SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =
Answers
Answer:
A general sinusoidal equation is:
y = A*sin(w*x + p) + M
where:
A is the amplitude
w is the angular frequency
p is the phase shift
M is the midline.
Now, we know that:
Amplitude must be 6, so A = 6
period is 2*pi/3
Remember that the frequency is the inverse of the period, then:
f = 1/T
f = 1/(2*pi/3) = 3/(2*pi)
And the angular frequency is 2*pi times the normal frequency, then:
w = 2*pi*f = 2*pi*(3/2*pi) = 3
w = 3
Here we not have information about the midline, so M = 0.
And we know that the phase shift is one unit to the left.
Remember horizontal translations:
for a function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, then the translation is to the left
if N < 0 , then the translation is to the right,
Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:
p = +1
Replacing these in the equation we get:
y = 6*sin(3*x + 1) + 0
y = 6*sin(3*x + 1)
Related Questions
Write this percentage as a fraction in its simplest form.
30%
Answers
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the orginal?
Original: 1 cm
Enlarged: 6 cm
Original: 7 cm
Enlarged: 42 cm
Original: 2.5 cm
Enlarged: 15 cm
Original: 5 cm
Enlarged: 30 cm
Answers
Answers:
Original = 1 ----> Enlarged = 6Original = 7 ----> Enlarged = 42Original = 2.5 ----> Enlarged = 15Original = 6 ----> Enlarged = 30It looks like you have the correct order. To get those answers above, we simply multiply the original length by the scale factor 6.
Example: 7*6 = 42
Please help me with this
Answers
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y
what is b
−2.9+ b/0.1 = − 39.9
Answers
Answer:
b = - 1.09
Step-by-step explanation:
- 2.9 + b ÷ 0.1 = - 39.9
- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1
- 2.9 + b = - 3.99
- 2.9 + 2.9 + b = - 3.99 + 2.9
b = - 1.09
Answer:
Exact form
b=-37/10
Decimal form
b=-3.7
Mixed Number form
b+-3 7/10
Step-by-step explanation:
-2.9+b/1/10+-39.9
-2.9+10b+-39.9
10b=-39.9+2.9
10b=-37
b=-37/10
Find the equation of a vertical line passing through the point B(2,-1)
Answers
Answer:
x = 2
Step-by-step explanation:
In a vertical line, all x-coordinates are the same.
x = 2
Answer:
x =2
Step-by-step explanation:
A vertical line means the x value remains constant
The x value is 2
x =2
Express 0.0003754 in scientific notation
Answers
Answer:
Scientific Notation: 3754 × [tex]10^{-4}[/tex]
Step-by-step explanation:
Have a great summer :)
Answer:
3.754 • 10^-4
Step-by-step explanation:
Put decimal point back until in front of a whole number( not zero ;D). So it would be 3.754 and since it was going left or backwards the exponent would be negative. Therefore, giving our answer!
Hope this helped, good luck! :)
simplify the following: 4(y + 2)
Answers
Answer:
answer
4( y+ 2 )
4y + 8
y = 8/4
y = 2
Answer:4
(
+
2
)
4(y+2)
4(y+2)
Simplify
1
Distribute
4
(
+
2
)
{\color{#c92786}{4(y+2)}}
4(y+2)
4
+
8
{\color{#c92786}{4y+8}}
4y+8
Solution
4
+
8
Step-by-step explanation:
SOMEONE HELP FAST PLEASE.
Answers
Answer:
f(0) = g(0)
Step-by-step explanation:
The functions intersect at x =0, which means they have the same y value at x=0
f(0) = g(0)
please help. its for an assignment that is due today.
Answers
Height = base/2 x tan 41 = 2.61
Base length = 2 x ( side length of triangle) x cos 41
6= 2 x ( side length of triangle, assume it b ) x 0.754
6= 1.509 x b
b = 6/ 1.509
b= 3.975
Area = 1/2 b x h
= 1/2 x b^2 Sin square theta
= 7.8235
Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
On a coordinate plane, point A is (negative 3, 4) and point B is (4, 3).
Point B is the result of a 180° rotation.
Point A and B have the same x-coordinate.
Point B is the result of a 90° counterclockwise rotation.
Point A and point B are the same distance from the origin.
Answers
Answer:
D
Step-by-step explanation:
I took Edgy 2021 test
Answer:
D
Step-by-step explanation:
Please help and show clear instructions will give brainliest !
Answers
Answer:
Answer is 3 because
Step-by-step explanation:
a=2
20*2= 40
40-1 = 39
b = 13
so 39/13 = 3
please help meeeeeeee
Answers
https://youtu.be/QnydfcNVJoQ
sypport my channel pls pls
channel name sabrina clodia
Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
Any fake or incorrect and links will be reported and you will have all answers taken away
Write a simplified expression for the perimeter of the triangle.
Answers
Answer:
Perimeter = 6s + 9 units
Step-by-step explanation:
Perimeter = 2s + 4 + 4s + 2 + 3
= 2s + 4s + 4 + 2 + 3
= 6s + 9 units
can you please find the range of these numbers? 18, 16, 19, 15, 17. I will give 16 points
Answers
Answer: Hi the Range is 4
Step-by-step explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:
18, 16, 19, 15, 17
19,18,17,16,15
19-15= 4
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
Answers
9514 1404 393
Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
Which of the following is/are equal to 3.4?i)314ii)5115iii)3410
Answers
A question abouts angles
Answers
Answer:
x = 16
Step-by-step explanation:
These are corresponding angles meaning they are equal to each other.
4x + 30 = 94
4x = 64
x = 16
can someone help with this one im confused.
Answers
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A(n) _____ is a statement that you conclude to be true based on logical reasoning. argument proof conclusion conjecture
Answers
Answer: conjecture
Step-by-step explanation:
A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.
Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.
Note:
Conclusion = Result made after a generalized study.Argument = A series of reasons that leads to a conclusion.proof = An argument that uses written justification in the form of definitions, properties, postulates, and previously proved theorems.Factorise completely the expression below: 6ax+12by-9ay-8bx
Answers
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
Can someone please help me?the question is in the picture. Thank you
Answers
Answer:
It would be 9π
Step-by-step explanation:
(x-1)²π
(x-1)(2x-4)
A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is
1. -9
2. -1
3. 8
4. 15
Answers
3. 8
Hpta me están poniendo a escribir mucho men
The value of a₄ is -9
What is recursively defined sequence?Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
learn more about Recursively defined sequence
Here: https://brainly.com/question/1480398
#SPJ2
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answers
Answer:
this two graph is not same because they have different slopes for this they are not same
standard form, degree, leading coefficient of 2x(2)-7x(4)+5x
Answers
lmk if this helped
Help please! Thank you:)
Answers
Answer:
what kind of math is that?
Step-by-step explanation:
which inequality best represents the graph?
Answers
Answer:
A y ≥ (1/2)x + 5
Step-by-step explanation:
The shaded area is above the solid line
the correct symbol is ≥
Which range of y values makes
this inequality true?
0.6y < 15
Pls help
Answers
Answer:
yes this is true helpful answer
Please please help me
Answers
Answer:
49
Step-by-step explanation:
The monthly rent of a house is Rs4200. The rent is decreased by 15%. Calculate the new rent.
Answers
Answer:
3570
Step-by-step explanation:
the current monthly rent is 4200.
now, decreasing it by 15% means to reduce it, to subtract 15% from it.
4200 = 100%
42 = 1%
15% = 42 × 15 = 630
so, the new rent is 4200 - 630 = 3570
What is the area of the polygon enter your answer in the box
43.5 units2
45.5 units2
56.5 units2
49.5 units2
Answers
Answer:
Option (1)
Step-by-step explanation:
Area of the polygon = Area of CDE + Area of EFG + Area of ABCF
Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(2)[/tex]
= 3 units²
Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]
= 2.5 units²
Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
= [tex]\frac{1}{2}(8+11)(4)[/tex]
= 38 units²
Area of the given polygon = 3 + 2.5 + 38
= 43.5 units²
Therefore, Option (1) will be the correct option.
