for a fifth order polynomial, if x=a+bi is a root, and x=c+di is a root, how many real roots are there?
A. 1
B. 2
C. 5
D. 3

Answers

Answer 1
1 roots are real.

If x=a+bi is a root then so is x=a-bi and if x=c+di is a root then so is x=c-di and all of those have imaginary numbers so they are not real therefore, there is only one real root.

Related Questions

how do you simplify this?

Answers

Answer:

tan x

Step-by-step explanation:

(tan-x)[sec(pi/2)-x] (sin-x)

We know that tan (-x) = - tan (x)  and sin (-x) = - sin (x)

-(tanx)[sec(pi/2)-x] -(sinx)

(tanx)[sec(pi/2)-x] (sinx)

Using the identity sec = 1/ cos

sec ( pi/2 -x) =1/cos ( pi /2 -x)

We know that cos (s-t)=cos (s) cos(t) + sin (s) sin (t)

1/ ( cos  pi/2  cos x + sin pi/2 sin x) = 1/(0 cos x - 1 sinx) = 1 / sinx

Replacing into the equation

(tanx)[1/ sinx] (sinx)

tan x

Pick < ,< or = to make the statement true. 11 ..... 52/9

Answers

Answer:

11>52/9

Step-by-step explanation:

52/9 = 5.7777....

11> 5.77777....

a rectangular tank is 76cm long, 50cm wide and 40cm high, how many litres of water can it hold?​

Answers

Answer:

Volume of a cuboid or rectangular tank = side × side × side

or

volume of a cuboid or rectangular tank = length× width × height

volume of the rectangular tank = 76 × 50 × 40

volume of the rectangular tank = 152000cm³

Therefore the rectangular tank can hold 152000cm³ litres of water

What’s the common difference for this arithmetic sequence: 23,__,__,50...​

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

The 4th term is the sum of the first term and 3 times the common difference.

  50 = 23 + 3d

  27 = 3d

  9 = d

The common difference is 9.

__

The first few terms are ...

  23, 32, 41, 50, 59, 68, ...

Pls help im in the test i’ll give 50 points

Answers

Answer:

I think it's A

Step-by-step explanation:

the point is touches the y axis is 2

How do horizontal and vertical translations each affect the coordinates of the points on a figure.

Answers

Answer:

Hi there!

Your answer is:

Perform the translation:

x-10

y-3

Step-by-step explanation:

A translation is how many units X moved left/right and how many units Y moved up/down!

In your case, X went left and Y went down! This means there was  a DECREASE in both of these values!

We can determine this by choosing one point and counting how many units it moved.

Lets use the point on figure 1 at (2,5)

Where did it move on figure 2? (-8, 2)

How many units left did it go? 10!

How many units down did it go? 3!

Rigid transformations is preservative of the distance between pairs of points on the figure. Horizontal and vertical translations are rigid motion transformation such that the shape and size of the figure do not change;

The sequence of translation used to move Figure 1 onto Figure 2 is T₍₋₁₀, ₋₃₎

Translate Figure 1, ten units left and three units down to move Figure 1 onto Figure 2

The reason the above sequence is correct is as follows:

Given that translations are rigid motion, we have;

The sequence of translation that will move a point on Figure 1 to the corresponding point on Figure 2 is the same as the sequence of translation used to move Figure 1 to Figure 2

The coordinates of the point on the top right corner of Figure 1 is (6, 8)

The coordinates of the corresponding point in Figure 2 is (-4, 5)

The sequence of translation, T, is given by the difference of the coordinates as follows;

The sequence of translation is T₍₍₍₋₄₎ ₋ ₆₎, ₍₅ ₋ ₈₎₎ = T₍₋₁₀, ₋₃₎

Therefore, the sequence of translation are;

1) Shift Figure 1,  10 units to the left then 2)  Shift Figure 1, 3 units down to move Figure 1 to Figure 2

Learn more about rigid transformations here:

https://brainly.com/question/23461633

i rlly need help im stuck can someone help me out. What the total price?

Answers

Your total price is 312.
Add the price of the trampoline and the sales tax

What is the value of the expression below when w = 2?

Answers

5x2 correct is the answer

Answer:57

Step-by-step explanation:

Una empresa comercial vende automóviles cuyo precio es de S/. 60 000, con una cuota inicial del 20%, para cancelar el saldo en 30 meses de plazo.calcula la cuota fija mensual que se pagará seda empresa cobra una tasa de interés simple del 12% semestralmente

Answers

Responder:

2560

Explicación paso a paso:

Dado lo siguiente:

Precio del automóvil = 60000

Cuota inicial = 20% del precio = (0.2 * 60000 = 12,000

Saldo = (60000 - 12000) = 48000

La empresa cobra un interés simple del 12% cada 6 meses

Periodo de pago = 30 meses / 6 = 5 periodos

Interés simple: p * r * t

= 48000 * 0,12 * 5 = 28800

Por lo tanto, monto total a reembolsar, incluidos los intereses:

Balance + 28800; 48000 + 28800 = 76800

El reembolso mensual es fijo;

Por lo tanto,

76800/30 = 2560

Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer

Answers

Brayden would make the most shots in 30 attempts.

Write the equations of the following lines.

a. The line is parallel to y=3x+2 and passes through the point (0,0).

b. The line is perpendicular to the graph of y=x+1 and passes through the point (1,1).

PLS HELP! THANK YOU!

Answers

Answer:

a. y= 3x

b. y= -x + 2

Step-by-step explanation:

Its the answer

Answer:

b is y=2x-1 and i dont know for a. im also stuck on it

Step-by-step explanation:

how do you work out 7.62 + 5.97 + 3.6 =?

Answers

Answer:

17.19

Step-by-step explanation:

First, you add 7.62 and 5.97. This leaves you with 13.59 + 3.6, and you add these together to get 17.19. That is your answer :)

Which expression is equivalent to 6(x-4)?

Answers

Hope this helps. If not lmk

Part E
After how many years will the investment have a value of less than $2,000?

Answers

Answer:

At year 3 and beyond, The investment will have a value less than $2,000.

t=3.

Step-by-step explanation:

i need help on this​

Answers

X=-4
Y=3

Y=-5x-17
-3x-3y=3
12x+15=3
X=-4

Y=-5(-4)-17
Y=3

SORRY I NEED HELP AGAIN! 5 cans of soda cost $3.75. At this rate, how much do 3 cans of soda cost?
Type your answer here..

Answers

Answer:

So if 5 soda cost $3.75 per can, multiply 3 times $3.75 and that would be your answer:  $11.25

Step-by-step explanation:

What is 11/12 - 5/12
And plz explain step by step.

Answers

Answer:

6/12 or 1/2

Step-by-step explanation:

Since 11/12 and 5/12 have the same denominator (12), I didn't need to worry about anything pertaining to it. And because I didn't need to do anything that had to do with the denominator (12), I just did 11-5 (6), and made it 6/12, which is equivalent to 1/2. Hope this helped!

Answer:6/12

Step-by-step explanation: Step 1

Since our denominators match, we can subtract the numerators.

11 − 5 = 6

So the answer is:

6

12



Jacob's job pays him $12.50 per hour. Which equation can be used to find Jacob's salary,
y, if he works for x hours? *
(5 Points)
A. y = x/12.50
B.y = 12.50 + x
.
C.y = 12.50 - x
D.y = 12.50x

Answers

Answer:

D

Step-by-step explanation:

BECAUSE the number of hrs he works his salary multiplies

hope this helps..

helpp asappp it’s just one question!!!

Answers

Not only she buying candy she getting diabetes
The answer is 9 pounds

Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options
y=-3/4x+1
3x - 4y = -4
4x - 3y = -3
y-2 = -3/4(x - 4)
y+2 =3/4(x + 4)

Answers

Answer:

y = 3/ 4 x + 1

Step-by-step explanation:

A concentrated cleaning solution must be mixed with water in a container that allows users to spray onto the surfaces they need to clean. Pam’s mom asked her to add 30 ounces of cleaning concentrate into the sprayer and then add water to fill the sprayer. Her father told her that the sprayer must contain 20% cleaning concentrate and 80% water.


a. How many ounces does the sprayer hold?
ounces

b. How much water was added to the sprayer?
ounces

Answers

Answer: The sprayer can hold 150 ounces, and Pam needs to add 120 ounces of water.

Step-by-step explanation:

The data that we know is:

We must use 30 oz of cleaning concentrate.

The end product must be 80% water and 20% cleaning concentrate.

This means that:

Mass of water/total mass in the sprayer = 0.8

mass of cleaning concentrate/total mass in the sprayer = 0.2

Then, let's define the variables:

X = ounces that the sprayer can hold.

Y = ounces of water added.

Then we have the equations:

30oz + X = Y.

30oz/Y = 0.20

X/Y = 0.80

From the second equation we can find the value of Y.

30oz = 0.20*Y

30oz/0.20 = Y = 150oz.

Then the sprayer can hold 150 ounces.

Now from the third equation we have:

X/Y = 0.8

We know that Y = 150oz

Then:

X/150oz = 0.8

X = 0.8*150oz = 120 oz.

Then the water that must be added is 120 ounces.

Rewrite the following equation in slope-intercept form. 6x - 3y = 19​

Answers

Answer:

y= 2x - 19/3

Step-by-step explanation:

6x-3y=19

3y=6x-19

y=2x- 19/3

slope: 2

y-intercept: -19/3

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam?

Answers

Given :

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.

To Find :

The total number of questions on Stephanie's exam.

Solution :

Let, number of questions in Part 1 is x :

[tex]16=\dfrac{4}{5}x\\\\x=20[/tex]

Let, number of questions in Part 2 is y :

[tex]16=\dfrac{2}{3}y\\\\y=24[/tex]

Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.

Hence, this is the required solution.

Courtni is multiplying 3.2 x 30. Explain how Courtni can use expanded form
and properties of multiplication to solve this problem mentally. What is the
product of 3.2 x 30?

Answers

If we multiply 3.2 x 30, the answer is 96.

Write a system of linear equations that has (-4, 8) as the solution. Once you have made your system of equations, solve it algebraically to show that you do indeed get the solution (-4, 8).

Answers

Answer:

See below

Step-by-step explanation:

(-4, 8) has to be the solution.

1st equation: -4x+8y = 1

2nd equation: 8x - 4y = 1

These should work. Do the matrix-substitution combo method to see:

-4  8  1

.8 -4  -1

Reduce and and matrix-substitution combo:

1 0 -4

0 1  8

The reduced eckerd form of the matrix shows that the solutions are (-4, 8)

Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.

Composite functions
g(d) = 2d - 5
h(d) = -4d +3
Find (hºg)(d)

Answers

Answer:

[tex](h\circ g)(d)=-8d +23[/tex]

Step-by-step explanation:

Composite Function

Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

[tex](h\circ g)(d)=h(g(x))[/tex]

For practical purposes, it can be found by substituting g into h.

The functions g and h are given as:

[tex]g(d) = 2d - 5[/tex]

[tex]h(d) = -4d +3[/tex]

Substituting g into h:

[tex](h\circ g)(d)=-4(2d - 5) +3[/tex]

Operating:

[tex](h\circ g)(d)=-8d +20 +3[/tex]

[tex]\boxed{(h\circ g)(d)=-8d +23}[/tex]

Please help!

Jill's father is a pilot. The airplane he flies can carry 396 passengers. If each passenger is allowed to take 60 pounds of luggage, how many total pounds can the plane carry in luggage?

Answers

Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

What is the greatest common factor of 16 and 13

Answers

Answer:

1

Step-by-step explanation:

The only factor they have in common is 1

The 7th grade class experienced a 15% decrease in enrollment.Last year,the 7th grade class had 280 students. How many how many students are enrolled in the 7th grade this year?

Answers

Answer: 238

Step-by-step explanation: 10% of 280 is 28. 1% of 280 is 2.8. Multiply 2.8 times 5 and you get 14. Add 10% and 5% (28+14) and you get 15% which is 42. Subtract 42 from 280 and you get 238.

Answer:

232 students are enrolled this year.

Step-by-step explanation:

Since 15% of the enrollment of the previous year is gone, you must take 15% of the total number of students and subtract that from the total number of students.

[tex]280*0.15=42[/tex]

This tells us that the 15% decrease means there are 42 fewer students enrolled this year. Now you would just subtract 42 from 280.

280 - 42 = 232

1
The price of a video game was reduced from $60 to $45. By what percentage
was the price of the video game reduced?

А
15%
B
75%
C
25%
D
40%

Answers

Answer:

C, 25%

Step-by-step explanation:

25% = 1/4

1/4 of 60 = 15

60 - 15 = 45

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