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
babymother [125]
3 years ago
15

The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)

Mathematics
1 answer:
Natalija [7]3 years ago
8 0
First, let's use the given information to determine the function's amplitude, midline, and period. 

Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.
     
                      Determining the amplitude, midline, and period 

The midline intersection is at y=5 so this is the midline. 

The maximum point is 1 unit above the midline, so the amplitude is 1. 

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
 
                            Determining the type of function to use 

Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function. 

This means there's no horizontal shift, so the function is of the form -

a sin(bx)+d

Since the midline intersection at x=0 is followed by a maximumpoint, we know that a > 0.

The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1. 

The midline is y=5, so d=5. 

The period is 4π so b = 2π / 4π = 1/2 simplified. 

f(x)1 sin   (\dfrac{1}{3}x) +5  = Solution
You might be interested in
Simplify.<br><br> 2x5 - 6x2 + 4x4y<br> -------------------------<br> 2x
Ede4ka [16]
We have the rational expression \frac{2x^{5}-6x^{2}+4x4y}{2x}; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator 2x.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable x, and the least exponent of that variable is 1, so x will be the other part of our common factor. Lets put the two parts of our common factor together to get 2x.
Now that we have our common factor, we can rewrite our numerator as follows:
\frac{2x(x^{5}-6x+2(2y)}{2x}
We are luckily, we have 2x in both numerator and denominator, so we can cancel those out:
x^{5}-6x+2(2y)
x^5-6x+4y

We can conclude that the simplified version of our rational function is x^{5}-6x+4y.
4 0
3 years ago
What is the perimeter of the triangular region
Fynjy0 [20]

Answer:Area)=12x(Base)x(Height)Step-by-step explanation:


7 0
2 years ago
What is the length of segment DB?
tatyana61 [14]
I believe it’s 82

8x=3x+8+4x+10
x=18

4•18+10=72+10=82
3 0
3 years ago
A bag contains 8 green marbles, 12 red marbles, and 16 blue marbles. What is the probability that a person reaches into the bag
kolezko [41]
8/36 because:
8+16+12=36
and if you simplify it the answer will be 4/18 2/9
3 0
2 years ago
Read 2 more answers
The freezing point of neon is about -249c . The freezing point of chorine is about 148c higher. What is the approximate freezing
Westkost [7]

Answer:

-101 c.

Step-by-step explanation:

-249 + 148

= -(249 - 148)

= -101 C.

5 0
2 years ago
Other questions:
  • A car loses 15% of its original value each year. After one year, a car has a value of $13,600. What is the original value of the
    6·1 answer
  • If it cost 18.50 dollars to rent a kayak for an hour how long can you rent it for a dollar
    8·1 answer
  • 2 Points<br> Solve the equation 3x + 5y = 16 for y,
    14·1 answer
  • List the sides in ΔEFG in order from smallest to largest. Picture includes possible solutions
    13·1 answer
  • The two rectangular prisms shown have bases with the same area. the height of Y=6 cm. The height of Z=24. Which statement is tru
    9·2 answers
  • 1) Jared, an art dealer, earns 15% commission on the art pieces that he sells at a Gallery. Jared sold $10,800 this month. How m
    9·1 answer
  • Lian was asked to write an equation and solve this problem.
    10·1 answer
  • In a class of 300 students ,20% are girls how many boys are there?
    8·2 answers
  • Both the domain and range of the graph shown above is all real numbers. <br><br> true or false
    11·1 answer
  • PLEASE HELP ME (GIVING BRANLEST)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!