Determine en donde la funcion dada es creciente,concava hacia riba y concava hacia abajo. y= x3–3x–1

Answers

Answer 1

Answer:

Es creciente en los siguientes intervalos: [tex][-\infty,-1] U [1,\infty][/tex]

Es concavo hacia abajo en el intervalo: [tex][-\infty,0)[/tex]

Es concavo hacia arriba en el intervalo: [tex](0,\infty][/tex]

Step-by-step explanation:

Sea la función:

[tex]f(x)=x^{3}-3x-1[/tex]

Para determinar el intervalo de crecimeinto debes determinar la primer derivada de la función (f'(x)). El intervalo donde f'(x) > 0 es creciente.

La derivada de f(x) es:

[tex]f'(x)=3x^{2}-3[/tex]

Entonces es creciente en los siguientes intervalos:

[tex][-\infty,-1] U [1,\infty][/tex]    

Ahora para determinar la concavidad debemos determinar la segunda derivada de la función (f''(x)). Si f''(x) > 0 la función es concava hacia arriba, si f''(x) < 0 la funcion es concava hacia abajo.

La segunda derivada de f(x) es:

[tex]f''(x)=6x[/tex]        

Por lo tanto:

Es concavo hacia abajo en el intervalo: [tex][-\infty,0)[/tex]

Es concavo hacia arriba en el intervalo: [tex](0,\infty][/tex]

Espero te haya ayudado!


Related Questions

HELP ME PLEASE ASAP!!!!!!!!!!!!!!

Answers

C 4-12x pay attention to negatives :)

Stay safe! Hope this helps!

Find the value of x in the isosceles triangle shown below.

please help owo

Answers

Answer:

10

Step-by-step explanation:

We will first take a right triangle and we will apply the pythagorean theorem to it. First, the base of the right triangle will be 12/2 which is 6; then, we will just use the theorem.

a^2+b^2 = c^2 (pythagorean theorem)

8^2+6^2 = c^2

100 = c^2

c = 10 because the square root of 100 is 10

Mr. Benitez sells houses. He gets a 6% commission on all sales.
How much commission would Mr. Benitez earn on a house that
sells for $400,000?

Answers

Answer:

$24,000

Step-by-step explanation:

$400,000 x 6%= $24,000

I WILL MARK BRAINLIEST TO MORE THAN ONE PERSON WHO HELPS

5)Suppose that the equation N(t)=500(0.02)^(0.7t) represents the number of employees working t years after a company begins operations. a) how many employees are there when the company opens (at t=0). b)how long until there are at least 100 employees working? c) according to this model as t gets larger(and heads towards+infinite) what value does N approach? That is in the long term, how many employees will be working at this company, according to this model?

Answers

Step-by-step explanation:

Given

No. of employees [tex]N(t)=500(0.02)^{0.7^{t}}[/tex]

(a)When the company opens i.e. at t=0

[tex]N(0)=500(0.02)^{1}=10[/tex]

There are 10 employees at the beginning

(b)when N=100

[tex]100=500(0.02)^{0.7^{t}}\\0.2=0.02^{0.7^{t}}[/tex]

Taking log both sides

[tex]\ln (0.2)=0.7^t \cdot \ln (0.02)[/tex]

[tex]0.7^t=\frac{\ln (0.2)}{\ln (0.02)}=0.4114[/tex]

again taking log

[tex]t\times \ln (0.7)=\ln (0.4114)[/tex]

[tex]t=\dfrac{\ln (0.4114)}{\ln (0.7)}=2.49[/tex]

(c)when t tends to [tex]\infty[/tex], [tex](0.7)^t\rightarrow 0[/tex]

So, [tex]N(\infty)=500\cdot(0.02)^0=500\times1=500[/tex]

i.e. there can be 500 employees at max

What is the value of (-1/2)^4?
-16
-1/16
1/16
16

Answers

Answer:

The answer for (-1/2)^4 is 1/16

U2+17u+72. Answer please

Answers

Answer:

I believe it's 19u+72

Step-by-step explanation:

Hope this helps! ^^

Answer:

(u + 8)(u + 9)

Step-by-step explanation:

Assuming you require to factorise the expression

u² + 17u + 72

Consider the factors of the constant term (+ 72) which sum to give the coefficient of the u- term (+ 17)

The factors are + 8 and + 9, since

8 × 9 = 72 and 8 + 9 = 17, then

u² + 17u + 72 = (u + 8)(u + 9) ← in factored form

Write the equation that passes through the point (-2,4) and has a slope of 7

Answers

hope this helpsssssss :)))

Answer: See explanation

Step-by-step explanation:

Point slope formula = y - y₁ = m (x - x₁)

y - 4 = 7 (x + 2)

y - 4 = 7x + 14

Add 4 to both sides

y = 7x + 18

↑This is also the slope intercept form (y = mx + b)

Hope this helped!

PLEASE ANSWER PLEASE! ASAP Which speed is the fastest?
180 miles/18 hours
240 miles/6 hours
90 miles/2 hours
30 miles/1 hour

Answers

Answer:

It would be 90 miles/2, it's rate is 45 miles per hour

Answer:

90 miles/2 hours

Step-by-step explanation:

180/8 = 22.2mph

240/6 = 40mph

90/2 = 45 mph

30/1 = 30 mph

45 mph is faster than every other unit rate, therefore 90 miles/2 hours  is the fastest.

Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.

a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical.​

Answers

Answer:

try adding them togeher

Step-by-step explanation:

Answer:

Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.

a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical.

b. Is the answer to the question that same as the solution to the inequality? Explain.​

2

SEE ANSWERS

Step-by-step explanation:

Which expressions are equivalent choose all that apply

PLEASE HELPP!!

Answers

The answer is a and d welcome

The expressions that are equivalent to each other will be 7⁴, 7 · 7 · 7 · 7, and 7 to the fourth power. Then the correct options are A, B, and E.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 7 to the fourth power

This can be mathematically expressed as,

⇒ 7⁴

⇒ 7 · 7 · 7 · 7

⇒ 2,401

The expressions that are equivalent to each other will be 7⁴, 7 · 7 · 7 · 7, and 7 to the fourth power. Then the correct options are A, B, and E.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

You want a loan for an awesome mansion in Houston, TX. The bank
agrees to give you a loan of $900,000 with a 5% interest rate for 8
years. How much will you pay in interest?

Answers

Answer:

360000

Step-by-step explanation:

Answer: You will pay 360,000,000

Step-by-step explanation:

900,000 • 0.05 • 8 = 360,000

change 5 to a decimal

Nikki dove into a pool and swam underwater the table shows how her depth changed during a 4 second time period which equation shows the relationship in the table between the time t,and depth d

Answers

Answer:

I think the answer is d = 1.5t

Step-by-step explanation:

If a number and it's inverse (ex. 8 and -8) are both x-values, is the relation still considered a function?

Answers

Answer:

well just cout

Step-by-step explanation:

los 1=-1 2=-2see easy

F(8) =11x + 3 what is the answer to this ?

Answers

Answer:

91

Step-by-step explanation:

11*8=88 +3=91

Answer: The answer would be 91

Step-by-step explanation: since it's originally f(x)=11x+3 and x=8

then you plug in for X.

f(8)=11(8)+3=91

BRAINLIEST PLS

PLEASE HURRY
Write 14% as a decimal.

7.14
7.14

0.14
0.14

1.4
1.4

750

Answers

Answer:

0.14

Step-by-step explanation:

To get this, you need to divide the number by a 100.

14/100 = 0.14

Therefore 14% is 0.14 as a decimal.

Hope that helped! :)

Think About the Process Use the algebra tiles to help you solve the equation 3x - 6 = 21. What is
the first step in solving the equation using algebra tiles? What is the solution to the equation?
What is the first step in solving the equation using algebra tiles?
O A. Divide each side of the model by 3.
OB. Add six - 1 tiles to each side of the model.
OC. Multiply each side of the model by 3.

Answers

The answer to the question is B

Write an equation of the line with a slope of 2 and a y-intercept of 9.

Answers

Y=2x+9

So the formula is y=(slope)x+(y-intercept)

Ali bought a music system for rs 6375.00 and spent rs 75.00 on transportation . He sold it for 6400.00 . Find his profit or loss percent

Answers

Answer: Loss percent = 0.775%

Step-by-step explanation:

Here,

Total cost = Purchasing price + transportation

⇒ Total cost = 6375 + 75

⇒ Total cost = $ 6450

Selling price = $ 6400

Total cost > Selling price, hence it is a loss.

Loss percent formula :

[tex]Loss\% =\dfrac{\text{Loss}}{Total\ cost}\times100\\\\=\dfrac{Total\ cost - Selling price}{Total \ cost}\times100\\\\=\dfrac{6450-6400}{6450}\times100\\\\=\dfrac{50}{6450}\times100=0.775\%[/tex]

Hence, Loss percent = 0.775%

What is the solution of the proportion 5/8=b/12

Answers

Answer:

15/2 I think

Step-by-step explanation:

Cross multiply and solve for b.
8b = 60
B= 7.5

Find the slope of the line that passes through (5,9) and (3,9)

Answers

Answer:

Since the Y coordinate is constantly 9, it is a horizontal line.

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 9) and (x₂, y₂ ) = (3, 9)

m = [tex]\frac{9-9}{3-5}[/tex] = [tex]\frac{0}{-2}[/tex] = 0

What statement best describes the function?

Answers

Answer:

d

Step-by-step explanation:

Plz i need help with this. It would really help if you help me with this (._.)

Answers

Z is B and x is D. Hope this helps!








What is the area of this shape?

Answers

21 ft I believe, I could be wrong though.

Seven times the sum of a number and 3 is 9.​

Answers

7(x+3)=9 is the formula
Distribute the 7
7x+21=9
Subtract 21 from both sides
7x=-12
Divide 7 on both sides
X=-12/7

what’s the answer for this question?

Answers

Answer: 4-2.1x

Step-by-step explanation:

The ratio of chairs to tables in a classroom is 5:1 Which statement must be true? A There are 5 chairs and 1 table. B There are 5 chairs for every 1 table. C There are 5 more chairs than tables. D There are 5 more tables than chairs.

Answers

Answer:

B

Step-by-step explanation

5:1 means for every 1 table their is 5 chairs.

And for every 5 chairs there is 1 table.

A right triangle has a leg of length 9 and a hypotenuse of length 17
yards. Find the length of the other leg (nearest tenth).

Answers

I got a=14.4 but I shown my work in photo

A rectangular park is 26 m long and 25m broad.Find it's area and cost of paving it with blocks costing Rs. 38 per m square.​

Answers

Answer:

Area of park = 650m ²

Cost of setting blocks = Rs.24,700

Step-by-step explanation:

Given:

Length of park L = 26 m

Width of park B = 25 m

Find:

Area

Cost of Paving = 38 per m square

Computation:

Area of park = L x B

Area of park = 25 x 26

Area of park = 650m ²

Cost of setting blocks = Area of park x 38

Cost of setting blocks = 650 x 38

Cost of setting blocks = Rs.24,700

Can someone please help?? QUESTION: Write the phrase as an expression 13 subtracted from a number x An expression is.

Answers

Answer: x-13

Step-by-step explanation:

so 13 subtracted from x is x minus 13

Answer:

x - 13.

Explanation: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. Hope this helps ^-^.

A school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium where the production will be held, and there are two different show times that people can choose to attend. The school is hoping to sell enough tickets to raise at least $2,700 for the theater department Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold. Which points on the graph would lie within the solution region for the system of inequalities modeled by this situation?​

Answers

Answer:

4x+3150-6x=2876

-2x=-274

x=137

y=525-137

y=388

Hence, about 137 childern tickets were sold and 388 gernal admission tickets were sold.

Paul.

The solution of the given situation is that about 137 childern tickets were sold and 388 admission tickets were sold.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium.

Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold then the equation is;

4x+3150-6x=2876

-2x=-274

x=137

Now,

y=525-137

y=388

Hence, about 137 childern tickets were sold and 388 admission tickets were sold.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Other Questions
I've been given this for maths and I have no clue what to do can someone help me out? PLZ HELP IM ON A TESTMatch the Spanish phrase with the correct English translation.Drag each tile to the correct box.Tiles:he isshe hasI haveyou are (formal)you have (informal)I amwe arethey haveSpanish Phrase:yo soy usted es yo tengo ellos/ellas tienen t tienes nosotros somos ella tiene l es the mass to change ratio of the proton is found to be 1.04410KG/C.the change on the proton is 1.60210C.calculate the mass of proton. The table shows the sales price and the discount offered at different stores for a bicycle that Juan wants to pureStore NameDiscountZ-MartRegular price12% off$50 off25% offBike World$265Juan wants to get the best deal. Which store offers the bike at the lowest price after the discount?O A Z-MartOBBike WorldOC. Not enough information to tellD. ABC Sports 5.How was membership in the transcendental club established? How difficult was it to become a member? Where is the youngest rock in the Atlantic Ocean found? plz hurry How did the printing press help the Abolitionist movement? Find the set of solutions for the equation 2x+5=2x Which of the following is a good example of Spatial DiffusionA. Columbian ExchangeB. American ExchangeC. Columbus ExchangeD. Manifest Destiny Describe the abilities of someone with analytical/research skills. please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest if answer all Two irregular pentagons are constructed so that every side has a length of 1 unit. Does this necessarily mean that these figures are congruent with one another? Why or why not? Type here to search I What could happen if two of the base pairs on this strand of DNA were switched? A compound containing xenon and fluorine was prepared by shining sunlight on a mixture of Xe (0.526 g) and excess F2 gas. If you isolate 0.678 g of the new compound, what is its empirical formula What is the x-intercept? A ship lost at sea for many days suddenly sighted a friendly vessel. From the mast of the unfortunate vessel was seen a signal,Water, water; we die of thirst! The answer from the friendly vessel at once came back, Cast down your bucket where you are. A second time the signal, Water, water; send us water! ran up from the distressed vessel, and was answered, Cast down your bucket where you are. And a third and fourth signal for water was answered, Cast down your bucket where you are. The captain of the distressed vessel, at last heeding the injunction, cast down his bucket, and it came up full of fresh, sparkling water from the mouth of the Amazon River. To those of my race who depend on bettering their condition in a foreign land or who underestimate the importance of cultivating friendly relations with the Southern white man, who is their next-door neighbor, I would say: Cast down your bucket where you are cast it down in making friends in every manly way of the people of all races by whom we are surrounded." - Booker T. Washington "Atlanta Compromise" Speech, 1895 What did Washington mean at the end of the speech when he said, Cast down your bucket where you are? A) Only people with buckets could understand the metaphor. B) Always cast your bucket so that you can bring up clean water. C) Both races were responsible for friendly relations in their own homes and towns. D) Both races needed to remain separate and learn how to live in peace without interacting with others. What new technological advancements came out of World War 1 Select the activity below which is considered an aerobic activity. (2 points) a Baseball b Dance c Football d Sixty-yard dash How was The African continent divided which part of nature does the poet reference more than once to express the speakers feeling of freedom?