Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = 2. It has a maximum at 5 and a minimum at negative 1. It goes through one cycle at pi. y = negative 3 sine (2 (x + pi)) + 2 y = negative 3 sine (x + pi) + 2 y = 3 sine (4 (x minus pi)) + 4 y = 3 sine (2 (x + pi)) + 2

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

We want to find a sine function such that:

it has a y-intercept equal to 2.it has a maximum of at 5, and a minimum at -1.it goes through one cycle at pi.

The given options are:

y = -3*sin(2*(x + pi)) + 2 y = -3*sin(x + pi) + 2 y = 3*sin(4*(x - pi)) + 4 y = 3*sin(2*(x + pi)) + 2

Notice that the first information that we have, implies that y must be equal to 2 when x = 0.

Knowing that we can discard the third option which has a y-intercept of 4.

Now the second. Remember that for a general function:

y = A*sin(k*x) + M

Where A is the amplitude and M is the midline, the maximum and minimum are given by:

A + M

-A + M

In all the remaining options we have:

A  = ± 3

M = 2

We can see that with these we get the maximum and minimum of 5 and -1.

Finally, we know that it goes through one cycle at pi.

This means that if f(x) is the function, then:

f(x) = f(x + pi)

Also remember that for a general sine function, we have:

sin(x) = sin(x + 2*pi)

Ok, now let's analyze the options (only the sine part)

1) sin(2*(x + pi)) = sin( 2*x + 2*pi) = sin(2*x)

if we evaluate this in x + pi, we will get:

sin(2*( x + pi + pi)) = sin(2*(x + 2*pi)) = sin( 2*x + 4*pi) = sin(2*x)

So yes, option 1 is a correct option (you also can see that option 4 has the exact same sine part, so that option is also correct.)

2) for the second option the sine part is:

sin(x + pi)

if we evaluate this in x + pi we get:

sin(x + pi + pi) = sin(x + 2*pi) = sin(x)

and we have:

sin(x +pi) ≠ sin(x)

Then this function does not go through one cycle at pi.

We can conclude that the two options that meet all the conditions are the first one and fourth one:

1) y = -3*sin(2*(x + pi)) + 2

4) y = 3*sin(2*(x + pi)) + 2

We can't say which one is correct if we do not look at the graph.

If the function starts increasing, then (2) is the correct one, if the graph starts decreasing, then (1) is the correct one.

Below, you can see a graph of both functions:

The green one is y = 3*sin(2*(x + pi)) + 2,  the blue one is y = -3*sin(2*(x + pi)) + 2

If you want to learn more, you can read:

https://brainly.com/question/14068845

Which Of The Following Could Be The Equation Of The Function Below? On A Coordinate Plane, A Curve Crosses

Related Questions

Evaluate.
4+ (3+5)*3 =

Answers

Answer: 28

Step-by-step explanation: Follwing PEMDAS, add the 3 and 5 in the parentheses first. You get 8, then multiply by 3, which gives you 24. Add 4 to 24 and it will give you 28.

Answer:

If i'm not mistaken, using PEMDAS which is parenheses, exponents, multiplication, division, adding and subtracting, the answer will be 28.

Step-by-step explanation:

3+5=8

8 * 3= 24

24 + 4= 28

A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....

Answers

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

I NEED HELP QUICKKKKKKKKK PLZ
-1/2(-3y+10)

Answers

Answer:

I think its 1.5y-5

Step-by-step explanation:

-1/2×3y=1.5y

-1/2×3=-5

6% of x = 1.2; what is x

Answers

Answer:

x =20

Step-by-step explanation:

6% of x = 1.2

Change percent to decimal form

.06x = 1.2

Divide each side by .06

.06x / .06 = 1.2/.06

x =20

Answer is X=20 change % to a decimal

Factor out the Greatest Common Monomial Factor 8a + 86

Answers

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

Hello, I need help to figure out the arc measure of AH and GC. Could someone please give me the answer as well as the work ?

Thank you in advance!

Answers

Answer:

AH=AB and GC=CB

Step-by-step explanation:

HELP PLEASEEEE FAST
128
164
140

Answers

Answer: 140 m3

Step-by-step explanation:

Multiply the area of the trapezoid face by the length .

Since the area is 20, you multiply it by 7 to get 140

Answer:

140 m^3

Step-by-step explanation:

This is a prism with a trapezoid base.

The volume if a prism is

V = (area of base) * height

The base is the trapezoid in the front face. The height is the distance between bases which is 7 m.

area of trapezoid = (b1 + b2)h/2

In the area of the trapezoid, h is the height of the trapezoid which is the distance between parallel bases. It is 4 m in this case.

V = (area of base) * (height of trapezoid)

V = (8 m + 2 m)(4 m)/2 * 7 m

V = 20 m^2 * 7 m^2

V = 140 m^3

37.5(3.8-x)+90x=300 please help me

Answers

Answer:

I’m just copying his answer which is 3

Step-by-step explanation:

at least I tried

Answer: 3

Step-by-step explanation:

37.5 (3.8-x) + 90x = 300

First, you have to simplify, by using the Distributive Property.

142.5 - 37.5x + 90x = 300

Now, add the like terms

142.5+ 52.5x = 300

Now, isolate the variable, meaning the variable has to be on one side on its own. You would have to subtract 142.5 and move it to the other side

52.5x = 300 - 142.5

52.5x = 157.5

Then, you divide!

[tex]\frac{52.5x}{52.5x}[/tex] = [tex]\frac{157.5}{52.5x}[/tex]

= 3

-1 3/7 • (-3 2/5)
Find the product simplify if possible

Answers

Answer:

6 4/5

Step-by-step explanation:

-1 3/7 • (-3 2/5)

Let's turn them both into fractions with no whole numbers to make this easier:

-10/7 • -17/5

Now we can multiply straight across much easier!

170/35 (the negatives canceled each other out)

34/5 (simplified)

6 4/5 (answer)

Hope this helps! Please mark Brainliest :)

4
A ramp made of solid concrete for wheelchairs is to be made to the dimensions shown below. How many
cubic meters of concrete will be needed to make the ramp?
2m
0.6m
20m

Answers

Answer:???

Step-by-step explanation:

Find the domain and range

Answers

Answer:

Domain: x = all reals

Range: y is less than or equal to -4

If a cube has a volume of 27mm3,
what is the length of one side?

Answers

Answer:

Step-by-step explanation:

Answer:

9mm

Step-by-step explanation:

since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube

Pls someone I need help

Answers

Answer:

B. Dan walked uphill, then downhill.

Step-by-step explanation:

The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!

What is the slope of the line that passes through the points (3, 4) and (0,–2)?
Write your answer in simplest form.

Answers

Answer:

Slope = 1/2

Whole equation: y = 1/2x - 2

Step-by-step explanation:

Equation: y = mx + b

(3 , 4) and (0 , -2)

[tex]\frac{0 - 3}{-2 - 4} = \frac{-3}{-6} = \frac{1}{2}[/tex]

y = 1/2x + b

---------------------------------------------------------------------------------------------

-2 = 1/2(0) + b

-2 = b

In the expression 16x + 2x – 5y + 17, which terms are “like terms”?

Also i didn't mean to say exam on last question, turns out it was a quiz, my bad it just has alot of questions over 4, it has 6.

Answers

the like terms are 16x and 2x

Answer:

16x and 2x have like terms

What is the volume of the right cone below?

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Answer A is correct.

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries 54, 81, 135. the third column is labeled average household age 40 or older with entries 23, 92, 115. the fourth column is labeled total with entries 77, 173, 250. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries W, Y, 0.54. The third column is labeled average household age 40 or older with entries X, Z, 0.46. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which value should she use for X? Round to the nearest hundredth. 0.09 0.20 0.25 0.30

Answers

Answer:

For X they would have to divide the number from the first given chart for average household of the people that are ages 40 or under, which is 23, by the total internet, which is now 77.

Therefore, X = 23/77 = 0.2987, which would round to 0.30

Mark as brainliest please, I need a few more :)

Answer:

.30

Step-by-step explanation:

                 < 40      > 40    total

internet       54        23     77  

cable          81        92      173  

total            135       115     250

                 < 40      > 40    total

internet      w       x     1  

cable          y          z      1

total            .54       .46     1

x is 23 /77 =.29870

What is the volume of a rectangular prism that measures 45units long, 25 units wide, and 35 units high?

Answers

Answer:

39375

Step-by-step explanation:

All you have to do is just multiply the length x width x height.

Answer:

Find a rectangular prism in your house exactly the same as this one,them you'll know the answer

Solve the system of equations.
- 4x + 1ly = 15
x = 2y​

Answers

-4x+11y=15
x=2y

-4(2y)+11y=15
-8y+11y=15
-3y=15
-3y/-3=15/-3
Y=-5

X=2y
X=2(-5)
X=-10

Please, someone, help me quickly!!

Answers

Answer:

(B)

Step-by-step explanation:

The value of 9 is more than the value than 4.

Therefore,

9 > 4.

4 is not greater than 9, and nine is not less than four.

Brainilest Appreciated!

how many faces does this pyramid have?
ASAP WILL MARK BRAINLIEST!!!

Answers

Answer:

I believe it is 5

Step-by-step explanation:

by counting all sides

Answer:

5

Step-by-step explanation:

hi annalise!

Order the following numbers from least to greatest.
Put the lowest number on the left.
24. 72. 48. -24.

Answers

Answer:

-24, 24,48,72

Step-by-step explanation:

The volume of the cylinder below is 108π cm^3.

Select the correct radius.
a.) 3 cm
b.) 6 cm
c.) 12 cm
d.) 36 cm

Answers

Answer:

i think it is d or c idk

Step-by-step explanation

108 divided by 3 is 36 idk if you have to divide by 2 but i think its d

14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.

Answers

Answer: 0.34

Step-by-step explanation:

From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.

If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions

= 20/34 × 19/33

= 380/1122

= 0.34

Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
hl
.

Answers

Answer:

r=21.3 h=32

Step-by-step explanation:

Please help me as soon as possible!

Answers

0.5 is the answer

......

Find the 43rd term of each sequence.
1. 21,12,9,3,...

Answers

Answer:

-231

Step-by-step explanation:

21, 12, 9, 3,...

Below is image

Answer:

-357

Step-by-step explanation:

a + (n-1)d

21+(42)(-9)

21-378

If x+y = b and −x+3y=a, then what is y?

Answers

I honestly don’t know either

help pls!!!!!!!!!!!!

Answers

Answer:

w=9z

Step-by-step explanation:

For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!

Answer:

z = (1/9) w or w = 9z

Step-by-step explanation:

w = 18 , z = 2

if relationship is proportional than z = k (constant) *w

2 = k * 18 divide each side by 18

k = 2/18 = 1/9

Simplify the expression

Answers

Look at the attached picture

Hope it will help you....

Good luck on your assignment

Answer:

for number  one the it is c

Step-by-step explanation:

(6-3)^2

3^2=9

because 3 times 3 equal to 9

it just like saying what  is the answer when you multiply the number by its self

Other Questions
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing! Mr. Dunn drives 64.8km from work at a speed of 48km/h. Mrs. Dunn drives 81.2km from workat a speed of 58km/h. They both leave work at the same time. Show complete working to securefull credits. [4]i. Who arrives home first?ii. How many minutes later is it before the second person gets home?iii. A Coyote is chasing its meal (the Road Runner). Unfortunately, the Coyote has difficultyadjusting to the Road Runners speed but we have a good idea of what it is.plz help me i will mark you as brainliest expand and simplify (2x-1)(x-3) Place the indicated product in the proper location on the grid.(ab - 9)(ab + 8) Joey eats strawberries for lunch. Explain how homeostasis is maintained in the endocrine systems once the fruit has entered Joeys body. This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in square centimeters. What can you predict about how people of the border states felt about Lincoln? A 25ft ladder is propped against a storeroom. The angle the ladder forms is 50. How far up the storeroom does the ladder reach? A complex gear drawing done on a drawing sheet marked M-1 has many section views showing important interior details of the gear. One of the cutting-plane lines is marked at the ends with a callout in a circular bubble that says 7 above a line and M-3 below the line. To find this detail, you would what are the rules for calculating protons Write a properly formatted sentence that describes your favorite song. Be sure to include the title of the song. Some laboratory mice are spotted, due to a dominant gene. Solid color is recessive. A solid color female mouse is mated to a spotted male. Both parents are homozygous. What percentage of mice should be found in the litter? Question 7 Lee las siguientes oraciones sobre la influencia de la cultura mexicana en Estados Unidos. Luego decide si cada una es cierta o falsa. El 45% de la poblacin de Los ngeles es latina, la mayora mexicoamericana. A.Falso B.Cierto 1 points Question 8 Lee las siguientes oraciones sobre la influencia de la cultura mexicana en Estados Unidos. Luego decide si cada una es cierta o falsa. El ro Porcincula pasa por San Antonio, Texas. A.Cierto B.Falso 1 points Question 9 Lee las siguientes oraciones sobre la influencia de la cultura mexicana en Estados Unidos. Luego decide si cada una es cierta o falsa. Hay muchos actores y directores latinos en Hollywood hoy. A.Falso B.Cierto 1 points Question 10 Lee las siguientes oraciones sobre la influencia de la cultura mexicana en Estados Unidos. Luego decide si cada una es cierta o falsa. La palabra chicano se usa para una persona de Estados Unidos de herencia mexicana. A.Cierto B.Falso 1 points Question 11 Lee las siguientes oraciones sobre la influencia de la cultura mexicana en Estados Unidos. Luego decide si cada una es cierta o falsa. Aztln es el lugar de origen de los aztecas segn sus leyendas. A.Cierto B.Falso 1 points Question 12 Lee las siguientes oraciones sobre la influencia de la cultura mexicana en Estados Unidos. Luego decide si cada una es cierta o falsa. El Festival Internacional de Cine de Mar del Plata se celebra en Venezuela. A.Falso B.Cierto On March 25, 2014, Patton Company sold merchandise on account,$10,000. The applicable sales tax percentage is 8.5%. Record the transaction. What was the fate of both Spain and China in the 17th A 25kg box in released on a 27 incline and accelerates down the incline at 0.3 m/s2. Find the friction force impending its motion? What is the coefficient of kinetic friction?A block is given an initial speed of 3m/s up a 25 incline. Coefficient of friction What type of bond is formed during dehydration synthesis?O Acarbon bonds between amino acidsB.carbon bonds between carbohydratesC. hydrogen bonds between lipidsO D. peptide bonds between amino acids Please help as quick as you can! Question is below! Brainliest! Find cos x if sin x =0.82. Which of the following is a good example of inflation?A. You get a flat tire on your car.B. You work three jobs in order to pay your bills.C.It cost you $50 to gas up your car this month. But last month it cost you$85.D.It cost you $85 to gas up your car this month. But last month it only costyou $50.