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
Misha Larkins [42]
3 years ago
7

The graph of a sinusoidal function has a minimum point at (0,3)(0,3) and then intersects its midline at (5π,5)

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer: F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Step-by-step explanation:

The information that we have is that:

We have a minimum at (0, 3)

the midline is at (5*pi, 5)

This is a sinusoidal function, so we can write one generic one as:

F(x) = A*sin(c*x + p) + B.

where A and B are constants, c is the frequency and p is a phase

First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi

We know that this minimum is at x = 0.

sin(c*0 + p) = -1

Then p = 3/2*pi.

So our function is:

F(x) = A*sin(c*x  +(3/2)*pi) + B.

Now, we know that F(0) = 3, so:

3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.

now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.

then:

c*5*pi + (3/2)*pi = 2*pi

c*5 + 3/2 = 2

c*5 = 2 - 3/2 = 1/2

C = 1/2*5 = 1/10

So our function is

F(x) = A*sin(x/10  +(3/2)*pi) + B

and we know that when x = 5*pi, F(5*pi) = 5, so:

5 = F(x) = A*sin(5*pi/10  +(3/2)*pi) + B

5 = B

and we aready knew that:

- A + B = 3

-A + 5 = 3

A = 5 - 3 = 2

So our equation is:

F(x) = 2*sin(x/10  +(3/2)*pi) + 5

You might be interested in
If k(x) = 5x - 6, which<br> expression is equivalent to (k + k)(4)?
kogti [31]
28! hope this helps, you just plug in 4 for x, and then multiply by two.
3 0
3 years ago
Read 2 more answers
Sampson solves the inequality as shown below.
astraxan [27]

Answer:

subtract 3 from both sides

Step-by-step explanation:

7 0
3 years ago
If a 25 ft rope is cut into two sections with one section 4 times as long as the other section, how long is the shorter piece?
DaniilM [7]
X = short section of rope
4x = longer section of rope

x + 4x = 25
5x = 25
x = 5

…or in other words the shorter piece of rope is 5 feet long
7 0
3 years ago
Wht is 39% of 1,200? I can't understand it
Gennadij [26K]
Something percent of a number must be smaller than the number. 
And also, 39% of a number is equal to 39/100 multiplied by the number.

Thus:
39/100 * 1200
39/1 * 12
468
8 0
3 years ago
Read 2 more answers
A credit card had an APR of 17.84% all of last year and compounded interest daily. What was the credit card's effective interest
Andreas93 [3]
The solution to the problem is as follows:

<span>((1+.1784/365)^365) - 1 =.1953=19.53%
</span>
Therefore, best and most correct answer among the choices provided by your question is the fourth choice or letter D. 19.53%

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Easy multiplication question ;)
    11·2 answers
  • Help me please please
    11·1 answer
  • An above ground pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet. if the pool is filled with w
    14·1 answer
  • A six-sided number cube is tossed and a coin is flipped.
    9·1 answer
  • One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd
    15·2 answers
  • Help Please. Need answer immediately
    6·2 answers
  • A fair coin is flipped 14 times. Find the probability that more than 4 of the flips turn up tails.
    15·1 answer
  • 27 : 18 = 13 : x slove for x
    14·1 answer
  • Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, rec
    8·1 answer
  • The midpoint of AB is M(−3,2). If the coordinates of A are−7,1), what are the coordinates of B?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!