Sketch the graph of the function y=3 sin(2x)-1

Answers

Answer 1

Function: y = 3sin(2x) - 1

Find y-intercept:

y = 3sin(2x) - 1y =  3sin(2(0)) - 1y = -1

Formula for minimum: m = A ‐ |B|

Minimum:

-1 - |3|-4

=========

When y = -4

3sin(2x) - 1 = -43sin(2x) = -3sin(2x) = -12x = sin⁻¹(-1)2x =-450°, -90°, 270°, 630°x = -225°, -45°, 135°, 315°

Formula for maximum: M = A + |B|

Maximum:

-1 + |3|2

=========

When y = 2

3sin(2x) - 1 = 2sin(2x) = 12x = sin⁻¹(1)2x = -630°, -270°, 90°, 450°x = -315°, -135°, 45°, 225°

Now we can plot the graph for the equation in range of -360° < x < 360°

For more graphing problems: brainly.com/question/27117441

Sketch The Graph Of The Function Y=3 Sin(2x)-1
Answer 2

Answer:

[tex]y=A\sin(B(x+C))+D[/tex]

Amplitude = A

The height from the center line to the peak (or trough).

Period = (2π)/B

The horizontal distance from one peak to the next.

Phase shift = C

How far the function is shifted horizontally from its usual position.
(positive is to the left, negative is to the right).

Vertical shift = D

How far the function is shifted vertically from its usual position.

Parent function:

[tex]y=\sin(x)[/tex]

Therefore:

Amplitude = 1Period = 2πPhase shift = noneVertical shift = none

Given function:

[tex]y=3\sin(2x)-1[/tex]

[tex]y=3\sin(2(x+0))-1[/tex]

Therefore:

Amplitude = 3Period = πPhase shift = noneVertical shift = -1

**See attached images for how the parent function is transformed to the final function**

Sketch The Graph Of The Function Y=3 Sin(2x)-1
Sketch The Graph Of The Function Y=3 Sin(2x)-1
Sketch The Graph Of The Function Y=3 Sin(2x)-1
Sketch The Graph Of The Function Y=3 Sin(2x)-1

Related Questions

Y= x + 6
y= -x+2

solve each system of equations by substitution

Answers

Answer:

x= -2
y=4

Step-by-step explanation:


Since we have an equation set equal to y, we can plug it in for either value of y.

I will be using y= x+6 in this case.

Plug in x+6 for the other equation, so instead of y=-x+2 it will now be that x+6 = -x+2

Now add x to both sides, and that will remove the x on the left side leaving us with 2x+6 = 2

Now, subtract 6 from both sides to get 2x isolated, and you will get 2x= -4

Divide both sides by 2 to get x= -2

Not plug x= -2 in back for the top (or bottom) equation and get that y=4

Hope this helps and isn't too complicated!

Tom earns $3200 a month. He pays $950 to rent an apartment. What percent of Tom’s income does he pay

Answers

Hey there!

Answer:

336.84%

3200 out of 950 is 336.84%

Solution:

3200 out of 950 is what %?

3200 out of 950 is P%

Equation: Y/X = P%

Solving our equation for P

P% = Y/X

P% = 3200/950

p = 3.3684

Convert decimal to percent:

P% = 3.3684 * 100 = 336.84%

well, if we take 3200 to be the 100%, what is 950 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875[/tex]

A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?

Answers

Answer:

$1.66 or $1.70 if you round up

Step-by-step explanation:

Do problems #4-6. Your answer choices are in a table below. Type your answer numbers the blank to move on! No spaces, no commas. Put it all together. *

I need help with 5

Answers

Answer:

[tex]\frac{1}{2a}[/tex]

Step-by-step explanation:

Simplify or expand

[tex](2a)^{-1}[/tex]

Simplify using negative exponent rule [tex]a^{-n}=\frac{1}{a^n}[/tex]

[tex]\frac{1}{2a}[/tex]

I hope this helps you

:)

What is the length of a diagonal of rectangle EFGH?

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

First, we find out the length of EH, which is 7. And then, we find the length of GH, which is 3. If we square both the numbers and add them, we get 53. And then we square root that to get [tex]\sqrt{53}[/tex]

Hope this helps <:)

Don't forget to put brainliest!

Benjamin has 3 dimes and 4 nickels. What percent of a dollar does he have?

Answers

Answer:

50%

Step-by-step explanation:

Hope this helped

Maybe mark brainiest

Dime = 10 cents

Nickel = 5 cents

Total value of coins = 3(10) + 4(5) = 30 + 20 = 50

To find the percent, first create a fraction. The fraction will be the amount of money that Benjamin has over the total (one dollar).

50 / 100 = 5 / 10 = 0.5

0.5 x 100 = 50

50%

Answer: 50% of a dollar

Hope this helps!

Help will give brainleiest

Answers

Answer:

40" by 50"

Step-by-step explanation:

From inspection of the diagram,

height of 2 squares of the quilt ≈ height of doll plus a little bit

⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in

⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in

As the height of a square = width of a square

⇒ width of 1 square of the quilt ≈ 10 in

Dimensions of the quilt

width = 4 squares = 4 × 10 = 40 in

height = 5 squares = 5 × 10 = 50 in

Ratios

We can also work out the width and height by using ratios.

The ratio of width to height of the quilt = 4 squares : 5 squares

If we multiply by 10, the ratio becomes 40 : 50

Final Solution

40" by 50"

Terrence measured an Italian restaurant and made a scale drawing. The scale of the drawing was 7 centimeters = 2 meters. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.

Answers

Answer:

200/7

Step-by-step explanation:

(2 meters)/(7 centimeters) or (2m/7cm)

1 meter = 100 cm

(2m/7cm)*(100cm/1m) = 200/7 (or   28.57) scale factor.

Find S.P. in the following cases. a) M.P. = Rs 540, discount = 5 %​

Answers

Step-by-step explanation:

Given:-

MP = Rs 540. Discount = 5 %

To Find:-

Sell price

Solution:-

SP = MP - Discount.

MP = Marked Price ( Also called List Price) SP = Selling Price.

Discount = (Discount %) of MP

Discount = (5/100) 54p

Discount = 27 Rs

Subtract discount from MP to get SP

SP = MP - Discount

SP = 540 - 27 Rs

SP = 513 Rs

Answer;

soln;

MP= Rs 540

discount = 5%

now,

SP = MP - D% of MP

    = 540 - 5/100 * 540

    =Rs 513

   

please help me with this question , we are now just learning it .

Answers

Answer:

angle 1=angle 4 ( vertical opposite angle)

Find the median and mean of the data set below:

Answers

Median = middle number = 30
Mean = sum of all numbers / how many numbers = 135 / 5 = 27

Answer:

27=mean. 30=Median

Step-by-step explanation:

trust me I know what I'm doing

someone please help me find the value of x

Answers

Answer:

x = 102.5°

Step-by-step explanation:

these two angles are adjacent and supplementary which means their sum must be equal to 180 degrees

create this equation to find 'x':

x + x-25 = 180

combine 'like' terms:

2x - 25 = 180

add 25 to each side:

2x = 205

x = 205/2 or 102.5°

please check picture and answer correctly please.

Answers

Answer:

27

Step-by-step explanation:

multiply 9 x 6 and you get 54. Since it's a triangle divide by 2 and you get 27

A football is punted from a height of 2.5 feet above the ground with an initial vertical velocity of 45 feet per second.

Write an equation to model the height h, in feet, of the ball t seconds after it has been punted.
The football is caught at 5.5 feet above the ground. How long was the football in the air?

Answers

Answer:

1.451 seconds.  Hurry.

Step-by-step explanation:

The position(height, h) of the foot ball will be given by the equation:

h = -32.2t^2 + 45t + 2.5

The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity.  The + is assigned since the ball is moving vertically from ground.  The negative sign in -32t^2 is due to the acceleration being towards ground.  The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.

We can either calculate or graph with this function to find the time the ball spends in the air:

Calculate:

h = -32.2t^2 + 45t + 2.5

We need a value of t that would cause h to be 5.5 feet, the level it was caught:

5.5 = -32.2t^2 + 45t + 2.5

-32.2t^2 + 45t + 2.5 = 5.5

-32.2t^2 + 45t -3.0  = 0

Solve for t using the quadratic formula.  I get a value of 1.33 seconds.

Graph:

See the attached graph.  It confirms the 1.33 second value

Which of the following statements is FALSE?

AO = 7.8 cm
c1 = 40°
BO = 7.8 cm
a2 = 40°

Answers

Parallelogram is a quadrilateral with equal diagonals. The statement BO = 7.8 cm is the only false statement

Properties of a parallelogram

From the given diagram, the opposite sides and angle of the figure are the same but the diagonals are not equal. This shows that:

m<B = m<D

m<A = m<C

Since the diagonals are not equal that is BD is not equal to AC, hence:

OB ≠ OC

Hence the statement BO = 7.8 cm is the only false statement

Learn more on parallelogram here: https://brainly.com/question/970600

Answer:BO = 7.8 cm

Step-by-step explanation: just did the quiz

Please help i am confused

Answers

Answer: 12.16

Step-by-step explanation:

Please help, I’ll mark your answer as brainliest.

Answers

Answer:

it'sssssss 2.51

Step-by-step explanation:

========≈==================

Factor completely.
x2 - 10x + 24

Answers

Answer:

[tex]\boxed{\sf{(x-4)(x-6)}}[/tex]

Step-by-step explanation:

In order to solve this problem, all you have to do is multiply their expressions by their factors.

To begin, you must group these expressions.

[tex]\sf{x^2-10x+24=\left(x^2-4x\right)+\left(-6x+24\right)}[/tex]

After that, you factor.

Solve.

[tex]\sf{x^2-4=x(x-4)}[/tex]

-6x+24=-6(x-4)

Then rewrite the problem down.

x(x-4)-6(x-4)

Factor by the common term.

(x-4)(x-6)

Therefore, the final answer is (x-4)(x-6).

I hope this helps you! Let me know if my answer is wrong or not.

Find the smallest number by which 6615 is to be multiplied by to get a perfect square

Answers

Answer:

3x 5

Step-by-step explanation:

Find the amplitude and period of y = 5 cos (4x)

Answers

Answer: amplitude is 5 and Period is pi/2

Step-by-step explanation:

yes ‍♀️

Select the values that would satisfy the following inequality:
K ≤ 12.75

|12.75|

|-12.75|

13

|-15|

0

Answers

Answer:

If it is a conjunction that uses the word and, the solution must work in both inequalities and the solution is in the overlap region of the graph. If it is a disjunction that uses the word or, the solution must work in either one of the equations.

Step-by-step explanation:

50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10

Answers

Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.

f(x) = 4x -8;{-2, -1,0,1,2}
What is the range? Choose the correct answer below.
A. {-16,- 11,-8, -3,0)
B. {-16, -12,-8, -4,0}
C. {-17, -12,- 8, -4,1}
D. {-16, -11, -9,-3,0)

Answers

Answer:

B

Step-by-step explanation:

4(-2)-8 = -16, so not C
4(-1)-8 = -12, so not A or D
4(0)-8 = -8, so not D
4(1)-8 = -4, so not A or D
4(2)-8 = 0, so not D

On Monday, Payton rode 7 miles on a bike. On Tuesday, she rode 23
miles. On Wednesday, she rode 3 times as much as she did Monday
and Tuesday combined. What equation could you use to find how
many miles Payton rode on Wednesday, r?

Answers

Answer:

483

Step-by-step explanation:

I really really pray and hope this helpss.

Answer:

X=3(7+23)

Step-by-step explanation:

Determine which polynomial is a perfect square trinomial. 4x2 − 12x 9 16x2 24x − 9 4a2 − 10a 25 36b2 − 24b − 16.

Answers

This [tex]4x^2 - 12x + 9[/tex] factors into [tex](2x - 3)^2[/tex], and is thus a perfect square trinomial.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

Trinomial [tex]Ax^2 + Bx + C[/tex] is a perfect square if

A > 0

C > 0

B = ±2√A√C

1. [tex]36b^2 - 24b - 16[/tex]

C < 0

2. [tex]4a^2 - 10a + 25[/tex]

2√A√C = 2×2×5

              = 20,

B = −10

3. [tex]16x^2 + 24x - 9[/tex]

not a perfect square,

C < 0

4. [tex]4x^2- 12x + 9[/tex]

perfect square

A>0,

C>0,

2√A√C = 2×2×3

-B = 12

= [tex](2x - 3)^2[/tex]

Thus,  [tex]4x^2- 12x + 9[/tex] the polynomial is a perfect square trinomial.

Learn more about perfect square;

https://brainly.com/question/1832550

Simplify the following if x = 3 & y = 4:

1. 2x + y =

2. 3x + 2y =

3. 3y + 2x =

4. 10x + 4y + 2x =

5. 6y + 5x =

6. 7x + 4y =

Use your knowledge about parentheses and substitution to solve the following:

q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

7. 2(x+4) + 10 =

8. 3(4x) + 4 =

9. 10(xy) =

10. 2(x + y) =

11. 3(rs) + 4(x)

12. 2(q) + 2(x + t) =

13. 6(3t + 4s) =

14. 10(10x) + 10y =

15. x(xy) =

16. r(s)(t) =

17. (r)(s)(t)(x)(y) =

18. 6(2x + 3Y) =

Answers

The top one is correct …..correct is correct

Answer: (All below)

Step-by-step explanation:

1. 2x + y = 10

2(3) + 4) = 10

6 + 4 = 10

2. 3x + 2y =

3(3) = 2(4) =

9 + 8 = 17

3. 3y + 2x = 18

3(4) + 2(3) = 18

12 + 6 = 18

4. 10x + 4y + 2x = 52

10(3) + 4(4) + 2(3) = 52

30 + 16 +6 = 52

46 + 6 = 52

5. 6y + 5x =39

6(4) + 5(3) = 39

24 + 15 = 39

6. 7x + 4y = 37

7(3) + 4(4) = 37

21 + 16 = 37

7. 2(x+4) + 10 = 28

2( 5 + 4) + 10 = 28

2(9) + 10 = 28

18 + 10 = 28

8. 3(4x) + 4 = 64

3(4(5)) + 4 = 64

3(20) + 4 = 64

60 + 4 = 64

9. 10(xy) = 300

10(5(6)) = 300

10(30) = 300

10. 2(x + y) = 22

2(5 + 6) = 22

2(11) = 22

11. 3(rs) + 4(x)

3(2(3)) + 4(5) =

3(6) + 20 =

18 + 20 = 38

12. 2(q) + 2(x + t) = 20

2(1) + 2(5 + 4) =  20

2 + 2(9) = 20

2 + 18 = 20

13. 6(3t + 4s) = 84

6(3(1) + 4(3)) = 84  

6(2 + 12) = 84

6(14) = 84

14. 10(10x) + 10y = 560

10(10(5)) + 10(6) = 560

10(50) + 60 = 560

500 + 60 = 560

15. x(xy) = 150

5(5(6)) = 150

5(30) = 150

16. r(s)(t) = 24

2(3(4)) = 24

2(12) = 24

17. (r)(s)(t)(x)(y) =720

(2)(3)(4)(5)(6)= 720

6(20)(6) = 720

120(6) = 720

18. 6(2x + 3Y) = 1080

6(2(5) + 3(6)) = 1080

6(10 + 18) = 1080

6(180) = 1080

What will be the sales price of the car if it has a regular price of $16 000 and is on sale for 20% off? Determine the cost of the car including 13% tax.

Answers

Answer:

14,464

Step-by-step explanation:

16,000 - 20% = 12,800

12,800 + 13% = 14,464

I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)

use the terms 8 , 3x , 3/2 and 4x to complete the expression below so that’s is equivalent to 9x - 12

Answers

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

The question is in the image. I really need help, please.

Answers

Answer:

  (b)  65/27

Step-by-step explanation:

Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.

The sum represented by the summation symbol is ...

  5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3

  = 5(1 -2/3 +4/9 -8/27)

  = 5/27(27 -18 +12 -8)

  = 5(13/27) = 65/27

__

There is a formula for the sum of a geometric series:

  Sn = a1×(1 -r^n)/(1 -r)

Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...

  S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27

What is the area of this figure?
Use 3.14 for TT.

Please help

Answers

Answer:

406.08

Step-by-step explanation:

First FInd the area of the rectangle : which is short side * long side

-> 15*12=180m

Then find the area of the half circle, the formula of the area of a circle is [tex]\pi r^2[/tex]

here it's half a circle so it's [tex]\frac{\pi r^2}{2}[/tex] where r is 12

-> [tex]3.14\cdot \frac{\left(12\right)^2}{2}=226.08 m[/tex]

Finally just add the area of the rectangle with the area of the half circle

-> [tex]180+226.08=406.08 m[/tex]

Other Questions
please answer this!!!!! Nancy hears a report that the average price of gasoline is $2.82. she averages the prices of stations near her home. she finds the average price of gas to be $3.03. why are the averages different? Which statement best describes the poems use of language? blake uses images of plants to show natures bounty. Blake reveals emotions being cultivated like a garden. Blake presents ripe fruit to question the duration of beauty. Blake explains the planting process to suggest mans hard work. Review the work showing the first few steps in writing a partial fraction decomposition.StartFraction 4 x + 40 Over (x + 2) (x + 6) EndFraction = StartFraction A Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction4x + 40 = A(x + 6) + B(x + 2)4x + 40 = Ax + 6A + Bx + 2BWhat is the partial fraction decomposition in terms of x? Which function grows at the fastest rate for increasing values of x? g(x) = 10x + 15 f(x) = 23^x h(x) = 5x^2 + x + 10 help again thank you . All changes saved 16. The Abdul family is comparing the costs of two different high-speed Internet services. With plan A, equipment installation is $199, and the monthly fee is $50. With plan B, the installation is $50, with a $90 monthly fee. The cost of Part A is given by f(x) = 50x + 199 and the cost of Part B is given by g(x) = 90x + 50, where x is the number of months of service. Part A: Make two tables that you could use to graph the functions. Let x = 0, 1, 2, 3, 4, 5, and 6. Part B: Graph both functions. Part C: The Abduls plan on using the Internet service for one year. Based on cost, which plan would you recommend? Explain. Use the given financial data to indicate which firm has the higher degree of each type of risk. Which firm has more business risk Compile your research in a table that lists each technology, its purpose, its cost to use,whether it is covered by insurance, and details on accessibility (numbers and locations ifindividual services). Finally, write a brief assessment of accessibility issues youuncovered. Moussa owns a small business selling clothing. He knows that in the last week 92 customers paid cash, 5 customers used a debit card, and 25 customers used a credit card.If next week, he is expecting 1600 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number. Which term works best as a title for the list??Is a factor of productionRefers to natural resourcesIncludes trees, oil, and saltA. LaborB. LandC. CapitalD. Entrepreneur Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.How many feet of electrical cord did he use altogether? Which event led to an heightened focus on national security? the patriot act war in afghanistan september 11 attacks the japanese treaty of 1960 How does the second passage develop kakus idea that humans have become active choreographers of nature? by saying that people can now use dna to reconstruct other humans by saying that people can now read dna to understand individual characteristics by saying that people can now examine a single cell to discover what dna is by saying that people can now use dna to choreograph nature Something that causes stress is known as a(n) _______. 3 kitchen assistants can prepare 10 kg of vegetables in 60 minutes. How long would it take 25 assistants to prepare the same amount? What is the volume of the triangular prism 6-2 skills practice inverse functions and relations Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3)) what is the difference between segregation and independent assortment? Will give brainiest award/ 72 points What is the difference between chromosomal DNA and Plasmid DNA?