Write two equations that represent the graph shown below- one equation using sine, and one equation using cosine.
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Two equations that represent the graph shown below as sine function y = 0.909x−3 and as cosine function y = −0.416x −3.
What is sine function?The sine graph or sinusoidal graph is an up-down graph and repeats every 360 degrees i.e. at 2π.
The general form of a cosine function is:
y = a cosb (θ±c) ± d
Here, amplitude, a is = 1
For b, period is = π
2π/b = π
b = 2
c = 0
vertical shift = D = -3
Putting the value into formula
y = 1 cos2 (θ + 0) - 3
y = 1 ×−0.416(θ + 0) - 3
y = −0.416θ−3
y = −0.416x −3 (cosine function)
y = 1 sin2 (θ + 0) - 3
y = 1 ×0.909(θ + 0) - 3
y = 0.909θ−3
y = 0.909x−3 (sine function)
Thus, two equations that represent the graph shown below as sine function y = 0.909x−3 and as cosine function y = −0.416x −3.
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Related Questions
Can some one help please
Answers
Answer:
y=7x+6
Step-by-step explanation:
hope i helped
If using the method of completing the square to solve the quadratic equation x^2-20x+33=0x
2
−20x+33=0, which number would have to be added to "complete the square"?
Answers
Answer:
The complete square of the given quadratic equation
( x - 10)² = 67
The solution of the quadratic equation
x = 18.2 and x = 1.8
Step-by-step explanation:
Step(i):-
Given that the quadratic equation
x² - 20 x +33 =0
x² - 2(10) x +(10)²-(10)²+ 33 =0
By using (a-b)² = a² -2ab + b²
( x - 10)² -100 +33 =0
( x - 10)² - 67 =0
( x - 10)² = 67
Step(ii):-
The complete square (x - 10)² = 67
x -10 = ±√67
x -10 = ± 8.1853
x -10 = 8.2 and x -10 = -8.2
x = 10+8.2 and x = 10 -8.2
x = 18.2 and x = 1.8
use greatest common factor and distributive property to write equivalent expressions 5x+20y
Answers
Answer:
I think it is 5 if I did it right
S
One coffee and two slices of cake cost 8 dollars in total. Two coffees and 3 slices of cake cost 14 dollars in total. What are the individual prices of one coffee and of one slice of cake?
Answers
Answer:
Step-by-step explanation:
coffee=c
cakes=d
c+2d=8
2c+3d=14
c=8-2d
2(8-2d)+3d=14
16-4d+3d=14
-d=-2
d=2
c+4=8
c=4
coffee=4 dollars each
cakes=2 dollars each
The price of coffee is $4 and price of slice of cake is $2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
One coffee and two slices of cake cost 8 dollars in total.
Two coffees and 3 slices of cake cost 14 dollars in total.
let the price of coffees sold be x
let the price of slices of cake sold be y
Then, the system of equations are
x+ 2y = 8
2x+ 3y = 14
On solving
2(8- 2y)+ 3y= 14
16 - 4y + 3y= 14
-y= -2
y= 2
and, x = 8- 2(2)= 8- 4= 4
Hence, price of coffee is $4 and price of slice of cake is $2.
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A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?
Answers
Step-by-step explanation:
2/5 x 1/3 = 2/15 inches squared
So hard. Dont reports I actually cant take the pictures off, I needed help with a question but they dont come off. Also what's the square root of 282.93?
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Answer:
whegvrjrbel)hbrbeueuejneje
A number line going from negative 3 to positive 3 in increments of 1.
Which statements are true? Check all that apply.
Negative 2.5 = negative 2 and one-half
–1.5 > –0.5
–0.5 < 0
–2.5 < –2
1 and one-half greater-than 1.5
Answers
Answer:
1., 3., and 4.
Step-by-step explanation:
It's C.
Or how other people say it,
3 or –2.5 < –2
El perímetro de un rectángulo es 36cm Uno de los lados es 6cm más que el otro lado ¿ Cual es el área del rectángulo?
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Find the missing part .
Answers
Solve the inequality.
20 + 8.1 > 28
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Answer:
You can't solve since there is no variables
The inequality from the question is true
help this makes no sense to me and its due in 1 day
Answers
First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.
RT=24
Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
The geometric mean of 32 and TS is 24, so set up equation.
2nd root or square root of 32*TS=24
32*TS=576
TS=18
QS=18+32=50
I hope this answer helped if you have any questions feel free to ask me in the comments.
compare the rates to find which is greater.
50 envelopes for $2.49 or
90 envelopes for $5.50
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$2.49/50 = 0.0498 cents per envelope
$5.50/90 = 0.0611 cents per envelope.
So the 90 for $5.50 costs more per envelope than the 50 for $2.49
Last year there were 80 members in chess club this year membership decreased by 20% how many members are there? Sorry
Answers
Answer:64 people
Step-by-step explanation: total no. of members=80
%decrease=20
20/100 x 80=16(people that left)
people rem.=80-16
Line G has a slope of -2/3. Line age is perpendicular to G. What is the slope of line h?
Answers
Perpendicular lines has negative reciprocal slopes.
"Negative reciprocal" is just a fancy way of
saying flip the fraction and change the sign.
So flipping the fraction gives us -3/2 and change the sign to get +3/2.
I don't remember how to do this question,
also I'm really sorry I keep posting alot of math stuff today, I just have a lot of math that needs to get done today, I'd rather not spend my whole weekend doing school work LOL
Answers
Answer:
x and p equal 92 and y equals 88
Find the slope of a line that passes through the points (-1, -3) and (2, -2).
Answers
Answer:
Step-by-step explanation:
(-2 + 3)/(2 + 1) = 1/3 is the slope
verify that the segments are parallel
Answers
Answer:
We know that lines AB and CD are parallel because if you expand them, we know they will never touch.
Step-by-step explanation:
can anyone help me create 3 Algebra Word Problems
Answers
2. Inside a stable there are h horses. 6 of them are taken out of the yard to exercise. How many are left in the stable.
3. There are b people on a bus. At the next stop, 7 get off and 10 more get on. How many people are on the bus now?
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
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Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain? 132.12 meters
Answers
Answer:
367meters
Step-by-step explanation:
220.2 = 0.6 * h
220.2/0.6 = 0.6 * h / 0.6
367 = h
367 meters
Name the triangle
Please help fast
Answers
Answer:
B. Equilateral
It is an equilateral triangle
As we can see all sides are equal.
Equilateral Triangle
Step-by-step explanation:
please help me on this will give you brainliest
Answers
Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The are of the resulting rectangle is 90ft^2. Find the original area of the square.
Answers
Answer:
64 ft^2
Step-by-step explanation:
(x+7)(x-2)=90
x^2-2x+7x-14=90
x^2+5x-104=0
factor
(x+13)(x-8)=0
x=-13
x=8 ft original square side
area=8x8=64
Answer:
64 ft^2
Step-by-step explanation:
PLEASE EXPLAIN HOW U DID IT, giving brainliest
Answers
9514 1404 393
Answer:
(b) 30
Step-by-step explanation:
The standard form of a quadratic is ...
y = ax^2 +bx +c
For such a function, the axis of symmetry is ...
x = -b/(2a)
Your quadratic function has a=-5, b=+300, so the axis of symmetry is ...
x = -300/(2(-5) = 30
The peak of the curve is on the axis of symmetry. So, profit is maximized when 30 items are produced.
_____
Of course, a graphing calculator can display the maximum of the function easily.
Subtract the following polynomials
1. (q² + 8) - (4q² + 1)
2. (3x + 7x² - 6) - (5x² + x + 9)
Answers
Answer:
1. (q² + 8) - (4q² + 1)
Simplify each term.
q²+8−4q²−1
Simplify by adding terms.
−3q²+7
2. (3x + 7x² - 6) - (5x² + x + 9)
Simplify each term.
3x+7x²−6−5x²−x−9
Simplify by adding terms.
Tap for more steps...
2x²+2x−15
Step-by-step explanation:
= q^2 -4q^2 + 8 -1
= 3q^2 + 7
Question 2
=7x^2 - 5x^2 + 3x - x -6 - 9
=2x^2 + 2x - 15
If Danielle can spend no more than $75 on clothes, and wants a pair of shoes for $40 and will spend the rest of the money on $12 scarves, what is her rate of change ?
Answers
Answer:
$6
Step-by-step explanation:
$75 - $40 = $30
With $30, the maximum number of scarves you can get is 2.
$30 - $24 = $6
Hope that helps!
Step-by-step explanation:
$6
the max number of scarves she can get is 2
hope this helps
Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets.
Answers
Answer:
x + 9.50 = 35
Step-by-step explanation:
The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,
We already know the amount they spent on popcorn.
X, the amount they spent on tickets + 9.50=35
Please help!!
Given f(x) = 3x-4 and g(x) = 2x+6 , find (fog)(x)
Answers
Answer:
[tex](f\circ g)(x)=6x+14[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex]=f(g(x))[/tex]
Then by substitution:
[tex]=f(2x+6)=3(2x+6)-4[/tex]
Evaluate:
[tex]=f(g(x))=6x+18-4=6x+14[/tex]
Therefore:
[tex](f\circ g)(x)=6x+14[/tex]
122 cats
Mrs. Roberts is 3 times as old as her son. The sum of their ages is 48 years.
How old was Mrs. Roberts when her son was born?
Answers
Answer:
24
Step-by-step explanation:
To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.
Let's turn the two sentences about their ages into equations:
m=Mrs. Roberts and 3s= three times as old as her son
m=3s
m+s is the sum of their ages
m+s=48
Now substitute the first equation into the second one:
m+s=48
(3s)+s=48
4s=48
s=12
The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:
m=3s
m=3(12)
m=36
Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:
36−12=24
Mrs. Roberts was 24 when her son was born.
credit to CountryGirl on Socratic Q&A
solve for x or find x
Answers
Answer:
x = 18
Step-by-step explanation:
diagonals bisect each other so 12x = 216
x = 216/12
x = 18