what is the sign of f on the interval -5

Answers

Answer 1

Answer:

f(x) = x3 - 3x + 1

f'(x) = 3x2 - 3 = 3(x2 - 1) = 3(x+1)(x-1)

Find the critical numbers:  set f'(x) = 0

                                    3(x+1)(x-1) = 0     x = 1, -1

Check the sign of f'(x) on either side of each critical number.  If f'(x) is positive on an interval, then f is increasing on the interval.  If f'(x) is negative on an interval, then f is decreasing on the interval.  

     +      l       -       l      +     sign f'(x)

-------------------------------------

            -1              1

f is increasing on (-∞, -1) υ (1, ∞)

f is decreasing on (-1, 1)


Related Questions

What is the ordered pair for A’ if A(2,-3) is reflected over the x-axis?

Answers

Answer:

A´= (2, 3)

Step-by-step explanation:

Do all of this for candy
Oh and pls explain how

Answers

Answer:

1) 1/2

2) 3

3)-5

Step-by-step explanation:

to find slope: divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. so here on 1) you do (3-2)/(2-0)= 1/2.

2) (7-1)/(-1- (-3))= 6/2=3.

3) (-15-0)/(7-4)= -15/3=-5

Find the value of x. Show your work, congruent triangles

Answers

Answer:

x = 12

Step-by-step explanation:

130 + y = 180   {linear pair}

          y = 180 - 130

         y = 50°

3x - 6 +8x + 4 + 50 = 180        {Angle sum property of triangle}

3x + 8x - 6 +  4 + 50 = 180          {Combine like terms}

          11x + 48          = 180

                    11x        = 180 - 48

                          11x = 132

                            x = 132/11

x = 12°

Can anyone please help me figure this problem out?​

Answers

Answer:

x = 12

Step-by-step explanation:

Reference angle = 45°

Opposite side length = x

Hypotenuse = 12√2

Thus, to find x, apply trigonometric ratio.

[tex] sin(45) = \frac{x}{12\sqrt{2}} [/tex]

Multiply both sides by 12√2

[tex] sin(45)*{12\sqrt{2}} = x [/tex]

[tex] \frac{1}{\sqrt{2}}*{12\sqrt{2}} = x [/tex] (sin 45 = 1/√2)

[tex] \frac{1*12\sqrt{2}}{\sqrt{2}} = x [/tex]

[tex] \frac{12\sqrt{2}}{\sqrt{2}} = x [/tex]

12 = x

x = 12

Can you help me with this question?

Answers

Answer:

3

Step-by-step explanation:

If the wire is in a square and all the sides are 5 inches when you unfold the wire it will be 20 inches long so if the length of the wire ina regtangle is 7 then the width is 3

Answer: 3.

Step-by-step explanation: The answer is 3 because the original shape was a square with all of the sides with the length 5. Because there are 4 sides in a square, the perimeter of the square is 20(5+5+5+5). Now, the square has been reshaped into a rectangle. If one of the side lengths of the rectangle is 7, the opposite and parrallel side has to be 7. 7+7 is 14. Now the expression is perimeter = 14 + 2(missing width). If you plug in 3, that expression is now 14+6, which is 20. Therefore, the missing side width is 3.  

Find the distance between the points (1.0) and (0.2)

Answers

YEH ITS WRONG SORRY DON'T REPORT ME!

Let’s start! Can you solve this equation 4x4

Answers

Answer:

4x4 is 16

Step-by-step explanation:

mmmm lemme guess.. is it 736??:o

Helppppp pleasseeeee

Answers

Answer:

Step-by-step explanation:

(3, 1) (6, -1)

(-1 -1)/(6-3) = -2/3

y - 1 = -2/3(x - 3)

y - 1 = -2/3x + 2

y = -2/3x + 3

what is the slope of line parallel to line y=3x+2?

Answers

Answer:

3

Step-by-step explanation:

The slope is 3 because when two lines are parallel, they have the same slope.

Answer:

Two lines that are parallel have the same slope. So in this case, the slope to the function parallel to f(x)= 3x+2 is equal to 3

How many 1/3 inch cubes does it take to fill a box with width 2 213 inches, length 3 1/3
inches, and height 2 1/3 inches?

Answers

Answer:

560 cubes

Step-by-step explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches

Now calculate the volume of your 1/3 inch cube:

V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches

Now divide the V_box by V_cube:

Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes

Find the value of N
6:7 = n : 4 : 2

Answers

Answer:

3.428 or 3 wholes 3/7

Step-by-step explanation:

6 : 7 = n : 4 : 2

6 : 7 = n : 4

6/7 = n/4

7n = 24

n = 24 /7

n = 3. 428 or 3 wholes 3/7

What is the compound interest on investing $600 for 3 years at 7% per annum? ​

Answers

Answer:

After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03

integers between -1and -5​

Answers

-2, -3, -4.

an integer is a number that isn't a fraction. so literally any natural number like 1, 0, or -1. all integers.

What is the equation of this line?

a) y = 3/2x

b) y = -2/3x

c) y = -3/2x

d) y = 2/3x ​

Answers

Answer:

Its A) y=3/2x

Step-by-step explanation:

-3/2x would be the exact opposite of 3/2x it would be the same line but facing the left side because its on the negative side. And the others are not the same as 3/2x.

Sorry if i could not explain that well, but I am 99% sure its A, y=3/2x

translate into mathematical phrase.the weight (w) is more than 2kg​

Answers

Answer:

w>2kg

Step-by-step explanation:

the weight is greater than 2kg.

write the equation of a line in standard form that has a slope of 3 and passes through the point (-2,4)

Answers

Answer: E) 3x - y = 2

Step-by-step explanation:

Standard form is Ax + By = C

Ax must be positive

Hope this helps <3

Louis and Ricardo took a timed a reading test, and the results below show the number of words each student can read per minute which student reads at a faster rate ?

Answers

Answer:

Louis reads faster

Step-by-step explanation:

See attachment for complete question.

The table represents Louis data while the graph represents Ricardo's data.

To solve this question, we simply calculate the slope of the table/graph,

The slope (m) is calculated by:

[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Louis:

From the table, we pick any corresponding x and y values

[tex](x_1,y_1) = (2,436)[/tex]

[tex](x_2,y_2) = (6,1308)[/tex]

[tex]m_1 = \frac{1308 - 436}{6-2}[/tex]

[tex]m_1 = \frac{872}{4}[/tex]

[tex]m_1 = 218[/tex]

For Ricardo:

From the graph, we pick any corresponding x and y values

[tex](x_1,y_1) = (2,300)[/tex]

[tex](x_2,y_2) = (6,900)[/tex]

[tex]m_2 = \frac{900- 300}{6-2}[/tex]

[tex]m_2 = \frac{600}{4}[/tex]

[tex]m_2 = 150[/tex]

So, we have:

Louis: [tex]m_1 = 218[/tex]

Which means 218 words per minutes

Ricardo: [tex]m_2 = 150[/tex]

Which means 150 words per minutes

What's the first 25 numbers of pie without you googling it.

Answers

Answer:

3.141592653589793238462643

Step-by-step explanation:

Pretty obvious.

what an "Nerd"

83, 694 ,357 expanded notation using descending order ​

Answers

Answer:

Step-by-step explanation:

eighty three, three hundred and fifty seven,six hundred and ninty four

80+3=83,300+50+7=357,600+90+4=694

This is the order.

Hope this helps!

Hello please help me solve this :) will give braisnlt xo

Answers

1.immigrants
2.native born
3.citizen
4.quotas
5.census
6.naturalization

Answer:

1) immigrant

2) citizen

3) native born-citizen

4) quotas

5) census

6) birth rate

Step-by-step explanation:

..

Point X has coordinates (-4, -5) and point y has coordinates (--1, --5 ) which expression models the distance between points X and Y ?

Answers

Answer:  The last expression shows the result of 3  so it models the distance between x and y.

Step-by-step explanation:

First you will have to  find the distance between the two points by square the x coordinates and squaring the y coordinates to find their sum .  

-4 - (-1) = -3

-5 - ( -5) = 0

-3^2 + 0^2 = d^2   where d  is the distance

9  = d^2

d= 3  

The distance is 3 units  

Now evaluate which expression have a solution as 3.

The last expression is the answer

the absolute value for -4 is 4   , and the absolute value for -1 is 1  and 4 minus 1 is 3.

please I need a solution

Answers

Answer:

EEEEEeeEEeEEEEEEEeEEEEEEEEEE eEEEEEEEEeEEEEeEeEeEEEEEeeeeeeeeEeeeeEeeeeEeeEeeeEeeEe a good day at work and I will

what is 3whole number minus 1whole number 1/4​

Answers

1 3/4 or 7/4

Ensure to heart if this helps$

Answer:

3-1*1/4

3-1/4

12-1-(/4)

11/4

Which is the correct answer?

(Note): (if you give me a silly or absurd answer I will report you)​

Answers

Step-by-step explanation:

Since N ≡ 0 (mod 2) and N ≡ 0 (mod 3),

N ≡ 0 (mod (2*3)) ≡ 0 (mod 6).

Hence when N is divided by 6,

the remainder is 0. (A)

What is 9 square foot in square feet ?

Answers

9 square feet is 81 feet

Is the graph proportional or nonproportional number of chores and age

Answers

Answer:

where is the graph??

Step-by-step explanation:

In 2006, the average NFL ticket price was $62. If the average ticket price in 2015 was $86, what is the rate of change?

Answers

Answer:

24/9 or $2.67/year

Step-by-step explanation:

what is a equivalent expression for 4(x-2)

Answers

Ig HD kbcoudy kvyshgsy bc b hygyxfj

At the beginning of the year Monica puts a set amount of money into her health benefit account. Every month she withdraws $15 from this account for her contact lenses. After 3 months she has $255 left in her account.


Write an equation in slope-intercept form to represent the relationship between the time that has passed and the amount of money left in Monica's account. Let x represent the time in months and y represent the amount of money remaining in the account.

Answers

Answer:

An equation in the slope-intercept form is:

[tex]y = 15x+210[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  m is the rate of change or slope and b is the y-intercept

Given

Let x represent the time in months Let y represent the amount of money remaining in the account.

Given that every month Monica withdraws $15 from this account for her contact lenses

so, the rate of change or slope = m = 15

Given that after 3 months she has $255 left in her account.

i.e. (3, 255)

substituting [tex]m = 15[/tex], [tex]x = 3[/tex] and [tex]y = 255[/tex] in the slope-intercept form to determine the y-intercept

[tex]y = mx+b[/tex]

[tex]255 = 15(3) + b[/tex]

switch sides

[tex]15(3) + b = 255[/tex]

[tex]45 + b = 255[/tex]

[tex]b = 255 - 45[/tex]

[tex]b = 210[/tex]

Thus, the y-intercept b = 210

Now, substituting [tex]m = 15[/tex] and [tex]b = 210[/tex] in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 15x+210[/tex]

Hence, an equation in the slope-intercept form is:

[tex]y = 15x+210[/tex]

Calculate the value of this expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning. (0.01)⋅(0.02) *

Answers

Answer:

0.0002

Step-by-step explanation:

hope this helps

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