The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below.


On a coordinate plane, a function is shown. The function starts from the bottom of quadrant 3 and goes up through the x-axis at (0, negative 0.25) and then through the y-axis at (0, 2). It then starts to curve down at (0.5, 4) until it reaches (1.75, negative 0.5). It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3.

How many roots of f(x) are rational numbers?
0
1
2
3

Answers

Answer 1

Answer:

3

Step-by-step explanation:

f(x) = 4x^3 – 13x^2 + 9x + 2

This looks complicated but all we need to find are the Roots

We are looking for when y=0

So given each part of the information, we can label how many times it happens

The function starts from the bottom of quadrant 3: Starts lower left

and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT

and then through the y-axis at (0, 2). : It's now on the 2nd quartile

It then starts to curve down at (0.5, 4): It's moving towards y=0

until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS

It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS

This polynomial function has 3 ROOTS

Answer 2

Answer: D. 3

Step-by-step explanation:

EDGE 2023


Related Questions

What is a formula for the nth term of the given sequence? 54, -36, 24...​

Answers

Answer :

an = a1 + (n-1) d

an = 54 + (9-1) -90

an = 54 + (8) - 90

an = 54 - 720

an = - 666

Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answer

Answers

Answer:

essentially, in these problems, youre finding the square root of each number. the square root should be a decimal thats in between two other numbers, and those will be the integers that the value of the square root is between. unless the value is exactly a number and a half, it will be closer to one integer than the other. the work is below.

square root of:

59= 7.68

68= 8.246

78= 8.83

93= 9.64

104= 10.198

124= 11.14

33= 5.74

185= 13.6

215= 14.66

these are just the square roots. but, as you can see, each number is between two other whole numbers on a number line. So, just write down what those numbers are.

7.68 is between 7 and 8

8.246 is between 8 and 9

8.83 is between 8 and 9

9.64 is between 9 and 10

10.198 is between 10 and 11

11.14 is between 11 and 12

5.74 is between 5 and 6

13.6 is between 13 and 14

14.66 is between 14 and 15

so, we know thw numbers that each decimal is between, but we have to find which one each is cloest to. in order to do that, just know that if the decimal is more than .5 its closer to the larger number, and its its less than .5, its closer to thw smaller number.

7.68 is closer to 8

8.246 is closer to 8

8.83 is closer to 9

9.64 is closer to 10

10.198 is closer to 10

11.14 is closer to 11

5.74 is closer to 6

13.6 is closer to 14

14.66 is closer to 15

At a local dealership, the base price of a car is $24,300. Adding air conditioning costs an extra $725. Upgrading to a leather interior costs an extra $1,225, and installing four heated seats costs $945. Round each cost to the nearest thousand and then estimate the total cost of the car, including the additional features. A. $26,000 B. $27,000 C. $28,000 D. $29,000

Answers

Answer:

B. $27,000

Step-by-step explanation:

Given that:

The base price of a car = $24300

The air conditioning costs = $725

The leather interior costs = $1225

Installation of four heated seats cost = $945

if we round each entity of item purchased to the nearest thousand, Then:

The base price of a car ≅ $24000

The air conditioning costs ≅ $1000

The leather interior costs ≅ $1000

Installation of four heated seats cost ≅ $1000

So, the total estimate = 24000 + 1000 + 1000 + 1000 = $27000

= $27000  to the nearest thousands

Can somebody plz help answer these questions CORRECTLY thanks!!
(Only if u know how to do it)

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD

Answers

Answer:

a)72% b)75%

Step-by-step explanation:

I’m not really sure bout a. If it changed to 50, I kept the amount she answered correct but out of 50-(36/50) to get the percent. b) is the 36 she got correct out of the 48 she tried to do-36/48 x 100

please answer will mark brainlyist

Answers

Answer:

A. I

B.R

C.R

D.R

E.I

Step-by-step explanation:

I= Irrational

R=Rational

Answer:

1) irrational

2) rational

3) rational

4) rational

5) irrational

Step-by-step explanation:

hope this helps!

if its right, plz mark me brainliest!

The United States government used to make coins of many different values
cont
3 cents
20 cents
$2
$5
For each coin, state its worth as a percentage of $1.
Type the answers in the boxes below.
1. cent
50
2. 3 cents
3
3. 20 cents
4. $2

Answers

Answer:

The answer is 3

Step-by-step explanation:

Gianna wants to buy holiday presents for her family. At the holiday sale, every ornament is $3 and every stocking is $8. Although there will be 24 people at holiday dinner, she wants to buy more just in case someone brings a guest. She has allotted $200 for gifts. Write a system of linear inequalities to represent the situation

Answers

9514 1404 393

Answer:

o + s > 243o +8s ≤ 200

Step-by-step explanation:

Let o and s represent the numbers of ornaments and stockings, respectively.

  o + s > 24 . . . . . . the total of gifts is more than 24

  3o +8s ≤ 200 . . . the maximum budget is $200

this is a sat practice. need help

Answers

Answer:

The answer is A) -1 + 12i

Step-by-step explanation:

(7 + 3i) + (-8 + 9i)

(7 - 8) + (3 + 9)i

7 - 8 = - 1

3 + 9 = 12

- 1 + 12

So you would have

(7+3i)+(-8+9i)

You go ahead and rewrite it like this

7-8+3i+9i

And then combine like terms

-1+12i

So your answer is A

HELLOOOO WHY IS NOBODY ANSWERING COULD SOMEONE ANSWER MY QUESTION I. REALLY. NEED. HELP!?!sorry if im annoying but I need help... Determine how many x-intercepts the quadratic function in the graph has and identify the intercept points.

Answers

Answer:

Its C

Step-by-step explanation:

the line crosses the x axis twice at the 2,0 point and the 6,0 point

Given parallelogram ABCD with mZBAD = 83° and m2 CBA = (9x + 7), 1 point
find the value of x.

Answers

Answer:

x is 10

Step-by-step explanation:

For a parallelogram, the sum of adjacent angles equals 180 degrees. Based on the given shape, mZBAD and <CBA are adjacent to each other

Hence mZBAD + mZCBA = 180

83 + 9x + 7 = 180

90 + 9x = 180

9x = 180-90

9x = 90

x = 90/9

x = 10

Hence the value of x is 10

A kite is flying 40 feet above a stop sign. The child flying the kite is standing 30 feet feet away from the stop sign. How long is the string from the child to the kite?

Answers

Answer:

70 feet

Step-by-step explanation:

A kite is flying 30 feet from a stop sign

The child flying the kite is standing 40 feet from the stop sign

Therefore the length of the string from the child to the kite can be calculated as follows.

= 30 feet + 40 feet

= 70 feet

Answer:

50 feet

Step-by-step explanation:

It's supposed to be 30x30= 900, 40x40= 1'600

900+1600=2500. 2500 square rooted= 50

the answer is 50

so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that

if a square has an area of 81mi whats it exact side length ​

Answers

Answer:

9

Step-by-step explanation:

Help me please !!!!!!

Answers

Answer:

z = -44

Step-by-step explanation:

3/4 (x - 8) = 4

3(x - 8) = 16

3x - 24 = 16

3x = 40

x = 40/3

4 - 2x = -5x - z

4 = -3x - z

z = -3x - 4

z = -3(40/3) - 4

z = -40 - 4

z = -44

Answer:

Z=-44

Step-by-step explanation:

To figure out z. we have to figure out x first

So

3/4(x-8)=4

x-8=4÷3/4

x-8=4×4/3

x-8=16/3

3x-24=16

3x=16+24

3x=40

x=40/3

Now

4-2(40/3)=-5(40/3)-z

4-80/3=-200/3-z

z-68/3=-200/3

z=-200/3+68/3

z=-44

What is a equivalent fraction to 8/15 using the denominator 15

Answers

Answer:

15/22

Step-by-step explanation:

show a graph for -12x-3y=36

Answers

Answer:

Here!!

Step-by-step explanation:

Hope this helped!!! have a good day :D

Abba grew 1 foot over the past year . He is now 5 feet tall. Draw a bar model to compare abba's previous height to the amount he grew over the past year

Answers

Answer:

Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year

Step-by-step explanation:

A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions

The height by which Abba grew over the past 1 year = 1 ft.

Abba's current height = 5 feet

Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet

Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio

Which ordered pair is in the solution set of y>1/3x + 4? (this > is actually greater than or equal too)

a.(-6, 1)
b.(-1,6)
c.(6,-1)
d.(1,-6)​

Answers

Answer:

looking for it

Step-by-step explanation:

Answer:

-1,6

Step-by-step explanation:

After subtracting 2x from each side, the resulting equation is shown below:
2x+4y=8
4y=-2x+8
the final step to solve for y would be to what?

Answers

divide both sides of the equation by 4= y=-2x/4 + 2

Somebody solve this plzz

Answers

Answer:

Not a function

Step-by-step explanation:

If you use the line/ pencil test ***I think that's what it's called...

you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.  

Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?

Answers

Answer:

[tex]A_4[/tex]

Step-by-step explanation:

The cost of the e-readers and the subscription of their services are

[tex]A_1(t)=5t+350[/tex]

[tex]A_2(t)=10t+250[/tex]

[tex]A_3(t)=499[/tex]

[tex]A_4(t)=15t+179[/tex]

The functions are of the form

[tex]A(t)=mt+c[/tex]

Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.

So, 15 dollars is the highest subscription cost which is of the 4th e-reader.

Hence [tex]A_4[/tex] has the highest subscription cost.

There are eight slices in a pizza. If Jamal eats two slices, what is the ratio of the number of slices remaining to the number Jamal has eaten

Answers

Answer:

6:2

Step-by-step explanation:

If Jamal ate 2 slices, that means there are 6 slices left, and now make a ratio with the slices he ate with the ones remaining. Hope this helps

Answer:

6/2 or 3/1

Step-by-step explanation:

If Jamal ate 2 slices, then there must be 6 remaining.

That is the numerator in our ratio.

We know that Jamal has eaten 2 slices, so our denominator is 2.

We get:

6/2 or 3/1

Hope this helps! :)

ten divided by three

Answers

Answer:

3.333333

Step-by-step explanation:

thats what it is my guy

2
7 pencils cost £4.55.
How much do 3 pencils cost?

Answers

7/4.55 1.538 (i’m rounding that to 1.54) take 1.54 x3 and that gives you your answer ( 4.615 round it to 4.62)

Answer:

1.95

Step-by-step explanation:

4.55/7=65

65 cents for 1

65x3=1.95

Brainliest?

Yay someone help me I’ll mark brainlest if ya as ser first!

Answers

Answer:

Least to greatest is 81/10, 8 1/9, 8.115 and 9.95

Step-by-step explanation:

find the value of x and y

Answers

x = 60y = 60

x° + 2y° = 180°   ⇒   2y° = 180° - x°

x° = 60°   {three sides of the same lengh, means three angles=60°}

2y° = 180° - 60°

2y° = 120°

y° = 60°

I NEED HEP ASAP!?!! , someone pls help me.

Answers

Answer:

srry this aint no 5 point question Ma'am (absolutely no hardfeelings :D)

Step-by-step explanation:

Simplify: (6-91)-(2-31)​

Answers

Answer:

-56

Step-by-step explanation:

6-91=

-85

2-31=

-29

-85--29=

-56

Answer:

-56

Step-by-step explanation:

The perimeter of a rectangle is 100 and its length is x. What expression represents the width of the
rectangle?

Answers

100*x I think I’m sorry that’s a poor answer I have done this in years

ABCDE is a regular pentagon
Please help I’ll give brainliest

Answers

Answer:

108 degrees

36 degrees

72 degrees

trapezoid

Step-by-step explanation:

Expand these expressions.
−(−x − 7)​

Answers

+7 should be the answer to that

It is an unlike term

Step-by-step explanation:

hope this helps you

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