What is the period of the sinusoidal function?Enter your answer in the box.
1 answer:
Answer:
The period of the function is
Step-by-step explanation:
The graph completes one cycle in the interval .
The length of this interval is .
The graph completes another cycle within the interval .
The length of this interval too is .
This means that after every 10 units, the graph repeats itself. Therefore the period is 10.
The graph is a sine function because it is symmetric about the origin.
Its equation is .
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<h2>Answer: x = 6</h2>
* = things that have changed or are being changed
<h2>Explanation:</h2>1. rearrange terms
*4 4 + 3 * = 5 + 2 + 2 0
*3x + 44* = 5x + 2 + 20
2. combine like terms
3 + 44 = *5x + 2* + 20
3 + 44 = *7x* + 20
3. Subtract 4 4 from both sides of the equation
3x + 44 = 7x + 20
3x + 44 *-44* = 7x + 20 *-44*
4. Simplify
(Subtract the numbers)
3x + *44 - 44* = 7x + 20 - 44
3x = 7x + 20 - 44
(Again)
3x = 7x + 20 *- 44*
3x = 7x - 24
5. Subtract 7 from both sides of the equation
3x = 7x - 24
3x *- 7x* = 7x - 24 *- 7x*
6. Combine like terms
*3x - 7x* = 7x - 24 - 7x
*-4x* = 7x - 24 - 7x
(Again)
-4x = *7x* - 24 *- 7x*
-4x = - 24
7. Divide both sides of the equation by the same term
-4x = - 24
8. Simplify
(Cancel terms that are in both the numerator and denominator)
*x* =
(Divide the numbers)
x =
x = 6