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
denis-greek [22]
2 years ago
13

A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati

on of the function described?
Mathematics
1 answer:
IRINA_888 [86]2 years ago
4 0

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

brainly.com/question/26315885

#SPJ1

You might be interested in
Can someone help me plz
OLEGan [10]
With where is it ?????
3 0
3 years ago
Read 2 more answers
Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week
alekssr [168]

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.

Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. 

If there is no overtime, the equation is W = 10x.

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. 

At $10 per hour for 40 hours, the total is $400.

S = 15y + 400

Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

490 = 15y + 400

490 - 400 = 15y

90 = 15y

90/15 = y

6 = y

Drey worked 46 hours in all.




4 0
3 years ago
Scientists discovered an unknown planet 165,000 light years from Earth. A light year is about 5,880,000,000,000 miles. What is t
uranmaximum [27]
Um the answer is kinda hard to do cause the answer is 9.70e17, but i dont know how to do that in scientific notation.
7 0
3 years ago
Read 2 more answers
Calculate the measure of the major arc MPN.
34kurt

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.

4 0
2 years ago
Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in
VLD [36.1K]

Answer:

  $169.33

Step-by-step explanation:

Each of the friends spent ...

  $14.95 +6.99 +2.25 = $24.19

The seven friends together spent ...

  7($24.19) = $169.33

5 0
2 years ago
Other questions:
  • What is the maximum number of non-overlapping regions that can be determined by three lines in a plane
    5·1 answer
  • Which point is the y-intercept of the graph of 5x - 3y = 15 ?
    7·1 answer
  • Solve x - 6.3 = 4.1 for x
    11·2 answers
  • My question is in the picture above.
    14·2 answers
  • Angle sec0= -13/12 and cot&lt;0. what are the exact values of tan0 and sin0.
    13·2 answers
  • I need help with this.
    12·1 answer
  • I need help asap please it going to 100 points
    14·2 answers
  • Solve the following system of equations.
    14·1 answer
  • Please solve and hurry
    15·1 answer
  • Look at image, question is in image
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!