Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and
nature of all roots for this function?

A) f(x) has two real roots and one imaginary root.


B) f(x) has three real roots.


C) f(x) has five real roots.


D) f(x) has three real roots and two imaginary roots.

Answers

Answer 1

Answer:

D.

Step-by-step explanation:

Its a fifth degree function so it will have 5 roots.

One of the 3 roots is complex ( imaginary):-  4 + i so there must be another root value 4 - i because these roots always occur as conjugate pairs.

The fifth root must be real because you cant have just one imaginary root.


Related Questions

What is the surface area and volume of an rectangular prism with sides 6

Answers

The surface area and volume of the rectangular prism are equal to 216 square units and 216 cubic units, respectively.

What are the surface area and the volume of a rectangular prism?

Despite the brevity of the statement, we can find the answer by considering the rectangular prism as a cube, that is, every side has a measure of 6 units. The volume is equal to the product of the base area and the height of the prism and the surface area is equal to the sum of the areas of the six faces:

V = 6³

V = 216

A = 6 · 6²

A = 6³

A = 216

The surface area and volume of the rectangular prism are equal to 216 square units and 216 cubic units, respectively.

To learn more on prisms: https://brainly.com/question/12649592

#SPJ1

Please some-one help!
Given: m∠JNM =4x+6m ∠KNL = 7x−21
What is the m∠JNM ?

Answers

Answer:

x = 5

Step-by-step explanation:

If it's a number by itself then that's right cuz JNM and KNL is equal, so u do 4x + 6 = 7x - 21. When u do that, u get x = 5.

what is 21% of 12? explained

Answers

Answer: 2.52

Step-by-step explanation:

12 = 100% (1). x = 21% (2).

So 21% of 12 is 2.52%

HELP I am really confused and this is an easy question

Answers

Answer:

It is corresponding Angle

Step-by-step explanation:

Plz mark brainliest

I need help please thank you

Answers

X = -4
double check by replacing x with -4

Answer:

The correct answer is x = -4

Step-by-step explanation:

Step 1: 8x + 1 = -31 <----- This is the original equation.

Step 2: 8x + 1 - 1 = -31 - 1 <----- Subtract 1 from both sides.

Step 3: 8x = -32 <----- Simplify

Step 4: 8x/8 = -32/8

             x = -4

Hope this helps! :D

how far apart were her highest and lowest scores​

Answers

Answer:

effort and studying were her highest and lowest scores because studying look for the book many get complete

If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25

Answers

Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

Write the addition modeled on the number line.

Answers

Hahahahahahahahahahahahah

select all which are equivalent to:
5^1/3 x 25^1/3

Answers

Note:

You missed adding the answer options.

But, I am solving the given expression to determine its equivalent so that you could get an idea and could easily determine all the options which would be equivalent to the result we would get.

Answer:

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

Step-by-step explanation:

Given the expression

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m[/tex]

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}=\left(5\times \:25\right)^{\frac{1}{3}}[/tex]

               [tex]=125^{\frac{1}{3}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:125=5^3[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}=5^{3\times \frac{1}{3}}=5[/tex]

Thus,

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

manuel has $15 to spend.on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchased and y represents the number of songs purchased, write a linear equation that represents the combination of apps and songs manuel can purchase.

Answers

Answer:

2x + y = 15

Step-by-step explanation:

Total amount with Manuel = $15

Cost of apps = $2

Cost of song = $1

x = number of apps purchased

y = number of songs purchased

Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel

2*x + 1*y = 15

2x + y = 15

The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15

Please helppppp :)))

Answers

Answer:

jrbfbfbfbxbcvdvdgv

Step-by-step explanation:

bvdbdhdhwofftreytugete

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

label sides adjacent h and o

sin(30) times 12 = 6 = 10

What value of x is in the solution set of 2x-3 > 11 - 5x?
OOOO
4
Mark this and return
Save and Exit
Next
Submit

Answers

2x-3 > 11 - 5x
2x + 5x > 11 + 3
7x > 14
x > 14/7
x > 2

Answer:

x>2

Step-by-step explanation:

2x -3>11-5x

=2x+5x>11+3

=7x>14

=7x÷7>14÷7

=x>2

expand the expression 7(x-2)

Answers

Answer: 7x-14

Step-by-step explanation:

7(x-2)

7x-14

ASAP PLEASE HELP WILL MARK AS BRAINLIST HELP

Answers

Answer:

38 degrees

Step-by-step explanation:

corresponding angles are equal

Solve the linear system using multiplication Elimination.

4х + Зу = 8
X - 2y = 13

Answers

X=5, y=-4
(5,-4)
do you need the work?

Which statement BEST descrlbes an organ?
O the process in which tissues combine
O the basic unit of all living things; a building block
Oa group of tissues joined together to perform a specific function
O the smallest unit in a system that can function on its own

Answers

Answer:

The third one. A group of tissues joined together to perform a specific function.

Answer:

C) A group of tissues joined together to perform a specific function

Step-by-step explanation:

Each organ in your body has a job, each organ is designed to do one special thing to keep your body working and in shape, as the heart is an organ that is meant to pump blood into our bodies, and every organ has tissue, as the brain tissue helps keep it intact.

Hope this helps!

i require help (why this stuff so hard)

Answers

Answer:

x should be -3

Step-by-step explanation:

f(x) = 5/3x + 10

f(-3) = (5*-3)/3 + 10

f(-3) = -15/3 + 10

f(-3) = -5 + 10

f(-3) = 5

g(x) = -2x - 1

g(-3) = -2(-3) - 1

Negatives cancel out

g(-3) = 2(3) - 1

g(-3) = 6 - 1

g(-3) = 5

5 is equal to 5, so x should be -3 in this case.

Find the value of the variable and the measure of each labeled angle.
x=
(x+7)=
(5x-49)=

Answers

Answer:

21°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Vertical Angles - Angles that are directly opposite of each other are congruent

Step-by-step explanation:

Step 1: Set Up Equation

(x + 7)° = (5x - 49)°

Step 2: Solve for x

Subtract x on both sides:                   7 = 4x - 49Add 49 on both sides:                        56 = 4xDivide 4 on both sides:                      14 = xRewrite:                                               x = 14

Step 3: Find angle measure

Define:                    (x + 7)°Substitute in x:       (14 + 7)°Add:                        21°

Can someone help me with all of these please if you could please answer like this

1) Answer
2) Answer
Etc....

Answers

Answer:

1. corresponding angles

2. alternate exterior

3. corresponding

4. consecutive interior

5. alternate interior

6. alternate exterior

7. alternate interior

8. alternate angles

9. corresponding angles

10. alternate angles

11. 110

12. 84

13. 80

14. 111

15. 125

16. 47

17. 127

18.67

19. x=4

20.x=7

Mia lives on a farm and has 21 bulls and 21 cows. What percentage of the bovine population is bulls? Please explain how to get your answer as simple as possible! Thank you :)

Answers

Answer:

50%

Step-by-step explanation:

To find the percentage of something, you need to put the thing over the total as a fraction, then multiply that fraction by 100%.

Percentage of the bulls = [tex]\frac{21}{21+21}[/tex] × 100%

                                       = [tex]\frac{21}{42}[/tex] × 100%

                                       = 50%

Rewrite 3x - 2y = 18 in slope-intercept form, identify the
slope and y-intercept, then graph it Show your work.

Answers

y=3/2x-9 Slope 3/2 y-intercept (0,-9). When asked to show work put “Rise/Run method” and for the graphing use Deimos graphing calculator. Just put in y=3/2x-9.

Lydia drove 216 miles and used 6 gallons of gasoline on a recent trip. Which of the following represents the unit rate of gasoline used on this trip?


a3 miles per gallon

b.3 miles per gallon

c.36 miles per gallon

d.36 miles per gallon

e.210 miles per gallon

f.210 miles per gallon

g.222 miles per gallon

Answers

Answer:

36 miles per gallon is your answer hoped this helped.

Step-by-step explanation:

Mark me as brainliest!

pls help me!!
Which two equations are equivalent?
y= 1/2x+3
y=x+6
2y=x+6

Answers

Answer:

first and third

Step-by-step explanation:

Consider

y = [tex]\frac{1}{2}[/tex] x + 3 ( multiply through by 2 )

2y = x + 6 ← third equation

Answer:

the first and last equation

Step-by-step explanation:

all you need is in the photo ​

Answers

Answer:

It is the second one (It's decreasing by five feet per hour.)

Step-by-step explanation:

Thanks for the points!

Stay safe and healthy!

Happy holiday seasons!

Answer:

the water level decreases by 5 feet per hour

Step-by-step explanation:

firstly the bar is going downwards, hence ,making a loss, decrease etc

so 1st and 3rd are out

initially we had 30ft of water

after

1 hr = 25 ft

- 5 ft decreased

2hrs = 20 ft

- 5 ft decreased again from the previous time checked

3hrs = 15 ft

- 5 ft decreased 1 hr ago

hence the water level decreases by 5 feet per hour

Match each positive or negative value with the situation that describes it

Answers

Answer:

1.) -10

2.) 10

3.) -27

4.) 27

5.) -8

6.) 8

Samuel buys office supplies for his home business. The office supplies
cost $175.79 before taxes. The sales tax rate is 8.25%. What is the total
cost Samuel will pay after Tax? *

Answers

Answer:

190.29

Step-by-step explanation

8.25% of $175.79 is $14.50, so adding $175.79 and $14.50 is $190.29

Plzzzzzzzz answer this question!!!!:

Answers

Answer:

I want to say 12:50 pm but please tell me if I'm wrong

Lesson 1 ends at 8:45 + 1:00 so 9:45.

Lesson 2 ends at 9:45 + 1:00 so 10:45

Then there is the break so 10:45 + 0:15

Lesson 3 starts at 11:00

Lesson 3 ends at 11:00 + 1:00 so 12:00

Lesson 4 ends at 12:00 + 1:00 so 13:00

Skylar works at a car dealership and earns a commission
on every car she sells. Monday she sold a car for
$14,500 and earned a commission of $942.50. What is
Skylar's commission rate for each car she sells?

Answers

Answer: 6.5%

Step-by-step explanation:

rate of commission, r is :

942.50/14500=0.065

0.065*100=6.5

questions 18 and 20, any help?

Answers

A polygon with 12 sides is called a/an
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