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
Lynna [10]
11 months ago
9

Write a cosine function for the graph.

Mathematics
1 answer:
Alik [6]11 months ago
6 0

The correct option A: y = -4 cos Ф/4, is the cosine function for the graph.

<h3>Define the term cosine function?</h3>

The ratio between the angle's adjacent leg and the hypotenuse when it is regarded as a leg of a right triangle is a trigonometric function for an acute angle.

  • One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
  1. Y=cos(x) has its greatest value when x = 2nπ, wherein n is an integer.
  2. Y=cos(x) has a lowest value for x=  π+2nπ , wherein n is an integer.

For the given graph,

cosine function:  y = -4 cos Ф/4.

In which, -4 is the amplitude (maximum displacement from the x axis).

Negative sign shows, the displacement is taken along negative y-axis.

And,  Ф/4 is the phase angle.

Thus, the cosine function for the graph is  y = -4 cos Ф/4.

To know more about the cosine function, here

brainly.com/question/27587720

#SPJ1

You might be interested in
Help please!!! really really important​
Serga [27]

Answer:

42. Graph a

43. Not possible.

44. Graph e

45. Graph c

46. Graph b.

Step-by-step explanation:

42. 7x + 13 ≥ 55

⇒ x ≥ 6

So, it matches graph a.

43. 12x - 8 > 4(3x + 2)

⇒ 12x - 8 > 12x + 8

Hence, d. not possible.

44. \frac{x}{- 4} - 3 < - 1

⇒ \frac{x}{- 4} < 2

⇒ x > - 8

Hence, graph e matches.

45. - 4(- 2x + 3) ≤ 5 + 8x

⇒ 8x - 12 ≤ 5 + 8x

⇒ - 12 ≤ 5

This is true for all values of x, hence that matches graph c.

46. - 4(x + 3) > 8(x + 3)

⇒ - 4x - 12 > 8x + 24

⇒ 12x < - 36

⇒ x < - 3

Hence, graph b matches the situation. (Answer)

4 0
3 years ago
Can anyone tell me how you could describe this answer to the equation?
DanielleElmas [232]

The end behavior of the given polynomial is that as x → -∞ or  x → ∞, then, f(x) → 5

<h3>What is the end behavior of the Polynomial?</h3>

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get; f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or  x → ∞, then, f(x) → 5

Read more about Polynomial End behavior at; brainly.com/question/20347699

#SPJ1

8 0
1 year ago
Adam uses coconut milk for the dessert.
elena-14-01-66 [18.8K]
Do you mean 3.14 for pi or just 3?

5 0
3 years ago
Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
creativ13 [48]

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

m = 4 = slope

b = 0 = y intercept

The y intercept is the value of y when x = 0.

--------

Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

----------

A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

7 0
3 years ago
Emily's meal coats $32.75 and Darren's meal costs $39.88. Emily treats Darren by paying for both meals and leaving an 18% tip. W
Ivahew [28]
45.827 or 45.83 dollars...............
8 0
2 years ago
Read 2 more answers
Other questions:
  • F(13)=45,000(0.9)^13
    8·1 answer
  • I WILL UPVOTE ALL ANSWERS
    13·1 answer
  • Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?
    10·2 answers
  • I need help with this math problem. Check images.
    10·2 answers
  • This is urgent plz question is below
    11·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
  • Question 2
    14·1 answer
  • Triangles-- find the M&lt;ECD if ​ABC angels are 31 degress.<br>picture added​
    9·1 answer
  • Help!!!!!!!!!!!!!!!!!
    10·1 answer
  • 7.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!