I really need help with this. Can anyone help me please?

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
3,-2+2i

Thank you!

Answers

Answer 1

Answer:

f(x) = x³ + x² - 4x - 24

Step-by-step explanation:

Since one of zero's is complex number, its conjugate should also be a zero of the given polynomial.

The conjugate of  -2 + 2i is -2 - 2i

The polynomial is going to be:

f(x) = (x - a)(x - b)(x - c) with minimum of degree 3, with zero's a, b and c.

Substitute zero's:

f(x) = (x - 3)(x - (-2 + 2i))(x - (-2 - 2i)) =         (x - 3)(x² - x (-2 + 2i  -2 - 2i) + (-2 + 2i)(-2 - 2i)) =         (x - 3)(x² + 4x + 8) =         x³ + x² - 4x - 24


Related Questions

Complete the statement about statistical studies.
Asking a group to respond to one or more questions is an example of
v. which is a type of
Reset
an experiment
a survey
a repeated measures design

Answers

Answer:

a survey

observational study

Please give me Brainliest, I really need it.

A Survey is the gathering of information. Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.

What is a survey?

A survey is a collection of question asked to a random group of people who represent the entire population, the responses of the group is assumed to be valid for the entire population.

The blank spaces in the statement can be filled as shown below.

Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.

Learn more about Survey:

https://brainly.com/question/17373064

Hello. Can y’all help me on this please :)
I would probably give brainliest ?

Answers

Answer:

step 1 is wrong

subtract 15 from both sides

x=46

neither tom nor jerry

Answer:

both answers are wrong, substract 15 from both sides, 46, neither tom nor jerry

Step-by-step explanation:

1. 12 ÷ 4 = 3

2. -2.5=25

x=-10

3. 123-77=46

4. neither one of them because 41+12≠29 and 52-14≠66

PLEASE HELP!!!!! If all the triangles below are the result of one or more rigid transformations, which of the following MUST be true?

All corresponding line segments are congruent.
All corresponding angles are congruent.
All triangles have the same area.
A,B, and C are all correct.

Answers

Answer:

A,B, and C are all correct

Step-by-step explanation:

Rigid transformations do not change figures except for where they are at.

HELP PLEASE ILL GIVE 10 POINTS

Answers

Answer:

The answer would be 150 degrees.

Step-by-step explanation:

When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.

Since angle A and B are alternate interior angles, you can now set the two equal to each other.

So, in order to find out what x equals, you have to set the two equations equal to each other.

8x-10=3x+90

Next, solve the new equation.

8x-10=3x+90

Add 10 to both sides.

8x=3x+100

Subtract 3x from both sides.

5x=100

Divide both sides by 5 and you'll get your answer.

x=20

Now that you know what x equals, you can substitute it into the equation for B.

<B= 3(20)+90

60+90= 150

<B=150 degrees

That gives you your answer of <B = 150 degrees.

To check your work you can also substitute x into the equation for <A.

<A= 8(20)-10

160-10= 150

<A=150 degrees.

Therefore, you have just proved that the answer is 150 degrees.

PLEASE HELP MATH URGENT!!!! THX

Answers

Answer:

80

Step-by-step explanation:

The length of a rectangular garden is 4 less than twice the width find the perimeter and area of the garden

Answers

Answer:

Let w be the width. Then the length is 2w-4. So:

w(2w-4)=96

2w²-4w-96=0

w²-2w-48=0

(w-8)(w+6)=0

w=8 or -6

Throwing out the negative value for w, we get a width of 8 yds, and a length of 12 yds. ☺☺☺☺

Jane takes a survey of 100 random students to determine what color of eyes they have. The results are shown in the chart.

Based on the outcome of the survey, enter the number of students expected to have green eyes if there are 20 students in her class.

Answers

Answer: 3 students

Step-by-step explanation:

15% of 20

Answer:

i don't what it is but i'm going to work it out and give you the answer

Step-by-step explanation

The graphs give the prices of different sizes of TVs available in the market. Which graph contains the line that best fits the given data and shows a positive association?

Answers

Answer:

3.05kilograms to grams

Answer: it’s graph D


:)

answer this for brainliest answer

Answers

The answer would be 4n+40

Answer:

exact form of n=3/2

decimal form of n=1.5

mixed number form of n= 1 1/2

I NEED HELP NOW PLZ!!

Answers

Answer:

D last one

Step-by-step explanation:

Find an equation of the tangent line to the curve at the given point. y = x3 − 3x + 2, (3, 20)

Answers

Answer:

[tex]y - 20 = 24(x - 3)[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, has the following format:

[tex]y - y_0 = m(x - x_0)[/tex]

In which the point is [tex](x_0,y_0)[/tex] and the slope is m.

(3, 20)

This means that [tex]x_0 = 3, y_0 = 20[/tex]. So

[tex]y - y_0 = m(x - x_0)[/tex]

[tex]y - 20 = m(x - 3)[/tex]

Slope:

The slope is the derivative of the function at the point:

The function is:

[tex]y = x^3 - 3x + 2[/tex]

The derivative is:

[tex]y^{\prime}(x) = 3x^2 - 3[/tex]

At the point, we have that [tex]x = 3[/tex]. So

[tex]m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24[/tex]

So the equation to the tangent line to the curve a the point is:

[tex]y - 20 = 24(x - 3)[/tex]

-6x+5y=1 and 6x+4y=10.simplify

Answers

Answer:

1.)[tex]x=-\frac{1}{6} +\frac{5y}{6}[/tex]

2.)[tex]x=\frac{5}{3} -\frac{2y}{3}[/tex]

X = 23 over 27. Y = 11 over 9

Match each fraction, decimal, or percent with an equivalent fraction, decimal, or percent


It's more different than other people, for some people 1/2 equal 7.5. but mine shows 1/2 = 50% or 2/ 25 or 72% or 0.34? so I know mine doesn't add up, and this is on docs.

Answers

Answer:  2/25 as a percent is 8% and as a decimal is 0.08 and what is your question I don't really understand?

Step-by-step explanation:

How many ways can Rudy choose 5 pizza toppings from a menu of 20

Answers

Answer:

15504 ways

Step-by-step explanation:

[tex]C(n,r)=\frac{n!}{r!(n-r)!} \\\\C(20,5)=\frac{20!}{5!(15)!} \\\\C=15504[/tex]

Barry has $55. He used 2/5 of his money to buy a new pair of running shoes. How much did Barry spend on his new shoes?
(Please hurry this is a test!)

Answers

Answer:

22, also nice woomy pfp!!!!

Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.

Answers

Answer:

$365

Step-by-step explanation:

did the math

okay so for some reason my mind went completely blank and forgot how to do pathagoream theorem. so like could you tell me the steps please​

Answers

Answer:

12

Step-by-step explanation:

Pythag Theorem is Leg² + Leg²= Hypotenuse²

So I set it up as: x² + 9²=15²

Then solved and got: x² + 81 =225

Then I subtracted 81 on both sides and got: x² = 144

Then squareroot each side to undo the x² and got x=12

The formula for the pythagorean theorem is a^2 + b^2 = c^2, or in this case, leg^2 + leg^2 = hypotenuse^2. After inserting the values into the equation, you get x^2 + 9^2 = 15^2. The next step is to find the value of x, and to do so, you must evaluate the powers (9^2 = 81, 15^2 = 225) and subtract 81 from both sides of the equation. Lastly, take the square root of both sides, and you get the final answer of 12.
Hope this helps! Have a good day!

In the figure below, lines A and B are parallel. Find the m∠5 if m∠1 = 75° and m∠3 = 40°

Answers

Answer:

Angle 5 is 75 degrees

Step-by-step explanation:

angle 1 is congruent to angle 5

so angle 5 is also 75 degrees.

The measure of angle 2 and 5 are 65° and 85° respectively.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, lines A and B are parallel.

Here, m∠1 = 75° and m∠3 = 40°

Now, x+m∠2+m∠3=180°

x=m∠1 (Vertically opposite angles)

x=75°

75°+m∠2+40°=180°

m∠2+115°=180°

m∠2=65°

m∠2=m∠4=65° (Interior alternate angles are equal)

Now, m∠4+m∠3+m∠5=180°

65°+40°+m∠5=180°

m∠5=85°

Therefore, the measure of angle 2 and 5 are 65° and 85° respectively.

To learn more about the vertical angle theorem visit:

brainly.com/question/8119520.

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What effect does inflation have on the prices of goods and services?
Ο Α.
Prices decrease.
OB.
Prices double.
O a.
Prices Increase.
D.
Prices stay the same.

Answers

Rising prices/ prices increases

Answer:

price increase

Step-by-step explanation:

.....

You start baby sitting at 5:30 pm. You babysit for 2 hours. What
time will you be done babysitting?

Answers

Answer:

7:30

Step-by-step explanation:

5:30 + 2:00 = 7:30

Answer:

7:30 p.m.

Step-by-step explanation:

you start babysitting at 5:30 you babysit for 2 hours 5 + 2 equals 7 . 7+.30 equals 7:30 p.m.

HELP WHOEVER ANSWERS WILL BE MARKED BRAINLIEST!!!
Liam needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 5.25 hours and charged him $111 for parts. The total was $767.25. What was the cost of labor, per hour?

Answers

Answer:125

Step-by-step explanation:

very urgent, how many beans?

Answers

430 beans. nah fr how in the héll are we supposed to figure this out

Answer: Well, my best guess would be: 1636 beans

apparently the average weight of a jellybean is 1.1 grams

1.8 kg is 1800 grams

1800 / 1.1 = around 1636

So it's around 1636 jelly beans ?

que es mayor? -6, +5, +1, -2, 0, -8, +7, -4​

Answers

+7 es mayor

7 is the highest

Find the ratio created when BA is partitioned by C.
Write your ratio with a, : and do not include spaces.

Answers

Answer:

[tex]AC:CB = 3:2[/tex]

Step-by-step explanation:

Given

The attached

Required

Find the ratio when partitioned by C

When BA is partitioned, the segments are: AC and CB

From the attachment:

[tex]AC = 3[/tex]

[tex]CB = 2[/tex]

So, the ratio is:

[tex]Ratio = AC : CB[/tex]

[tex]AC:CB = 3:2[/tex]

45 plants cost
Rs 180
find cost of 65 Plant​

Answers

Answer:

Check pdf

Step-by-step explanation:

Answer:

x=Rs-260

Step-by-step explanation:

let x be the cost of 65 plants 45/180=65/xx=Rs-260

What are the sides of the triangle? What is the total length of the side of the big square?

Answers

Answer:

The sides of the the triangle is 7. The total of the the triangle is 24.

Step-by-step explanation:

I count how many triangle there is and is 7. I count all of the side of the triangle and it's 24.

Bailey has saved 54% of the money he needs to buy a new
skateboard that costs $172.00. How much more money
does he need to buy the skateboard?

Answers

Answer:

$79.12

Step-by-step explanation:

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more.

Bailey has saved 54% of the money he needs to buy a new

skateboard he needs $79.12 more.

We have given that,

Bailey has saved 54% of the money he needs to buy a new

a skateboard that costs $172.00.

We have to determine how much more money he needs to buy the skateboard.

What is the savings?

Saving is income not spent or deferred consumption. Methods of saving include putting money aside in, for example, a deposit account, a pension account, an investment fund, or cash. Saving also involves reducing expenditures, such as recurring costs.

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more

To learn more about the savings visit:

https://brainly.com/question/25787382

#SPJ2

The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?

Answers

Answer:

length=4 1/4

Step-by-step explanation:

1 3/4 + 2 1/2convert 2 1/2 into 2/4 since 2 is half of 4 add the converted number and 1 3/4 fractions2/4 and 3/4 added will make 1 1/4add 1 1/4, 2 and 1 and it will equal 4 1/4

Which expression has a negative value? PLS HELP

Answers

Answer:

A) x+y

Step-by-step explanation:

A)  x+y

C & D are automatically out because if you multiply or divide by a negative number, you get a positive number.

B) -11/8-(-11/4)=

-11/8+22/8=11/8 (positive)

Answer:

The answer would be B.

Step-by-step explanation:

The answer is B Because -11/4 -11/8 would equal to -4 1/8 which is negative so the answer is B

how is 1/2 and 4/8 equivalent​

Answers

Answer:

they are both half

Step-by-step explanation:

1 is half of 2 And 4 is half of 8

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