Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
4, -1+6i

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x) = (x-4)(x+1-6i)(x+1+6i)

= (x-4)((x+1)²-(6i)²)

= (x-4)((x²+2x+1)-(-36))

= (x-4)(x²+2x+37)

= x³-2x²+29x-148


Related Questions

Mhanifa please help I will mark brainliest

Answers

Answer:

36°90°

Step-by-step explanation:

Question 1

x = 180° - 2*72° = 180° - 144° = 36°

Question 2

x + 2(x/2) = 180°2x = 180°x = 90°

how do you expand (8+x) (9+x)

Answers

Answer:

x²+17x+72

Have a great day :)

If Sarah has 20 apples and Mike has 17 apples I'd they gave Dave 5 apples each how many will they have in all

Answers

Answer:

37 because they gave dave 5 of their own apples each its not like they got more then gave it to him

Step-by-step explanation:

Which is greater, 4/5 or 75%?*

Answers

Answer:

4/5

Step-by-step explanation:

4/5 is equal to 80%, which is more than 75%.  How you can figure this out is that you can determine 4/5 of 100, (divide 100 by 5 and pick the 4th part,) to get 80.  75% is equal to 3/4, so divide 100 by 4 and shoose the 3rd part, 75.  Therefore, 4/5 is greater than 75%.  

Hope this helps!  :)

What is the equation of the line whose slope is 1/3 and y-intercept is -4?

Question 1 options:

y=−4x+13

y=13x−4

y−4=13x

3y=−4x

Answers

Answer:

y=1/3x-4

Step-by-step explanation:

the slope-intercept format of the line is y=mx+b, where m is the slope and b is the y intercept.

we are given the slope (1/3) and the y intercpet (-4).

substitute the numbers into the equation

y=1/3x-4

the answer is y=1/3x-4

hope this helps!

The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to pay
for the sweater during the sale if the customer paid with the
store's credit card? Round your answer to the nearest cent.

Answers

Answer:

Ambitious Ambitious Ambitious Ambitious

Which estimate is closest to the actual value of (2.99548) ⋅ (1.8342)? CHOOSE ALL THAT APPLY!

A. 4.8
B. 5.5
C. 6.2
D. 8.3

Answers

I think B. Would be the correct one

what is 50(4+6)?
πωπ

Answers

Step-by-step explanation:

50(4+6)=500

hope it helps you get

500 doebdvdhsossns diakd spend didjf Bdnd shedding ffidjdbdbdudjdhdhdhdbdbdbdbdbdbdbdhhdhdjdjdjjss

find the measure of b

Answers

Answer:

93°

Step-by-step explanation:

8x-25+7x-5=180

15x-30=180

15x=210

x=14

<B=7(14)-5

<B=93°

need help on my hw rip me

Answers

Answer:

pretty sure its the first one

Step-by-step explanation:

Answer:

x<6

Step-by-step explanation:

its an open dot. this means 6 isn't part of the inequality.

Solve for the value of n.

pls help I will give brainliest + 34 points!

Answers

90+44+(3n-5)=180
134+(3n-5)=180, subtract 134 from both sides
3n-5=46
3n=51
n=17
To check: 90+44+(3x17-5)=180

9514 1404 393

Answer:

  n = 17

Step-by-step explanation:

The angle sum theorem tells you the angles add up to the linear angle of 180°.

  (3n -5)° + 90° +44° = 180°

  3n + 129 = 180 . . . . . . . . . . collect terms

  3n = 51 . . . . . . . . . . . . subtract 129

  n = 17 . . . . . . . . . . divide by 3

I have a number
First I multiply by 4
Then I add 12
Next I divide by 5
As a result I get 2

What is my starting number?

please help

Answers

I think it’s -1/2 because you would have to do the equation the opposite way so whenever it says divide you need to multiply etc.

. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.

Answers

Answer:

a) The population of interest = 10,000 benefited employees.  It includes all benefited employees.

b) The sample collected = 3,095.  These are the benefited employees who participated in the study.

c) Indication of demographic variables as categorical or numerical:

Demographic data:              Categorical or Numerical    

Gender                                = Categorical

Age (years)                          = Numerical

Education level                    = Numerical

 (years completed)

Marital status                       = Categorical

Household income ($)        = Numerical

Employment Category        = Categorical

Step-by-step explanation:

a) Data and Calculations:

Population of interest = 10,000 benefited employees

Sample = 3,095 participants

Demographic data:

Gender

Age (years)

Education level (years completed)

Marital status

Household income ($)

Employment Category

b) A variable is numerical value (e.g. length, test scores, etc.).  It is a continuous variable.  A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.

if a function f is defined such that f(x+3) = f (x) + f(3) show that f(-3) = -f(3)

Answers

Answer:

[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]

I need help with thiissss

Answers

Answer:

25°

Step-by-step explanation:

Angles on a straight line equal 180°, so 180-155=25

Answer:

B I believe but I'm not 100%

somebody help plz how can i solve the following equations of 6v+3=21​

Answers

21-3= 18 and 18 divided by 6 equals 3 so v=3

In a study of speed​ dating, female subjects were asked to rate the attractiveness of their male​ dates, and a sample of the results is listed below ​(1not ​attractive; 10extremely ​attractive). Find the​ range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult​ males

Answers

Answer:

[tex]Range = 7[/tex]

[tex]s^2 = 3.53[/tex] -- Variance

[tex]s = 1.88[/tex] --- Standard Deviation

No, it can not be used

Step-by-step explanation:

Given

I'll use the data in the attachment to answer the question.

(a) Range:

[tex]Range = Highest - Lowest[/tex]

From the attached data.

[tex]Highest = 10[/tex]

[tex]Lowest = 3[/tex]

So:

[tex]Range = 10 - 3[/tex]

[tex]Range = 7[/tex]

(b) Variance:

We start by calculating the mean:

[tex]\overline x = \frac{\sum x}{n}[/tex]

[tex]\overline x = \frac{5 + 8 + 3 + 8 + 6 + 10 + 3 +......+ 8+8+7}{26}[/tex]

[tex]\overline x = \frac{171}{26}[/tex]

[tex]\overline x = 6.58[/tex] --- approximated

The sample variance is then calculated using:

[tex]s^2 = \frac{\sum(x_i - \overline x)^2}{n-1}[/tex]

This gives:

[tex]s^2 = \frac{(5-6.58)^2+(8-6.58)^2+(3-6.58)^2+(8-6.58)^2+..............+(8-6.58)^2+(8-6.58)^2+(7-6.58)^2}{25-1}[/tex]

[tex]s^2 = \frac{88.3464}{25}[/tex]

[tex]s^2 = 3.53[/tex]  --- approximated

(c) Standard Deviation.

This is calculated as:

[tex]s = \sqrt{s^2[/tex]

Substitute 3.53 for [tex]s^2[/tex]

[tex]s = \sqrt{3.53}[/tex]

[tex]s = 1.88[/tex] --- approximated

(d) No, it can not be used because the selected sample is too small to represent the total population and as such the result of the measure of variations can not be used.


Use the ordered pairs shown in the table below.

X:20,30,40,50
Y:30,45,60,75
which equation represents the data in the table?
A: y=1.5y
B:x=1/3y
C:x=1.5y
D:y=2/3x

Answers

Answer:

A.

Step-by-step explanation:

if you multiply 20 times 1.5 you get 30. If you multiply 30 times 1.5 you get 45. If you multiply 40 times 1.5 you get 60. If you multiply 50 times 1.5 you get 75 . meaning that y equals 1.5

Dominic earns $15 an hour working at a movie theater. last week he worked h hour at the concession stand and three times as many hours at the ticket counter. how much did Dominic earn last week

Answers

Answer:st week he worked h hours at the concession stand and three times as many hours at the ticket ... How much did he make before the raise? ... Alice earns 1.5 times her hourly rate for each hour she works after 40 hours in a week. ... Dominic earns $18 an hour plus $25 an hour for every hour of overtime.

Step-by-step explanation:

Joy borrowed $2,000 from the bank and agreed to pay an annual interest rate of 6%for 24 months. What is the amount Of interest she will pay on this loan?

Answers

Answer:

2,240

Step-by-step explanation:

6% of 2,000 is 120 so times that by 2

Answer:

$240.00

Step-by-step explanation:

2000(.06)(2)=240

What type of number is -4.8 +56i?

Answers

Answer:

Step-by-step explanation:

It's an imaginary number, where i = √(-1)

If you buy one papaya for $3 then how many can you buy with $24

Answers

Answer: You can buy 8 papayas.

Step-by-step explanation:

24 divided by 3 =8

Answer:

8 Papayas

Step-by-step explanation:

24 divided by 3= 8

what is the value of x?
[tex]3x + 5y = 45[/tex]

Answers

Yeah I don’t know x blah and b oop

Answer:

x = -5/3y + 15

Step-by-step explanation:

Step 1: Subtract -5y from both sides.

3x+5y+−5y=45+−5y

3x=−5y+45

Step 2: Divide both sides by 3.

3x divided by 3 = −5y+45 divided by 3

x = -5/3y + 15

Hope this helps you

what is this ???????????

Answers

Answer:

The heavier an object the harder it is to move.

Step-by-step explanation:

I'm pretty sure this is it

Answer:

C. Gravity and Friction combine to make a train hard to move.

Step-by-step explanation:

This option makes the most sense based off of the text. In the text it says "Since gravity and friction make trains harder to move...." None of the other options really match the text either.

Hope it helps!

It’s due late tonight can some pls help me pass

Answers

A
She added 2 every time thats why the output keeps increasing

HELP PLS 30 PTS !!!!!!!!!!!!

Answers

Answer:

its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.

Step-by-step explanation:

How do I do Question 9?

Answers

Answer:

$9.30 x 30 minutes and $9:30 x 5 hours

Step-by-step explanation:

If I did the math right it should be: he should earn $186. Hopefully I was helpful.

I NEED THE CORRECT ANSWER TO THIS ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

15

Step-by-step explanation:

7)
Each choice compares two expressions. Choose ALL pairs of expressions that are equivalent.
A)
y + y + y = 3y
B)
2c - 5 = ((x 0 - 5
K2 + 3;= k + k + i ++
D
3x + 2y = (x * * * ) + x)
E)
1a + 2b = (a* a * a) + (6 + 6)

Answers

A is the answer because its the only one that is in its exact formation of the question

Answer:

the Answer Is A and E

Step-by-step explanation:

-12 times 1over3 help.

Answers

Answer:

-4

Step-by-step explanation:

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