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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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Anika [276]
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6 0
3 years ago
Enter your answer and show all the steps that you use to solve this problem in the space provided.
rodikova [14]

Answer:

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  <u>-(5x³           - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   <u>-(5x³          -  7x + 4) </u>

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

5 0
2 years ago
A line has a slope of 3/5. a line parallel to that line would have a slope of
nekit [7.7K]
-3/5 they have opposite slopes so they would never touch but are parallel.
4 0
3 years ago
What is the value of x in the equation 6(x +11)= -300?
Kay [80]

Answer:

-61

Step-by-step explanation:

We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.

8 0
2 years ago
Solve |2x – 3| = 11. Show each step of your work.
Klio2033 [76]

Answer:

x =7       or              x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11    or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3    2x-3+3 = -11+3

2x = 14                 2x = -8

Divide each side by 2

2x/2 =14/2           2x/2 = -8/2

x =7                     x = -4

8 0
3 years ago
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