1) Find all the critical numbers of the given function

f(x) = X 1 - 4
-
3

Answers

Answer 1

Answer:

(0,-4)

Step-by-step explanation:

Given

[tex]f(x) = x^\frac{1}{3} - 4[/tex]

Required

Determine the critical numbers

[tex]f(x) = x^\frac{1}{3} - 4[/tex]

Differentiate:

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

[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}}[/tex]

Equate to 0

[tex]f'(x) = \frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]

[tex]\frac{1}{3}x^{-\frac{2}{3}} = 0[/tex]

Multiply through by 3

[tex]3 * \frac{1}{3}x^{-\frac{2}{3}} = 0*3[/tex]

[tex]x^{-\frac{2}{3}} = 0[/tex]

[tex]x = 0[/tex]

Substitute 0 for x in [tex]f(x) = x^\frac{1}{3} - 4[/tex]

[tex]f(0) = 0^\frac{1}{3} - 4[/tex]

[tex]f(0) = 0- 4[/tex]

[tex]f(0) = - 4[/tex]

Hence, the critical point is: (0,-4)


Related Questions

George, Arianna, and Carlos are going to mow the baseball field with push
mowers. By themselves, George can mow the field in 5 hours, Arianna
can mow the field in 6 hours, and Carlos can mow the field in 3 hours. If
the game is in 2 hours, can they get the field mowed in time?

Answers

Answer: Yes, they will have it mowed in 1 hour and 18 minutes

Step-by-step explanation:

Classify each real number. List all the subsets in which the number belongs.

Answers

Answer:

Step-by-step explanation:

1-integer

2-rational

3-whole

4- irrational

2x + 3 – 4 = 5x - 7



2

-2

- 9

9

Answers

2x + 3 - 4 = 5x - 7

=> 2x + 3 - 4 + 7 = 5x

=> 3 - 4 + 7 = 5x - 2x

=> 3 - 4 + 7 = 3x

=> -1 + 7 = 3x

=> 6 = 3x

=> 6/3 = x

=> 2 = x

x = 2

Step-by-step explanation:

2x + 3 - 4 = 5x - 7 2x - 1 = 5x - 7 (-1 + 7 )= 5x - 2x6 = 3x 6 ÷ 3 = x2 = x

MARK ME AS BRAINLIST

(6x + 6) + (-3 - 4x)

Answers

Answer:

2x+3

Step-by-step explanation:

[tex](6x+6)+(-3-4x)=2x+3[/tex]

Please help me please ! Also the answer is not a

Answers

Answer:

The answer is c

Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula to get the answer i hope this helps

Hey there!

The answer is C.

To factor an expression, you take the root (same as exponent variable has) of the terms and put them into parantheses. We can also check the choices to see if they're correct by solving them.

A is incorrect, because if you solve it, you would have [tex]x^2-121[/tex]

B is incorrect, because if you solve it, you would have [tex]121x-x^2[/tex]

C is correct, because if you solve it, you would have [tex]121-x^2[/tex]

D is incorrect, because it CAN be factored.

Have a super awesome day! :)

For problems 4-9 find the circumference.

Answers

4. 78.54
5. 28.27
6. 175.93
7. 59.69
8. 18.85
9. 219.91

Math Question for 50 points please help

Answers

Answer:

B

Step-by-step explanation:

Your answer is B.

⚠︎ I HOPE YOU ARE DOING WELL ☻︎

HAVE A FANTASTIC DAY ꨄ︎

Answer:

The answer is B

Step-by-step explanation:

Its different from all the others

a flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 meters. One of the shorter sides is 7 meters longer than the other. Determine the length of the shortest side​

Answers

Answer:

5

Step-by-step explanation:

2. What is an interest that is computed on the
principal and then added to it?
A. Simple Interest
B. Compound Interest
C. Interest
D. Principal​

Answers

Answer:

Step-by-step explanation:

What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?

Answers

Answer: y= -6x -7

Step-by-step explanation:

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

y- (-1)=-6(x- (-1))

y+1= -6(x+1)

y+1= -6x-6

y+1-1=-6x-6-1

y=-6x-7

Standard from 6x+y=7

solve the system of equations 5x+3y=5 5x+7y=25

Answers

Answer:

(-2,5)

Step-by-step explanation:

PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST

Answers

Answer:

Listed below:

Step-by-step explanation:

P: 192

A:2079

B. Area

C. Perimeter

Hope this helps :)

The family size bottle of sunscreen holds 12 fluid ounces (fl oz) of sunscreen. the regular bottle holds 75% less. how many fewer fluid ounces does the regular bottle hold?

Answers

Answer:

9

Step-by-step explanation:

12×0.75=9

-3x =21
1/3x =6
-1/2x =-7

Answers

-3x = 21
Divide -3 from both sides and you get x = -7

1/3x = 6
Divide 1/3 from both sides and you get x = 18

-1/2x = -7
Divide -1/2 from both sides and you get x = 14 (you get a positive answer from 2 negatives)

Dividing 1/3 is just multiplying by 3, and dividing -1/2 is just multiplying by -2

Refer to the figure to answer the following.
5
F
m 2 BFG = (0.5)(mCD + mGB)
True False
Please help

Answers

Answer:

True

Step-by-step explanation:

∠BFG is an interior angle, then:

m∠BFG=[m arc(GB) + m arc(CD)] / 2

or in other words

m∠BFG = (0.5)(m arc CD + m arc GB)

Answer:

TRUEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.

Answers

Answer:

2 times became that's correct

The probability of choosing yellow is 5/12

Solve the system of equations using elimination

Answers

Answer:

(1, 3).

Step-by-step explanation:

x + 2y = 7

3x - 2y = -3

Adding the 2 equations will eliminate y:

4x  = 4

x = 4/4

x = 1

Plug x = 1 into the first equation:

1 + 2y = 7

2y = 6

y = 3.

In AMNO, the measure of Z0=90°, OM = 1.7 feet, and NO = 6.7 feet. Find the measure of ZN to the nearest degree.​

Answers

Answer:

14°

Step-by-step explanation:

deltamath

An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redville directly

Answers

Answer:

230

Step-by-step explanation:

To the nearest 10th, find the measure of the missing side.

Answers

Answer:

Climate change includes both global warming driven by human emissions of greenhouse gases, and the resulting large-scale shifts in weather patterns.

is 2/6 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

I think it’s rational because irrational can be written as a decimal, but NOT as a fraction

A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions by 2 inches by 2 inches by 2.7 inches

What is the volume of the computer?

Answers

Answer:

10.8 in³

Step-by-step explanation:

2x2x2.7=10.8

2.8.9 An e-mail filter is planned to separate valid e-mails from spam. The word free occurs in 60% of the spam messages and only 4% of the valid messages. Also, 20% of the messages are spam. Determine the following probabilities: a. The message contains free. b. The message is spam given that it contains free. c. The message is valid given that it does not contain free.

Answers

Answer:

.

Step-by-step explanation:

Answer:

ਜੇ ਤੁਹਾਡਾ ਆਪਸ ਵਿੱਚ ਭੜਕਣਾ ਵੀ ਬਹੁਤ ਚੰਗਾ ਹੁੰਦਾ ਹੈ,

Step-by-step explanation:

Solve 17 x 5/8 as a mixed number

Answers

Answer:

it's 10 and 5/8

Step-by-step explanation:

I hope this has helped you

The solution of expression [tex]17 \times \dfrac{5}{8}[/tex] in the form of mixed number would be  [tex]10 \dfrac{5}{8}[/tex].

Used the concept of multiplication that states,

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

Given that the expression to solve,

[tex]17 \times \dfrac{5}{8}[/tex]

Now multiply separately with the numbers given,

[tex]17 \times \dfrac{5}{8}[/tex]

[tex]\dfrac{85}{8}[/tex]

It can be written as,

[tex]10 \dfrac{5}{8}[/tex]

Therefore, the mixed form of solution is [tex]10 \dfrac{5}{8}[/tex].

To learn more about multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Subtract. (−2+5i)−(−2+9i) Enter your answer in the box.

Answers

Answer:

-4i

Step-by-step explanation:

Answer:

14i

Step-by-step explanation:

(-2+5i)-(-2+9i)

remove () because they are unneeded

-2+51--2+9i

-2+5i+2+9i

0+14i

14i

Complete the table to show an equivalent ratio where the total amount is 100 grams.

Answers

Answer:32

Step-by-step explanation:

i did it, just multiply by 4

The percent of 32% of her daily amount of fiber, she has at breakfast.

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Keesha keeps track of the fiber she eats to make sure she gets enough each day.

Her breakfast contains 8 grams of fiber, and her recommended daily amount is 25 grams per day.

Keesha wants to know what percent of her daily amount of fiber she has at breakfast.

The table to show an equivalent ratio where the total amount is 100 grams.

Let n be the required value.

That means,

8/25 = n/100

n = 800/25

n = 32

Therefore, her daily amount of fiber is 32%.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ2

Please help me with this work

Answers

Answer:

1. (5y) = 35

2. (6y) = 1

3. (4y) = 2

4. (11y) = 15

5. 18, 24, 42, 60

The number of miles Henry rides his bike in 10 days is 60miles

Step-by-step explanation:

What is the area of the parallelogram?​

Answers

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

Aiden is eating from the box of cereal

shown. Find the total surface area of the box.

cereal

13.5 in.

2.5 in.

8 in.

Total surface area?

Answers

Answer:

323.5 square inches

Step-by-step explanation:

The cereal box is not shown. However, the given details are enough to arrive at a solution

[tex]Length = 13.5in[/tex]

[tex]Width = 2.5in[/tex]

[tex]Height = 8in[/tex]

Required

The total surface area (TSA)

This is calculated as:

[tex]TSA = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

[tex]TSA = 2 * (13.5 * 2.5 + 13.5 * 8 + 2.5 * 8)[/tex]

[tex]TSA = 2 * (161.75)[/tex]

[tex]TSA = 323.5[/tex]

Hence, the total surface area is 323.5 square inches

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=7900(1.05)^x

Answers

Answer:

5% increase

Step-by-step explanation:

Other Questions
SOMEONE PLZ TAKE THE TIME TO READ THISAmelia Earhart: PioneerAmelia Earhart was born in 1897 in a small Kansas town. That was six years before the Wright brothers took their famous first airplane flight in Kitty Hawk, North Carolina. Over the next two decades, aviation developed rapidly, but the pilots at the controls were mainly men. Amelia Earhart broke through that barrier to become a famous aviator, and she paved the way for women who followed. Amelia Takes OffAmelia took her first flying lesson in 1921. At the end of the year, she received her pilots license. She took odd jobs and received financial help from her mother to buy her own airplane. With a plane of her own, Amelia quickly began making a name for herself in the aviation world. In October 1922, she broke a world record for female pilots by flying her plane to 14,000 feet in altitude. In 1923, she received her International Pilots Licensejust the sixteenth woman in the world to do so. Unfortunately, Amelia had to sell her plane to give her mother money, and for a while, her love of aviation became more of a hobby.But this all changed in 1928 when Amelia was contacted by publisher George Putnam, who she later married. He invited her to be a passenger on a cross-Atlantic flight. Amelia would have preferred to be the pilot, not the passenger, but at the time, flying a plane over an ocean was considered too dangerous for women.The flight was successful, and Amelia became world-famous as the first woman to fly across the Atlantic. However, Amelia was not satisfied. She did not get to operate the controls during the flight and thought of herself as being no more important to the flights success than a sack of potatoes. She was determined to fly on her own.Amelia Reaches StardomIn 1929, Amelia became involved with an organization called the Ninety-Nines, a group that promoted female pilots in the aviation industry. She was the groups first president. In May of 1932, Amelia crossed the Atlantic again, but this time she was at the controls. She made the trip from Canada to Ireland in 15 hours. She received many medals and awards for her achievement.Amelia hoped her success would open doors for women in aviation and in other fields, so she continued flying and setting records. She became the first person to fly across both the Atlantic and Pacific oceans when she flew from Hawaii to California.An Extraordinary MissionEven after proving she was a world-class aviator, Amelia still wanted more. In 1937, she set off on an amazing trip: flying around the world. Amelia started in California but faced trouble along the way. She became ill, her plane needed repairs, and bad weather forced a change in the flight route. She made it to one of her planned stops near Australia, but she never made it to her next destination. People all over the world were following the news of Amelias tripand now she was missing! President Franklin D. Roosevelt conducted a $4 million rescue mission, but Amelia was never found.Amelia hoped that her actions would inspire other women to follow their dreams. One of her lifelong missions was for the world to recognize that women could have the same careers as men. Even though she died at a young age, just 40 years old, Amelia was an inspiration to many.Amelia Earhart is sitting in her plane with her aviation hat and goggles on.How does the narrators point of view influence how Amelia Earharts life is described? A. The narrator sees her as normal and makes her look common and boring. B. The narrator looks at her as a lucky woman and makes her look happy and popular. C. The narrator sees her as a failure and makes her look weak and silly. D. The narrator sees her as a pioneer and makes her look courageous and adventurous.1 / 190 of 19 Answered Sidebar 4 suggests that A Earharts main focus was on flying her airplane, instead of eating B Earhart did not plan for the flight to take as long as it did C Earhart ate big meal before taking off from Canada D Earhart could not bring many items with her onto the airplane Please help! What is the value of x? A student is studying the levels of organization in living things and creates a table to give examples of the different levels.Which of these should the student write as an example of the organism level of organization?A. sparrowB. stomachC. muscle tissue D. culture of bacteria In a large citys recent mayoral election, 131,506 out of 309,153 registered voters actually turned out to vote. If 20 registered voters are randomly selected, find the probability that 7 of them voted in the mayoral election. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability. A) G17 + 4xH4x+12/1159DA) 12C) 13B) 3D) 14 Is Lisa angry about the football match? Her team lost after Manchester United scored two goals. She's more than angry, she's ________________! She thinks the referee was totally unfair.. .(: 1)absolutely angryridiculousfuriousfrustrated Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcusspells a word correctly and has the opposite score. Which is the correct way to represent the opposite ofLiliana's score is equal to Marcus's score"?0 -18-18O-(-18) --18-(18) --18-(-18) - 18 Who was the renowned American philosopher who made notable contributions in hisstudies on experience, interaction, and reflection? What does it mean that a material transmits waves?Waves will stop and transfer energy when they hit the material.Waves will pass through the material.Waves will bend and change their direction slightly when they hit the material.Waves will bounce off the surface of the material. relate diffusion and equilibruim 25 POINTS RNNow, choose one of the qualities you selected. In one or two sentences, explain why it's an important part of leadership. Metals are amazing, and they are all around us. You can probably easily identify them by their shiny surfaces and tinny sound when you tap them.a. Trueb. False What did Peter the Great build? And why? Math Problem 30 points please help what are the desirable properties of base period Taking minerals such as coal, copper, and silver from the ground is called:harvestingtillingmining respond if you got a min to help me with my problem A payment of $3,900.00 increases to $5,266.00.What is the % increase? if x stands for am number what is the mathematical phrase that represents three more than the number