the polynomial y = x^{5} + x^{3} - x^{2} - 1 factors into (x^{2} + 1) (x^{3} - 1). what is the multiplicity of the root (x^{3} - 1)?

Answers

Answer 1

Answer:

The multiplicity of the root is 1

Step-by-step explanation:

Firstly, we need to understand what multiplicity is

By multiplicity, we simply refer to the number of times we have the certain root repeating itself

From the factorization, each of the given roots were only repeated once

That indicates that the given multiplicity is 1


Related Questions

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.

Answers

she will need two more hours to buy the dress

This is how many hours you will need 5 hours

IM SO TIRED CAN SUM1 HELP PLS.

Answers

Answer:

a. $250

b. 50x + 200

Step-by-step explanation:

a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.

b. the 200 is only a one time fee so you add it on to months(x)

Answer:

a. 250$

b. 200+50x

Step-by-step explanation:

#1 What is the total cost to use the cell phone plan for one month?

GIVEN:

Startup price=$200

Charge per month=50$

SOLVE:

The total cost for one month will be the startup price+ charging price for one month.

200+50=250$

#2 What is the total cost for x months?

The total cost for x months will be the startup price+charging price for x months.

200+50x

Hope this helps!! :)

Please let me know if you have any questions

can someone please help me.

Answers

Answer:

y=70° x=11

Step-by-step explanation:

.............ur welcome...........

The ordinate of every point on the x-axis is zero. True or false?

Answers

Answer:

true

Step-by-step explanation:

the first number is mostly known as 1 but actually is 0 because it is a separation between the negative and positive numbers

help this is khan academy

Answers

Answer:

20

Answer:

20

Step by step:

v = l × w × h

v = 2 × 2× 5

v = 4 × 5

v = 20

What is the following difference?
11 inverse 45 -4 inverse 5

Answers

He’s correct good job!

Can one of you guys help me

Answers

It would be 12 because for every 8 carts we have 3 carts with 4 items. So if we add 24 to 8 we get 32 carts. We can set up a ratio of 3/8=x/32
We get 32*3/8x and that is 12

Find the measure of CGD.

Answers

Answer:

23°

Step-by-step explanation:

For this scenario say point G is the center point,

If we look to the left, we see angle FGE has a value of 23

and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same

so therefore angle CGD should be 23 degrees

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units

Answers

Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ3

The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

la suma de los cuadrados de dos numeros​

Answers

what? i’m confusedd?

What is the equation of the line that has a slope of 0 and passes through the point (6, -8)?

Answers

Answer:

your answer will be J. Y=-8

Step-by-step explanation:

Y=mx+b (6, -8)

(-8)= 0(6) +b

(-8)= 0+b

(-8)= b

Y=0(6)-8

y=-8

What is the surface area of the cylinder with height 6 in and radius 7 in? Round your answer to the nearest thousandth.

Answers

Answer:

571.77

Step-by-step explanation: I might be wrong so don't really trust me

A rectangular prism has a volume of 175 in'. The height of the prism is 7 in. The base is a square. What is the length of a side of the base?​ please help

Answers

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

B=V:H

B=175:7

B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

a=5cm

I hope this helps.

Help me please!!! I’ll mark brainliest!!

Answers

Answer:

all the answers are c on that test my teacher did that same exact test

Step-by-step explanation:

mark brainliest!

What is the reference angle of 255°?​

Answers

Answer:

255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees

Step-by-step explanation:

plz give some one answrer​

Answers

Answer:

x=120 (opp. angles of //gram)

Step-by-step explanation:

Because DA//CB and AB//DC (given)

Therefore ABCD is a parallelogram (opp. sides equal)

Therefore,

∠DAB = ∠DCB (opp. ∠s of //gram)

x = 120

Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: If the product of x and 3 is y, write an equation to represent the relationship between the two variables.

Part B: Explain your work in Part A.

Part C: Create a table of values to display five solutions to the equation. Write the solutions as ordered pairs.

Answers

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.


PLEASE HELP!!!
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.

This is not the line of best fit because the line ____________.
A.) Is close to the data points
B.) does not fit every data point exactly.
C.) Is not through the middle of the data points.

Anna could get a better fit by _____
A.) Decreasing
B.) Increasing
C.) Keeping

the y-intercept and ______ the slope.
A.) Decreasing
B.) Increasing
C.) Keeping

Answers

Answer:

1st question:  C

2nd question: Increasing (the slope)

3rd question:  don't understand what's being asked

Step-by-step explanation:

Answer:

the answers are

Step-bythe answers are -step explanation:

1.C

2.a

3.B

john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month

a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode

Answers

There is not enough information to give an answer you do not inform us of how much money needs to be put into this pension fund. That information is needed to solve.

Anyone know how to do this?

Answers

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

Whoever helps me will have a good day and maybe get kissed by your crush

Answers

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

16 sry i’m i’m wrong btw

Which of the following statements are true?


A) 3 lbs of sugar is sugar is required to make 60 muffins.


B) 120 lbs of sugar is required to make 6 muffins.


C) 0 lbs of sugars required to make 0 muffins.


D) The maximum number of muffins that can be made is 220

Answers

Answer:

C

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

Which equation describes the table shown:
Plzzzzzz i need help

Answers

Answer:

y=1x+2

Step-by-step explanation:

so 1x when x equals 2               1 x 2 =2+2 +=4

Y=1x+2!!! Plug in the x part of the chart :)

A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50

Answers

Answer:

b

Step-by-step explanation:

WILL GIVE BRAINLIEST
The diagonals of a quadrilateral are 12 and 10. Is
this a parallelogram rectangle? Explain your answer

Answers

Answer:

the answer is no.a parallelogram is not a rectangular but the opposite is true. the reason is a cause of parallelogram's diagonals.they might not be equal in parallelogram but in rectangular they must be equal.

Step-by-step explanation:

Answer:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. So yes it is a parallelogram.

Step-by-step explanation:

Diagonals of parallelogram are not necessarily equal. This is a known property of a parallelogram. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram. If all sides are equal then, opposite sides are also equal.

Evaluate:
Σ18/1 (5n– 4) = [? ]

Answers

Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.

I will get you started.

Let n = 1 and then n = 2.

5(1) - 4 + 5(2) - 4 + the rest

5 - 4 + 10 - 4 + the rest

1 + 6 + the rest

7 + the rest

Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.

Form and solve an equation for .
5x - 7
23

Answers

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

53+2444= ??????? HELP I D K THE ANSWER

Answers

Answer:

2497

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

53 + 2444

= 0053 + 2444

= 2497

Pls Help Asap pls T^T

Answers

Answer: think its c

Step-by-step explanation:

I believe the answer is 18%

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