A quartic polynomial P(x) has rational coefficients. If 2 − i and-√5 are roots of P(x) = 0, what are the other 2 roots?

Answers

Answer 1

Answer:

2 + i and + √5

Step-by-step explanation:

Since P(x) is a quartic equation, it has 4 roots.

Since 2 - i and -√5 are two of its roots, then its conjugate pairs of 2 + i and + √5 are its other two roots.

So, its other two roots are 2 + i and + √5


Related Questions

I need help on this. Can someone explain it?

Answers

Answer:

noooooooooooooooooooooo

I’ve attached my work....
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond

Please help me I want to finish my math Homework!!

Answers

Answer: X<-10/7

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable

Can somone please help me and explain very much appreciated and this is 7th grade math btw

Answers

Answer:

4 8.95h + 10 < 115

Step-by-step explanation:

Answer: 4) 8.95h + 10 < 115

Step-by-step explanation:

We know the inequality will be equal to less than 115 since it states that the order was less than $115.

The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115

8.95h + 10 < 115

(h in the given equation is the amount of shin guards)

Find the dimensions of the square or circle.

Answers

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

Simplify the expression.

7.5(–5.9)


–44.25


14.25


–11.21


44.25

Answers

Answer:

[tex] - 44.25[/tex]

Step-by-step explanation:

All i did was put it in a calculator

Answer:

hi the answer is :

-44.25

math easy question?
pls help

Answers

step 2

because she should substitute the negative sign to 6
The correct answer should be step 2, B is correct choice (step 2)

Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.

A. The rate of change is 1/2

B. The rate of change is 2

C. The rate of change is constant

D. The rate of change is increasing

Answers

The answer is going to be C

Evaluate each function.
f(t) = t– 5t; Find f(t - 2)

Answers

Answer: -4t+8 is your answer.

also can you make me the brainiest please

Thank You

-Parshv

Please I beg help show work

A 94
B 1
C 47
D 3

Answers

Answer:

x = 3

Step-by-step explanation:

15x + 2 = 9x + 20

Now solve for x

Subtract 2 from each side

15x = 9x + 18

Subtract 9x from each side

6x = 18

Divide each side by 6

x = 3

Answer: x=3

Step-by-step explanation:

When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.

9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.

9x+20= 15x+2. Subtract 9x from both sides.

20= 6x+2. Subtract 2 from both sides.

18=6x. Divide both sides by 6.

3=x

Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?​

Answers

Answer:

[tex]21\ \text{square units}[/tex]

Step-by-step explanation:

The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].

Area of a triangle is given by

[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]

[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]

[tex]\Rightarrow A=21\ \text{square units}[/tex]

The area of the given triangle is [tex]21\ \text{square units}[/tex].

what is the mixed number: 1 and 3/4 as a percent​

Answers

Answer:

175%

Step-by-step explanation:

1 would be 100%

3/4 would be 75%

100%+75%=175%

Triangle ABC is reflected across line m to form triangle PRS.

B

R

A

s

Which statement must be true?

O The length of AB = the length of SR.

O The length of BC = the length of RP.

0 m 4 = m/s

OmZB =mZR

Answers

Answer: D

Step-by-step explanation:

Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.

3, 10, 6, 9, 7, 4

Answers

Answer:The mean absolute deviation (MAD) of the data set=2.17

Step-by-step explanation:

The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each  data value in a data set.

Given the data set

3, 10, 6, 9, 7, 4

First find the mean

Mean  =Sum of data set / Number of data set

=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5

Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean

Value  distance from mean

3,        6.5 -3             3.5

10       6.5 -10           3.5

6,       6.5-6             0.5

9,        6.5 -9            2.5

7,         6.5 -7            0.5

4            6.5 -4         2. 5

Last step is to find the mean of the distances which is

Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) /  6

=13/6

=2.166666 rounded up to 2.17

Someone help please

Answers

Answer:

A=(b^2)h/2

Step-by-step explanation:

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?

Answers

Answer:

The amount Lilian needs to invest is $5,160

Step-by-step explanation:

The parameters of the amount Lilian is going to invest in an account are;

The interest rate the account pays = 5.7%

The final amount the investment is expected to reach after the given time period = $7,600

The number of years of the investment = 7 years

The formula for compound interest is presented as follows;

[tex]A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]

Where;

A = The final amount = $7,600

P = The amount Lilian is to invest

r = The interest rate = 5.7% = 0.057

n = The number of times the interest is applied per time period = 1

t = The number of period that passes = 7 (years)

Therefore, we get;

[tex]7,600 = P \cdot \left(1 + 0.057 \right)^{7}[/tex]

∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754

The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160

9. Which
of the following is a proper fraction?
A 12/10
B. 5/4
C.7/10
D.10 1/9​

Answers

Answer:

c

Step-by-step explanation:

because in a proper fraction the numerator is less than the denominator

plzzz help with this

Answers

The volume of the cylinder is 1,286.1.

I need help with these questions (see image). Please show workings.

Answers

Answer:

Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.

As per above two statements we have:

y = 2*58° = 116°

and

z = 90°/2 = 45°

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral

The Weston family spends a maximum of
$50.00 per month on entertainment. Write and
graph an inequality to represent this.

Answers

Answer:

y < 50x

Step-by-step explanation:

In order to graph this inequality, you first need to identify the important word(s) here to find the inequality sign; in this case, it would be "maximum of $50" a month. Since it's a maximum of $50 a month (or less than $50 a month), you can write it as:

Where m is months and c is total cost, c < 50m

If you need to graph this, you can write it as y < 50x. The cost is y since it's the output, and months is x since that's the input.

I’ll give brainliest!! Plz answer!
Look at the image for the question

Answers

HENCE , ANSWER IS,8/9

mark me as brainlist

Find the area of a parallelogram with these dimensions.

base = 6 meters

height = 2.25 meters

Answers

Answer:

13.5

Step-by-step explanation:

math i did it somehow

The answer would be 13.5 after you multiply both of them

The perimeter of a square patio is (8x - 28). What is the length of one side?

Answers

Answer:

Length is 7, Permimeter is 28

Step-by-step explanation:

Perimeter=4×side

(8x-28)=4×x [let length be x]

8x-28=4x

8x-4x=28

4x=28

x=28÷4

x=7

Length = x = 7

Perimeter=(8x-28)

=(7×8)-28

=56-28

=28

Help me please ????????

Answers

Answer:

300

Step-by-step explanation:

YOU CAN TAKE WHATEVER THE ANSWER AND L x W x H to get that right answer

Answer:

1700 cm squared :)

Step-by-step explanation:

PLSSS HELP GEOMETRY!!! LOOK AT IMAGE!

Answers

Answer:JI=16, JH=15, <W=37, <J=114, <I= 29

Step-by-step explanation:

When naming congruent triangles, the corresponding points are named in order from one triangle to another.

Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.

JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.

To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.

37+114+<I= 180. Combine like terms.

151+<I=180. Subtract 151 from both sides.

<I= 29

someone please help me I have 10 minutes to submit it!!​

Answers

Answer:

x = 5 or x = -5

Step-by-step explanation:

| a b |

| c d |

det = ad - bc

| x 4 |

| 3 x |

det = x * x - 4 * 3 = x^2 - 12

x^2 - 12 = 13

x^2 = 25

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or x = -5

Marie donated 36% of her comic books to a
school. If she donated 135 comic books, how
many did she own before her donation?

Answers

Answer: 375

Step-by-step explanation:

Let x equal the number of comic books before her donation.

x × 0.36 = 135

135/0.36 = 375

help please i’ll give points !!

Answers

Answer: C :)

Step-by-step explanation:

It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.

Use the distributive property to write an expression that is equivalent to 8(a + 4).
?

Answers

the answer to this expression is 8a+32

The ___________________________ of an object is how heavy the object is

Answers

Answer:

Mass

Step-by-step explanation:

Answer:

the answer is weight.

Step-by-step explanation:

hope this helps!! please mark brainliest.

The product of a binomial and a trinomial is x3+3x2-x+2x2+6x-2 Which expression is equivalent to this
product after it has been fully simplified?

Answers

The answer is the first one.
Explanation:
X^3 stays the same because there are no other cubed numbers in the problem
Next you combine the x^2s
The x^2s are +3x^2 and +2x^2
Since they are both positive, you add them: 3x^2 + 2x^2 = 5x^2
Next you do the x values
-x and +6x, also known as 6x - x = 5x
Lastly, you just add in the -2 and get:
X^3 + 5x^2 + 5x - 2
Other Questions
Over what ideas did antislavery reformers disagree? Which taxon group is the largest? *A. DomainB. SpeciesC. PhylumD. Kingdom carmen ha visto la television durante cada dia de la semana pasada y se registraron los siguientes numeros de horas 3,2,3,3,2,6 y 3 en promedio cuantas horas al dia esta Carmen frente al televisor? Melosis results in the formation ofA:2 genetically similar cellsB:2 genetically different cellsC:4 genetically similar cellsD:4 genetically different cells Can someone help me and show how to do it Which of the following was a main cause of the civil war? A. Foreign InvasionB. Immigration C. Taxes D. Slavery In triangle UVW, u = 20, v = 47. and w = 60. To find m W, which law would you use? Laws of Sines or Laws of Cosines? and why? What is Thomas Edison credited with inventing or improving? Select the two correct answers. A. the typewriter B. the vacuum cleaner C. the flush toilet D. the light bulb E. the phonograph What figure has one endpoint and continues without end on one direction? Group of answer choicesA. lineB. line segmentC. rayD. point at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months. In which atmospheric layer is the ozone layer? O stratosphere o thermosphere O mesosphere troposphere Which sentence uses the active voice?A. Fifteen quilts were made to help raise money for the charity.B. The company bought 400 rolls of white paper for its factory.C. Three nickels were found at the bottom of the swimming pool.D. Sixty new employees were hired by the company to bake bread. PLEASE HELP ASAP!!!! Which statement best describes the US economy during the late 1940s and 1950s?The economy was very weak during the postwar era.The economy was very strong during the postwar era.The economy remained even during the postwar era.The economy wildly fluctuated during the postwar era. Please help my daughter has been stuck on this for the pass hour now 2. Your teacher instructed you to measure the salinity of brine you will use incuring fish. Which of these will you do?a.Recall and master the procedure in using a salinometerb. Review and master the procedure in using the thermometerc. Review the procedure in using a psychrometerd. Review the procedure in using a refractometer 4. Which organ system in humans is most directly involved in thetransport of oxygen?excretorynervouscirculatoryO digestive Find the surface area of the following triangular prism.surface area = ___ ft2 What are the main differences between the manual, oscillate and pulse functions? Select two sentences that contain no errors in spelling.The elementary school decided to hold a ceremony to comemorate its fiftieth anniversary.Though the team members were happy with the victory, they knew they would face retaliation in the rematch.Rodney's mom is letting him attend the concert, but she stipulated that he first finish all his homework and help with the yard work.Will was exultent that Molly decided to follow through with their plans for dinner; he had made reservations a week ago and was lookingforward to trying a new restaurant.Marissa and Kyle were in quandery as to who would give their mom the birthday flowers; Marissa thought Kyle should because he was theone who bought them, but Kyle felt Marissa should because the flowers were her idea. Two of the main functions of the atmosphere is to sustain life: *Select 2It blocks ultraviolet radiationIt blocks moonlightIt blocks small meteoritesReflects all the sunlight