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Rasek [7]
2 years ago
12

Questions, are all in picture, please solve

Mathematics
1 answer:
Andrews [41]2 years ago
3 0

The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.

<h3>How to analyze sinusoidal functions</h3>

In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:

  1. Equation of the axis - Horizontal that represents the mean of the bounds of the function.
  2. Period - Horizontal distance needed between two maxima or two minima.
  3. Amplitude - Mean of the difference of the bounds of the function.
  4. Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

  1. Equation of the axis: y = - 1
  2. Period: 6
  3. Amplitude: 2.5
  4. The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:

    cos θ = sin (θ + π/2)

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

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If the length of a rectangular playground is represented by the expression 2x - 3, and the width is represented by 5x + 9, what
Nimfa-mama [501]

Answer:

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Step-by-step explanation:

The area of rectangle is given by:

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Length = 2x-3

Width = 5x+9

The area of the rectangle will be:

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Hence,

The expression for area of rectangle in standard form is: 10x^2+3x-27

3 0
3 years ago
The domain of g(x) = 4x –12 is {2, 3, 6, 8}. What is the range
vlada-n [284]

Answer:

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Step-by-step explanation:

Given that,

The function is :

g(x) = 4x –12

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g(2) = 4(2) –12 = -4

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Hence, the range of the function is {-4,0,12,20}.

7 0
3 years ago
A rectangular house has a perimeter of 240 feet. The length of the house is 80 feet. What is the width of the house in feet?
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