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
Ivan
3 years ago
11

Choose the function whose graph is given by:

Mathematics
2 answers:
xeze [42]3 years ago
6 0

Answer:

Option B. y = cosx + 1

Step-by-step explanation:

To understand the given graph we will note down it's features as below.

1). Since it's a periodic function and y value of graph is maximum at x=0 so its a cosine function.

2). Vertical shift of the graph is 1 means y=0 is the mid line of the graph.

3). Amplitude of the graph is = (2-0)/2 = 1

4). Phase shift of the given graph = 0

The graph satisfying all properties is option B. y = cosx + 1

Daniel [21]3 years ago
4 0

Answer:

The correct option is B.

Step-by-step explanation:

From the given graph it is clear that the maximum value of the function is 2 at x=0, so it a cosine function.

The general form of a cosine function is

y=a\cos(bx+c)+d       .... (1)

Where, a is amplitude, 2π/b is period, c is phase shift and d is midline.

Since maximum value is 2 and minimum value is 0, so

Amplitude=a=\frac{2-0}{2}=1

Midline=b=\frac{2+0}{2}=1

Period=2\pi\Rightarrow b=1

Since maximum value is at x=0, therefore the phase shift is c=0.

Put these values in equation 1.

y=1\cos(1x+0)+1

y=\cos(x)+1

Therefore the correct option is B.

You might be interested in
Rebecca and Tracy are cutting strips of fabric to make a quilt. Each strip of fabric needs to be 1/3 of a foot long. They have 1
Deffense [45]

48 strips of fabric.

6 0
3 years ago
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rater.
Anni [7]
Interest rate = 7%

I= PRT where I is the interest earned, p is the principal, r is rate as a decimal, and t is time in years.


A - P will give us the interest earned.

12,150 - 9,000 = 3,150

3150 = (9000)(r)(5)
3150 = 45,000r
r = 0.07
r = 7%

4 0
3 years ago
Identify this sequence: 5, 15, 45, 135, …<br> Arithmetic<br> Geometric<br> Neither
user100 [1]

Answer:

5 * 2 is 10 + 5 and then 15 * 2 + 15 45 * 2 + 45

Step-by-step explanation:

times it by to add that number

3 0
3 years ago
Read 2 more answers
What does the main denominator mean?
Assoli18 [71]

Answer: the denominator represents the number of equal parts in a whole, and the numerator represents how many parts are being considered.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The dimensions of a closed rectangular box are measured as 90 centimeters, 50centimeters, and 90 centimeters, respectively, with
gogolik [260]

Answer:

184 cm²

Step-by-step explanation:

Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)

L is the length of the box = 90 cm

W is the width of the box = 50 cm

H is the height of the box= 90 cm

If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;

S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)

Note that dL = dW = dH = 0.2 cm

Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box

S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))

S = 2{18+10+18+18+10+18}

S = 2(92)

S = 184 cm²

Hence, the maximum error in calculating the surface area of the box is 184cm²

5 0
3 years ago
Other questions:
  • Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the
    15·1 answer
  • When asked to factor the x^2-121 a student gives the answer (x-11)(x-11) what is wron with this answer?
    7·2 answers
  • X^3 = -125<br> Show your work.<br><br> PLease help :)
    9·1 answer
  • Solve the inequality for x. Show each step of the solution. 10x&gt;8(3x-2)-12
    12·1 answer
  • Jessica took out a Stafford loan worth $7,175 at the beginning of her six-year college career. The loan has a duration
    11·2 answers
  • Write a problem that can be solved with the equation r divided by 6=14
    11·1 answer
  • From a standard deck of 52 cards, what is the probability of picking a Heart at random from the deck?
    12·1 answer
  • Can you help me with this please???
    13·1 answer
  • A large chocolate shake takes 0.8 of a pint of milk. A small shake takes 0.3 the amount of a large. How much milk does a small s
    10·1 answer
  • Who wants to be tested on their math(11 points)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!