Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero.

Answers

Answer 1

Answer:

[tex]x_4 = -5 + i[/tex]

Step-by-step explanation:

See comment for complete question.

From the complete question, we have:

[tex]Zeros \to -2, -6, -5-i[/tex]

Required

Determine the other zero

The zeros can be represented as:

[tex]x_1 = -2[/tex]

[tex]x_2 = -6[/tex]

[tex]x_3 = -5-i[/tex]

Considering the 3rd zero, which is a complex number.

If a polynomial has a complex number as one of its zeros, then its conjugate pair is the corresponding zero

A conjugate pair is given as:

[tex]a + bi[/tex] and [tex]a - bi[/tex]

For [tex]x_3 = -5-i[/tex]

The conjugate pair is:

[tex]x_4 = -5 + i[/tex]

Hence, the other zero is: [tex]-5 + i[/tex]


Related Questions

simplify -1 1/2 divided by 1 2/3

Answers

Answer:

-5/2

Step-by-step explanation:

Or -2.5

If you divide a negative by a positive it becomes a negative.

Hope this helps any!

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which system of linear inequalities is represented by the graph?

y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4

Answers

Answer:

(C) : y[tex]\geq[/tex] x - 2 and x + 2y < 4

Step-by-step explanation:

Answer:

(C) : y ≥ x - 2 and x + 2y < 4

Edge Unit Test 2023

Can someone pls help me out

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

This is Question no picture, soo iam work in question before^^

Step by step :

x² = 12² + 10²

x² = 144 + 100

x² = 244

x = 15,6m

Jose needs 6.2 lb of organic blueberries to make smoothies. Organic blueberries are on sale for $2.85 per pound. Jose estimates that he will need $12 to buy the 6.2 lb of blueberries. What is Jose’s error?
1. Jose did not make an error. His estimate of $12 is correct.
2. Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.
3. Jose incorrectly rounded 6.2 up to 7.
4. Jose incorrectly multiplied 2 and 7. The estimate should be $14.

Answers

Answer:

B

Step-by-step explanation:

why did the Europeans come to north america

Answers

Answer:

They wanted to spread Christianity. They also hoped to gain new lands and wealth for their countries. Finally, you read about the valuable cargo of New World plants that explorers brought back to Europe.

What is the slope of a line perpendicular to the line y= -42 + 16
a. 1/4
b. -4
c. 4
d. -1/4

Answers

I think you might’ve wrote the problem wrong and meant y = -4x + 16. If that’s the problem than the slope of a line perpendicular to it should be 1/4, since it’s the opposite reciprocal.

find the value of k so that the two given lines are parallel. -5x+kx=4 2y-9x=11

Answers

The value of k so that the two given lines are parallel is; k = 22.5

First, the correct question is;

-5y+ kx = 4 and

2y-9x=11

In line segment geometry;

The slopes of two or more parallel lines are equal

First, we must determine the slope of the lines by rewriting the equations to resemble the equation of a line in the slope-intercept form; y = mx + c

Therefore, we have;

y = (k/5)x - 4/5.................eqn(1)

and y = (9/2)x + 11/2....,........eqn(2)

Evidently, the slope of the line in equation 2 is; 9/2

.

And since the slope of parallel lines are equal;

k/5 = 9/2

By cross product;

2k = 45

k = 22.5

Read more:

https://brainly.com/question/12557573

Find two consecutive numbers whose squares differ by 11.
Please help! I will give you brainliest​

Answers

Answer:

6 and 5

Step-by-step explanation:

6*6 -5*5

=36-25

=11

b. You can determine how many times greater the range of one internet company is than the other by writing their ranges as a ratio that compares the range of Winnies wireless access devices to the range of Ivan’s wireless access devices.

Answers

Answer:

1.32 x 104: 2.64 x 103

1.32 x 10*4 1.32

------------ = ----- x 10*4-3 = 0.5 x 10 = 5

2.64 x 10*3 2.64

Step-by-step explanation:

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?

Plz show work and i will be so grateful

Answers

Answer:

35 hours during week pay: 498.75

2.50 more on weekends

Lets us find unit rate

498.75/35= 14.25

14.25 dollars on weekday add 2.50 and...

16.75 dollars is pay per hour on weekends

16.75*6= 100.5

100.5+498.75=

599.25 dollars

Step-by-step explanation:

Answer:

512.75$

Step-by-step explanation:

2.50 x 6 = 15.00$

So, add 15 to 498.75 by using standard algorithm.

Your result should be 512.75$

Therefore, your answer would be 512.75$

-kiniwih426

please help me
IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT

Answers

Answer:

As follows,

Step-by-step explanation:

1

3x^2y^-1

3x^2/y

2

∛2x^5y^3

2^(1/3)x^(5/3)y^(3/3)

2^(1/3)x^(5/3)y

3

5^(4/4)x^(1/4)y^(3/4)

∜5^4xy^3

32 450 to nearest thousand

Answers

answer would be:32000

Answer:

32,000 or 32 thousand

Step-by-step explanation:

When looking at thousands, we must determine if the hundreds place has more than 5 which would be half of a thousand. So... if there would have been 32500, then the answer would have been 33,000 because there were 500.

Since there are only 450, we are going to have to round back to 32,000 since the number isn't large enough.

-kiniwih426

pls answer the problem below

Answers

Answer:

9 hours

Step-by-step explanation:

just do 441/7 and then you get 63 miles per hour

and then you divide 567/63 and you get 9!

easy peasy hope I helped

A circle has a diameter of 12 cm. What is the area of this circle?

Answers

Answer:

113.04 im not sure though, I would double check first (:

Step-by-step explanation:

Determine whether the ordered pair is a solution of the linear equation y = -3/2x + 8 (2/37)

Answers

Answer:

No it is not a solution of the linear equation

Step-by-step explanation:

it is not a solution because

37= -3/2(2)+8

37= -3+8

37=5

Hurryyyy

An equation is modeled below Determine the solution for the equation.

Answers

Answer:

4

Step-by-step explanation:

:)

hhhhhhhhhhheeeeeeeeelllllllllllllppppppppp

Answers

Answer:

Your answer is C. Angle a is congruent to both angles 3 and 1.

Step-by-step explanation:

When the exponent is 2 and the base is unknown and the answer is 0.64 What is the base?

Answers

the base is 0.8
0.8^2 would also be 0.8 x 0.8
which will equal 0.64

Consider the two linear expressions.

−(−12−6x−3) and 3.5−6x

Are the two linear expressions equivalent?

Drag a word or phrase to the box to correctly complete the statement.

The expressions are Response area.
The option "not equivalent" (2 of 2) has been grabbed. Press tab to choose where to drop it. Drop it by pressing the spacebar key. Cancel the operation by pressing escape.

Is it equivalent or is it not equivalent pick one

Answers

Answer:

Step-by-step explanation:

−(−12−6x−3)

= 12 + 6x + 3

= 6x + 15.

So 3.5 − 6x  is not equivalent to −(−12−6x−3)

Both linear equations are not equivalent to each other and this can be determined by evaluating the equation (-(-12 - 6x - 3)) by using the arithmetic operations.

Given :

Equations  ---  -(-12 - 6x - 3) and (3.5 - 6x)

The following steps can be used in order to determine the given equations are equivalent or not:

Step 1 - Write the given equations.

=−(−12−6x−3)               ---- (1)

= (3.5 − 6x)                  ---- (2)

Step 2 - Multiply -1 by (−12−6x−3) in the equation (1).

= 12 + 6x + 3

Step 3 - Add 12 and 3 in the above expression.

= 6x + 15   ---- (3)

Step 4 - Now, compare equation (2) and equation (3).

6x + 15 [tex]\neq[/tex] 3.5 - 6x

So, from the above steps, it can be concluded that both linear equations are not equivalent to each other.

For more information, refer to the link given below:

https://brainly.com/question/15385899

4(x-8)+12 equal 2(2x-9)

Answers

(Answer explained)

4(x-8)+12=2(2x-9)

We move all terms to the left:

4(x-8)+12-(2(2x-9))=0

We multiply parentheses

4x-(2(2x-9))-32+12=0

We calculate terms in parentheses: -(2(2x-9)), so:

2(2x-9)

We multiply parentheses

4x-18

Back to the equation:

-(4x-18)

We add all the numbers together, and all the variables

4x-(4x-18)-20=0

We get rid of parentheses

4x-4x+18-20=0

We add all the numbers together, and all the variables

-2!=0

There is no solution for this equation

   

What is the missing value??

Answers

the missing value is 17.

Answer:

17

Step-by-step explanation:

The 'y' is increasing by 4 every time 'x' is going up by 1

the abc store sold 3 ukuleles for 30$. what is the unit price?

Answers

Answer:

$10 dollars per ukuleles

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

90 dollers and zero cents

> Simplify the expression: | - 8 - ( + io)
5
12
4.
5
12
4.

Answers

-79/100 and the decimal form is -0.79

Please help me! Please!

Answers

Answer:

here is your aneswer

the answer. will be 40

Simplify 2 square root 36

Answers

Answer:

2√36 = 12

Step-by-step explanation:

2√36

√36 = 6

2(6) = 12

ANSWER FOR A CHANCE TO WIN A TESLA MODEL X


(image down below)

Answers

Answer:

all right angles are congruent (90 degrees)

Step-by-step explanation:

I don't know if there are choices for you, but all right angles are congruent, meaning they are the same measurement

Helllp pls help and don’t comment if u don’t know

Answers

Answer:

a) 7z³+2z²-2z+1

b)2x²+3x-8

Step-by-step explanation:

a) (7z³+4z-1)+(2z²-6z+2)

   7z³+2z²-2z+1

b) (5x²-2x-1)-(3x²-5x+7)

   5x²-2x-1-3x²+5x-7

   2x²+3x-8

For the first one Answer:7z^3 −2z+1+2z^2

Step-by-step explanation:

(7z ^3

+ 4z −1)+(2z^2

− 6z +2)

Combine 4z and −6z to get −2z.

7z3  − 2z −1 + 2z2  +2

Add −1 and 2 to get 1.

7z3  − 2z + 1 + 2z2

A _________ indicates the outer edge of a roadway, and it may be crossed only by traffic moving to or from the shoulder.

Answers

Answer:

edge lines

Step-by-step explanation:

Help solve this please.

Answers

Hey there!

(-12) - (+3 - 4 - 10) + (-15)

= -12 - (3 - 4 - 10) - 15

= -12 - (-1 - 10) - 15

= -12 - (-11) - 15

= -12 + 11 - 15

= -1 - 15

= -16

Therefore, your answer should be: -16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

20,612,439 in scientific notation

Answers

2.0612439*10^7 should be your answer
Other Questions
SkillFigure A is a scale image of figure B.AreaFigure AAreaprobiQuizPraceupoFigure BVertisupp122Figure A maps to figure B with a scale factor of7UnitTestWhat is the value of x? Quadrilateral ABCD has the following coordinates A (0,0) B(0,3) C(5,5) D(5,2). What kind of quadrilateral is ABCD? Prove your answer ILL GIVE BRAINLIEST. Pls help! An outdoor art display is a metal cube with edge length 57 feet. What is the volume of the cube in cubic feet? In cubic yards? When was the Capital Building burned down? 1 ).Which religion celebrates christmas easter and pentecost?A) christianityB) judaismC)hinduismD)islam2). belief in a set of principles that guide ones life isA)ethiclismB) animismC). polytheismD). monotheism a soda company puts a different symbol on a soda cap each year. help me please asap he point A has coordinates A(2, 4). What are the X-coordinates of A for the dilation D1.5(A)? A restaurant is interested in learning about the food preferences of people living nearby to the restaurant and intends to use survey data to help decide which new items to add to the menu. Which of the following is LEAST likely to be part of the process used to analyze the data? a. Cleaning a data visualization to remove unwanted patterns. b. Iteratively creating visualizations to ask and answer new questions. c. Cleaning data to remove inconsistencies. d. Filtering the data to look at the responses from only certain groups. How do paragraphs 33-34 contribute to the developmentof ideas in the text?A They imply that baseball is the most important sportwhen it comes to furthering scientific studies.B They show how baseball has become a predictablesport because of all the data available on it.C They explore the ethical problem involved withcollecting data and using it to improve an individualplayer's game.D They emphasize the various researchers and scientistswho study baseball, as well as the different applications for studying baseball.Help if you sure of the answer.Put a link and get reported. Need help on the diagonal of the rectangular prism Amanda can jog 18 miles in 5 hours. Find the value of x. Round your answer to the nearest tenth.x I only have 5 minutes!!!!! Help no websites help me ASAP fill in the blank and dont answer it if you dont now The length of a planet's orbit around a star is approximately 22,200,000 km.It takes the planet about 1230 Earth days to complete a full orbit.What is the planet's average speed in kmh-1 to 3sf? Which table shows a linear function?-4- 112382246-16-8-6-2013-2.2y0-2 Which quadrilateral makes this statement true? Quadrilateral ABCD Help please and no links A diameter of a circle has endpoints at (-3, 2) and (-3,-3). What are the coordinates of the centerof the circle?A (0, 3)B(-3,-1)C(-6, -1)D (-3, 0) Steam Workshop Downloader