The graph of cosine function has an amplitude of 4 and a period of 3x find an equation in the form of y=a cos bx

Answers

Answer 1

Answer: f(x) = 4*cos(x*2*pi/3)

Where I assumed that the period is 3, instead of 3x

Step-by-step explanation:

In a general equation like:

f(x) = a*cos(b*x)

a is the amplitude.

b is the angular frequency, which is equal to two pi times the inverse of the period.

In this case, we know that the amplitude is 4, then a = 4.

And the period is 3x (i guess that this is wrong because the period should not depend on the variable, as we will see later), then the frequency is:

b = 2*pi/3x

Replacing these in the equation we get:

f(x) = 4*cos(x*2*pi/3x) = 4*cos(2*pi/3)

Then we have no longer a dependence on x.

If the period is equal to 3, then the frequency will be:

b = 2*pi/3

Then the equation now is

f(x) = 4*cos(x*2*pi/3)

This is a cosine function, as we wanted.


Related Questions

can anyone answer -9(x-8) and show work ?

Answers

Answer:

-9x + 72

Step-by-step explanation:

1. -9(x-8)

2. distribute the 9. --> -9x + 72

Italic

Help I need help this is a question I don’t understand

Answers

Answer:

Triangle ADB is an isosceles triangle that has been split in half. Isosceles triangles are triangles whose base angles are equal and has 2 equal side lengths. For example triangle ADB has AD and DB equal along with m<a and m<b equal

Therefore, if we split this triangle into two half's then they are congruent (the same)

Right triangles have a 90° angle, usually marked by a square

this means that m<DCA is 90°;AD=DB=14m; CB=AC=11; AB=AC+CB=22

Step-by-step explanation:

When plotting points on the coordinate plane below, which point would lie on the x-axis?

Answers

Answer:

If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.

Step-by-step explanation:

Mark me as brainlist

can someone help me on this?!

Answers

9514 1404 393

Answer:

  D.  3 to 4

Step-by-step explanation:

The ratio ...

  blueberries : strawberries = (1/2) : (2/3)

can be changed to a ratio of integer by multiplying by the least common denominator: 6.

  = 6(1/2) : 6(2/3) = 3 : 4

i need help please i would do anything

Answers

The answer is

Step-by-step explanation:

Since there is 3 even numbers and 3 odd numbers it makes a 50/50 chance when spun once. If you spin it 60 times you will have spun it 30 times theoretically.

Nasser is following this recipe to make flapjacks.
Nasser uses 1.4 kg of sugar.
How many flapjacks is Nasser making?
Recipe: Makes 12 flapjacks
140 g margarine
175 g sugar
200 ml syrup
200 g oats
40 g sultanas

Answers

Answer:

96

Step-by-step explanation:

12 flapjacks=175g sugar

0.06857142857 flapjacks=                1g sugar

                                                             1400g sugar

96flapjacks=1400g sugar

i hope i helped<3

Answer:

96

Step-by-step explanation:

You can Trust me cuz our work is same


1. If s varies directly as t and inversely as v, then which of the following equations describe the relation
among the three variables s, t, and v?

Answers

The answer is s=kt/v

Your thrteater company sells tickets to their holiday showing off the nutcracker. Tickets cost $5 each. Tickets for adults cost $8 each. The total sales on opening night is $720. Write an equation to show the total sales as a combanation of kid tickets and adult tickets sold.

Answers

Answer:

5x + 8y = 720

Step-by-step explanation:

Let the :

Number of kid tickets sold = x

Number of adult tickets sold = y

Hence:

Tickets for kids cost $5 each.

Tickets for adults cost $8 each.

The total sales on opening night is $720.

The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:

$5 × x + $8 × y = $720

5x + 8y = 720

Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is

5x + 8y = 720

Which triangles are similar?

Answers

Answer:

A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D

Step-by-step explanation:

-4x - 2 (12x - 12) = 10 (12 - 2x) for x
Show work/ say the steps plz.

Answers

X=-59/4


I really hope this is right!!
-4x - 2 (12x - 12) = 10 (12 - 2x)
-4x - 24x + 24 = 120 - 20x
-28x + 24 = 120 - 20x
-24. -24
-28x = 96 - 20x
+20x. +20x
-8x = 96
divide -8 from both sides of the equation
x = -12

Please help!!!
Composition of functions~

Answers

Answer:

option D

Step-by-step explanation:

First you must find g(n) given that n is -3n:

g(-3n) = -3n - 1

Then plug that in f(n) as the new n:

f(n) 3( -3n - 1) + 5

= -9n -3 + 5

= -9n + 2

So option D

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer:

The answer is D

Step-by-step explanation:

You cross multiply 5 and 5 and 2 and 6 to create a new fraction

Answer:

12/25

Step-by-step explanation:

so what you would do is keep the first fraction (2/5) then change the symbol then flip the last fraction (5/6). so then you would multiply 2*6= 12 and 5*5=25. so the answer would be 12/25.

Help pls ill mark u brainliest

Answers

Answer:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] are vertical angles and are congruent (have the same measure).

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 3[/tex] represent a pair of vertical angles. They are opposite angles to two intersecting lines. Vertical angles are always congruent. None of the other answer choices are implied in the figure.

1. If the point (-5, -3) is translated 4 units to the right and 3 units down, what are the coordinates
of the new point? Write the algebraic expression that represents the translation.


Answers

Answer:

(-5 + 4, -3 - 3)

Step-by-step explanation:

"4 units to the right" requires ADDING 4 to the x-coordinate of (-5, -3):

(-5 + 4, -3).

"3 units down" requires SUBTRACTING 3 from the y-coordinate:  

(-5 + 4, -3 - 3), or (if simplified) (-1, -6)

4x^2 - 12x - 3

what would the answer be if x = 7

Answers

Answer:

= 3 /2 ±  √ 3

Step-by-step explanation:

Answer : 109


Step-by-step explanation

HELP PLEASE!!! NOW :(

Answers

The answer will be “A”......

2x+3y=3
y=8-3x

The value of y is substituted back into the first equation what is the resulting equation?
what is the value of x?
what is the value of y?

Answers

Answer:

2x + 3 (8 - 3x) = 3

x = 3

y = -1

Step-by-step explanation:

pretty sure thats right! have a great day!

The equation of the line graphed below could be which of the following?

Please help ASAP

Answers

Answer:

4.

Step-by-step explanation:

First, you have to decide whether the slope is negative or positive. Since the line is going diagonally upward, it is positive.

That means the answer has to be either 3 or 4.

Next, you have to decide whether the y-intercept is negative or positive, on the graph, you can see that it is positive.

Answer choice 4 is the only equation where both the slope and the y-intercept are positive, so it is the answer.

If the sin 60 degrees is 3/2, then the cos ______ degrees = ______.

Answers

Answer: If the sin 60 degrees is 3/2, then the cost is 22 degrees and equals a bunch of like 88 degrees

Step-by-step explanation:

Isaac invested $77,000 in an account paying an interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 12 years?​

Answers

Answer:

133,727.67

Step-by-step explanation:

the other one is wrong

also have a nice day

The amount of the money to the nearest cent, would be in the account after 12 years is $133,307.18.

Calculation of the amount:

Since the invested amount is $77,000

The rate of interest is 4.6% compounded continuously

And, the number of years is 12

So,

= $77,000 * (1 + 0.046/12)^48

= $133,307.18

hence, The amount of the money to the nearest cent, would be in the account after 12 years is $133,307.18.

Learn more about amount here: https://brainly.com/question/24338143

5 1/3 expressed in percent is

Answers

Answer:

533.3%

Step-by-step explanation:

simplify the fraction to 16/3 (3x5+1=16)  then you multiply the fraction by 100

which is 533.3 or 533 1/3 %

Someone good at math pls help me:)

Answers

Answer:

B) (-2,6)

Step-by-step explanation:

Where do the two lines intersect? That is where the solution is.

Hope this helps

Answer:

I believe the answer B ( I think)

Estimate 307% of 29.

Answers

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

ken eats 4 plums each day. How many plums would he eat in TWO weeks?​

Answers

Answer:

56 (plums)

Step-by-step explanation:

There's 7 days a week, 14 in two weeks, so if Ken eats 4 plums each day, he will eat 14 times that in two weeks.

x = 4 × 14

x = 56

Answer:

56

Step-by-step explanation:

4 plums a day, with 7 days in a week. 4*7=28 plums a week. He eats 4 plums a day for two weeks, so we multiply 28 by 2. 28*2=56.

Which of the following graphs correctly shows the image of the figure after a translation 4 units left and 3 units down?

Answers

Answer:

Option 2

Step-by-step explanation:

You can find the answer by just counting to the left and down

Which of these best describes the location of (9,0) on a coordinate grid? Question 12 options: In Quadrant I In Quadrant II On the x-axis On the y-axis
Help quick!

Answers

Step-by-step explanation:

Quadrant I: Both values are positive.

Quadrant II: x-value is -ve, y-value is +ve.

On the x-axis: y-value is 0.

On the y-axis: x-value is 0.

The point (9, 0) has a y-value of 0.

=> It lies on the x-axis.

The 2th term of The A.P is 7 and 9th term is 28, Find The comon difference and The first term.
help me please ​

Answers

Answer:

difference = 3, first term = 4

Step-by-step explanation:

given, a2 = 7

a9 = 28

wkt, a2 = a + d = 7

a9 = a + 8d = 28

- 7d = - 21

therefore d = 3

and wkt, d = a2 - a

a = 7 - 3 = 4

HOPE THIS HELPS

–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1

Answers

Given:

The expression is

[tex]-5x+4-x-1[/tex]

To find:

The terms, like terms, coefficients and constants.

Solution:

We have,

[tex]-5x+4-x-1[/tex]

It can be written as

[tex]=(-5x)+4+(-x)+(-1)[/tex]

So, terms are [tex]-5x,4,-x,-1[/tex].

It two terms have same variable of same degree, then they are called like terms.

[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.

In the product of a number and a variable, the number is called coefficient.

Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.

Constant terms are free from variable. So, constant terms are 4 and -1.

Terms: [tex]-5x,4,-x,-1[/tex];

Like terms: [tex]-5x, -x;4, -1[/tex];

Coefficients: -5, -1;

Constants: 4, -1

Therefore, the correct option is c.

Explain the similarities and differences in the steps used to solve the equation and inequality.

Answers

Wait there Is no pic

What are the zeros of the function (x) = x2 – 3x+2?

Answers

Step-by-step explanation:

f(x) = x² - 3x + 2 = (x - 2)(x - 1).

When f(x) = 0, (x - 2)(x - 1) = 0.

=> x = 2 or x = 1.

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