f(x) = x ^ 4 - 6x ^ 3 + 8x ^ 2 - 21 ^ 2 the possible rational zeros

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]

we conclude that it has two or four real roots.


Related Questions

Tenemos 2000 baldosascon las que nos proponrmos embaldosar dos habitaciones.Para la 1ª gastamos 3/5 de ellas,y con la 2ª,3/4de las que qudaron.¿Cuántas utilizamos para cada habitación y cuántas sobraron?

Answers

Answer:

En la primera habitación son usadas 1200 baldosas.

En la segunda habitación son usadas 600 baldosas.

Sobraron 200 baldosas.

Step-by-step explanation:

Tienes 2000 baldosas, con las que se propone embaldosar dos habitaciones.

Para la primera habitación se han gastado [tex]\frac{3}{5}[/tex] de las baldosas. Esto se expresa como:

[tex]\frac{3}{5}*2000[/tex]

Para multiplicar una fracción por un número entero, el número entero n se puede escribir como la fracción [tex]\frac{n}{1}[/tex]. Luego se multiplica los numeradores y denominadores. En este caso:

[tex]\frac{3}{5}*2000=\frac{3}{5}*\frac{2000}{1} =\frac{3*2000}{5*1} = \frac{6000}{5}[/tex]

Para reducir la fraccion, divide 40 entre 10

[tex]\frac{6000}{5} =[/tex] 6000 ÷5= 1200

Entonces en la primera habitación son usadas 1200 baldosas. Por lo que las que quedan se calcula como:

2000 - 1200= 800 baldosas

De esta cantidad de baldosas que quedaron, [tex]\frac{3}{4}[/tex] son usadas para embaldosar la segunda habitación.  Esto se expresa como:

[tex]\frac{3}{4}*800[/tex]

Resolviendo de igual manera que en el caso de la primer habitación se obtiene:

[tex]\frac{3}{4}*800=\frac{3}{4}*\frac{800}{1} =\frac{3*800}{4*1} =\frac{2400}{4}[/tex]= 2400 ÷ 4= 600

Entonces en la segunda habitación son usadas 600 baldosas. Por lo que, teniendo en cuenta que se tenían 800 baldosas que quedaron de la primera habitación, las baldosas restantes se calculan como:

800 - 600= 200 baldosas

Sobraron 200 baldosas.

Question and answers are in the picture

Answers

Answer:

C

Step-by-step explanation:

A x 4pi=4piA = C^2

square root both sides and here you go

hope that answers your question

Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x

Answers

a Binomial is 2 terms

so the solution is

A

B

E

Answer:

A, B, and E

Step-by-step explanation:

Binomials are equations that consist of two terms.

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

The numbers are blurry on the graph

Please help, I will give brainliest to whoever helps!

Answers

Answer: 0 solutions, II only, 1 solution

Step-by-step explanation:

When the first equation is factored, there are no real solutions that can be found. b^2 - 4ac has to be greater than 0 to have two solutions. x^2 + 2x + 1 is (x + 1) ^ 2, so there is one solution.

what is 2x+4
dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Can you guys help me with this? ​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles.

Here we apply the concept of the Adjacent angles and linear pair of the angles.

1.) Angle 1 = 90° and Angle 2 = 60°

2.) Angle 4 = 90° and Angle 3 = 70°

3.) Angle 6 = 90° and Angle 5 = 65°

Usinf the scatter plot, select all the true statements

Answers

Answer:

1 and 5

Step-by-step explanation:

work out the height of a triangle with base b= 7.7mm and area a=164.78mm2

Answers

Answer:

21.4 mm

Step-by-step explanation:

area ÷ base = height

164.78 mm^2 ÷ 7.7 mm

21.4 mm

Check:

base • height = area

7.7 mm • 21.4 mm = 164.78 mm^2

The height of the Triangle is 47.08 mm

What is a Triangle ?

A triangle is a polygon with three sides , three vertices and three angles.

It is given that

Area of the Triangle = 164.78 sq. mm

Base of the Triangle = 7.7 mm

Area of the Triangle = (1/2) * base * height

164.78 = (1/2) * 7.7 * Height

Height = 164.78 * 2 /7.7

Height = 47.08 mm

Therefore the height of the Triangle is 47.08 mm

To know more about Triangle

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17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I

Answers

D ststjdkgdgk dhdgkdlydky

Please help, I need this answer ASAP

Answers

Answer: x= (2/3,0) y=(0,2)

X=(4,0) y=(0,8)

X=(-3,0) y=(0,-3)

Step-by-step explanation:

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees . The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse ?

Answers

≈ 43.8 , lmk if u need like an explanation or something

When rolling a die, determine the probability of rolling a number greater than 4.
a. Which outcome or outcomes make up the event of rolling a number greater than 4?

Answers

Answer:

The probability that the result of one die roll is greater than 4 is the number of events in set A divided by the total number of possible outcomes (the size of the sample space S) and so the probability of getting a number greater than 4 on one die roll is  2/6  which reduces to  1/3 .

Step-by-step explanation:

Assuming you mean “greater”, rather than “greater than or equal to”, the “successful” rolls are 5 and 6. That’s two out of six choices, so the probability is 2/6 or 1/3.

It gets more interesting when you want the total of several dice to be above a certain number, or to get that number on M of N dice rolls.

But the two basic probability formulas work - 1) add up all possible successful results and all possible results, then divide the number of successes into the total. 2) Multiply all the failure probabilities together, then subtract the result from 1 (100%) to get the success probability. With these two rules, you can solve most simple probability problems.

Playing D&D, and want to know the chance of scoring a 17 or 18 total when rolling 3 dice? You can only get an 18 one way - 6 6 6. You can get a 17 three ways - 6 6 5, 6 5 6, or 5 6 6. So that’s 4 chances out of 6 x 6 x 6 possibilities, which is 216. That’s about 1.85%. With quite a bit more work, you can discover the chance of getting a 17 or better when rolling 4 dice and adding the 3 highest.

A cylinder with radius 333 units is shown below. Its volume is 86 cubic units.

Find the height of the cylinder.

Use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.

Answers

Answer:

3.04 units

Step-by-step explanation:

h = volume / (3.14 x r^2)

86 / (3.14 x 3^3) = 3.04 units

Which function describes the vertical shift up 2 units and left 2 units to the original function: f(x) = ex

Answers

Answer:

g(x) = e^(x + 2) + 2

Step-by-step explanation:

First, let's describe the shifts.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, then the shift is upwards.

If N is negative, then the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x - N)

If N is positive, the translation is to the right

If N is negative, the translation is to the left.

Now let's solve the question.

f(x) = e^x

First, we have a vertical shift up of 2 units, then:

g(x) = f(x) + 2

Now we have a shift to the left of 2 units:

g(x) = f(x - (-2)) + 2

g(x) = f(x + 2) + 2

Then:

g(x) = e^(x + 2) + 2

Which statements is true about figure DEF?

(I NEED HELP PLEASE)
ITS DUE TODAY

Answers

Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

El diametro de rueda de esta bicicleta mide 80 cm. Si ha dado 10.000 vueltas, ¿cuantos kilimetros ha recorrido?

Answers

Answer:

Ha recorrido 8 km.

Step-by-step explanation:

Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:

80cm*10.000=80.000 cm

Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:

1 km    →    100.000 cm

 x       ←    800.000 cm

x=(800.000*1)/100.000

x=8 km

De acuerdo a esto, la respuesta es que ha recorrido 8 km.

What is the vertex of y=-5(x+3)^2+5

Answers

Answer:

(-3,5)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex.

mr. Smith took a job through an employment agency the job pay $66000 per year he must pay a fee to the employment agency the fee is 15% of his first four weeks pay how much money must Mr Smith pay the agency to the nearest cent​

Answers

Answer:

761.54$

Step-by-step explanation:

Step-by-step explanation:

the answer is £761.54

if I am right plz give brainliest

5. To prove that triangle PQR is isosceles, a student began by stating that
since Q is on the segment perpendicular to PR, Q is equidistant from the
endpoints of PR. What is the error in the student's reasoning ?

Answers

the triangle could only be proven isosceles if it was proven or given that SP = SR or thatangles PQS = RQS otherwise the reasoning is incomplete

PLEASE ANSWER ILL TRY AND MARK BRAINLIEST PLEASE AND THANK YOU

Answers

It’s this

Sorry if I’m wrong

Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?

Answers

1) sometimes
2)always
3)never

Is yiur answer

At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms

Answers

Answer:

6 sessions

Step-by-step explanation:

s= session

silver gym: 30 +  45s

session 1: 75

session 2: 120

session 3: 165

session 4: 210

session 5: 255

session 6: 300

fit factor: 90+ 35s

session 1: 125

session 2 : 160

session 3: 195

session 4: 230

session 5: 265

session 6: 300

14. If angle =120°, what is its value in radians?
ө
ө

Answers

Answer:

[tex]120 \times \pi \div 180[/tex]

=2.094

For every $3 Marisa spends, Andie spends $5. Andie spends $120 more than Marisa does. How many dollars does Andie spend?

Answers

Answer:

Andie spends $300   (Marisa spends 180)

Step-by-step explanation:

X= What Marisa spends

3------------5

X----------- x+120

CROSS MULTIPLICATION

5X = 3X+ 360

2X = 360

X = 180

     180+120 = 300

Andie spend $300.

What is arithmetic operations?

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These fundamental numerical activities (+, - , ×, and ÷) we use in our day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.

Given Marisa spend $3 and same time Andie spend $5,

let when Marisa spend $x,

spend of Andie = x + 120

spend of Marisa and Andie are in ratio and equal

3 / 5 = x/(x + 120)

3(x + 120) = 5x

3x + 360 = 5x

2x = 360

x = 180

spend of Andie = x + 120 = 180 + 120 = $300

Hence the spend is $300.

Learn more about arithmetic operations;

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Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?

Answers

Answer:

Ryan is a more consistent performer

Step-by-step explanation:

The complete question is

HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.

299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.

7.50

B.

7.00

C.

7.25

D.

6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

Solution

First we will find the mean deviation of Duke is 7.5

The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.

Hence, Ryan has been more consistent performer

The swimming pool shown is a right prism with concave hexagonal bases.... pls help

Answers

3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

Two numbers have these properties Both numbers are greater than 8 The HCF is 8 The LCM is 80 Find the two numbers

Answers

Answer:

10 and 64.

16 and 40

Step-by-step explanation:

The product of the two numbers is equal to the product of LCM and HCF

Number 1* Number 2= LCM * HCF

Number 1* Number 2= 8*80

Number 1* Number 2= 640

Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64

so the two numbers will be 10 and 64.

Similalrly the two numbers can also be 16 and 40 and like wise.

Any number greater than 8 dividing 640 will give the second number also.

Zac collected 4 pounds of aluminum cans. Brittney collected 1 1/3 times as many pounds as Zac. How many pounds of aluminum cans did Brittney collect? *

Answers

Answer:

5 1/3

Step-by-step explanation:

You turn 1 1/3 into an improper fraction by multiplying 3 time 1 plus 4 and you get 4/3. you multiply 4/1 time 4/3 and get 16/3. 16/3 divided by 3 = 5 with a remainder of 1 and get 5 1/3

The triangles below are similar.

Answers

Answer:

Step-by-step explanation:

Answer:

ΔFGH ~ ΔKLJ

Step-by-step explanation:

Determine the corresponding sides by the same opposite angles.

Opposite sides to 24° angle are FG and KL.

Correct expression is A:

ΔFGH ~ ΔKLJ
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