Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.

Answers

Answer 1

histor Grammer

Step-by-step explanation:

lol bhsg HD tcvh by by by g


Related Questions

find slope of a straight line if both intercept are equal​

Answers

Answer:

-1

Step-by-step explanation:

Let the points be (0, a) and (a, 0) (As it mentions the intercepts are equal)

==============================================================

Applying slope formula :

⇒ m = 0 - a / a - 0

⇒ m = -a/a

m = -1

This table shows the music preferences in 14- to 19-year-olds. A Circle Graph was made using this data and presented at a conference.

What could make people at the conference draw wrong conclusions from this Circle Graph?

A. The Country section has the smallest area.
B. The Rap section covers the largest area.
C. The Alternative section is larger than the rock and roll section.
D. The Classical section is not included in the Circle Graph.

Answers

The wrong conclusions that can be drawn from the circle graph are:

The Country section has the smallest area.

The Classical section is not included in the Circle Graph.

What is a circle graph?

A circle graph is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

In the circle graph, the country section has a percentage of 10% while the classical section has a percentage of 2%.

Please find attached an image of the circle graph. To learn more about circle graphs, please check: https://brainly.com/question/26250795

#SPJ1

Answer:

the answer is D  

Step-by-step explanation:

look at the table there are 5 music genres but there's only 4 on the circle graph.

algebra 2 pls help ill give brainliest

Answers

Answer:

a = -2

p = 2

w = 3

Step-by-step explanation:

The degree of the polynomial is 6 as it has five turning points.

From inspection of the graph it appears that the curve touches
the x-axis at x = 1.  

Therefore, a factor is (x - 1) with multiplicity of 2:   (x - 1)²

The curve appears to cross the x-axis at x = 2.

Therefore, a factor is (x - 2), so p = 2

There appears to be a point of inflection at x = -1

Therefore, a factor is (x + 1)³, so w = 3

The y-intercept appears to be at (4, 0)

The product of the constants of the found factors is:  

⇒  1³ × (-1)² × (-2) = -2

Therefore, to find the value of a:

⇒ 4 = -2a

a = -2

Therefore, the polynomial function is:

f(x) = -2(x + 1)³ (x - 1)² (x - 2)

Charlotte recorded the number of minutes she spent exercising in the past ten days: 12, 4, 5, 6, 8, 7, 9, 8, 2, 1. Find the median of the data.

Answers

Answer:

6.5

Step-by-step explanation:

Median is always the middle number of the set of data, so lets re order the numbers least to greatest

1,2,4,5,6,7,8,8,9,12

Since there's an even amount there wont be an exact middle number, however we know its in-between 6 and 7. So we can do 6+7 = 13 and then 13/2 = 6.5 to get the middle number or median.

A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27
Rewrite the formula in factored form and select each true statement below.


The swimmer dives into the water 3 seconds after the timer was started.

The swimmer comes back up 9 seconds after the timer was started.

The swimmer is underwater for 12 seconds.

The swimmer dives into the water 12 seconds after the timer was started.

The swimmer dives to a maximum depth of 27 feet.

Answers

The correct true statement is: b.  The swimmer comes back up 9 seconds after the timer was started.

The swimmer's maximum depth (in feet)

Given:

h(t)=t^2−12t+27

Let velocity of the function= 0

h(t) = 2t - 12

0 = 2t - 12

2t = 12

Divide both side by 2t

t=12/2

t = 6secs

Substitution

h(6) = 6²-12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

The correct statement is b.

Learn more about swimmer's depth (in feet) here:https://brainly.com/question/18521885

#SPJ1

Equation of the circle is x^2 +(y-10)^2=16. The radius of the circle is___units. The center of the circle is at ___

Answers

Answer:

Radius=4 units

Centre= (0,-10)

Step-by-step explanation:

Given equation of circle is x^2 +(y-10)^2=16

Comparing it with (x-h)^2 +(y-k)^2 = r^2 ,we get,

r=4

Since, centre of a circle=(h,k)=(0,-10)

Answer:

Center (0;10) Radius= 4. Make me brainliest? :(

Step-by-step explanation:

[tex](x + 0)^{2} + (y - 10)^{2} = 16 \\ center(0.10) \\ radius = \sqrt{16} = 4[/tex]


The cost of a rice cooker with 13% VAT is Rs 4,068. ​

Answers

Answer:

0.319

Step-by-step explanation:

I have do 13/4068*100percent hope the answer that I have gave is correct

6
the incomplete pictogram shows information about the number of eggs sold
shop on monday.
monday
tuesday
wednesday
on monday the shop sold 18 eggs.
on tuesday the shop sold 24 eggs.
on wednesday the shop sold 27 eggs.
use this information

Answers

The number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

Given on Monday the shop sold 18 eggs. Therefore, each quarter of the circle represents 3 eggs.

Hence, the number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.

Learn more about Graph:

https://brainly.com/question/21608293

#SPJ1

the radius of a circle is 5 in. Find its area in terms of pi.

Answers

Answer:

well the area of a circle is [tex]\pi r^{2}[/tex]

Step-by-step explanation:

since they want it in terms of pi
just say, 25[tex]\pi[/tex]

If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A.
3 and 7
B.
-3 and 7
C.
-7 and -3
D.
-7 and 3

Answers

Answer: B. -3 and 7

Step-by-step explanation:

To find the zeros, just move the constants to the other side,

x - 7x = 7

x + 3x = -3

If the number is moved to the other side its sign becomes opposite

Hope it helps!

the area of a square is 2116 CM square which is equal to the area of a rectangle whose length is 92 cm what is the perimeter of the rectangle​

Answers

Answer:

Perimeter = 230 cm.

Step-by-step explanation:

width of the rectangle = 2116 ÷ 92 = 23

Perimeter of the rectangle = 2×(23 + 92) = 230

Jason and his friend went to a restaurant for dinner. The food that they ordered cost $25. A 7% sales tax was applied to the total.
After the sales tax was applied, Jason paid a 15% tip on the total bill. How much did Jason pay at the restaurant?
OA. $30.76
OB. $28.75
OC. $30.50
OD. $26.75

Answers

Answer:

A. $30.76

Step-by-step explanation:

First find the amount of tax applied to the bill.

Change 7% to a decimal by moving the decimal point two places left.

7% = 0.07

Multiply

25 x 0.07 = 1.75

Add the amount of tax to the total cost.

25 + 1.75 = 26.75

Now find the amount of the tip.

Change 15% to a decimal by moving the decimal two places left.

15% = 0.15

Multiply

26.75 x 0.15 = 4.0125

Add the amount of the tip back into the cost.

26.75 + 4.0125 = 30.7625

Round

30.7625 = 30.76

Suzie's Slushes has increasing profits each week during the hot summer months. Suzie finds that each week during the summer her profits increase by 30% over what they were the previous week. In her first week of business, her profits were $300. How much money will she make in all over 4 weeks

Answers

The amount of money that Suzie will make over the four weeks is; $1856

How to find amount of profit made?

Suzie will make a profit of:

The first week =  $300

The second week =  (300 * 30%) + 300 = $390

The third week = 390 * (1430%) = $507

The fourth week: 507 × (1430%) = $659.1

Thus, Sum of profit = $300 + $390 + $507 + $659.1

Sum of Profit = $1856.1 ≈ $1856

Read more about Profit at; https://brainly.com/question/23916300

#SPJ1

Sandy typed 5 1/2 pages in 15 minutes. at this rate how many pages would sandy type per hour

Answers

Answer:

22 pages per hour.

Step-by-step explanation:

5.5/15 = 0.36666

0.36666 * 60 = 22

Dina is shipping a wall map to a collector. When the map is rolled up, it measures
7 ft long. She will use a box that is a right rectangular prism with a base that is 3 ft
by 3 ft. Which whole number could be the shortest height of the box that will hold
the map?
A 4 ft
B 5 ft
C 6 ft
D 7 ft

Answers

The shortest height of the box that will hold the map is 6 ft option (C) is correct.

What is the Pythagoras theorem?

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Dina is shipping a wall map to a collector. When the map is rolled up, it measures.

From the figure we can apply the Pythagoras theorem to find the length BA:

BA² = 3² + 3²

BA = √18

Again applying Pythagoras theorem:

The height

AD² = 7² - (√18)²

AD² = 31

AD = √31 ft = 5.56 ft ≈ 6 ft

Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.

Learn more about Pythagoras theorem here:

https://brainly.com/question/21511305

#SPJ1

What is the value of x in the equation 1/5x-2/3y = 30, when y = 15?

Answers

Answer:

x = 200

Step-by-step explanation:

Given equation:

[tex]\sf \dfrac{1}{5}x-\dfrac{2}{3}y=30[/tex]

Steps:

1. Substitute 15 as the value of y in the equation:

[tex]\sf \dfrac{1}{5}x-\dfrac{2}{3}(15)=30\ \textsf{[ multiply ]}\\\\\Rightarrow \dfrac{1}{5}x-\dfrac{30}{3}=30\ \textsf{[ simplify ]}\\\\\Rightarrow \dfrac{1}{5}x-10=30[/tex]

2. Add 10 to both sides:

[tex]\sf \dfrac{1}{5}x-10+10=30+10\\\\\Rightarrow \dfrac{1}{5}x=40[/tex]

3. Multiply both sides by 5 to isolate x:

[tex]\sf 5\left(\dfrac{1}{5}\right)x=5(40)\\\\\Rightarrow x=200[/tex]

4. Check your work:

[tex]\sf \dfrac{1}{5}x-\dfrac{2}{3}y=30\ \textsf{[ substitute 200 for x, and 15 for y ]}\\\\\dfrac{1}{5}(200)-\dfrac{2}{3}(15)=30\ \textsf{[ multiply ]}\\\\\dfrac{200}{5}-\dfrac{30}{3}=30\ \textsf{[ divide ]}\\\\40-10=30\ \textsf{[ subtract ]}\\\\30=30\ \checkmark[/tex]

Learn more here:

https://brainly.com/question/12965239

Hey there!

Answer :

[tex] \boxed{\bold{\green{ x = 200}}} [/tex]

[tex] \\ [/tex]

Explanation:

Given expression :

[tex] \sf{ \frac{1}{5} \green{x} - \frac{2}{3} \orange{y} = 30 } [/tex]

1) Substitue 15 for [tex] \sf{\orange{y}} [/tex] :

[tex] \sf{ \frac{1}{5} \green{x} - \frac{2}{3} \orange{ \times 15} = 30 } \\ \\ \implies\sf{ \frac{1}{5} \green{x} - \frac{30}{3} = 30 } \\ \\ \implies\sf{ \frac{1}{5} \green{x} - 10= 30 } [/tex]

[tex] \\ [/tex]

2) Solve for x :

[tex]\sf{ \frac{1}{5} \green{x} - 10= 30 } [/tex]

⇢Add 10 to both sides of the equation :

[tex]\sf{ \frac{1}{5} \green{x} - 10 \: \bold{+ \: 10}= 30 \: \bold{+ \: 10 }} \\ \\ \implies \sf{\frac{1}{5} \green{x} \: = 40 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

⇢Multiply both sides of the equation by 5:

[tex] \Big( \dfrac{1}{5} \green{x}\Big) \: \bold{ \times \: 5}=40 \: \bold{ \times \: 5} \\ \\ \implies \sf{\dfrac{5}{5} \green{x} \: = 200} \\ \\ \implies \green{ \boxed{\sf{x = 200}}}[/tex]

[tex] \\ [/tex]

3) Let's check our answer by replacing [tex] \green{x} [/tex] with 200 and [tex] \orange{y} [/tex] with 15 :

[tex] \sf{\dfrac{1}{5}\overbrace{\green{\times \: 200}}^{\green{x}} - \dfrac{2}{3}\underbrace{\orange{\times \:15}}_{\orange{y}}= \dfrac{200}{5} - \dfrac{30}{30} = 40 - 10 = \boxed{ 30} } [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about first-degree equations:

↣https://brainly.com/question/15154296

↣https://brainly.com/question/14700809

WILL GIVE 100 POINTS PLS HELP RN EVEN IF ITS JUST A FEW

In order to determine the best fit undergraduate program, a high school senior researches the majors offered at the universities he is considering for admissions. The internet search reports that Arizona State University lists nine of their most popular majors and the percent of student population enrolled in the programs.


Popular Majors Percent of Student Body
Biology 8%
Business Marketing 20%
Communications/Journali 6%
Education 5%
Engineering 7%
Interdisciplinary Studies 6%
Psychology 6%
Social Sciences 10%
Visual and Performing Arts 8%

The university’s enrollment is expected to reach at least 20,000 students for the fall semester.
1. The minimum number of students who are expected to be working towards a Social Sciences degree is ???

2. The university requires that any student who is studying Visual and Performing Arts or Communications Journalism must perform in one of the student productions before graduation. At least ??? of the 20,000 students will be performing in the university’s student productions before graduation.

3.
In the fall semester, ???% of the student population will be enrolled in a degree program not listed as one of the university’s most popular.
The most popular degree offered at Arizona State University is ???

4. The most popular degree offered at Arizona State University is ???

5. For the fall semester, the university should expect that ??? students will enroll in one of the two most popular degree programs.

Answers

1. 20,000×10%=2,000

2. 20,000×14%=2,800

3. 20,000×5%=1,000

4. Business Marketing

5. 20,000×30%=6,000

Quadrilateral ABCD​ is inscribed in this circle.



What is the measure of angle B?

Enter your answer in the box.

Answers

Answer:

132°

Step-by-step explanation:

We use the circle theorem which states that :

Opposite angles in a cyclic quadrilateral add up to 180 .

Now we know that angles ADC and ABC add up to 180. So :

We make an equation and solve for x :

x+(3x-12) = 180

4x-12 = 180

4x = 192

x = 48

Now we substitute the value of x into Angle B :

3(48) -12 =

144 - 12 = 132

Angle B = 132 °

Hope this helped and have a good day

Use picture to answer

Answers

Answer:

C. 1

Step-by-step explanation:

this is how you solve it

Need help with this question!! ASAP!! Will give brainliest!!!!

Answers

Answer: x = log₃₇(12)

Step - by - step explanation:

1. Remove the variable from the exponent using logarithms

37^x=12

Take the common logarithm of both sides of the equation:

log₁₀(37^x)=log₁₀12)

Use the log rule:  log_a(x^y)=y*log_a(x) to move the exponent outside the logarithm:

x*log₁₀(37)=log₁₀(12)

2. Isolate the x-variable

x*log₁₀(37)=log₁₀(12)

Divide both sides of the equation log₁₀(37) by:

x = log₁₀(12) / log₁₀(37)

Use the formula  [tex]log_{b}(x)/log_{b}(a) = log_{a} (x)[/tex]

to combine the logarithms into one:

x=log₃₇(12)

Decimal form:

x=0.6881648129099501

Hope this helps!

If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80; what is the actual test score? (Round the answer to the nearest hundredth)

Answers

If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75

How to solve z-score problems?

We are given;

Standard deviation; s = 5

z-score = 1.95

Mean = 80

Formula for z-score is;

z = (x' - μ)/σ

Thus;

1.95 = (x' - 80)/5

1.95 * 5 = (x' - 80)

9.75 = x' - 80

x' = 80 + 9.75

x' = 89.75

Read more about Z-score Problems at; https://brainly.com/question/25638875

#SPJ1

After a storm, a 36-foot tall tree is now leaning
towards a house, making an 87° angle with the
ground. If the angle of elevation from the base of
the house to the top of the tree is 38°, how far is the
tree from the house?

Answers

The distance of the tree from the house is: 45.99 feet

What is angle of elevation?

Angle of elevation is the angle the horizontal makes with the line of sight.

Analysis:

The tree lean towards a house meaning it does not lean on the house but a distance away from the house.

let the distance away from the house be d.

The line of sight intersects the top of the tree at a point.

The height of the point from the horizontal ground is 36 sin 87 = 36(0.998) = 35.92 feet

to find distance of the tree from the house, we use the angle of elevation which is 38  degrees. so that tan 38 = 35.92/d

d = 35.92/0.781  = 45.9 feet

In conclusion, the distance of the tree from the house is 45.9 feet

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

What is the answer to this math problem james works in a factory and wraps 8 packages every hour. how many hours will it take james to wrap 3,736 packages

Answers

By taking a quotient between the number of packages and the rate at which James works, we conclude that he will need 467 hours.

how many hours will it take James to wrap 3,736 packages?

We know that James wraps at a rate of 8 packages in one hour. Then to get the time in which he can wrap a number N of packages, we need to take the quotient between N and 8.

In this case, N = 3,736.

Taking the quotient we get:

3,736/8 = 467

This means that in 467 hours he will wrap the 3,736 packages.

If you want to learn more about rates:

https://brainly.com/question/4931057

#SPJ1

Please Help I Don't Understand

Answers

Answer:

The arrows on the line segments mean that the lines are parallel.

⇒ EB ║ DC

Therefore, according to Triangle Proportionality Theorem, EB divides the two sides AD and AC proportionally.

Therefore:

[tex]\begin{aligned}\sf \dfrac{AE}{AD} & = \sf\dfrac{AB}{AC}\\\\ \implies \sf \dfrac{10}{10+8} & = \sf \dfrac{x}{10}\\\\ \sf \dfrac{10}{18} & = \sf \dfrac{x}{10}\\\\ \sf 10 \cdot 10 & = \sf 18x\\\\\sf 100 & = \sf 18x\\\\ \sf x & = \sf \dfrac{100}{18}\\\\ \sf x & = \sf 5.5555...\end{aligned}[/tex]

As x = 5.55555... round to 5.6 to the nearest tenth,
none of the choices are correct
.

Let's see

Use Thales theorem

[tex]\\ \rm\Rrightarrow \dfrac{AE}{AD}=\dfrac{AB}{AC}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{10+8}=\dfrac{x}{10}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{18}=\dfrac{x}{10}[/tex]

[tex]\\ \rm\Rrightarrow 18x=100[/tex]

[tex]\\ \rm\Rrightarrow x=5.56[/tex]

NOTA

Looking for the answer to this question

Answers

Answer:

Option A: Linear Regression

Step-by-step explanation:

The sale values do not increase in a quadratic or exponential function.

At central high school there are 398 sophomores who do not own a car and 29 who do there are 64 juniors who own a car and 339 who do not there are 123 seniors who own a car compared to 239 who do not complete the two way table to display these data

Answers

The proportion of sophomores that do not own a car is equal to 0.93.

What is ratio?

Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

The proportion of sophomores that do not own a car is given by:

Number of sophomores that do not own a car = 398.Total number of sophomores = 427

Therefore, proportion = 398/427 = 0.93.

The proportion of all students who are seniors who own cars is given by:

Number of seniors who own cars = 123Total number of students = 1192

Therefore, proportion = 123/1192 = 0.10.

The proportion of non-car owners who are juniors is given by:

Number of juniors who are non-car owners = 339Total number of students that do not own a car = 976.

Therefore, proportion = 339/976 = 0.35.

Read more on ratio here: brainly.com/question/13513438

#SPJ1

Complete Question:

At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.

The proportion of sophomores that do not own a car is?

The proportion of all students who are seniors who own cars is?

The proportion of non-car owners who are juniors is?

A sector of a circle has central angle 120 degrees and arc length 10π
centimeters. What is the radius of the circle

Answers

Answer:

the radius = 15 cm

Step-by-step explanation:

let r be the radius of the circle.

→ We know that in circle , the length of an arc

and the corresponding central angle are proportional.

180 corresponds to πr

120 corresponds to 10π

Then

[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]

[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]


Point P is located at (-2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located 2/3 the distance from point P to point R.
A. 4.9
B. 4.7
C. 2.5
D. 2.3

Answers

A 4.9 trust me bro dog solami meat

A rectangle is divided into exactly 20 congruent squares. Then these squares are lined up in a single row extending 36 inches (3 feet). What was the area of the rectangle?

Answers

The area of the rectangle is 64.8 square .inch

What is a Rectangle ?

A rectangle is a polygon with four sides , opposite sides are parallel and equal.

It is given that

A rectangle is divided into exactly 20 congruent squares

If they are lined up the Length is 36 inches

Therefore the length of each square or the side of the square = 36/20

= 1.8 inch

The area of the rectangle will be

20* Side of square * Side of square

=20*1.8*1.8

= 64.8 square inch

The area of the rectangle is 64.8 square .inch

To know more about Rectangle

https://brainly.com/question/15019502

#SPJ1

Which of the following are mathematical sentences? Check all that apply.
A. 5-v
B.7
C. 4+3=7
D. 2<3
Y. 5-re =0
O F. gram

Answers

the mathematical sentence is option c.
Other Questions
What are the zeros of the function f(x)=6x^2+x-40 What property states that changing the order of two or more terms does what to the value of the sum PLEASE HELP!The vapor pressure of benzene at 25 C is 95.1 mm Hg and of toluene 28.4 mm Hg. The mass fractions of benzene and toluene in a solution are 0.5. a) Calculate the partial pressure of benzene and toluene above the solution. b) Calculate the total vapor pressure above the solution. c) Calculate the vapor composition above the solution. What is the value of x?A x = 2B = 3C x = 5D x = 8 Only the rectangular faces will be included in finding the surface area of this prism.A triangular prism.How many faces will be included in finding the surface area? Find the missing angle 120 & 30y = [???] 28. sylvia researched changes in the deer population in her state's parks during her lifetime and found that population has been halved every 8 years. she wrote the equation 4800(8) { = 600 and plans to solve fort to determine in how many years it will take for the current population of 4800 deer to reduce to 600. Calculate the average speed of the object between 1 and 3 seconds. One side of a rectangle is 6 meters shorter than four times another side. Find the length of the longer side if we also know that the perimeter of the rectangle is 58 meters What is Odysseus' plan for concealing from passersby the fact that the suitors have been killed in the house Define the National Environmental Management Act 1. What effect does replacing x with x -4 have on the graph for the function f(x)?f(x)= |x|-5A vertical shift of 4 up.A horizontal shift of 4 to the right.A vertical shift of 5 down.A horizontal shift of 4 to the left.Question 4 Examine this list of events that took place in China during the 20th century.Whichevent or events could possibly have been a cause of the ChineseCultural Revolution? SOUND ENERGY :SCIENCE:If you have A B C and D 4cups and A has nothing A is control Because the pitch is high but why is it important to have control If the _ of the proteins changes, this is called a mutation What is the diligent search for an answer or a solution to a problem called? Which of the following rational functions is graphed below? Simplify please help me with this question The solutions of the cubic function f(x) are -4, 5/3, and 1. identify a factor of this function. a. 3x+5 b. 5x+3 c. x+1 d. x+4 Use the table from Part A to address the following prompt: Write a short analytical paragraph describing how Juliet's character is developed through interactions with other characters.Be sure toinclude a precise claim.use meaningful, relevant, sufficient textual evidence.provide original commentary.revise your paragraph for accurate use of colons before submittingIn this lesson, you analyzed how Shakespeare develops Juliet's character in Romeo and Juliet: Act 1, Scene 3. Shakespeare uses indirect characterization to reveal Juliet's personality, motivations, and traits.Now, consider how the interactions between Juliet and her mother, Lady Capulet, develop Juliet's character. How do you think the relationship between Juliet and her mother might ignite and/or resolve conflicts?