What are the domain and range of the function fix) = x* - 2x2 - 4?

What Are The Domain And Range Of The Function Fix) = X* - 2x2 - 4?

Answers

Answer 1

Answer: domain(-oo,oo). range= f(x) >-5

Step-by-step explanation:


Related Questions

please awnser the question below

Answers

The slope-intercept forms for the graphs 5, 6, 7, and 8 are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, and y = 25x respectively.

What is slope-intercept form?

The line with m as the slope, m and b as the y-intercept is the graph of the linear equation y = mx + b. The values of m and b are real integers in the slope-intercept form of the linear equation.

First, find out the y-intercept(s).

The y-intercepts are the starting point of the lines in the graph.

For graph number 5, the starting point is 6.

For graph number 6, the starting point is 150.

For graph number 7, the starting point is 20.

For graph number 8, the starting point is 0.

Now find the slopes.

For graph number 5, the line goes down 1 unit and moves to the right 2 units, so the slope would be -1/2 (rise/run).

For graph number 6, the line goes up 100 units and moves to the right 2 units, so the slope would be 100/2 (rise/run) or 50.

For graph number 7, the line goes up 10 units and moves to the right 3 units, so the slope would be 10/3 (rise/run).

For graph number 8, the line goes up 25 units and moves to the right 1 unit, so the slope would be 25/1 (rise/run) or 25.

Then plug into the slope-intercept form : y = mx + b.

Where, m is slope and b is the y-intercept.

Graph 5: y = (-1/2)x + 6.

Graph 6: y = 50x + 150.

Graph 7: y = (10/3)x + 20.

Graph 8: y = 25x + 0 or y = 25x

Therefore, the equations are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, y = 25x.

To learn more about slope-intercept form from the given link

https://brainly.com/question/19440459

#SPJ1

Solve for x 3 /11 = x /3 Give your answer as a fraction in its simplest form.

Answers

Answer: x 33/5

Step-by-step explanation:

Answer: 9/11

Step-by-step explanation:

Step 1: Cross-multiply.

3/11 = x/3

(3)*(3) = x*(11)

9 = 11x

Step 2: Flip the equation.

11x = 9

Step 3: Divide both sides by 11.

11x/11 = 9/11

x = 9/11

HURRY!!

The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 167 centimeters.

Which measurement is closest to the volume of the cylinder in cubic centimeters?

A. 251. 3

B. 4,021. 2

C. 1,005. 3

D. 628. 3

Answers

Since the circumference of the base is given, the radius can be calculated as r = (circumference / 2π) and the volume as V = πr2h. The volume of the cylinder is therefore approximately 628.3 cubic centimeters.

1. Calculate the radius of the base of the cylinder. The circumference of the base is 167 centimeters. Rearranging this gives

r = C / 2π. Therefore,

r = (167 / 2π)

= 26.6 cm.

2. Calculate the volume of the cylinder. The formula for volume is V = πr2h. Therefore,

V = π(26.6)2 * 5

= 628.3 cubic centimeters.

or

r = (167 / 2π) = 26.6 cm

V = π(26.6)2 * 5 = 628.3 cubic centimeters

To calculate the volume of the cylinder, the radius of the base must first be calculated. This can be found by using the formula C = 2πr, where C is the circumference and r is the radius The circumference of the base of the cylinder is 167 centimeters, so the radius can be calculated as r = (167 / 2π) = 26.6 cm. The volume of the cylinder can then be calculated using the formula V = πr2h, where h is the height of the cylinder. In this case, the height is 5 centimeters, so the volume is V = π(26.6)2 * 5 = 628.3 cubic centimeters. This is the closest measurement to the volume of the cylinder.

Learn more about radius here

https://brainly.com/question/15047456

#SPJ4

what is the value of 5h(-2)+3g(0)?

Answers

Answer: -10h

I just put it into the calculator

Answer:

-32

Step-by-step explanation:

At x = -2, the h is calculated using the second piece::

h(-2) = (-2 + 3)(-2 - 2) = -4

At x = 0, the g is calculated using the first piece:

g(0) = (0 + 1)² - 5 = 1 - 5 = -4

The value of the given expression is:

5h(-2) + 3g(0) = 5(-4) + 3(-4) = -32

How to find a side length of a right triangle with an angle and a side?

Answers

Using trigonometric functions, we can  find a side length of a right triangle with an angle and a side.

What is the trigonometric ratio?

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).

To learn more about ratios visit:

https://brainly.com/question/1504221

#SPJ4

If 14 more than the product of -3 and a number x
is less than 56, which values could represent x?
Check all that apply. Write and solve the inequality.
-17
-14

-21
-2
-9
-15

Answers

bring the variable to the left side and bring all the remaining values to the right side.

How do you write a step-by-step inequality?

Image search results for Write the inequality and solve it. -17 -14 ■ -21 -2 -9 -15

To fix an inequality, use these steps:

Step 1: Remove fractions by multiplying all terms by the fractions’ least common denominator.

Step 2 Simplify the inequality by merging like words on either side.

Step 3 Subtract or add amounts to get the unknown on one side and the digits on the other.

In algebra, the letter “x” is frequently used to represent an unknown value. It is referred to as a “variable” or “unknown” at times. X is a variable in x + 2 = 7, but we can deal with it.

To learn more about inequality to refer:

https://brainly.com/question/28823603

#SPJ1

2 The test statistic in a two-tailed test is z=-2. 75 use a 0. 05 significance level to find the P value and state the conclusion about the null hypothesis

Answers

The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.

What Is Two-Tailed Test?

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.

A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.

It is employed in testing the null hypothesis and determining statistical significance.

The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.

Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.

How to calculate the p-value?

Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.

To know more about  Two-Tailed Test refer to:

brainly.com/question/4621112

#SPJ4

Select the graph that best represents the solution set of the system of linear inequalities





It’s Due today pls help out

Answers

I think C
Hope it helps

(WILL GIVE BRAINLIEST IF CORRECT) Find the equation of the line that passes through (1,3) and is perpendicular to y = 2 x + 3 . Leave your answer in the form y = m x + c

Answers

Answer:

y = -1/2x + 7/2  

Step-by-step explanation:

least to greatest 16%, 1/10, 0.14, 0.9​

Answers

Answer:

1/10, 0.14, 16%, 0.9

Step-by-step explanation:

Convert each number to either fraction, decimal, or percent.

1/10 10/100 0.1 10%

      14/100 0.14 14%

      16/100 0.16 16%

      90/100 0.9 90%

Answer:

1/10 < 0.14 < 16% < 0.9​

Step-by-step explanation:

16% = 0.16

1/10 = 0.10

0.9 = 0.90

0.10 < 0.14 < 0.16 < 0.90 = 1/10 < 0.14 < 16% < 0.9​

heeeeeeeeeeeeeeeeelp

Answers

Answer:

well i know 3 is the lowest but i don't know how high it goes.

Range is where the graphs highest and lowest.

Step-by-step explanation:

https://youtu.be/fyROLkZc75E

How can I do math fast?

Answers

To do Maths fast follow the steps:

Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.What is Maths ?

Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.

The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.

There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.

Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.

To learn more about Maths refer to :

brainly.com/question/29286093

#SPJ1

complete the square to find the vertex of the parabola.

Answers

Answer:

y = (1/4)(x - 6)² + 8

Step-by-step explanation:

x² - 4y - 12x + 68 = 0

put in standard form

-4y = -x² + 12x - 68

4y = x² - 12x + 68

y = (1/4)(x² - 12x + 68)

use 1/2 the x coefficent, (-12/2 = -6), as the complete the square term

y = (1/4)(x - 6)² + 68/4 - (1/4)(-6)²

y = (1/4)(x - 6)² + 17 -9

y = (1/4)(x - 6)² + 8

Answer:

The answer would be (6,8)

Step-by-step explanation:

You welcome fill in 6 then 8 .

Evaluate this expression. 4 – (10 – 3^2)

Answers

Answer:

3

Step-by-step explanation:

The answer for this expression is 3

Find the area of a circle with a radius of 3 (AREA) explain

Answers

area = 28.27 because pi x the radius^2 (which is 3) equals 28.27

What is the answer of 7x 5 2x?

Answers

The answer to the given that is 7x 5 2x question is  70

Explanation: In this case the answer is calculated by performing the operations in the order they are written. First, we multiply 7 and 5, which gives us 35. Then, we multiply 2 and x, which gives us 2x. Finally, we add 35 and 2x, resulting in 70

Multiplication is an arithmetic operation that involves multiplying two numbers together to produce a third number. It is usually represented by the multiplication sign (×) and is one of the four basic operations in mathematics. Hence the correct answer is 70.

To know more about multiplication here

https://brainly.com/question/15652935

#SPJ4

Grant reads as part of his homework each week. - he must read for at least 4 hours each week as part of his homework. - This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. PLEASE HELP ME

Answers

A statement which best describes the solution set of the given inequality 5n + 1.5 ≥ 4 is: C. all rational number values of n that are at least 0.5.

What is a rational number?

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.

Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;

5n + 1.5 ≥ 4

Subtracting 1.5 from both sides of the algebraic inequality, we have:

5n + 1.5 - 1.5 ≥ 4 - 1.5

5n ≥ 2.5

Dividing both sides of the algebraic inequality y 5, we have:

n ≥ 2.5/5

n ≥ 0.5

Read more on inequality here: brainly.com/question/27166555

#SPJ1

Complete Question:

Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers, n, of hours he could read on each of the 5 weekdays this week. The graph is shown.

Which describes the solution set of the inequality?

A. all whole number values of n that are at least 1

B. all whole number values of n that are greater than 1

C. all rational number values of n that are at least 0.5

D. all rational number values of n that are greater than 0.5

heyy! i’ll give brainliest please help.

Answers

Answer:

The answer is a "Weather occurs because the climate is costantly changing"

Answer:

A (climate is the trend in weather over a long period of time)

Step-by-step explanation:

what is -7 divided by 3/4 ?

Answers

Answer:

-9.333333333333333333333

Step-by-step explanation:

Answer-9 1/3

Step-by-step example

first, multiply 7x4 over 3 then next to that cross multiply that with 28 over 3

then simply that which’s gets to 28 over 3 then you get your answer 9.3333 then simplify that and you get 9 1/3

William deposited $7500 into an account that accumulated simple interest at a rate of 2.5% a year. At this rate, how long would it take for the account to reach $10,312.50?

Answers

Answer:

15 years

Step-by-step explanation:

$10,312.50-$7500 = $2,812.50 in interest we need over time

7500 x 2.5= $187.50/year (interest)

$2,812.50 / $187.50 = 15 years

A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?

Solve these problems any way you choose.

Answers

1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                 = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                    = 100,000 AA Batteries

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ1

How do you find the third side?

Answers

The third side of a triangle can be found using the Pythagorean Theorem.

This states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side (the hypotenuse).

Let's say you have a triangle with sides a, b, and c, where c is the longest side. To find c, you can use the following formula:

c = √(a2 + b2)

For example, if you have a triangle with sides a = 4 and b = 5, then c = √(42 + 52) = √41 = 6.4. Therefore, the third side of the triangle is 6.4.

To calculate this using steps, you would first square the two shorter sides of the triangle:

a2 = 4 x 4 = 16

b2 = 5 x 5 = 25

Then, add the two squares together:

16 + 25 = 41

Finally, take the square root of the sum to find the length of the third side:

√41 = 6.4

Therefore, the third side of the triangle is 6.4.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ4

Could someone solve these for me with the work for extra points please!! I’ll mark the brainiest

Answers

a. 800[tex]m^{2}[/tex]

b. 96,568.54 ft^2

The formula for solving for surface area of a pyramid is: B + (1/2*P*l), with B being the area of the base, P being the perimeter of the base, and l being the slant of the pyramid.

Steps for a:

16*16 = 256 (this is the B) 16*4 = 64 (this is the P)(1/2*64*17) = 544 (17 is the slant)256 + 544 = 800

Steps for b:

200*200 = 40,000 (this is the B)200*4 = 800 (this is the P)This step is a bit tricky, but to find the slant of the pyramid, use the Pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]: [tex]100^2 + 100^2 = 20,000[/tex]. Then, use the square root of 20,000 to find the slant (141.4213562(1/2*800*141.4213562) = 56,568.5424840,000 + 56,568.54248 = 96,568.54 ft^2

Hope this helps!

8.
Round off 48.992 to 2 decimal places.
A. 48.99
B. 48.90
C. 48.00
D. 49.00​

Answers

Answer:

A.48.99

48.992 two is less than five soo you leave it at that point and assume the 2.

A and D work. A because you round 2 down which leaves you with 48.99. D because if you round 0.9 up you’ll get 49.

Help me, its geometry pls show everything.

Answers

It is assumed the given figure is a parallelogram.

Use properties of a parallelogram:

opposite sides are parallel and congruent,diagonals bisect each other.

Find the missing values:

ML = NP = 12 m, opposite sides are congruent,LP = MN = 10 m, opposite sides are congruent,m∠LPM = m∠NMP = 62°, alternate interior angles are congruent, as LP║MN and MP is transversal,LN = LQ*2 = 9*2 = 18 m, as Q is the midpoint of LN,m∠MLN = m∠PNL = 32°, alternate interior angles are congruent, as ML║NP and LN is transversal,QN = QL = 9 m, as Q is the midpoint of LN.

Why is there a horizontal asymptote?

Answers

The reason behind horizontal asymptote is defined as the end behavior of the function.

The term asymptote in math is known as a straight line that constantly approaches a given curve but does not meet at any infinite distance.

Here we need to list down the reason behind horizontal asymptote.

As we all know that the horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞. Here we also know that the slant asymptote of a graph is a slanted line y = mx + b where the graph approaches the line as the inputs approach ∞ or –∞.

Therefore, through the definition we know that the horizontal line to which the graph of the function appears to coincide with but it doesn't actually coincide.

To know more about asymptote here,

https://brainly.com/question/2303876

#SPJ4

the coordinates of the vertices of parallelogram QRST are given. What would be the coordinates of the vertices after a dilation with a scale factor of 1/3 centered at the origin Q (-6,9) R (6,9) S (0,-9) T (-12,-9)

Answers

Answer -2,3. 2,3 3,-3 -4 -3

Step-by-step explanation:

Answer:

Q (-2, 3)
R (2, 3)

S (3, -3)

T (-4, -3)

Step-by-step explanation:

Good luck kiddos :)

34,590 rounded to the nearest ten?

Answers

Answer:

34,600

Step-by-step explanation:

Answer:

30,000

Step-by-step explanation:

34,590 rounded to the nearest tenth is 30,000

Which of the following represents a rotation of △LMN, which has vertices L(4,5), M(0,2), and N(−2,−4), about the origin by 180°?

Answers
a)
L (−4, −5)
M (2, 4)
N (0, −2)

b)
L (−5, −4)
M (−2, 0)
N (4, 2)

c)
L (−4, −5)
M (0, −2)
N (2, 4)

Answers

Answer:

C

Step-by-step explanation:

Geometrically: if we set a circle at the point of origin and it's radius is one of the points (I used L), then we simple rotate the point 180 degrees around the circle and discover our new coordinate.

doing this for all three points yields C.

Answer:

L (−4, −5)

M (0, −2)

N (2, 4)

Step-by-step explanation:

The rule for this particular rotation is: (x, y)→(−x, −y).

To visualize why this is the case, the rotation can also be seen as the 180°clockwise rotation of the x- and y- axes about the origin while the figure remains in place. This rotation changes all x distances into x distances of the opposite sign, and all y distances into y distances of the opposite sign.

Apply the rule to each of the vertices of the triangle.

L(4, 5) → L'(−4, −5)

M (0, 2) → M' (0, −2)

N (−2, −4) → N' (2, 4)

Therefore, the coordinates of the vertices of the rotated triangle are

L' (−4, −5)

M' (0, −2)

N' (2, 4)

Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.







Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.

Answers

Yes Jerome's sister is correct.

The answer to the table is given below.

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here:

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.

Drink mix     3  6    9   12   15

water cups   8  16   24  32  40 

we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.

Hence, The complete table is shown above.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ1

Other Questions
For every described currently living species of organism, there are about ________fossil species.O 2O 1/6O 100O 6O 1/100 What are 3 causes of genetic variation? Susan earns $10 per hour tutoring elementary students in math. She also earns $15 perhour cleaning in the library. Her goal each week is to earn at least $240 while working nomore than 20 hours.Let e represent the number of hours Susan works in one week tutoring elementary students,and let c represent the number of hours Susan works in one week cleaning the library.Which inequalities represent Susan's weekly goal of earning money? A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $13 each? 3) Which of the following is a true statement?A: Ice cannot float on water.B: Carbon is a part of the compound of water.C: Water is a universal solvent.D: Hard water is good for making soap lather. PLS HELP ME PLS Cleaning lady to leading ladyQ 1) what are soname's dearest wishes for the future. Subject: english Simplify: (6a +5)(4a+5) Describe how the graph might be misleading. Then explain how someone might misinterpret the graph Answer For Both Graphs And 25 Points!!! Select perpendicular lines from the given pair of lines :Select one:a.y = 3x + 7, y = 3x + 11b.y = 3x + 7, y = x / 3 + 11c.y = 3x + 7, y = x / 3 + 11d.y = 3x + 7, y = x / 3 + 11 Which government agency gives mortgage loans to people who mayotherwise have difficulty purchasing a home? A. The Federal Trade commissionB. The interstate trade commission C.the federal reserve D . The veterans administration How many x-intercepts does the graph of each quadratic equation have? Show your work. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P = 50 kN. The elongation of the rod is delta = 1.40 mm and its diameter becomes df = 19.9837 mm. Determine the modulus of elasticity (E) and the modulus of elasticity in shear (G). Assume the material does not yield. Which of the following is true about drug therapy?Immersive Reader(1 Point)A.It is usually accompanied by electroshock treatments.B.It involves four main types of psychoactive medications.C.It is rarely effective without surgery.D.It relies mostly on the placebo effect. Alison's dress shop buys dresses from McGuire Manufacturing. Alison purchased dresses from McGuire on July 17 and received an invoice with a list price amount of $6,000 and payment terms of 1/10, n/30. Alison uses the net method to record purchases. Alison should record the purchase at: Group of answer choices 7. Kya picks up where she left off in her book and starts reading. After 2 hours, she's on page 195. After reading for 4 hours that day, she's on page 297. Write an equation to represent how many pages Kya reads per hour. I did the equation= y=51x+93 There are a total of 399 pages in the book. How many more hours does Kya have left to read? PLEASE HELP WILL THIS PART I DONT UNDERSTAND Which of the following elements when the central atom could exhibit sp 3 d 2 hybridization?C, S, N, B PLEASE HELP ME ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Which new country was formed as a result of Indias independence in 1947?A. AfghanistanB. PakistanC. BangladeshD. None of the Above Ethanol (C2H5OH) melts a - 144 oC and boils at 78 C. The enthalpy of fusion of ethanol is 5. 02 kj/mol, and its enthalpy of vaporization is 38. 56 kj/mol. The specific heats of solid and liquid ethanol are 0. 97j/g - k and 2. 3 j/g - K, respectively. (a) How much heat is required to convert 42. 0 g of ethanol at 35 C to the vapor phase at 78 C? (b) How much heat is required to convert the same amount of ethanol at - 155 oC to the vapor phase at 78 C? A pen producer in a monopolistically competitive market recently changed ink suppliers which caused a decrease in total cost of production. Using the data collected below, which includes the firm's new cost schedule, what should this firm set price and quantity at to maximize profits on pen sales? Costs of Production for Boxes of Pens Price Quntity Total Revenue Total Cost Marginal Revenue Marginal Cost $16 0 $50 $15 50 $750 $700 $15 $13$14 100 $1,400 $1,350 $13 $12$13 150 $1,950 $1,850 $11 $11$12 200 $2,400 $2,350 $9 $10$11 250 $2,750 $2,800 $7 $9$10 300 $3,000 $3,200 350 $3 $7 Can yall help me with socratic seminar answers to these questions about Fahrenheit 4511. What is the significance of Bradbury having the story take place in the season of autumn?2. In the beginning of the book, Montag says that it is illegal for firemen to read the books they burn. However, Captain Beatty seems to have read a whole bunch of books. Based on how Beatty talks about books, what do you think his experience with books was like?3. When Montag comes back on land after escaping the Hound, he sees a fire with people sitting all around it. Here, he realizes that fire is also capable of warming and not only burning. What are some similar moments in other books or shows where the characters realize they are seeing an object or a natural force with the wrong perspective?