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
Gwar [14]
3 years ago
8

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

Mathematics
1 answer:
Musya8 [376]3 years ago
5 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 1/3x+5 = Solution
You might be interested in
Find three consecutive integers whose sum is 57????
Setler79 [48]

Answer:18 19 20

Step-by-step explanation:"Consecutive"  means that the integers will follow each other in value, for example:  1, 2, 3 or 4, 5, 6.  Also, no decimals are needed here because "integers" are whole, counting numbers. Here is the set up:   Let x= the first integer     Then    X+1= 2nd consecutive integer   and x+2= 3rd  .  

Suppose that x=1   x+1= 1+1=2   and x+2=1+2=3   However, you need specific consecutive numbers whose sum is 57.  Remember that sum means to add:

x+  (x+1)  + (x+2) = 57                 Addition of all 3 consecutive numbers   Now solve for x

                                                   and substitute into each part to come up with the three integers:

3x + 3= 57        3x=54               x=54/3  =  18            x=18,   x+1= 18+1=19      x+2=18+2=20

Check your answer:  18+19+20=57                 57=57  Check

7 0
3 years ago
Simplify the expression.<br> (4a- 80 - 4a2) + (7a3 - 7 - 6a)
allsm [11]

Answer:

the answer should be 7a^3-4a^2-2a-87

3 0
3 years ago
Plz Help!!!!!!!!!!!!!!!!!1
SashulF [63]
B- bc parentheses () = are used to tell one that there’s no endpoint and brackets [] are used to indicate an endpoint :)))
8 0
2 years ago
Help out <br><br><br><br><br> Aaaaaaaaaaaa
diamong [38]

Answer:

y=\frac{6}{5}x-8

Step-by-step explanation:

we know the slope (or m in y=mx+b) is 6/5 we just need to solve for b

we will do this by plugging in the required coordinates

-2=(6/5)*5+b

-2=6+b

-8=b

put it all together

7 0
2 years ago
Read 2 more answers
Ken painted 14 meters of fencing in 1 hour. How many centimeters of fencing can he paint in 45 minutes?
Andrew [12]

Answer:

.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • The spending habit that will lead too the worst financial situation is to?
    15·1 answer
  • Help me asap i need the correct answer!!!!
    12·1 answer
  • Which statement best describes the area of Triangle ABC shown below?
    13·1 answer
  • Randall wants to mix 42 lbs of nuts worth $2 per lb with some nuts worth $4 per pound to make a mixture worth $4 per lb. how man
    13·1 answer
  • How many sunflower seeds to get 1000 calories
    14·1 answer
  • The perimeter of a rectangle is 62 cm. The length of the rectangle is 7 more than 2 times the width. Find the dimensions.
    11·1 answer
  • Find the first 3 terms of arithmetic sequence if t5=-154 and t9=-274. find t1, t2, t3
    11·1 answer
  • A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 p
    5·1 answer
  • Answer this question to chick you knowledge
    13·1 answer
  • I suck at these so like…
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!