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bazaltina [42]
3 years ago
5

What is the frequency of the function y = cos5x?

Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0
The given formula is a sinusoidal equation. Sinusoidal equations are trigonometric functions involving sine and cosine functions. Graphically, they look like wave patterns having amplitudes and periods. The general form of a sinusoidal equation is 

y = A cos(Bx + C) + D

where

A = amplitude
B = frequency
C = shift on starting angle
D = shift of wave on the y-axis

Thus, can pattern out that A=1, B=5, C=0 and D=0 in the given equation. The SI unit of frequency is Hertz (Hz) or 1/second. Hence, the frequency of the function is 5 Hz.
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Answer:

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<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -4x + 1

11y = x + 146

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  11(-4x + 1) = x + 146
  2. Distribute 11:                                                                                                      -44x + 11 = x + 146
  3. [Addition Property of Equality] Add 44x on both sides:                                11 = 45x + 146
  4. [Subtraction Property of Equality] Subtract 146 on both sides:                      -135 = 45x
  5. [Division Property of Equality] Divide 45 on both sides:                              -3 = x
  6. Rewrite/Rearrange:                                                                                          x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                                 y = -4x + 1
  2. Substitute in <em>x</em>:                                                                                                 y = -4(-3) + 1
  3. Multiply:                                                                                                           y = 12 + 1
  4. Add:                                                                                                                    y = 13
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Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

y

=

3

2

x

2

+

4

x

−

9

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

−

35

3

,

∞

)

Set-Builder Notation:

{

y

∣

∣

∣

y

≥

−

35

3

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

[

−

35

3

,

∞

)

,

{

y

∣

∣

∣

y

≥

−

35

3

}

image of graph

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