1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alina1380 [7]
3 years ago
7

If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2

(x -pi/3), what should be used for Xmin and Xmax? Explain your answer.
Mathematics
2 answers:
Finger [1]3 years ago
5 0
The period of a sinusoid \cos 2(x-c) is \dfrac{2\pi}2=\pi, so any range such that \mathrm{Xmax}-\mathrm{Xmin}=2\pi will give two complete periods.
Fantom [35]3 years ago
5 0

Answer:

The smallest possible domain to completely graph two periods is either [0, 2π] or [-π, π].

Step-by-step explanation:

The period of cosine function [0, 2π].

The given function is

y=5+3\cos 2(x-\frac{\pi}{3})

This function can be written as

y=5+3\cos (2x-\frac{2\pi}{3})          .... (1)

The general form of cosine function is

y=A\cos (Bx+C)+D              .... (2)

where, A is amplitude, \frac{2\pi}{B}, C is phase and D is midline.

From (1) and (2), we get

A=3,B=2C=\frac{2\pi}{3},D=5

Period=\frac{2\pi}{2}=\pi

The period of given function is [0,π]. So, the smallest possible domain to completely graph two periods is either [0, 2π] or [-π, π].

You might be interested in
Four students working in a group are trying to find a rational number between
MAVERICK [17]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
Help me please!! <br> Also explain you answer since this is a study guide for a important test!!
il63 [147K]

Answer:

<h3><em>the </em><em>answer</em><em> </em><em>is </em><em>A</em></h3>

Step-by-step explanation:

8x+6is equivalent to-7(1-x)+x+13 because

-7(1-x)+x+13

we use-7to multiply the numbers in the bracket which is equal to -7+7x(minus ❌times minus =+)

-7+7x+x+13

collect like terms

7x+x+13-7=8x+6

answer is A

6 0
2 years ago
Read 2 more answers
suppose you want to fill a pot with 1 gallon of water. You can use a measuring cup the size of a cup or a quart. which would be
sesenic [268]
The best one to use would be the quart measuring cup because it is bigger so it would fill up the pot faster
3 0
3 years ago
Read 2 more answers
PLEASE HELP!! <br><br> (2x+3y-7)+(x-y)<br><br> show how you got the answer too please
Leto [7]

Answer:

  3x +2y -7

Step-by-step explanation:

The given expression can be simplified by combining like terms. Those are terms with the same variable. The commutative and associative properties of addition apply, as well as the distributive property.

   (2x +3y -7) +(x -y) . . . . . given

  = 2x +3y -7 +x -y . . . . . . eliminate (unneeded) parentheses

  = (2x +x) +(3y -y) -7 . . . . group like terms

  = (2+1)x +(3-1)y -7 . . . . . . combine coefficients of like terms (this is an application of the distributive property)

  = 3x +2y -7

5 0
3 years ago
Does the point (1, -1) lie on the line (-10x + 5y = -8)? Explain why/why not.​
romanna [79]
<h3>hello!</h3>

In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.

In this case, the x-coordinate is:-

\mathrm{1}

and the y-coordinate is:-

\mathrm{-1}

Plug in the values:-

\mathbf{-10(1)+5(-1)=-8}

\mathbf{-10-5=-8}

\mathbf{-15=-8}

Huh?!

As you can see, we ended up with a false statement.

Hence, the answer is:-

\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

5 0
2 years ago
Read 2 more answers
Other questions:
  • How much did Briana save by purchasing a backpack that costs $45 with a sales promotion of 20% off instead of a backpack that co
    15·2 answers
  • Which list shows the in greatest to least?<br><br>(NEED ASAP)
    7·1 answer
  • if each of the 254 students who perform on stage has 3 friends come to see the musical, and each of the 137 students working bac
    12·1 answer
  • A line that has a slope of -2/5 and passes through the origin
    9·1 answer
  • 3.
    15·2 answers
  • Bryan drives up to a traffic circle from Elm Street. He drives 15 meters around the circle is a perfect circle with a radius of
    8·2 answers
  • The water level in a lake decreased by 2 1/4 inches in march and increased by 1 5/8 inches in april. Determine wether the water
    10·1 answer
  • Transforming the graph of f into graph of g where f (x) =square root of x and g (x)=square root of x+3
    5·1 answer
  • What is the value of point A ? ---------
    11·2 answers
  • What is solution to this system of equations? x + 4y = 12 and x = 0<br>PLSSS hurry​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!