How many points of inflection will f(x) = 3x^7 + 2x^5 - 5x - 12 have?

Answers

Answer 1

The equation: f(x) = 3x^7 + 2x^5 - 5x - 12 will have just one inflection point.

How to calculate inflection point

An inflection point is a point on a curve where the concavity, or curvature, changes. More specifically, it is a point where the second derivative of a function changes sign.

From the given equation, we can find inflection point:

f(x) = 3x^7 + 2x^5 - 5x - 12

by taking the second derivative of this function and set it equal to zero.

f(x) = 3x^7 + 2x^5 - 5x - 12

f'(x) = 21x^6 + 10x^4 - 5

f''(x) = 126x^5 + 40x^3

Now, we need to set f''(x) equal to zero and solve for x:

126x^5 + 40x^3 = 0

2x^3(63x^2 + 20) = 0

x = 0 or x = ±sqrt(20/63)

The point of inflection is only at x = 0.

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Related Questions

Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $9,000, annual interest: 9%, interest periods: 12, number of years: 20
After 20 years, the investment compounded periodically will be worth:
(Round to two decimal places as needed.)
more than the investment compounded annually.

Compare the investment below to an investment of the same principal at the same rate compounded annually.principal:

Answers

After 20 years, the investment compounded periodically will be worth $ 3, 238. 47 more than the investment compounded annually.

How to find the investment value ?

First, find the value of the investment when it is compounded periodically, 12 times a year.

The formula is:

= Amount invested x ( 1 + rate ) ^ number of periods

= 9, 000 x ( 1 + 9 % / 12 ) ^ ¹² ˣ ²⁰

= $ 53, 678. 16

If compounded annually, the value would be :

= 9, 000 x ( 1 + 9 % ) ²⁰

= $ 50, 439. 69

The difference is :

= 53, 678. 16 - 50, 439. 69

= $ 3, 238. 47

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During her presentation to a prospective customer, Lea informed the prospect about the superiority of the new wallboard she was selling. She also brought along a sample so that the building contractor could see and feel the superiority of the product. Lea used a __________ to improve the buyer's understanding of her product.

Answers

Lea used a tangible demonstration to ameliorate the buyer's understanding of her product.

By bringing along a sample of the new wallboard for the structure contractor to see and feel, Lea handed a palpable representation of the product's features and quality. This hands-on approach allows the prospective client to witness the superiority of the wallboard firsthand, which can enhance their understanding and perception of the product.

Palpable demonstrations are effective in showcasing the physical attributes, continuity, texture, or any other palpable aspects of a product that can not be completely conveyed through verbal descriptions alone. This approach can help make trust, credibility, and confidence in the product, making it more compelling and memorable for the buyer.

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What is the volume of the pyramid?

What is the volume of the pyramid?

Answers

Is the Volume of a pyramid 1/3bh

please help w/ this nobody ever answers my questions on here. & if your really good at math could you help me w/ other math problems? please & thank you

please help w/ this nobody ever answers my questions on here. & if your really good at math could

Answers

Answer:

b = 4√6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Trigonometry

Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is hypotenuse

Step-by-step explanation:

Step 1: Identify

We have a right triangle, so we can use PT to solve for the missing side.

Step 2: Define

a = 2

b = ?

c = 10

Step 3: Find b

Substitute:                   2² + b² = 10²Exponents:                  4 + b² = 100Isolate b term:             b² = 96Isolate b:                      b = √96Simplify:                       b = 4√6

4 A popular board game includes a five-section
spinner to determine the number of spaces a
player moves during a turn. The results of
10 spins are shown.
Spin
Spaces
Moved
1 2 3
F 0.1
G 0.6
5 4
4 5 6 7 8 9 10
2 5 1 3 5 4 5 2
What is the experimental probability a player
will move 2 spaces and 5 spaces during a
game?
H 0.08
J Not here

Answers

In an experiment, there is a H 0.08 probability that a player will move both two and five spaces during a game.

What is the simple definition of probability?

Player movement during a turn is determined by a spinner. It displays the outcomes of 10 spins.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities. chances in multiples.

A (1): the probability that a particular occurrence will take place. (2): the proportion of the number of outcomes in a comprehensive set of equally likely options that result in a specific event to the total number of conceivable outcomes. How likely something is to occur is known as its probability. when we are unsure of how an event will turn out.

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Which image shows a translation?

Which image shows a translation?

Answers

The image which shows a translation is image B.

What is translation?

A translation refers to a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Image B shows the translation of the figure from the first quadrant to the second quadrant in the same distance in the same direction.

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Answer:

MY answer got deleted but its B

Step-by-step explanation:

trust me, this isnt incomplete

A cyclist rides into the country at an average speed of 10 miles per hour. When his bike gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?

Answers

The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

How do i determine the distance traveled?

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Speed = 10 mile per hourDistance traveled = yRiding time = ?

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Speed = 3 mile per hourDistance traveled = yWalking time = ?

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Riding time = y / 10Riding time = y / 3Total time = 6.5 hoursTotal distance = y =?

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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Below is the table of values of a function. Write the output when the input is n.input469n+ローロoutput121827ロメロХ?

Below is the table of values of a function. Write the output when the input is n.input469n+output121827?

Answers

As you can see in the given data, each output is 3 times each input:

\(\begin{gathered} 3(4)=12 \\ 3(6)=18 \\ 3(9)=27 \end{gathered}\)

Then

the measures of the angles of a triangle are shown in the figure. solve for x

the measures of the angles of a triangle are shown in the figure. solve for x

Answers

Answer:

X=57.

Step-by-step explanation:

Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.

........................................................................

........................................................................

Answers

Answer:

1

Step-by-step explanation:

........................................................................

Quiz #106 (8.2 & 8.3)
1. The length of the flag
pole's shadow is 36
inches. The woman is 60
inches tall and her
shadow is 12 inches.
BEM189
36
Not drawn to scale
c) Draw two triangles and explain how they
48-72
are similar.
Thy bith XS to
Hor Misant
由田田
60
48

Quiz #106 (8.2 & 8.3)1. The length of the flagpole's shadow is 36inches. The woman is 60inches tall

Answers

On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

what is trigonometry?

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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Point A is at (-7, 5) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

\(m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)\)

be alert m represents the MIDPOINT.

THE MIDPOINT IS (0,4)

Answer:

-1/7

Step-by-step explanation:

What is the domain of the relation below?
0 (-1,0, 1, 3)
O (-2,0,1,3)
O {-2, 1, 0, 1, 2, 3]
O {0, 1, 2, 3]
Pls help .!!

What is the domain of the relation below?0 (-1,0, 1, 3)O (-2,0,1,3)O {-2, 1, 0, 1, 2, 3]O {0, 1, 2, 3]Pls

Answers

Answer: Choice A)  {-1, 0, 1, 3}

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

Explanation:

To get the domain, list the x coordinate of each point shown.

The points on that graph are (-1, 1), (0, -2), (1, 3) and (3, 0). We see the x coordinates are: -1, 0, 1 and 3

Therefore, the domain is {-1, 0, 1, 3} which is choice A. The curly braces indicate we have a set of values. The domain is the set of all possible x inputs.

what do I do here???

what do I do here???

Answers

Answer:

8 plus 8 then 4 plus 4 then add those, so your answer would be 24 cm

P(Music/Drama) round to the nearest percent

Answers

Using it's concept, the probability that a randomly selected student is in music/drama is: 25%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Hence, in this problem, the probability will be found dividing the number of students that are in music or drama by the total number of students.

These data is given in a table, which is not given in this exercise. Researching this problem on the internet, we have that there are 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100 students, of which 7 + 13 + 5 = 25 are in music/drama, hence the probability is:

P = 25/100 = 25%.

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What is the opposite of -4? *

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

i wonder if anyone is gonna see this

how ya'll doin

i wonder if anyone is gonna see thishow ya'll doin

Answers

Answer:

I will respect him as I respect God

I don't want to judge it

coz Judge is a bubble gum

Dddodosebdjwwkqldlwowoeoeowoee

Which function is shown in the
graph below?

Which function is shown in thegraph below?

Answers

Answer:

Function 2

Step-by-step explanation:

From the graph the y intercept is 7. The only function that gives y = 7 when x = 0 is function 2.

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x²+6-9x​

Answers

Answer:

x² - 9x + 6

Step-by-step explanation:

The polynomial in standard form is:

x² - 9x + 6

This is a quadratic polynomial because it has a degree of 2, and it has three terms.

2. Which of the following expressions is equivalent to 322?
01
08.1/1
032.2
08-2

2. Which of the following expressions is equivalent to 322?0108.1/1032.208-2

Answers

Answer:

C. (32/4)*2

Step-by-step explanation:

C is the correct answer because when we divide 4/2 it equals 2.

Hope this helps!

Answer:

D

Step-by-step explanation:

Given expression:

\( \dfrac{32}{4} \times \dfrac{4}{2} \times 2 \)

Evaluation of the given expression:

\( = 8 \times 2 \times 2 \)

\( = 32 \)

A.     \( \dfrac{32}{\frac{16}{4}} = \dfrac{32}{4} = 8 \)

B.     \( 8 \times \dfrac{4}{2} = 8 \times 2 = 16 \)

C.     \( \dfrac{32}{4} \times 2 = 8 \times 2 = 16 \)

D.     \(8 \times \dfrac{4}{2} \times 2 = 8 \times 2 \times 2 = 32\)

Only expression D evaluates to the same value as the given expression.

Answer: D

Solve for the roots with solution thanks

27y² +81y = 0​

Answers

Answer:

y= 0, -3

y(27y+81)=0

27y+81=0 y=0

27y= -81

y= -81/27

y= -3

Answer:

\(y=-3, y=0\)

Step-by-step explanation:

Write an equation that represents the line. use exact numbers.

Answers

Equation that represents the line is , x + y =1

General form of straight line:

                                               ax+by+c = 0

here,

             a is the coefficient of x,and it is a constant.

             b is the coefficient of y,and it is a constant.

            c is the constant term.

again,

            a and b can never be zero together,one of the value either a or b can be zero,while c can be zero.

If c will be zero,straight line will pass through origin (0,0).

If a=0 then,

            by+c =0

            by = -c

            y = -c/b,Represents a line parallel to X-axis.

If b=0 then,

          ax +c = 0

          ax =-c

           x = -c/a, Represents a line parallel to Y-axis.

Now we have to write an equation that represents the line,

so,

                x + y =1

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What is the best description of thermal energy?(1 point) Responses Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules. Thermal energy is a measure of an object or substance’s heat. Thermal energy is a measure of an object or substance’s heat. Thermal energy is kinetic energy. Thermal energy is kinetic energy. Thermal energy is the energy stored in an object’s chemical bonds. Thermal energy is the energy stored in an object’s chemical bonds.

Answers

Answer:

A. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
Explanation:

Just took the Quick Check :)

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

What is thermal energy?

Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

It is a type of internal energy, which is the energy possessed by a system due to the movement and interactions of its constituent particles.

We have,

Thermal energy is a measure of an object or substance’s heat:

While thermal energy and heat are related, they are not exactly the same thing.

Heat is the transfer of thermal energy between objects or substances due to a temperature difference.

Thermal energy, on the other hand, is the energy contained in an object or substance due to the movement of its particles.

Thermal energy is kinetic energy:

While thermal energy is related to kinetic energy, they are not exactly the same thing.

Kinetic energy is the energy of motion, while thermal energy specifically refers to the kinetic energy of an object's particles.

Thermal energy is the energy stored in an object’s chemical bonds:

While chemical bonds do store energy, this is not the best description of thermal energy.

Thermal energy specifically refers to the energy stored in the movement of an object's particles.

Therefore,

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

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easy points for fun whats 9 times 9

Answers

Answer:

81

Step-by-step explanation:

Find the area of a sector of a circle with radius 7 cm and and central angle 240°.

Answers

The formula for finding area of a sector is angle/360 * area. Now plug in. Area of whole circle is 49pi. Central angle is 240. 240/360 = 2/3. 2/3*49pi = 98pi/3

Answer:

103 cm^2

i just took the quick check

Timothy wants to rent a car for his trip. The cost, in dollars, of a n-day long rental can be represented by the following sequence:
112, 162, 212, 262....
Which statement is true?
A. The cost can be represented by the explicit formula an = 112 + 50(n = 1).
B. The cost can be represented by the recursive formula an = an-1 - 50.
C. The cost can be represented by the explicit formula an = 50 + 112(n - 1).
D. The cost can be represented by the recursive formula an-1 + 112.
plz help mee!!​

Answers

Answer:

A

Step-by-step explanation:

go by the equation: a n= a n 1 + (n-1)

so fill that in & you get a n = 112+50(n-1)

find the number of outcomes in the complement of the given event. out of 344 high school students in their senior year, 175 are left-handed.

Answers

There are 169 outcomes in the complement of the given event.

To find the number of outcomes in the complement of the given event, which is that out of 344 high school students in their senior year, 175 are left-handed, you need to follow a few steps. So, let's get started. To find the number of outcomes in the complement of the given event, you will first find the total number of students that are right-handed, which can be found by subtracting the number of left-handed students from the total number of students:344 - 175 = 169Therefore, there are 169 right-handed students.

Next, to find the number of outcomes in the complement of the given event, you will need to subtract the number of outcomes in the given event from the total number of possible outcomes. Since the number of possible outcomes is equal to the total number of students, the number of outcomes in the complement of the given event can be found by subtracting the number of left-handed students from the total number of students:344 - 175 = 169 Therefore, there are 169 outcomes in the complement of the given event.

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How do you find the angle of a slope?

Answers

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

What is the angle of the slope?The angle of slope shows the departure of your climb from the idealistic flat surface of the course (remember, it's an idealized flat surface that ignores elevation change). In order to figure this out, divide the increase by the run and then find the inverse tangent of the outcome.The angle between a horizontal plane and a specific location on the land surface is known as the slope angle (degree).The term "slope" describes the incline's angle or grade. You might have an upward or downhill slope. The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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the raw score on a certain standarized test is determined by subtracting1/4 of the number of incorrect answers

Answers

The number of incorrect answers is 8.

What is a linear equation?

linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Let,

number correct of answer = x

number of incorrect answer = y

Given that,

Total number of answer  x+y = 30 ......(1)

Total score = x-\(\frac{1}{4}\)y = 20  .......(2)

In equation (2) multiply by -1 on both side.

-x+\(\frac{1}{4}\)y = -20   .......(3)

Now,

Adding both the equation (1) and (3)

x+y-x+\(\frac{1}{4}\)y = 30-20

\(\frac{5}{4} y\) = 10

y = 8

Hence, The number of incorrect answers is 8.

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the raw score on a certain standarized test is determined by subtracting1/4 of the number of incorrect

The tallest building in Bakersfield is the Stockdale Tower with a height of 176
feet. While on a field trip to the tower, Ngurice accidentally drops his milk
carton off the top of the tower. We can use the function h (t) = 176 – 572 to
estimate the height of the milk carton h after t seconds. How high is the milk
carton after 4 seconds? (Just type the number).

Answers

Answer: -396

Step-by-step explanation: 176 - 572 = -396

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5). A plant biologist collects data on the heights of specially bred pea plants. The scores are normally distributed with an average height of 10 inches (u = 10) and a standard deviation of 2.5 inches (a = 2.5). A) What percentage of the plants was above 8 inches in height? (2 points) Q23. Z-score for raw score of 8? Q24. Percentage is? I B) What percentage of the plants was between 6 and 9 inches in height? (3 points) Q25. Z-score for raw score of 6? Q26. Z-score for raw score of 9? Q27. Percentage is? C) What is the z-score of a plant that is 7 inches tall? (1 point) Q28. Z-score is? D) What height (raw score) would be associated with the 67th percentile? (2 points) Q29. Z-score is? Q30. Raw score is? Which action is best described by this excerpt?Elected leaders helped immigrants to assimilate to life in the United States.G Political machines justified corruption while providing benefits to communities.H Progressive leaders protested eminent domain laws in the United States.Muckrakers tried to uncover government scandals in urban communities. What does the depiction of the king's justice most likely represent? Read the passage from "The Lady, or the Tiger." It mattered not that he might already possess a wife and family, or that his affections might be engaged upon an object of his own selection; the king allowed no such subordinate arrangements to interfere with his great scheme of retribution and reward. A.the wisdom of a good leaderB. the love of a people for the king C.the carelessness of the ruling class D.the rewards of a job well done AP HUMAN GEOGRAPHY please help!!Being surrounded by a globalized popular culture, the existence of folk culture around the world is threatened. Popular culture creates its own set of problems for itself, challenging its sustainability.What challenges to folk culture have been created as a result of globalization?What problems are created by the growth of popular culture? What is of Killing Time PLEASE HELP I GIVE BRAINLIEST also pls explain after years of denial, david finally admitted to himself, his family, and his friends that he has a drinking problem. this example illustrates which step of rational coping? group of answer choices acceptance identification exposure understanding Who presides over the proceedings of the rajya sabha in the absence of both the chairman and the deputy chairman? why do some fresh water wells start pumping salty water in coastal areas Read Ara's rebuttal from an argumentative essay.While it is true that changing class times poses logistical problems, the fact remains: students at our high school are not getting enough sleep, and this is affecting their ability to learn.What kind of evidence would best support the rebuttal? Select three options.statistics about how many hours teenagers need to sleepstatistics about when classes usually begin at US schoolsstatistics about the sleeping habits of high school studentsinformation about the effects of sleep deprivation on teenagersinformation about logistical problems involved in changing class times34 is "The driver pushes the gas pedal, and the car zooms forward" a compound sectence Looking at Oklahoma state law, unit 2 page 36-37, what are some key points of the justifiable homicide provisions for the state? 2.2.1 A loss-free generator supplies 50 MW to an infinite bus, the steady-state limit of the system been 100 MW. Determine whether the generator willremain in synchronism if the prime mover input is abruptly increased by30 Mw. How would you describe Rip Van Wrinkle mental state a(n) ????? policy is a set of public statements to customers declaring how you will treat any personal information that you gather from them on your web site. the golden chunk hotel and casino was recently rocked by scandal with unethical gaming practices and lack of certain hotel safety disclosures. after an investigation, it was discovered that internal business ethical behavior standards were often brushed aside for profit. what would you guess was most likely to be the main reason for these ethics breaches at the golden chunk? responses Which of the following chemical compounds is responsible for much of the ecosystem damage resulting from ocean acidification?Group of answer choicesCarbonic acidMagnesium chlorideSulfuric acidSodium chloride es el que sabe todo acerca de la historia incluso lo que piensan los personajes Which graph represents the function f(x) = x3 + 4x2 + 5x + 2? Which graph represents the solution set to the system of inequalities?{ Y 1/4X-2 Y 54X+2ANSWER Down Below