The function below was generated using an equation of the form f(x) = asin(bx – c). On a coordinate plane, a function has a maximum of 3 and minimum of negative 3. It completes one period at pi. It increases through the y-axis at (0, 0). Find a, b, and c for the function such that the graph of f matches the figure. a = 3, b = –2, c = π a = 2, b = 3, c = –π a = 3, b = 2, c = –π a = 2, b = -3, c = π
Answers
Answer: A
a = 3, b = –2, c = π
Step-by-step explanation:
The values of a, b and c for the function such that the graph of f matches the figure are;
a = 3, b = -2, c = π
We are given the equation as;
f(x) = a sin(bx - c)
Now, the general form of equation of a sinusoidal wave is;
y = Asin(ωt + ϕ)
Where;
A is the amplitude of the wave
ω is the wave's angular frequency,
ϕ is the phase of the sine wave in radians.
Comparing that general equation to the one we are given, we have;
a as the amplitude
c as the phase
Now, from the attached image of the graph, the amplitude it the peak of the wave which is 3.
Thus; a = 3
Now, the phase angle from the graph which is the interval for each period of motion of the wave is seen to be π. Thus, c = π
Looking at the options, the only one that has the correct value of a and c is option A.
Read more about sinusoidal waves curve at; https://brainly.com/question/20431795
Related Questions
Find the square root.
±√1.69 = ____ and ____
Answers
Answer:
±√1.69 = +1.3 and -1.3Step-by-step explanation:
√169 = 13
square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)
so √1.69 = 1.3
Which table shows a function that is increasing only over the interval (-2, 1), and nowhere else?
X
-3
-2
-1
0
1
2
f(x)
-6
43
-1
1
3
6
х
-3
-2
1-1
0
1
2
f(x)
-2
14
-1
1
4
3
х
L3
-2
-1
0
1
2
f(x)
-3
--5
--7
-6
1
-1
O
х
4-3
-2
-1
0
1
2
f(x)
5
7
1
0
-4
-2
Answers
Answer:
B
Step-by-step explanation:
8. PLS ANSWER!!!!
and show work
Answers
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.
Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.
Answers
Answer:
C = t * 3
Step-by-step explanation:
Given m||n, find the value of x.
Answers
Answer:
27 degrees
Step-by-step explanation:
the 27 degrees
Answer:
27°
Step-by-step explanation:
X and 27° are both alternate interior angles (on opposite sides of the transversal, between the two parallel lines), which makes them congruent! So they are both 27°.
Can somebody please help?
Answers
Answer: C
Step-by-step explanation: I could tell just by looking at the first two, they’re negative
Find the slope of AB through points A(1,7) and B(-1,4). m of AB=
Answers
Hi there & welcome to brainly !
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \frac{3}{2}}}}} [/tex]
Step-by-step explanation:
Given :A ( 1 , 7 ) , B ( - 1 , 4 )
To find :Slope = ?
Solution :Let A ( 1 , 7 ) ↦ ( x₁ , y₁ )
Let B ( - 1 , 4 ) ↦ ( x₂ , y₂ )
Finding the slope :
[tex] \boxed{ \tt{slope \: ( \: m)= \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \sf{↦ \: slope = \frac{4 - 7}{ - 1 - 1}} [/tex]
[tex] \sf{↦ \: slope = \frac{ - 3}{ - 2}} [/tex]
[tex] \sf{↦ \: slope = \boxed{ \sf{ \frac{3}{2} }}}[/tex]
And we're done !
Hope I helped!
Best regards! :D
~TheAnimeGirl
3/2 x -9 = 0 hiiiiiiiii please help :)
Answers
Answer:
x=6
Step-by-step explanation:
3/2x-9+9=0+9
3/2x=9
2. 3/2x=9. 2
3x=18
3x/3=18/3
x=6
Answer:
Hewo There!!
_______________________
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 6
______________________
“How wonderful it is that nobody need wait a single moment before starting to improve the world.” – Anne Frank
______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?
Answers
Answer:
The answer is they are all correct
Step-by-step explanation:
5 +3(1) = 8 = 3(1)+5
5 +3(2) = 11 = 3(2)+5
5 +3(3) = 14 = 3(3)+5
5 +3(4) = 17 = 3(4)+5
5 +3(5) = 20 = 3(5)+5
Four-ninths of the students at Edison Junior High School walk to school. If 248 students walk to school, how many students attend Edison Junior High School?
Please put a numerical explantion
Answers
9514 1404 393
Answer:
558
Step-by-step explanation:
Let p represent the student population at Edison Jr High. Then we know ...
(4/9)p = 248 . . . . . 248 students is 4/9 of the student population
p = 248(9/4) = 558 . . . multiply the equation by 9/4
558 students attend Edison Jr. High.
Factor and find all zeros
f (x) = x 4 + 5x 3 + 4x 2 + 20x
Answers
Answer:x(x+5)(x2+4)
Step-by-step explanation:
will mark brainlyest 10/19
Answers
Answer:
answer is 5
Step-by-step explanation:
3/4 change 3/4 to a decimal show work
Answers
Answer:
0.75
Step-by-step explanation:
You just need to convert 3/4 into a decimal.
For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.
3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,
3/4 = 0.75
I need help3
Find the unit rate:
150 students for 5 classes. How many students per class?
Answers
Answer:
30
Step-by-step explanation:
150 divided by 5 is 30 i hope this helps
Answer:
The unit rate would be 30 students per class.
Step-by-step explanation: One way to find the unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!
What is the least common multiple (LCM) of 5 and 20?
Answers
Answer:
5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
When you make a list it will look something like this::
5-5,10,15,20
20-20
2x + 3 = 5x - 2
4x + 1 = 10x + 3
5x - 5 = 2x + 10
4(x + 5) – 10 = 2
2x + 3 – 4x = x + 6
3(x +5) – 2 = 22
Answers
Answer:
x3r9
Step-by-step explanation:
2 (k + 2) = 8k - 5 - 3k
Answers
Answer:
k=3
Step-by-step explanation:
Answer:k=3
Step-by-step explanation:
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?
Answers
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
WILL GIVE BRAINLIEST
Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2
Answers
Answer:
y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
Step-by-step explanation
please give me brainliest hope it helps
A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost price = $5 per T - shirt
Markup = 150% or cost price
Every month which shirt doesn't sell, selling price drops by 25%
Selling price of Tshirt = (150% * $5) = $7.5
Price after 1 month = (100% - 25%) * $7.5 = $5.625
Hence, the equation could be expressed as :
Price after one month:
(1.5 * $5) - 0.75 * (1.5 * $5)
7.5 - 0.75(7.5)
Answer:
($5)(2.50) – ($5)(2.50)(0.25)
Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G
Answers
Answer:
B: A reflection across line m
Step-by-step explanation:
Answer:
A reflection across line m
Step-by-step explanation:
The answer above is correct.
Find the missing angle measurements?
Answers
Answer:
angle 1=41°
Angle 2=85°
Angle 3=95°
Angle 4 =85°
Angle 5=36°
Angle 6=49°
Angle 7=106°
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
48 yd : 56 yd
Answers
Answer:
4/6
Step-by-step explanation:
Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting.
y = - 3x + 5
9x + 3y = 2
Answers
Answer:
parallel
Step-by-step explanation:
if you convert the second equation it will be y=-3x+2/3, meaning they have the same slope making them parallel
in a sequence of numbers, a3=18, a4=14, a5=10, a6=6. Based on this information, which equation can be used to find the nth term in the sequence , an?
Answers
Answer:
i got an=-4+22 not thats not one of the answer choices..
Step-by-step explanation:
Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour
Answers
Answer:
30 pages per hour
Step-by-step explanation:
Leo can read 10 pages in 20 minutes.
60 minutes in a hour
20 x 3 = 60
10 x 3 = 30
Complete the recursive formula of the arithmetic sequence –3,-1,1,3,....
Answers
Answer:
b(1)=-3
b(n)=b(n−1)+2
Step-by-step explanation:
Given the sequence −3,−1,1,3,...
We can infer that the first number of the sequence is -3, and the difference is +2
b(1)=first number of the sequence
b(n)=b(n−1) diffrence
If we fill this in, we get:
b(1)=-3
b(n)=b(n−1)+2
Write the inequality. Lawyers work up to 80 hours a week. (Use x for your variable)
Answers
Write the equation of the line that contains the given point and has the given slope.
(–8, –8), slope is 3
Answers
Answer:
y - 8 = 3(x - 8)
Step-by-step explanation:
Point-Slope Form: y + y₁ = m(x + x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step 1: Define
Point (-8, -8)
Slope m = 3
Step 2: Write in point-slope form
y - 8 = 3(x - 8)
-3+-4^2 divided by 2
Answers
Answer:
The answer to your question is -11
Answer:
-11
Step-by-step explanation:
Hope this helps! ^-^