(10.04 MC)

What cosine function represents an amplitude of 3, a period of π, no horizontal shift, and a vertical shift of 2? (6 points)

Group of answer choices

f(x) = 3 cos 2x + 2

f(x) = 3 cos πx + 2

f(x) = 2 cos πx + 3

f(x) = 2 cos 2x + 3

Answers

Answer 1

Answer:

f

(

x

)

=

3

cos

(

2

x

)

+

2

EXPLANATION:

We are able to use the transformation formula

f

(

x

)

=

a

cos

(

x

h

b

)

+

k

. You start with

f

(

x

)

=

cos

(

x

)

and replace

a

with the desired amplitude,

h

with the desired horizontal shift, and

k

with the desired vertical shift. This leaves out the

b

-value. A regular cosine function has a period of

2

π

. If you want a period of

π

, since that is one half of the original period, you need to replace your

b

with a

1

2

.

This is about how it would work out.

f

(

x

)

=

3

cos

(

x

0

1

2

)

+

2

From there you simplify your equation giving you

f

(

x

)

=

3

cos

(

2

x

)

+

2

Answer 2

Answer:

f(x) = 3 cos 2x + 2

Step-by-step explanation:

got it right on the test.


Related Questions

A box plot is shown below what is the median and q3 of the data set represented on the plot median=30;q3=44 median 36; q3=44 median 30;q3=39 median = 36;q3=39

Answers

The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.

Answer:

Kindly check explanation

Step-by-step explanation:

From the attached picture, the median and upper quartile value of the boxplot are :

The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.

In the attached boxplot , the median = 29

The upper quartile = 38

simplify -5/8 (- 3/8 -14)

Answers

Answer:

575/64

Step-by-step explanation:

-5/8(-3/8-14)

15/64+70/8

15/64+560/64

575/64

In what week did Nick spend more then 5 hours studying history?

Answers

Week 4
Cause the graphics show that

Answer:

week 4

i need to add 20 more characters to submit this answer but yes the answer is week 4

I need help! If you could explain that would help alot
(find x using cross multiplaction 4x+6 and x+9)
NO LINKS YOU WILL BE REPORTED

Answers

Answer:

x = 3. (Refresh if you cannot see the explanation.)

Step-by-step explanation:

[tex]\frac{4x+6}{3} = \frac{x+9}{2}\\\text{Cross multiply.}\\2(4x+6)=3(x+9)\\\text{Distribute.}\\8x+12=3x+27\\\text{Subtract 3x from both sides.}\\5x+12=27\\\text{Subtract 12 from both sides.}\\5x=15\\\text{Divide both sides by 15.}\\x=3\\\\\text{Proof:}\\\\\frac{4x+6}{3}=\frac{x+9}{2}\\\text{Substitute variable.}\\\frac{4(3)+6}{3}=\frac{3+9}{2}\\\text{Simplify numerators.}\\\frac{18}{3}=\frac{12}{2}\\\text{Divide both sides.}\\6=6[/tex]

how are systems of inequalities different than systems of equations?

Answers

Answer

A system of linear inequalities is a set of equations of linear inequalities containing the same variables. ... However, solving a system of linear inequalities is somewhat different from linear equations because the inequality signs hinder us from solving by substitution or elimination method.

Explanation

Done

Answer:

what the answer

Step-by-step explanation:

hehehehehehhe

Two figures are arranged as shown.
Select all of the expressions that can be used to find the area of the figure shaded gray.
Please help me with this.

Answers

Answer: b and d

Step-by-step explanation: it’s t only two that make since

Answer:

The answer is [tex]a^{2} -(2*4)[/tex]

Step-by-step explanation:

Definition of square and rectangle

A plane figure having four equal sides and four right (90°) angles in geometry is called a square.

A rectangle is a two-dimensional shape with four sides, four corners, and four right angles. A rectangle's opposite sides are the same length, with one pair being longer than the other.

The area of given square= a²

The area of rectangle= 2*4

Hence the area of shaded region= [tex]a^{2} -(2*4)[/tex]

To know more about the finding shaded region area

https://brainly.com/question/23332510

#SJP2

Drag each tile to the correct box. A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.

Answers

Answer:

Minimum < Q1 < Median < Q3< Maximum

Step-by-step explanation:

Given

Minimum, Median, Maximum, Q3 and Q1

See attachment for complete question

Required

Order from least to greatest

In a dataset, the range is:

[tex]Range = Maximum - Minimum[/tex]

This implies that, the minimum is the least and the maximum is the highest of the dataset

So, we have:

Minimum <         <              <           < Maximum

The median is the middle item; So, the above becomes

Minimum <         < Median <           < Maximum

In a dataset, the IQR is:

[tex]IQR = Q_3 - Q_1[/tex]

This implies that:

[tex]Q_3 > Q_1[/tex]

So, we have:

Minimum < Q1 < Median < Q3< Maximum

Determine the number of ways that the 12 members of the basketball team
can line up if Joe, Rob and Tim must be all together? *

Answers

Answer:

do you have a picture so I can see it?

solve the equation 20d+2=0​

Answers

Answer:

[tex]20d + 2 = 0 \\ 20d \: = - 2 \\ = d = \frac{ - 2}{20} \\d = \frac{ - 1}{10} [/tex]

evaluate the expression

7∛27+5

Answers

the answer is 26
hope it helps

Answer:

26

Step-by-step explanation:

The radical must be evaluated first.  The cube root of 27 is 3.  Then we have:

7(3) + 5 = 21 + 5 = 26

NO websites or inappropriate answers and please show me the steps for all the answers

Answers

Answer:

1) 7 Miles

2) $750

3) I did not get what it was asking, sorry.

Step-by-step explanation:

1) It is 5 dollars per mile.

You can divide 35 by 5 to get to 7 miles.

2) You find the constant by dividing one of the pairs, in this example, I chose the first row of numbers.

Divide $100 by 4, which will get you $25 per session.

Multiply 30 by 25 which will get you $750

there are 14 red marbles and 19 blue marbles in a bag you randomly choose one of the marbles what is the probability of choosing a red marble write your answer as a fraction in simplest form

Answers

Answer:

4/23

Step-by-step explanation:

Probability of choosing a red marble = # of red marbles / total # of marbles

We are told that there are 4 red marbles and 19 blue marbles

So the # of red marbles = 4

And the total # of marbles = 4 + 19

4 + 19 = 23

So there are a total of 23 marbles

Recall that probability of choosing a red marble is equal to # of red marbles / total # of marbles

Hence, the probability of choosing a red marble is 4/23

Note: 4/23 is already in it's simplest form so no simplifying has to be done.

Answer:

14/33

Step-by-step explanation:

There are 14 red marbles and 19 blue marbles, meaning that there are 33 marbles in all:

14 + 19 = 33

You are randomly choosing a red marble out of the total amount of marbles. 14/33

Note that you cannot simplify the fraction anymore, and so 14/33 is your answer.

~

1 1) Beth bought a book that normally cost $25.00. It was on sale for 35% off.
How much did she pay for the book?

I need help ASAP

Answers

Answer:

$16.25

Step-by-step explanation:

PLEASE HELP!!!! Erika wants to buy a new chair for her living room. She has found one she likes at two different stores.
The chair at The Sitting Store has a list price of $150.00, and she has a coupon for 35% off.
The chair at The Dining Depot has a list price of $132.95, and she has a $25 rebate.
Which company offers the better price if she wants to pay the least amount for the chair? What is that price?

Answers

Answer:

123.95-25=107.95    $150.00-35%=150.0

Step-by-step explanation:

AABC ~ DEF. What sequence of transformations will move AABC onto ADEF

Answers

Answer:

C

Step-by-step explanation:

i am smart

What is the median of the data set represented by the box plot below?
Data set: 32, 39, 44, 61, 69

Answers

median: 44
arrange your numbers from lowest to highest
count how many numbers you have
and divide
glad to help!

Ysaac, médico de turno en una clínica local, deja encargado a la enfermera Elisa la dosis de Panadol (mg) para todos los pacientes del hospital. La enfermera le pregunta ¿cuál es la Dosis?, y el médico le responde que la dosis anterior empleada en total para 10 pacientes adultos se encontraba resolviendo la ecuación x2+ 50x – 2400 = 0. Si la dosis actual ha disminuido en 10 miligramos para cada paciente. ¿Cuánto debe ser la dosis para cada paciente adulto actualmente?

Answers

Answer:

Each adult patient today taking dose of 13 mg.

Step-by-step explanation:

Given - Ysaac, a doctor on duty at a local clinic, leaves the Panadol dose (mg) to nurse Elisa for all hospital patients. The nurse asks him what is the Dose ?, and the doctor answers that the previous dose used in total for 10 adult patients was solving the equation x2 + 50x - 2400 = 0. If the current dose has decreased by 10 milligrams for each patient.

To find - How much should the dose be for each adult patient today?

Solution -

Given that, the equation is -

x² + 50x - 2400 = 0

⇒x² + 80x - 30x - 2400 = 0

⇒x(x + 80) - 30(x + 80) = 0

⇒(x - 30)(x + 80) = 0

⇒x = 30, -80

But dose can not be negative

So, x = 30

∴ we get

The previous dose is 30 that is given to 10 patients

So,

1 patient is taking 3 mg previous dose

Now,

Given that,

If the current dose has decreased by 10 milligrams for each patient.

So,

The current dose = 3 mg + 10 mg

                             = 13 mg

⇒The current dose = 13 mg

∴ we get

Each adult patient today taking dose of 13 mg.

The slope of a line is ½ and the y-intercept is 4. Which choice is the x-intercept of this line?

[1] -8 [2] 8 [3] -4 [4] 4

Answers

Answer: y = 1/2x + 4

Step-by-step explanation:

PLS HELP ME THI S IS DUE RIGHT NOW !!!!!!!

Answers

Answer:

D) Reflection across a horizontal line

Answer:

d

Step-by-step explanation:

Which of the following is/are the solution(s) for ‘x’ in the equation:
x^2 = 256

Answers

Answer:

16, sqrt 256

Step-by-step explanation:

Answer: it's 16

Step-by-step explanation:

PLEASE HELP ME OUT PLEASEEE!! which of the following are solutions represented by the graph below? choose all that apply

a. (0, 2)
b. (1, 0)
c. (3, -4)
d. (4, -1)
e. (-1, 3)

Answers

Answer:

a, b, and c are represented by the graph.

Step-by-step explanation:

i hope this helps :)

Give the equation for the new circle obtained by translating the circle (x+2)^2 + (y-1)^2 = 25 by 3 units to the right and 2 units down

Answers

Answer:

(x - 1)^2 + (y + 1)^2 = 25

Step-by-step explanation:

The equation of a circle centered in the point (a, b) with a radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we translate the circle 3 units to the right and 2 units down, then we translate the center 3 units to the right and 2 units down.

So if the original center was (a, b), and we translate it 3 units to the right, then we need to add 3 to the x-component, we get:

(a + 3, b)

Now if we want to move the center two units down, we need to subtract 2 in the y-value, we get:

(a + 3, b - 2)

This will be the new center of the circle.

Now let's look at our circle, we have:

(x + 2)^2 + (y - 1)^2 = 25

The center of this circle is:

(-2, 1)

After the translation, the center will be:

(-2 + 3, 1 - 2)

(1, -1)

Then the equation for the translated circle is:

(x - 1)^2 + (y - (- 1))^2 = 25

(x - 1)^2 + (y + 1)^2 = 25

12-14. You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The letters on the spinner are E, B, G, K, D, and H. Find each probability. Show all work. P(rolling a 2, spinning an A) _________ 6. P(rolling an even number, spinning a vowel) _________ 7. P(rolling a number less than 3, spinning a consonant) _________

Answers

today’s topic is drugs. marijuana, in fact study’s show that nearly 55 million adults use marijuana and that’s most likely not including all the young teens that do too.

The question is in the picture help please

Answers

Answer:

8

Step-by-step explanation:

the rectangles length is 1 because 2^0 = 1

the width is 8 because 2^3 which is also 2 x 2 x 2 = 8

to find the area it would be length times width.

1 x 8 = 8

Final answer: 8 square meters

Rays aquarium is 20 inches long, 20 inches wide, and has a height of 15 inches. Randles aquarium is 40 inches long, 12 inches wide, and has a height of 12 inches. Who’s aquarium has a greater volume? By how much?

Answers

Rays is bigger by 240 inches

_________ is the displacement of an object during a specific unit of time.

Answers

Answer:

velocity

Step-by-step explanation:

velocity is the answer

A food web shows all energy transfer interactions within a sample of organisms. A food web diagram is provided.The role of the snapper turtle is bestdefined by which of the following?

To break down waste products made by producers, such as algae

Top consumer that receives its energy from other consumers

Converts light energy from the sun and transfers it to consumers

Provides energy to the sunfish, snails, and bass

Answers

Answer:

Top consumer that receives its energy from other consumers

Step-by-step explanation:

It eats other fish like the bass and sunfish

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:

g

Step-by-step explanation:

The answer for 14 is -1/200 or answer choice G

During a race sample of five sports cars has a mea speed of 175mph. The speeds in miles per hour of cars are 186,181,170,151, find the speed of the five car

Answers

Answer:

Speed of 5th car = 187 mph

Step-by-step explanation:

Given:

Mean speed of five car = 175 mph

Speed of four cars = 186,181,170,151 mph

Find:

Speed of 5th car

Computation:

Average mean = Sum of all observation / Number of observation

Mean speed of five car = Sum of five cars speed / Number of cars

175 = [186 + 181 + 170 + 151 + Speed of 5th car] / 5

186 + 181 + 170 + 151 + Speed of 5th car = 175 x 5

186 + 181 + 170 + 151 + Speed of 5th car = 875

688 + Speed of 5th car = 875

Speed of 5th car = 875 - 688

Speed of 5th car = 187 mph

which equation has no real solutions?
a. -2x^2=-168
b. 4x^2+76=32
c. 25x^2=1
d. 43-x^2=12

Answers

Answer:

[tex]B. 4x^2+76=32[/tex]

Step-by-step explanation:

[tex]In ~ option~ B[/tex]

[tex]4x^2+76=32\\[/tex]

[tex]4x^2=-76+32[/tex]

[tex]4x^2=-44[/tex]

[tex]x^2=-44/4=-11[/tex]

[tex]x^2=-11[/tex]

A square of any real number can't be a negative integer.

So, Option B is your answer

[tex]--------------[/tex]

hope it helps..

have a great day!!

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