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
kicyunya [14]
2 years ago
8

Questions Below. Would Appreciate Help!

Mathematics
1 answer:
kherson [118]2 years ago
8 0

Answer:

The function that could be the function described is;

f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10

Step-by-step explanation:

The given parameters of the cosine function are;

The period of the cosine function = 3

The maximum value of the cosine function = 20

The minimum value of the cosine function = 0

The general form of the cosine function is presented as follows;

y = A·cos(ω·x - ∅) + k

Where;

\left | A \right | = The amplitude = Constant

The period, T = 2·π/ω

The phase shift, = ∅/ω

k = The vertical translation = Constant

Therefore, by comparison, we have;

T = 3 = 2·π/ω

∴ ω = 2·π/3

The range of value of the cosine of an angle are;

-1 ≤ cos(θ) ≤ 1

Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;

y = A × cos(ω·x - ∅) + k

y = 10 × 1 + 10 = 20 = The maximum value of the function

Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;

y = 10 × -1 + 10 = 0 = The minimum value of the function

Given that the function is a reflection of the parent function, we can have;

A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;

y = -10 × -1 + 10 = 20 = The maximum value of the function

Similarly, for cos(ω·x - ∅) = 1 we get;

y = -10 × 1 + 10 = 0 = The minimum value of the function

Therefore, the likely values of the function are therefore;

A = -10, k = 10

The function is therefore presented as follows;

y = -10 × cos(2·π/3·x) + 10

You might be interested in
Will mark as brainliest if correct
sergeinik [125]

Answer:

A, B and F.

Step-by-step explanation:

The bill total  + 20% of the bill total must be less than or equal to $60.

So we have the inequality:

x + 0.20x ≤ 60

1.20x ≤ 60

x ≤ 60/1.20

x ≤ 50 dollars.

6 0
2 years ago
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
koban [17]

Answer:

Look below

Step-by-step explanation:

Ok Just Plug it in

For the chart

1:8

2:9

3:10

4:11

And then graph on desmos

You should the answer

Sorry if I am wrong.

7 0
3 years ago
Read 2 more answers
Which of the following statement must be true?I WILL MARK THE BRAINIEST
Anettt [7]

Answer:

d) XY > RS

Step-by-step explanation:

When comparing triangles, the angle opposite to the side in question determines the length. In this case 99 is greater than 75. Since XY is the side opposite to 99, it is the larger side

5 0
2 years ago
If ∠ABE = 100° and ∠EDC = 100°, are the two triangles, ΔABE and ΔEDC similar? If so, by what criterion?
MAVERICK [17]
No
because 2 similar triangles have to meet one of the following conditions:
1. all sides are equal
2. 2 pair of equal sides & the angles between these sides are equal
7 0
3 years ago
Read 2 more answers
Round 9.50 to the nearest whole number
vova2212 [387]
It would be 10 bc ten is the next number i guess
7 0
2 years ago
Read 2 more answers
Other questions:
  • Drag each expression to show whether it is equivalent to 54x + 18, 18(3x – 1), or (6 • 9x) + (6 • 1).
    12·2 answers
  • Solve the simultaneous equation: <br> 3x+y=-4<br> 3x-4y=6
    11·1 answer
  • If $85 is put into an account that gets 8.5% and I add $15.00 per year, how much will I have in 8 years
    5·1 answer
  • 2xy + 5 - 8 +3xy -y +7 + 3 y= ___ xy -8 ____ + ___ y +___ <br> I don't understand help please :*
    13·1 answer
  • Which angle is coterminal to 105 degrees? Please help
    12·1 answer
  • Can someone please help me with #18?I would really appreciate it.
    5·1 answer
  • Can anybody help me plz I really need help !!!!
    12·1 answer
  • A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60
    12·2 answers
  • I uuh need some help
    9·2 answers
  • Evaluate. (-5)² A. -52 B. -25 C. -10 D. 10 E. 25​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!