given the function f(x)=-2x^4-16x^3-36x^2, determine all intervals on which f is both decreasing and concave down

Given The Function F(x)=-2x^4-16x^3-36x^2, Determine All Intervals On Which F Is Both Decreasing And

Answers

Answer 1

Answer:

  (0, ∞)

Step-by-step explanation:

The only maximum, local or otherwise, is at x=0. Since the leading coefficient is negative, the function is decreasing and concave down for x-values greater than 0.

  0 < x < ∞ . . . . . decreasing and concave down

__

Since the leading coefficient of this even-degree function is negative, it will have a generally ∩ shape. It will be decreasing to the right of any local maximum.

The first derivative is negative only for x > 0, so that is the only region where the function is decreasing. Since that x=0 is a local maximum, the function must be concave downward in that neighborhood.

__

The attached graph shows the function and its first and second derivatives. The function is concave down where the second derivative is negative, to the right of the right-most point of inflection.

_____

Additional comment

A graphing calculator provides a quick answer to a question like this. You can find the same answer algebraically.

The first derivative is ...

  f'(x) = -8x^3 -48x^2 -72x = -8x(x^2 +6x +9) = -8x(x+3)^2

This has a zero at x=-3 where the graph of it touches the x-axis, but does not change sign. That means f(x) has a flat spot at x=-3, but is not decreasing except to the right of x=0.

The second derivative is ...

  f''(x) = -24x^2 -96x -72 = -24(x^2 +4x +3) = -24(x +1)(x +3)

The second derivative will be negative for x < -3 and x > -1, to the left and right of the points of inflection. This means f(x) is concave upward only for -3 < x < -1, and concave downward everywhere else.

The function is concave downward and decreasing for x > 0.

Given The Function F(x)=-2x^4-16x^3-36x^2, Determine All Intervals On Which F Is Both Decreasing And

Related Questions

(-5,-2),(-7,r) if m=5/9 what is r? slope

Answers

Answer:

r = -28/9

Step-by-step explanation:

use slope formula of (y₂-y₁) / (x₂-x₁)

5/9 = [r - (-2)] / [-7 - (-5)]

5/9 = (r+2) /-2

cross-multiply to get:

-2(5) = 9(r+2)

-10 = 9r + 18

-28 = 9r

r = -28/9

How many solutions does the system of equations below have?
4x + 10y = –7
–3x + 9y = –14
No solution
One solution
Infinitely solutions

Answers

Answer:

There is one solution to this system of equations

Step-by-step explanation:

When solving, there is a specific point of intersection which is (7/6,-7/6), making the answer one solution.

The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?

Answers

The correct answer is going to be7

A. Decide whether the given examples illustrate a constant or a variable.
1. Number of family members in each house
2. Amount of money in the bank every month
3. Number of seconds in a minute
4. Weekly expenses of groceries
5. Number of years in a millennium.
Asynchronous task on introduction to algebraic expressions
B. Make your own algebraic expressions based on the given conditions.
1. A variable
2. A combination of any number and any variable related by exponentiation.
3. A combination of any two variables related by subtraction.
4. A combination of any number and any three variables related by multiplication.

pls answer and help me..

Answers

Answer:

a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary

Complete the problems below. Be sure to show your work! 11. A movie is being shown on television. The movie is scheduled for a 150 minute time lot and will include some commercial breaks. The number of commercial breaks can be determined by the equation 6x + 114 = 150, where x represents the number of commercial breaks.
A. Identify the meaning of the coefficient and the constant in the context of this situation.
B. Solve to find the number of commercial breaks.
C. Graph the solution.

Answers

Answer:

b

Step-by-step explanation:

ANYBODY HELP. EXPERTS HELP!!!!!!!!!!

Answers

Answer:

Question 1  Between 3 - 4 hrs

Question 2 Between 1 - 3 hrs

Question 3 Between 4 - 8 hrs

Question 4 Between 2 - 3 hrs

Question 5 Represents the starting position

Step-by-step explanation:

wich is greater 45%, 1/2, 0.55

Answers

Answer:

0.55

Step-by-step explanation:

45/100 = 0.45

1/2 = 0.50

Answer:

0.55 is the biggest

Step-by-step explanation:

45% can be converted to 0.45

1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)

0.55 is already done for you, so there is nothing to do here.

Therefore, the biggest is 0.55

can anyone please help

Answers

Answer:

Adult tickets = $73.5

Child tickets = $20.5

Step-by-step explanation:

[tex]{ \rm{3x + 5y = 50 - - - \{eqn \: 1 \}}} \\ { \rm{x + 5y = 31 - - - \{eqn \: 2 \}}} \\ [/tex]

• Subtract eqn 2 from eqn 1:

[tex]{ \rm{2x = 21}} \\ { \rm{x = 10.5}}[/tex]

[tex]{ \rm{10.5 + 5y = 31}} \\ { \rm{5y = 20.5}} \\ { \rm{y = 4.1}}[/tex]

2+2=4 but you plus me = forever



i got smooth with it​

Answers

dam bro

thats pretty smooth

Negative 12 - negative 50

Answers

Answer:

38

Step-by-step explanation:

if you're asking what (-12)-(-50) is the answer is 38 simple method to remember is KCF or KFC same thing just worded differently but it means keep change flip! hope that helped have a great day!!

On average, a squirrel lives to be 6.5 years old. The lifespan of a squirrel may
vary by as much as 1.5 years. What is the range of ages that a squirrel lives?

Answers

Answer:

5-8

Step-by-step explanation:

6.5-1.5 = 5

6.5+1.5= 8

Helpppp me please omg

Answers

the first graph looks right

Write the slope-intercept form of the equation of the line. ​

Answers

The slope- intercept of the line is y= x + 2. This is because for every time you go up or “rise” 1 unit you move to the right or “run” 1 unit. Therefore, 1/1 is just 1 so we can just leave this as x, however 1x would still work. Also, the line first touches the y-axis when x is 0 and y is 2. Therefore, the slope intercept is 2. So the slope intercept form of this line is still y = x + 2.

I need is the answer of please
thank you

Answers

Answer:

39.2m

Step-by-step explanation:

The ratio would be 14/20 which is 0.7. So, you would take 56 and multipy it by 0.7 to get 39.2.

Answer:

39.2

Step-by-step explanation:

ok so you are given 2 triangles that are proportional

the 20 m side and the 56 m side go together

so this leaves 14 and L

so the ration is 2.8

multiply 14 by 2.8 and you get 39.2

I need help showing work

Answers

Answer:

yawa ka ah diyan module tae yan hahaha

don't know sorry mate

Sara is saving up to purchase a small T.V.
She has saved $80, which is 64% of the total
cost of the television. How much does the
television cost?

Answers

Answer:

You got this just keep trying

Step-by-step explanation:

Answer:

It might be 80

Step-by-step explanation:

first you put 64% and $80 as a fraction. 64%/$80. Then next to the fraction, you put x/100. Then you cross multiply. 64 times 100 is 6400. 6400 divided by 80 is 80. Therefore, the answer is 80. Hope this helps!

Plz HELP...(MATH)........

Answers

Answer:

36 times

Step-by-step explanation:

Because half the marbles are blue, you can predict that about half of the 72 times you will choose the blue marble, or 36 times.

I was so late when I got to this question I could of helped earlier:/

Find the distance travelled by Rubina if she takes 4 rounds of rectangular park whose length and breadth is 45m and 30m

please give me a valid answer with a step by step explanation and i will mark you as brainliest

Answers

Length (l) = 45 mBreadth (b) = 30 mWe know, perimeter of a rectangle = 2(length + breadth)Therefore, perimeter of the rectangle = 2(I + b) = 2(45 + 30) m = 2 × 75 m = 150 mSo, the distance travelled by Rubina = 4 × 150 m= 600 m

Answer:

The distance travelled by Rubina is 600 m.

Hope you could get an idea from here.

Doubt clarification - use comment section.

-9/12-(-1/3) A 8/9. B. -8/9. C 5/12 D -5/12

Answers

Answer:

-5/12/ D

Step-by-step explanation:

-9/12 -(-1/3)

turn 1/3 into a fraction with a similar denominator

-9/12-(-4/12)

-(- = addition (+)

-9+4= -5

-5/12

A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points) y = 3 over 2 x + 5 y = 2 over 3 x + 5 y = 3x + 2 y = 2 over 3 x + 2

Answers

Given two points, the equation of the line may be determined by,

y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)

Substituting the given values,

y - 7 = ((9 - 7) / (6 - 3))(x - 3)

Simplification will yield to an answer of,

y = 2x/3 +5

Therefore, the answer is the second choice.

please help me quick

Answers

Answer:

D) The answer is AB and HG

Step-by-step explanation:

sides that are equal:

AD=EH

DC=EF

BC=FG

AB=HG

A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?

Answers

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

URGENT!!! THANK YOU!!!!!

Answers

Answer:

101,100

280

Here's your answer

Find ℎ(x) = f(x) − g(x)

Answers

I need to know what f(x) and g(x) is first

Answer:

h(x) = 7x - 3

Step-by-step explanation:

f(x) = 4x − 1 and g(x) = −3x + 2

h(x) = f(x) - g(x)

h(x) = 4x - 1 - (-3x + 2)

h(x) = 4x - 1 + 3x - 2

h(x) = 7x - 3


Marcus is it mixing blue and yellow paint in the ratio of 2 to 3 to make green paint. He wants to make 45 L of green paint. Him being to make a table to help him think about the problem but is unsure of what to do next. Marks find Amandas also mixing paint she wants to make purple paint by mixing 2 cups of blue with a4 cups are red paint. Amanda makes her pain in his left with 48 cups of purple paint how many more cups of purple paint did she use than blue paint? If Amanda has 15 cups of blue paint how many cups repair does she need? Amanda wants her purple paint mixture from part bead to be a little lighter so she mixes in two more cups of white paint what is the ratio of blue paint to repaint the white paint that she used?

Answers

This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and  27 liters of yellow paint to make 45 liters of green paint.

Given:

Mark was mixing blue and yellow paint ratio of 2:3.

He wants to make 45 liters of green paint.

According to the question,

Blue : Yellow =  Green

2 : 3 : 2+3 (Given)

2 : 3 : 5

Therefore, he wants to make 45 liters of green paint.

So, 5 parts = 45 liters

Now, calculating for each part.

We get,

Each part = 45÷ 5 = 9 liters

Now for 2 parts = 9 x 2 = 18 liters

And, for 3 parts = 9 x 3 = 27 liters

Therefore, he needs to have 18 liters of blue paint and  27 liters of yellow paint to make 45 liters of green paint.

What is the solution to this quadratic equation

Answers

The answer is: B, C, and E

(0,12)
(2,0)
(6,0)

Plz need help

What is the value of (2/3)

Answers

Answer:

2/9

Step-by-step explanation:

2(2/3)^2-4(2/3)+2

2(4/9)-8/3+2

8/9-8/3+2

-16/9+2

2/9

Choose the linear equations.

Answers

Answer:

y = [tex]\frac{3}{3}[/tex]x - 5

y = 2x + 5

Step-by-step explanation:

In linear equations, both variables x and y must have the exponent of 1 (i.e. they cannot have a small number at the top-right). And they cannot be in the exponents (i.e. cannot be the small number at the top-right).


Will mark brainliest

Answers

Answer:

Point  H is in the first Quadrant (5,4)

Step-by-step explanation:

Answer:

quadrant 1

Step-by-step explanation:

yw:)

If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x).​

Answers

Answer:

SEE attched pic

Step-by-step explanation:

Download symbolab

Other Questions
PLS HELP Thanks to the Internet, most of the tools that fashion forecasters have are at your disposal. Search the Internet for recent fashion shows, which will indicate what is coming up next season. Look at recent fashion shows in major cities, such as New York and Los Angeles, to see where American fashion is headed. Then turn to Paris. You can look for fashion shows there as well as see what the major fashion magazines have on their websites in the European divisions. Fortunately, you dont need to read French to know what is highlighted in French fashion. Take a moment to check out Tokyo as well. Finally, check celebrity gossip magazine websites or magazines to see what celebrities are wearing around town and to formal events. When you are done, pick two trends that you expect to see in American stores next year. Finally, write a paragraph explaining the trend and what you found in your search that led you to believe that it is coming our way. 3 things that I have discovered about true freedom. 2 things that I can do in the service of my family and community as an expression of my love and proper use of my freedom. 1 Goal that I hope to accomplish this year that will significantly impact the community that I live in. in a concert hall, there are 16 chairs in the first row, and each row has 4 more chairs than the previous row. there are 14 rows altogether. how many chairs are there in the concert hall? What is an example of an interpersonal skill?a) being highly self-motivatedb) being very disciplinedc) Being punctuald) achieving goals If 9 3x < 54, then which of the following must be true?F.x < 15G.x > 21H.x < 21J.x < 15K.x > 15 challenges of believing in traditional theories of man WILL GIVE BRAINLIEST PLEASE ANSWER QUICK1. Which word best describes the tone of the last paragraph?Group of answer choicesFuriousAfraidResolvedHopeful2. Why does the writer use the maxim, "Honesty is the best policy," in the conclusion of this excerpt?Group of answer choicesTo demonstrate that he will honor the country's existing engagements because of his own valuesTo remind his audience that he is someone they can trust and turn to in difficult timesTo distract from the counterclaim that other countries are in need of assistanceTo emphasize the importance of strong moral character in the face of opposition3. In the second sentence of paragraph 1 (reproduced below), the writer is considering deleting the bolded text, adjusting the punctuation as necessary.Sympathy for the favorite nation, facilitating the illusion of an imaginary common interest in cases where no real common interest exists, and infusing into one the enmities of the other, betrays the former into a participation in the quarrels and wars of the latter without adequate inducement or justification.Should the writer keep or delete the bolded text?Group of answer choicesKeep it, because it emphasizes the writer's claim that there should be sympathy for these favorite nations.Keep it, because it clarifies the writer's key point that these common interests perceived by the nations are delusionary.Delete it, because it contradicts the writer's overall argument which is developed later in the speech.Delete it, because it simply repeats the meaning contained in the clauses which follow in the same sentence.4. In the fourth paragraph, which sentence signals a tone shift?Group of answer choices"So far as we have already formed engagements, let them be fulfilled with perfect good faith.""Here let us stop.""Europe has a set of primary interests which to us have none; or a very remote relation.""Hence she must be engaged in frequent controversies, the causes of which are essentially foreign to our concerns."5. Which rhetorical device does the author employ to connect with his audience so that they can relate to and internalize his argument?Group of answer choicesExtended metaphorsHistorical allusionsDescriptive adjectivesPersonal pronouns6. What is the relationship between paragraphs four and seven in the excerpt?Group of answer choicesParagraph seven presents an exception to the assertion developed in paragraph four.Both paragraphs establish the character of the nation and its commitments.Paragraph four asserts an idea with examples while paragraph seven simply states the idea.Both paragraphs develop an extended metaphor through references to foreign countries.7. Which rhetorical strategy does the author adopt in paragraph one?Group of answer choicesHe begins with a tone shift followed by commentary contrary to his claim.He clarifies his claim by recognizing a condition of carrying out his position.He asserts his claim followed by a list of examples illustrating his claim.He lists examples and then asserts his position in a declarative statement.8. In paragraph two, the author describes one type of nation as a "satellite" to another toGroup of answer choicesdepict the nation that looks out for others that are less able as admirable and significantvalidate the need for the protection that foreign alliances can provide for some countriesdescribe the complicated yet productive relationship of countries with alliancescharacterize the unequal partnership that results from alliances with other countries9. Which of the following sentences, if placed before sentence 1, would best orient the audience and provide an engaging introduction to the topic of the paragraph?Group of answer choicesThose who study the art of argumentation understand that dogma is the enemy of an effective line of reasoning.Argumentation is an advanced skill that ought to be taught only to those who are serious about their studies.Understanding argumentation and how it works can help you influence others and communicate effectively.Few who engage in debate consider a different kind of alphabet, which can be a helpful tool in organizing an argument. What is 10/11x11/12 in the fraction form 100 Examples of figurative language in Walk Two Moons (with page numbers please) i need help 4 my brother 1. What is the Speed equation?a. S= D/Tc. A= Fv-lv/Tb. A= lv - FITd. S= T/D Help help help help math math Please help. Question a and b Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 miles. Write and solve an equation to find the number of days veronica traveled. Students were given a list of seven elements and asked to identify the four elements that are most abundant in biomolecules. Which table correctly identifies the four most-abundant elements in biomolecules?. 2CH3CHO+O2=> 2CH3COOH who has a better sense of smell, dogs or lions ( i dont know if the subject is right ) Characteristics of carbon monoxide include all of the following EXCEPT:A. It is a colorless gas.B. It is very dangerous, and inhaling too much can be fatal.C. It is a potent gas.D. It is found in tobacco smoke. find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ? how do you say hello in German