Write the equation of a sine or cosine function to describe the graph.
Answer:
Step-by-step explanation:
Average = (Ymax + Ymin)/2 = (4 + (- 2))/ 2 = 1
Amplitude = (Ymax - Ymin)/2 = (4 - (- 2))/ 2 = 3
y is at a maximum when x = 0, so cosine function is easy.
one cycle (2π radians) is completed in 2π/3
therefore
y = 1 + 3cos(2π(x /(2π/3))
y = 1 + 3cos(3x)
Answer(s):
[tex]\displaystyle y = 3sin\:(3x + \frac{\pi}{2}) + 1 \\ y = 3cos\:3x + 1[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{6}} \hookrightarrow \frac{-\frac{\pi}{2}}{3} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 3[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 3[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:3x + 1,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{6}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{6}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{6}} = \frac{-\frac{\pi}{2}}{3}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(3x + \frac{\pi}{2}) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{2}{9}\pi, -\frac{1}{2}],[/tex]from there to [tex]\displaystyle [\frac{4}{9}\pi, -\frac{1}{2}],[/tex]they are obviously [tex]\displaystyle \frac{2}{3}\pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \frac{2}{3}\pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Please answer and show your work
Answer:
check online for more information
what if 5476 divided by 74? i need the working out too please!
I hope that the attachment helps you..
The total cost for tuition plus room and board at State University is $2737. Tuition costs $787 more than room and board. What is the tuition fee?
What is the cost of tuition?
if someone helps me with dis ill def give em brainliest
Answer:
with what?
Step-by-step explanation:
I think you forgot to attach something.
Which equation has no solution?
A)
2x=5
B)
X + 12 = 3x - 2
C)
3x + 4 = 3x + 3
D)
- 2x + 5 = -2x + 5
If you subtract 3x from both sides of that equation, you'll go from
3x+4 = 3x+3
to
4 = 3
which is a false statement. No matter what you plug in for x, the original equation is always false as well. This is why it has no solutions.
Select the geometric figure that correctly matches with the following formula:
A=LW
Answer:
Square because the area of a square is length times width.
The formula matches with square.
What is Geometry?A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids
As,
First, Area of circle = πr²
Hence, it is not possible.
Second, square
Area of square = l * b = LW
Similarly for trapezium
Area= 1/2( a+ b)* h
Hence, the formula matches with square figure.
Learn more about geometry here:
https://brainly.com/question/12168921
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I NEED HELP !!!! PLZ HELP ME UNDERSTAND THIS
Answer:
Step-by-step explanation:
Josh volunteers at a library. One weekend, he put 234 returned books back on the shelves. Of those books 2/3 were hardcover books and the rest were paperback books. How many paperback books did Josh put back on the shelves?
Answer: 78 paperback books.
Step-by-step explanation:
1. Since 2/3 of the books are hardcover books, then 1/3 of the books are paperback books.
2. 234/3 = 78 books.
Answer:
78 paperback books
Step-by-step explanation:
234 x (2/3) = 156
234 - 156 = 78
Find a 33 matrix Sij so that the product SijA is the same as the matrix A after applying the row operation Ri $ Rj .
Answer:
We want the ith row of the new matrix SijA to be the old jth row of A, so we need the ith row of Sij to extract the jth entry of column of A.
This mean the ith row of Sij must have a 1 in the jth entry and 0's everywhere else.
Similarly, the jth row of Sij must have a 1 in the ith entry and 0's everywhere else.
in the piecewise notation this is
(Sij)kl ={1 if k=i and l=j, 1 if k=k and l=i; 1 if k=l but k#i,j, 0 otherwise
Step-by-step explanation:
how would someone simplify 2√12xy^2
What is the answer to, one half of 9?
What is the answer for my question
33.22 x 34.98 =
Answer:
1162.0356
Step-by-step explanation:
7+q+4=4+7+q
What property?
Answer:
Commutative Property of Addition
Step-by-step explanation:
This is because the commutative property of addition and multiplication is
[tex]a+b=b+a\\a*b=b*a[/tex]
and as an example
[tex]5+9=14 \\9+5=14\\10*6=60\\6*10=60[/tex]
Sara earns $12.75 per hour at her job. She works 18 hours each week. While at work, she parks her car in a garage that charges $10.50 every 3 hours.
After paying for parking, how much does Sara earn each week?
A.$198.00
B.$229.50
C.$166.50
D.$261.00
9514 1404 393
Answer:
C. $166.50
Step-by-step explanation:
The rate Sara pays for parking is ...
$10.50/(3 hours) = $3.50 /hour
So, Sara's net pay, after paying for parking, is ...
$12.75/hour - 3.50/hour = $9.25 /hour
If she works 18 hours per week, her net earnings are ...
(18 h)($9.25/h) = $166.50 . . . . weekly earnings
Use the figure below to find the values of x and y
Answer:
x=68 and y = 112
Step-by-step explanation:
angles of a triangle must equal 180, so
52°+60°+x°=180
112+x=180 <-- subtract 112 to get x on one side.
x=68
To solve for y, a straight line = 180 so
68+y=180 --> just subtract 180-68
y=112
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. Round to four decimal places. A. 0.4332 B. 0.0668 C. 0.5000 D. 0.9332
10% of $70 = what is the answer i do not now it.
Answer:
10% 0f 70 is 7
Step-by-step explanation:
70÷10=7
10%=7
pls help me right now!
and pls show your solution properly
I'm not good in math ok bye
A) Atra = 0.5 ( 7 + 3 ) x 3 = 15 cm^2
B) Atri1 = 1/2 x 3 x 2 = 3 cm^2
Atri2 = 1/2 x 3 x 2 = 3 cm^2
Arec = 3 x 3 = 9 cm^2
Atra = Atri1 + Atri2 + Arec = 3 + 3 + 9 = 15 cm^2
ok done. Thank to me :>
A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 13 more students than her second class. In total, she teaches 57
students. The equation 2x + x + (x +13) = 57 represents this scenario, where x is the number of students
in her second class.
How many students are in her second class?
Number
students are in her second class.
Answer:
11
Step-by-step explanation:
2x + x + x + 13 = 57
4x + 13 = 57
4x = 57-13
4x = 44
44/4 = 11
x = 11
Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?
Answer: 63 votes
Step-by-step explanation:
Simply multiply 81 by 7/9 to get the answer, 63 votes.
Hope it helps :) and let me know if you want me to elaborate.
63
Step-by-step explanation:
(7/9) x 81 = 63
Find the 20 th term of the given sequence 2, 5, 8, 11,..
Answer:
14,17, 20
Step-by-step explanation:
Kindly see the picture I have solved it as required
Saima mixes jam, sugar and soft cheese in the ratio 4:1:16 She uses 32 oz of soft cheese. Saima knows that 1 oz is 28.3 grams.
How many grams of jam does Saima need?
Step-by-step explanation:
jam : sugar : cheese = 4 : 1 : 16
that means she uses 4 times more jam than sugar, and 16 times more cheese than sugar (and therefore 4 times more cheese than jam).
so, now we know, she uses 32 oz of cheese.
that is (as we just determined) 4 times more than jam.
therefore, she uses
32/4 = 8 oz of jam.
1 oz = 28.3 grams
so, 8 oz are
8 × 28.3 = 226.4 grams
I=8x4-3x3+5x2+1000x , determine la Utilidad Marginal evaluándola para 20 unidades.
Answer:
5
Step-by-step explanation:
yeah idek what you said I just need the points please write in English next time but I see something a about marginal
Find complex numbers z=(x,y) such that
[tex]z ^{2} = - 5 - 12i[/tex]
Answer:
I don't know..,.............,,.,.......,
Hello everybody! Can anybody help me out with this fairly simple multiple choice algebra problem? Thanks!
Answer:
l = P -2w
________ D is the correct choice
2
Skip count by 100 starting with 95.
95, ____, ____, ____, ____
Answer:
195, 295, 395, 495?
Step-by-step explanation:
what is the slope of the line on the graph
Answer:
(6,0) (-6,0)
Step-by-step explanation:
sorry kung mali pero sana makahelp
Show all work to identify the asymptotes and zero of the function f of x equals 3 x over quantity x squared minus 9.
Answer:
Asymptotes: x = -3, x = 3, y = 0Step-by-step explanation:
Given function:
f(x) = 3x / (x² - 9)Zero of the function:
f(x) = 03x / (x² - 9) = 0x = 0, x ≠ -3; 3Vertical asymptotes:
x² - 9 = 0x² = 9x = √9x = -3; x = 3Horizontal asymptotes:
The horizontal asymptote is y = 0, since the degree of the numerator is 1, while the degree of the denominator is 2.The graph with asymptotes and zero is attached
how can you determine whether two systems of equations are equivalent?
Two systems of equations are equivalent if they have they have the same solution/solutions.