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Karo-lina-s [1.5K]
3 years ago
13

Question 2 In the fall, a community service club sold 10 shirts and 20 hats for a total of $490. In the spring, the club sold 20

shirts and 30 hats for a total of $860. Each shirt sold for the same price. Each hat sold for the same price.
Write a system of equations that can be used to find the cost, in dollars, of one shirt (s) and one hat (h).

What is the total cost, in dollars, of one shirt and one hat?
Mathematics
1 answer:
Stells [14]3 years ago
8 0
To answer the question above, we let s be the cost of a shirt and h be the cost of each hat such that the equations that would best represent the given are:
                                        10s + 20h = 490
                                         20s + 30h = 860
The system of equations is the answer to the first question and the values of s and h are $25 and $12, respectively. 
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A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
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Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

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The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

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Now, you have to draw the sine function with the given key features:

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Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

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Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

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  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

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