What is the degree of the simplest polynomial function with zeros at the square root of 3, 4i, and -2.

What Is The Degree Of The Simplest Polynomial Function With Zeros At The Square Root Of 3, 4i, And -2.

Answers

Answer 1

Answer:

Degree of polynomial → 4

Step-by-step explanation:

Conjugate roots theorem states that if a polynomial has a root (a + ib), then (a - ib) will be the other root.

In this question it has been given that a polynomial function has the zeros (roots) as x = [tex]\sqrt{3}[/tex], 4i and -2.

Therefore, the given polynomial will have four roots, [tex]\sqrt{3}[/tex], 4i, -4i and -2.

Function will be f(x) = (x - [tex]\sqrt{3}[/tex])(x + 4i)(x - 4i)(x + 2)

Degree of the polynomial → 4


Related Questions

help plz plz just answer questions

Answers

1.40
2.60
3. $1.35
4. 6%

plllllllllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

63/9=7

6.3/0.9=7

0.63/0.09 = 7

Step-by-step explanation:

7for the first one .7 for the second and 6.91 got the third

Solving Quadratic Equations Maze 1
x²- 8x - 33 = 0

Answers

X= 11, -3 ajshbsyevejsgsvxhfvs

The solutions to the given quadratic equation are x=11 and x=-3.

The given quadratic equation is x²-8x-33=0.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

By using splitting middle term method, we get

x²-11x+3x-33=0

x(x-11)+3(x-11)=0

(x-11)(x+3)=0

(x-11)=0 and (x+3)=0

x=11 and x=-3

Therefore, the solutions to the given quadratic equation are x=11 and x=-3.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ6

Which points are 19 units apart?​

Answers

C i believe because -20 - 1 is 19
C I think sry if I’m wrong Oop:( :)

Solve for X
3= x/3.3 x=

Answers

X=9.9 I believe (sry if I’m wrong)

If x2 = 10, what is the value of x?

Answers

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

Answer~

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

simplifyied~

x = 5

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x

Answers

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain or show your reasoning.

Answers

Answer:

114 marbles.

Step-by-step explanation:

Let the number of red marbles be r

Let the number of black marbles be b

Given the following data;

Total number of marbles = 120

Translating the word problem into an algebraic equation, we have;

[tex] r = 19b[/tex] .......equation 1

[tex] r + b = 120[/tex] ........equation 2

Substituting the value of "r" into equation 2, we have;

[tex] 19b + b = 120[/tex]

[tex] 20b = 120[/tex]

[tex] b = \frac {120}{20}[/tex]

b = 6 marbles.

To find the number of red marbles;

From equation 1;

[tex] r = 19b[/tex]

Substituting the value of "b" into equation 1, we have;

[tex] r = 19*6[/tex]

r = 114 marbles.

Therefore, there are 114 red marbles in the bag.

i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))

Answers

Im sure it's -3    Because well thats what  i got

Laura needed an electrician to provide electrical repairs in her kitchen. The electrician will charge Laura x ​dollars per hour for a 5-hour job and $20 for electrical parts, and also $50 for a new ceiling fan. Write an algebraic expression in simplest form to determine how much the electrician will charge Laura.

Give the expression and answer please

Answers

Answer:

The answer is 50x + 70

Step-by-step explanation:

I am happy to help. An expression has no equal sign. We don't know how much the electrician will charge Laura. But we do know how much hours the job is. Laura also has to pay for the electrical parts that are 20 dollars and 50 dollars for a new ceiling fan. This is an additional cost. In all, the expression would be 50x + 70, if it is simplified. You would add like terms, such as 20 and 50 to get 70.

A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?

Answers

Answer:

The value of n:

[tex]n=\frac{22}{3}[/tex]

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

(n, 1)(8, 5)

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

[tex]n=\frac{22}{3}[/tex]

Rafael Is going on a trip to the beach with his family. The price of a hotel room is $120.85 per night. The family is sharing one room. The total bill before taxes is $483.40. How many nights are Rafael and his family staying in the hotel?

Answers

Answer:

They spend four nights

Step-by-step explanation:

Divide 483.40 by 120.85

Sonia saw a school play that was 2.15 hours long. How many minutes long was the play?



129.00 minutes


120.15 minutes


27.90 minutes


62.15 minutes

Answers

Answer:

Answer 120.15 minutes long

Step-by-step explanation:

Answer:

129.00m

Step-by-step explanation:

1h=60m

2.15=x

2.15h×60m=1h×x

129m×h=1h×x divided both side by 1h

129m=x

negation "If it rains then I take an umbrella."

Answers

this means that if it’s raining take an umbrella and go thru it regardless in life

Use the formulas to generate a Pythagorean Triple with x = 8 and y = 3.

Answers

A squared+b squared=c squared

5 squared+2 squared=c squared

25+4=29

The square root of 29 is C.

The order would be 2, 5, the square root of 29

(Hope this helped! If u dont mind, can u mabey give brainliest to me? <3)

Using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

What are Pythagorean triples?

Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, x=8 and y=3.

The formula is (x²+ y²)²= (x² - y²)² + (2xy)²

Now, (8²+ 3²)²= (8² - 3²)² + (2×8×3)²

(64+9)²=(64-9)² +(48)²

73²=55²+48²

5329=5329

Therefore, using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

Learn more about the Pythagorean triple here:

https://brainly.com/question/15190643.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

The identity (x²+ y²)²= (x² - y²)² + (2xy)² can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

Delta math needed!!!

Answers

Parallel are the lines as they have same slope different y not

Answer:

Parallel

Step-by-step explanation:

Slopes of the line

can you put your tongue in a not??

Answers

Answer:

No, it is physically impossible to put your tongue in a knot.

Step-by-step explanation:

(tan x - 1) (sin^2x - 3) =0
no answer necessary

Answers

Answer:

0

Step-by-step explanation:

Thx

6 − 3.98 what is the answerrrrr

Answers

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D

Pls help will give brainlist

Answers

6:4 :) dhshsjwnsnndncncbd
The ratio is 6 basketballs to 4 soccer balls, or generally 6:4

Write the number below in expanded notation 75,966

Answers

7.596 to the 4th power

In a survey of 3100 people who owned a certain type of​ car, 1240 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

40% of people would buy the car again.

Hope this helps!

Step-by-step explanation:

A booth at the farmer’s market has fresh goat cheese in three sizes of containers. The big container is 30 ounces and costs $9.00. The medium container is 15 ounces and costs $4.95. The small container is 8 ounces and costs $2.00. What size is the best buy? Justify your reasoning.

Answers

Answer:

8 ounce

Step-by-step explanation:

The 30 ounce container costs $0.30 per ounce. The 15 ounce container is $0.33 per ounce. The 8 ounce container is $0.25 per ounce. Therefore, the 8 ounce container costs less per each ounce.

Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!

Answers

Answer:

1 -> 12s

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

How much ply wood is needed to make 12
cabinets each requires 5 m long?

Answers

Answer:

60 m worth?

Step-by-step explanation:

5×12

36^(-2x+1)=216 solve for x PLZZZZZZ!!!!!

Answers

(6)^2(-2x+1)=(6)³

evaluating the power of both sides as having same base (6)

2-4x=3

2-3=4x

x=-0.25

The solution of the expression for the value of x is -0.25.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]36^{(-2x+1)}=216[/tex]

The expression can be written as:-

[tex](6)^{(2)(-2x+1)}=(6)^3[/tex]

Evaluating the power of both sides as having the same base (6)

2-4x = 3

2-3 = 4x

x = -0.25

Hence, the value of x is -0.25.

To know more about an expression follow

https://brainly.com/question/518453

#SPJ2

Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?

Answers

$0.09 will he have left after buying the greatest number of sunglasses and beach balls.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Model Inequality:  4x + 2.5x ≥  45.

Now, solving for inequality

4x + 2.5x ≥  45.

(4 + 2.5)x ≥ 45

6.5x ≥ 45

x ≥ 45/ 6.5

x≥ 6.92

x≥ 7 (approx)

So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)

                                                                                   = $44.91

Thus, the left money is = 45- 44.91 = $ 0.09

Learn more about inequality here:

https://brainly.com/question/30231190

#SPJ2

Write 0.09 repeating as a fraction.​

Answers

Answer:

0.09=9\100

Step-by-step explanation:

what is 20 percent of 90?​

Answers

Answer:

18

Step-by-step explanation:

18% hope this helpss

If EG=71 , find the value of x

Answers

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

Other Questions
What would you implement into the election process that would improve the process while ensuring legality,transparency, and the security of the election process? I will give u a brainly please help Write an equation to represent the scenario. The shoes were $175. They are now 10% off. How much are they now? Is the coxal region inferior to the abdomen Can a substance be a Lewis acid without being a Bronsted-Lowry acid?Please argue on it Find the distance between the two points rounding to the nearest tenth (if necessary).(-4,-6) and (-9,6) I need this answer ASAP . ) :bo . . . . . What is the value of g?5+7g=3g+9A.) g=1B.) g = 1C.) g=125D.) g=312 How many solutions does the equation below have.*The answer choices are below* Why was there a need for such extensive organization along the Yellow River? Describe the culture along the Yellow River. When youre multiplying or dividing same sign numbers, what will your product or quotient be? La piscina llena tendra 600.000 litros de agua.Para el tratamiento inicial hay que aadir 10 gramos de cloro por cada 1.000 litros de agua.Si el cloro se vende en botes de 1 kilo.cuantos botes necesitaran Sara y sus abuelos? You start at (-5, -2). You move up 7 units and right 5 units. Where do you end? The results of a survey of 150 students about whether theyown an electronic tablet or a laptop are shown in the two-wayfrequency table. What does the map show about the empire's trade? It traded by both land and sea routes. It traded with people on different continents. It traded most heavily with regions to the east. It traded primarily with Burma and the Tarim Basin. At what age do children start babbling with sophistication?A. ten to twelve monthsB. twelve to twenty-four monthsC. birth to six monthsD. six to ten months How did family life under Prince Shotokus rule reflect Confucian ideals?Women had rights and were equal to their husbands.Children were taught to value individualism over community.People were expected to give up worldly concerns and turn to nature.Households were structured to maintain order, with the husband as head. Which phrase best completes the table?Prehistoric Hunter-Gatherer GroupsAte a varied diet of plants and meatUsed tools made of bone and stoneA. Were ruled by powerful kingsB. Lived in communities with hundreds of peopleC. Made clothes from animal skins0D. Rarely moved to new places there are 9 girls for every 2 boys in art class. if there are 18 girls how many boys are there?