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Bumek [7]
3 years ago
12

Which of the following is the graph of y = sin(0.5x)? D. Edge 2021 :)​

Mathematics
1 answer:
polet [3.4K]3 years ago
3 0

Answer:

You did not include the graphs, but I can explain how the graph is and so you can recognize it.

1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.

2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.

3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π

That means that the values repeat every 4π interval (which is the same that 720°)

4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).

That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...

5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).

Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.

       

Step-by-step explanation:

Download pdf
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Simon and his niece Marcie are comparing their ages to see if there is a Mathematical connection. They find that Simon is three
Rom4ik [11]

Answer:

Simon's Age = 47

Marcie's Age = 11

Step-by-step explanation:

<em>The question is to find Simon's age and Marcie's age.</em>

<em />

Let Simon's age be x and Marcie's age be y

<u>Simon is 3 years more than 4 times marcie, so we can write:</u>

x = 4y + 3

Also,

<u>Sum of their ages is 58, so we can write:</u>

x + y = 58

or x = 58 - y

Now, we substitute this into 1st equation and solve for y first:

x = 4y + 3\\58-y = 4y + 3\\58-3=4y+y\\55=5y\\y=\frac{55}{5}\\y=11

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11

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Step-by-step explanation:

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