value of X on the graph we find the following for each value of X to Y:
- X= 0 ; Y= 0;
- X= 1 ; Y= 5;
- X= 2 ; Y= 5;
- X= 3 ; Y= -3;
- X= 4 ; Y= -5;
- X= 5 ; Y= -3;
- X= 6 ; Y= 2;
- X= 7 ; Y= 0;
- X= 8 ; Y= 0;
- X= 9 ; Y= -1;
- X= 10 ; Y= -2;
- X= 11 ; Y= 1;
- X= 12 ; Y= 1;
- X= 13 ; Y= -1;
- X= 14 ; Y= -1;
- X= 15 ; Y= -2;
- X= 16 ; Y= 2;
- X= 17 ; Y= 3;
- X= 18 ; Y= -1;
See more about coordinates at brainly.com/question/23450276
Answer:
C
Explanation:
Please refer to the picture attached.
To find the solution for the polynomial, since the highest power of the equation is 2, u can use the formula as stated in the picture to solve the equation to find the 2 solutions.
In the options above, only C matched one of the 2 answers of this equation.
The first and second coordinate points of the sine graph are;
(0, 20) and (2, 22)
<h3>Sine Graph expression</h3>
The general formula we will use to plot the graph is;
y = [Asin (2πx/t)] + ∅ (Note that sin is in radians)
where;
A is amplitude
t is period
∅ is phase shift
We are told that the buoy bobs up and then down 2 meters from the ocean's depth. This means that;
Amplitude; A = 2
Now, Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Thus;
Period = 2 * 4 = 8 seconds
Assume at x = 0, the buoy is at normal ocean depth. Thus;
Phase shift; ∅ = 20
Thus, we have;
y = [2sin((2πx/8)] + 20
At x = 0, we have;
y = [2sin((2π*0/8)] + 20
y = 0 + 20
y = 20
Thus, first point is; (0, 20)
Since the second point must be a maximum or minimum value on the graph closest to the first point, then we put 2 for x to get the coordinate of the second point;
y = [2sin((2π*2/8)] + 20
y = [2sin((2π*2/8)] + 20
y = [2sin(π/2)] + 20
In radians, sin(π/2) = 1. Thus;
y = (2 * 1) + 20
y = 22
Second point is (2, 22)
Using the first and second point coordinates, we will use sine tool to graph the function as attached below.
Read more about sine graph at; brainly.com/question/18055768
