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

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

Answers

Wait there Is no pic

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:

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 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.

Estimate 307% of 29.

Answers

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

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

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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

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

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)

-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

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:

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.

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:

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

Please help ASAP

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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.

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.

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

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 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)

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.


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

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

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

HELP PLEASE!!! NOW :(

Answers

The answer will be “A”......

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

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

–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.

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 %

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.

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

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!

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.

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