1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allisa [31]
3 years ago
11

What is the frequency of the function f(x)?

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

The frequency = 5/2π

Step-by-step explanation:

* Lets revise some facts about the trigonometry function

- If the function is f(x) = A sin (B x + C) + D  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

 divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

- Period and Frequency are related where frequency = 1/period

* C is the horizontal shift  

- The horizontal shift is how far the function is shifted to left  

 (C is positive) or to right (C is negative) from the original position.  

* D is the vertical shift  

- The vertical shift is how far the function is shifted vertically up

  (D is positive) or down (D is negative) from the original position.  

* Lets solve the problem

∵ f(x) = 3 cos (5x) + 2

∵ f(x) = A sin (B x + C) + D  

∴ A = 3 , B = 5 , C = 0 , D = 2

∵ The period = 2π/B

∴ The period = 2π/5

∵ The frequency = 1/period

∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5

∴ The frequency = 5/2π

You might be interested in
Use the function below to find F(3)
garik1379 [7]

Answer:

Theanswer is 4/27.

Step-by-step explanation:

given that, F(x) = 4×(1/3)^x

now , F(3)= 4×(1/3)^3 ( putting value of x)

or, F(3) = 4×(1/27)

therefore, F(3)= 4/27... ans

<em><u>hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
to determine a student's grade, a teacher throws out the lowest grade obtained on 5 tests, averages the remaining grades, and ro
RoseWind [281]

Answer:

B grade

Step-by-step explanation:

75 + 90 + 88 + 86 = 339

339/4 = 84.75

Grade B = 80-89%

3 0
3 years ago
Read 2 more answers
If I send a chain email to 10 people and it remains unbroken how many people will have it by day 7
Svetradugi [14.3K]
The answer is 7 multiple by 10 =70
4 0
3 years ago
How many degrees is 25/360 of a full turn?
Art [367]
A full turn is 360 degrees, so 25 desgrees
5 0
3 years ago
Someone help me plsss which one do I choose
True [87]

Answer:

Ans: 0.0014

Step-by-step explanation:

-----------

7 0
3 years ago
Other questions:
  • I am thinking of a number.if you multiply my number by 4,add 4 to the product ,and then take 1/3 of the sum, the result is 6. fi
    13·1 answer
  • For a homework question, linda is asked to rewrite the expression (x^3×x)^2 in the form x^k.
    15·1 answer
  • (8b^3 − 6 + 3b^4 ) − (b^4 − 7b^3 − 3) =
    6·1 answer
  • On a piece of paper, use a protractor to construct right triangle ABC with AB=4 in. , m∠A=90° , and m∠B=45°
    8·2 answers
  • Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou
    12·2 answers
  • How can I find the prime factorization of a number with an easy explanation?
    9·1 answer
  • Charlotte has 85 stickers. Her brother has x times more stickers than her. Write
    12·1 answer
  • Which are correct representations of the inequality -3(2x - 5) &lt;5(2 - x)? Select two options.
    7·1 answer
  • I’ll give brainliest please help ASAP:)
    5·1 answer
  • The sum of a number divided by 5 and 12 is 16. What is the number?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!