f(x) = -x^3 + 3x^2 + x - 3 Using the end behavior of f(x), determine the graph of the function​

Answers

Answer 1

Answer:

Here, the given function,

Since, the leading coefficient is negative, and degree is odd,

Thus, the end behaviour of the function is,

Therefore, the graph rises to the left and falls to the right.

Now, when f(x) = 0

That is, graph intercepts the x-axis at (3, 0), (1, 0) and (-1, 0).

When x = 0,

That is, graph intersects the y-axis at ( 0, -3),

Also, for 0 > x > -1 , f(x) is decreasing,

For 2.55 > x > 0, f(x) is increasing,

For 3 > x > 2.55, f(x) is decreasing,


Related Questions

At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.

Answers

Answer:

10

Step-by-step explanation:

100% = 40 teams

1% = 40 ÷ 100 = 0.40

25% = 0.40 x 25 = 10

Answer:

10

Step-by-step explanation:

100%/4=25%

40/4=10

You have to divide 100% by 4 because 25 goes into 100 four times.

What ever you do on the bottom or top you to do it top or bottom.

So 40 divide by 4 is 10.

Then you have you answer.

What is a improper fraction and a mixed multiplication

Answers

Answer:

Step-by-step explanation:

An improper fraction is a fraction that the numerator is greater than the denominator. As for a mixed fraction, that is a whole number with a fraction next to it.

Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *

(0, 3)

(0, -3)

(4, -3)

(-4, 3)

Answers

It would be (0,3). You can see that the A is 2 units from the line. If you do it from the other side, then it would line up to (0,3)

Please help!! I need the answer asap

Answers

Hello,

I believe it’s the last one

Chloe compares the growth of plant species A and B. Part A What do the box plots tell you about the growth of a typical plant of each species? Choose the correct response. Plant B typically grows 1 cm taller than Plant A, since the range for Plant B is 1 cm greater. Plant B typically grows 1 cm taller than Plant A, since the IQR for Plant B is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the median for Plant A is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the mean for Plant A is 1 cm greater.

Answers

Answer:

Type A Type B

Median 52 grams 52 grams

Lower Quartile 49 grams 51 grams

Upper Quartile 57 grams 54 grams

Range 14 grams 8 grams

Interquartile Range 8 grams 3 grams

From this table we can see that both types of tomato have the same average mass because their medians are the same.

Comparing the medians and interquartile ranges shows that there is far more variation in the masses of the type A tomatoes, which means that the masses of type B are more consistent than those of type A.

However, comparing the two box and whisker plots, and the upper quartiles, shows that type A tomatoes will generally have a larger mass than those of type B.

Nevertheless, there will be some type A tomatoes that are lighter than any of type B.

Taking all this together, the gardener would be best advised to plant type A tomatoes in future as he is likely to get a better yield from them than from type B.

Step-by-step explanation:

Hi

calculate the middle number between 1.5 and 7.1

Answers

Answer:

4.3

Step-by-step explanation:

Add the numbers and divide by 2 , finding the average, that is

middle number = [tex]\frac{1.5+7.1}{2}[/tex] = [tex]\frac{8.6}{2}[/tex] = 4.3

Answer:

4.3 is the answer

Step-by-step explanation:

(1.5 + 7.1 ) ÷ 2 = 4.3

Find y when x = -3 for the following equation: y = 6x + 8 PLS HELP ASAP

Answers

Answer:

y= -10

Step-by-step explanation:

y=6(-3)+8

y=-18+8

y= -10

help pls

. ________.

Answers

Answer:

#8)  x = 12

Step-by-step explanation:

vertical angles are congruent

5x + 10 = 70

5x = 60

x = 12

the length of the edge of a cube is ³√7 cm. Find the volume of a cube​

Answers

Answer:

7 [tex]cm^{3}[/tex]

Step-by-step explanation:

volume is length X width X height

since a cube has the same measurement for length, width, and height, the volume is found by multiplying [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex]

the answer is 7

A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12

Answers

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 900 kilopascals. What will it be in 7 minutes?

Answers

9514 1404 393

Answer:

  629 kilopascals

Step-by-step explanation:

The tire pressure is given by the exponential function ...

  p(t) = 900·0.95^t

where t is in minutes and p is in kilopascals.

  p(7) = 900·0.95^7 ≈ 629 . . . . kilopascals

Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?

Answers

Answer:

18 More Minutes

Step-by-step explanation:

Hi,

I think I can help.

What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.

To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.

But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)

So we can do :

40 / 4

=

10%

Also

12 / 4

=

3

So with this we can conclude that 10% of his total time is 3 minutes.

Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.

So :

10% x 10

=

100%

3 x 10

=

30 minutes

So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.

We can now simply take the total time and take off the time spent already to find this answer :

30 - 12

=

18 minutes

That is your answer, he needs to study 18 more minutes.

I hope this helps!

If you have any questions or concerns please comment or message me! :)

PLEASE ANSWER ASAP !!!

Answers

Answer:

the midpoint would be:(0,5)

Step-by-step explanation:

Describe the answer dont draw it out

Answers

Answer:

Heres what you do:

Plot a filled in, completlely black circle on the 2.

Make sure the line is going right, (-->) from the point

^^^ this is correct!


A rectangular prism has a width of 3 cm and a height of 8cm and a length of 9 cm. What is the surface area of the prism?

Answers

Answer:

A=246cm

Step-by-step explanation:

L= 9

W= 3

H= 8

2·(3·9+8·9+8·3)= 245

Formula= A=2(wl+hl+hw)

what is r + 3/4 = 7/8

Answers

Answer:

r + ¾ = ⁷/₈

r = ⁷/₈ - ¾

⁷/₈ - ⁶₈ = ¹/₈

r = ¹/₈

Step-by-step explanation:

but my original answer was 4/4

Steve has 10 biscuits in a tin.
There are 6 digestive and 4 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.

Answers

Answer:

31/90 is the prob.

Step-by-step explanation:

sorry if this is incorrect :9

ty for reading :9

How many of these figures have at least one vertex?

Answers

Answer:

2

Step-by-step explanation:

Vertex means point where three edges meet . Two middle figures have vertices

7. Maria quiere agrandar la foto de su
graduación de manera proporcional de
tal manera que su área sea 16 veces la
de la original. Si la que se muestra a
continuación tiene las medidas de la
foto original, ¿cuál será el perimetro de
la nueva foto?
6
24
960
450
240
76​

Answers

Answer:

the perimeter is 960

Step-by-step explanation:

The computation of the perimeter is shown below;

If we assume

= (24 × 2) + (6 × 2)

= 48 + 12

= 60

And, the area is 16 times to that of original So

= 60 × 16

Hence, the perimeter is 960

I need help with this

Answers

the answer to this is 9 miles. i included my work below

% of 75 is 25
% of 4 is 7
% of 15 is 6

Answers

of means multiply! so-

x * 75 = 25 x = 33.3%

x * 4 = 7 x = 175%

x * 15 = 6 x = 40%

Area of a rectangle is (6x25x + 2) sq. units.
the breadth of the rectangle is 6x - 7 units, what is its length?

write the expression which represents the perimeter of the rectangle

lf x=10m, find the actual length, breadth and area of the rectangle.​

Answers

Answer:  meters. Step-by-step explanation:  Let L be the length of the rectangle.  We have been given that the rectangle has an area of square meters and a width of meters.  Since we know that area of a rectangle is the product of its length and width.  To find the length of our given rectangle we will divide the area of the rectangle by the width of our rectangle.  Let us factor out our numerator by splitting the middle term.  Upon canceling out x-7 from numerator and denominator we will get,  Therefore, the length of our rectangle will be metered.

at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school​

Answers

Mark as Branliest if you like the answer and want to be ansewered frequently within no time

PLS HELPP! :)

What is the radius with a circumference of 122 in?

Answers

Answer:

this is the answer r≈19.42in

because you radius with a circumference of 122in

and that's your answer

Step-by-step explanation:

hope it works

What is the sum of k° + i°?

Answers

Answer:

we have:

k + 70° = 180°

=> k = 110°

u can see that i = 180°

=> k + i = 110° + 180° = 290°

Step-by-step explanation:

Help I will be marking brainliest!!!

A. 201.32
B. 37.24
C. 96
D. 126.32

Answers

Answer:

96

Step-by-step explanation:

su=153

ts=57

su-ts=tu

153-57=96

tu=ou

ou=96

Answer:

A

Step-by-step explanation:

Find length of segment > Been so long i did this problem

How I get answer by simplify

SU = 153

Multiply to CO =75

Divide that 57

Which get 201.31 ,But your question round nearest hundredth

201.32

Answer : A

~~~~~~~~~~~~~~~~~~~~~~~

" Problem it said look carefully" Round nearest hundredth

Rafael was asked to construct a square inscribed in a circle. He drew a circle and
a diameter of the circle. Describe how to complete his construction. Then, complete
the construction.

Answers

Answer:

here you go

Step-by-step explanation:

I need help!!! PLEASE HELP ME

Answers

Answer: y=8

Step-by-step explanation:

.A 15 m ladder rests against a wall at an angle of 60° with the ground. How far is the
foot of the ladde from the wall?

Answers

9514 1404 393

Answer:

  7.5 m

Step-by-step explanation:

The cosine relation applies.

  Cos = Adjacent/Hypotenuse

  cos(60°) = (distance to wall)/(15 m)

  distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m

The foot of the ladder is 7.5 m from the wall.

simplify the complex rational expression

Answers

Answer:

[tex]2(x+2)/x+1[/tex]

Step-by-step explanation:

Answer:

2( x +2 )

x+1

Step-by-step explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time [tex]\frac{x-2}{x-2}[/tex]

since [tex]\frac{x}{x-2}[/tex] and [tex]\frac{x-2}{x-2}[/tex] have the same denominators add them by adding their numerators

combine x + x -2

factor [tex]x^{2}[/tex] - 4

to add or subtract expressions expand them and multiply by 1

have same denominator add them by adding their numerators

do the multiplications in 3 + ( x-2 )(x+2)

combine like terms in 3 + [tex]x^{2}[/tex] + 2x - 2x -4

divide [tex]\frac{2x-2}{x-2}[/tex] by [tex]\frac{-1 + x^{2} }{(x-2)(x+2) }[/tex] multiplying [tex]\frac{2x-2}{x-2}[/tex]

cancel out x-2 in both numerator and denominator

factor the expression that are not already factored

cancel out x-1  in both numerator and denominator

expand the expression

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