f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.
x -8 -3 0 3 8
f '(x) 5 4 0 -2 -4
If f '(x) is always decreasing, which statement about f(x) must be true?


a.
f(x) has a relative maximum at x = 0.

b.
f(x) is concave upwards for all x.

c.
f(x) has a point of inflection at x = 0.

d.
f(x) passes through the origin.

Answers

Answer 1

9514 1404 393

Answer:

  a.  f(x) has a relative maximum at x = 0.

Step-by-step explanation:

Since f' is decreasing, the second derivative is negative. That means the graph is concave downward, so any critical point is a relative maximum.

  f(x) has a relative maximum at x=0 (where f'(0) = 0)

__

There is no indication that the second derivative is ever zero, so there is no point of inflection.

No values of f(x) are given, so we cannot say whether the function passes through the origin.


Related Questions

A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60
feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet,
how many gallons will the muralist use?

Answers

Answer:

2.4 gallons

Step-by-step explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons

Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8

Answers

the second, third and fourth
Ummm well 80/10 isn’t equivalent.. and 80 divided by 10 isn’t equivalent either... and 8 isn’t equivalent either
Have a great day :)

Points R, S, T, and U lie on circle O.
R
S
o
U
© 2016 StrongMind Created using GeoGebra.
In circle 0. ZROSTOU, RS = 12x + 4 and TU=112 + 15.
What is the length of TU?

Answers

Answer:

136

Step-by-step explanation:

12x + 4 = 11x + 15 {Subtract 11x from both sides.}

(12x - 11x) + 4 = 15

x + 4 = 15 {Subtract 4 from both sides.}

x = 15 - 4

x = 11

Now, SUBSTITUTE 11 for x in 11x + 15.

11(11) + 15

121 + 15

136 units

The length of line TU is 136 units.

The original price of a book is $25. The book is on sale for 30% off.
What percent of the price are we paying? What is the price you will pay
for the book?

Answers

Answer:

You will pay 70% of the original price. You will pay $17.50

Step-by-step explanation:

100% is full price because 100%=1 (one whole).

100% - 30% = 70%

70% = 0.7

0.7 multiplied by $25 is $17.50


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."

YXZ and TUS

Kate asked her friend what her favorite class at school is  how could she changed her questioning so that she can collect statistical data

Answers

Answer:

If Kate is trying to ask multiple people, Making a bar graph would be smart in order to know how much people liked what.

Step-by-step explanation:

Kate could ask all of the sixth grade students what their favorite class is.

What is a Statistical Data?

Statistical data is defined as the data which are collected and interpreted in statistics.

These data are the information about something.

Given that,

Kate asked her friend what her favorite class at school is.

In order for her to collect statistical data, there must be more data related to the same question.

Then she can interpret the data with a conclusion.

So, she has to ask more people the same question that she asked with her friend.

So she could ask all of the sixth grade students what their favorite class is.

Hence the question can be changed as Kate could ask all of the sixth grade students what their favorite class is.

Learn more about Statistical Data here :

https://brainly.com/question/15376794

#SPJ2

After multiplying both the numerators and the denominators, it's time to simplify or
reduce your product.
Example: 2/5x3/4 = 6/20.
The greatest common factor of 6 and 20 is 2. We divide the top and bottom by 2, which
simplifies to 3/10.
What is the reduced product of 2/3 x 5/8?
A
10/24
B
5/12
С
1/2
D
10/12

Answers

Answer: The answer is B, 5/12.

hope this helped :)

Answer:

B. 5/12

Step-by-step explanation:

2/3 x 5/8 = 10/24

The greatest common factor of 10 and 24 is 2.

Since the GCF is 2,

We divide the numerator and denominator by 2 and get 5/12.

Therefore, the simplified fraction of 10/24 is 5/12.

Write impossible, unlikely, as likely as not, likely, or certain. Then, tell whether the probability is 0,close to 0, 1/2, close to 1, or 1 Picking a red marble from 4 white marbles and 7 green marbles

Answers

Answer:

Step-by-step explanation:

50 POINTS PLEASE HELP!!! Use the formula Circumference = 2nr, where r is the radius and a is 3. 14, to answer the question.
3.0 cm
What is the approximate circumference of the circle?
A 6.00 cm
B. 9.42 cm
C 18.84 cm
D 37.68 cm

Answers

Answer:

This one is easy I did this one before its A

Answer:

the answer is c

you times the radius with the 2 and the pi

Giving brainliest!!!!!!

Answers

Answer:

Answer should be 6, I think

Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number. ​

Answers

Answer:

Hi how are you doing today Jasmine

Laurie is working on a carpentry project. She has n feet of wood. While working, she realized that she needs 1/4
more wood than she currently has. Which expressions represent the total amount of wood she needs for her project? Select all that apply.)
A.n+1/4
B.5/4n
C.1/4n
D.5/4+n
E.n+1/4n

Answers

Answer:

E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has

find the expression as the cosine of an angle
cos pi/4 cos pi/9 - sin pi/4 sin pi/9

Answers

Answer: cos(13pi/36)

Step-by-step explanation: just did the assignment

determine whether the given ordered pair is a solution to the system of equations. 6x-2y=24 -3x+3y=24 and (10,18) yes, it is a solution no, it is not a solution​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Then Find The Value Of X ​

Answers

Answer:

15

Step-by-step explanation:

The given is a right triangle divided into two parts by a sector

so 3x + 45 = 90 subtract 45 from both sides

3x = 45 divide both sides by 3

x = 15

Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)

Answers

Answer:

3/36 -> 1/12 or 2/36 -> 1/18

Step-by-step explanation:

1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed

find the value of x please help I give brainly
20 points

Answers

Answer:

x=148

Step-by-step explanation:

First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.

x=148.

(お役に立てれば!)

This recipe makes 6 portions of fajitas.
Carly has 900 g of chicken, 1200 g of peppers, 150 g of onion, 60 g of spice mix and 30 tortillas.
How much more of each ingredient will she need to make 18 portions by following this recipe?

Recipe: Serves 6
500 g chicken
600 g peppers
90 g onion
25 g spice mix
12 tortillas

Answers

Answer:

She needs:

600 g chicken

600 g peppers

120 g onion

15 g spice mix

6 tortillas

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)


Well, first we multiply every ingredient in the recipe amount by 3, because 6 x 3 = 18. Then we’ll subtract what we have from what we need.

500 x 3 = 1500g of chicken
600 x 3 = 1800g of peppers
90 x 3 = 270g of onion
25 x 3 = 75g of spice mix
12 x 3 = 36 tortillas

Chicken: needs 1500, has 900
1500 - 900 = 600g more chicken needed

Peppers: needs 1800, has 1200
1800 - 1200 = 600g more peppers needed

Onion: needs 270, has 150
270 - 150 = 80 g more onion needed

Spice mix: needs 75, has 60
75 - 60 = 15g more spice mix needed

Tortillas: needs 36, has 30
36 - 30 = 6 more tortillas needed

Please let me know if you have any questions.

What is the value of (5)3?​

Answers

Answer:

15

Step-by-step explanation:

This is simply just 5 x 3 = 15


Sophie needs to determine the amount of water that will fit into her new vase, shown below.

Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere

Answers

Answer:A truncated cone and a sphere

Step-by-step explanation:

I just did it.

The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

Sophie needs to determine the amount of water that will fit into her new vase, as shown below.

What is the volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.

Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

To learn more about the volume visit:

https://brainly.com/question/1972490

#SPJ2

help me with all these questions please

Answers

usa a caucula ciêntifica

What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?

Answers

Answer: 3084

Step-by-step explanation: 14•17=238 238•13=3084

Answer:

3094

Step-by-step explanation:

l=13   w=17   h=14

v = L W H

V= ( 13 ) ( 17 ) ( 14 )

V= 3094 meters 3

 Your Solution:

                       V= 3094

32 1/2 meters to feet

Answers

Answer:

106.6273

Step-by-step explanation:

Answer:

106.6273 ft

Step-by-step explanation:

Which of the following tables shows that y is a function of x?

Answers

Answer:

Table B

Step-by-step explanation:

Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.

The only table that satisfies this condition is the table in option B.

In table B, every x-value is related to only exactly one y-value.

A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.

Answers

Answer:

the kangaroo will travel 10 kilometers

Step-by-step explanation:

15/3=5

5×2=10

Answer:

10

Step-by-step explanation:

We can use the ratio:

3:2

15:?

15/3 is 5

2*5 is 10.

Here are some points. What is 2/5 out of twenty?

Answers

Answer:

8

Step-by-step explanation:

You just need to multiply 20 by 2/5

Or, multiply 20 by 2, then divide by 5.

20 x 2/5

40/5

8

2/5 of 20 = 40/5 or simply, 8.

Have a great day!

. To test H0: m = 105 versus H1: m ≠ 105, a simple random sample of size n = 35 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why? (b) If x = 101.9 and s = 5.9, compute the test statistic. (c) Draw a t-distribution with the area that represents the P-value shaded. (d) Approximate and interpret the P-value. (e) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, will the researcher reject the null hypothesis? Why?

Answers

Answer:

A.) No

B.) test statistic = - 3.108

Check explanation

Step-by-step explanation:

H0: m = 105 versus H1: m ≠ 105

Sample size, n = 35, since we have a large sample size, greater than 30.

B.)

xbar = 101.9 ; s = 5.9

Test statistic :

T = (xbar - μ) ÷ (s/√n)

T = (101.9 - 105) / (5.9/√35)

T = - 3.1 / 0.9972820

Test statistic = - 3.11

Pvalue from Tstatistic, df = 34

Pvalue = 0.003772( Pvalue calculator)

Pvalue is the probability of obtaining a value more extreme or exactly that of the test statistic.

At α = 0.01

Pvalue < α ; We fail to reject the Null

A cone has a height of 10.3 inches and a radius of
3 inches.
What is the volume in terms of it?
20. 6n in
30.91 in
64. 6841 in
0 97.0261 in

Answers

Volume of cone = pi * r^2 * h/3
(pi * 3^2 * 10.3/3)
3.14 * 9 * (10.3/3) = 97.026

Solution. 97.026 in^3

A circular grade has a circumference of 38 yards .Lars is digging a straight line along the diameter of the garden at a rate of 3 yards.How many hours will it take to dig acceso the garden?

Answers

Answer:

It will take 4 hours to dig access to the garden.

Step-by-step explanation:

Given that a circular grade has a circumference of 38 yards, and Lars is digging a straight line along the diameter of the garden at a rate of 3 yards, to determine how many hours it will take to dig access to the garden, the following calculation, knowing that the diameter of a circle is equal to the circumference divided by π:

38 / π = X

38 / 3.14 = X

12.09 = X

12.09 / 3 = 4.03

Therefore, it will take 4 hours to dig access to the garden.

Solve the equation. 2cos2(x+30°)=1 for 0°≤x≤360°​

Answers

2*[tex]cos(x+30)^{2}[/tex]=1

x = 15

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