Which of the following statements about closure is false?

Polynomials are closed under addition. When you add polynomials, the result will always be a polynomial.
Polynomials are closed under subtraction. When you subtract polynomials, the result will always be a polynomial.
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
Polynomials are closed under multiplication. When you multiply polynomials, the result will always be a polynomial.

Answers

Answer 1

Using the concept of closure, it is found that the false statement is given by:

Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

What is the closure of a polynomial?

A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and  multiplication operations.

As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.

More can be learned about closure of polynomials at https://brainly.com/question/9438778


Related Questions

Zarea finds 3^√6000 and shows her work below. 3^√6000 = 3^√? x 3^√6 = 10 ^3√6 what is the missing value?

Answers

Answer:

  ? = 1000

Step-by-step explanation:

Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.

  [tex]\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}[/tex]

The missing value in Zarea's work is 1000.

Log(x^2)+log(x^3)/log(70x)=4​

Answers

Answer:

x=24010000

Step-by-step explanation:

Log(x^2)+log(x^3)=log(70^4x^4)

Log(x^2x^3)=log(70^4x^4)

x^2x^3=70^4x^4

x^5=70^4x^4

x=70^4=24010000

The figure below is made of 2 rectangular prisms.
What is the volume of this figure?

Answers

Answer:

1800.

Step-by-step explanation:

First: split the figure into 2:

(5 * 9 * 2)*(5 * 4)

Then, solve the first:

5 * 9 * 2= (5 * 9) * 2= 45 * 2= 90

Next, solve the second part:

5 * 4= 20

Finally, multiply both parts:

90 * 20= 1800.

Answer is 1800.

The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39cm what is the radius of the small circle

Answers

You just multiple my guy. 2:3 is like 2/3. What is 2/3 of 39
39*2/3 = 26

Determine whether the question is a statistical question.
a
How many pages are in the favorite books of students your age?

Answers

Answer:

1-100 pages are in the favorite books of my age

Question is in picture

Answers

Answer:

If the candy was in whole of in peices

Step-by-step explanation:

A dependant variable is something you do to change a result, so breaking tha candy would be the dependant variable because they werre trying to see if breaking the candy would lead to diffrent results.

Just so you remember for next time:

an Indipendent variable is something that is constant that we can not change

and a dependent variable is something that we change to get a diffrent response.

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 4 minutes. Using the empirical rule, determine the interval of minutes that the middle 95% of customers have to wait.

Answers

The middle 95% of customers have to wait for 18 to 34 minutes at the resturant.

What is the empirical rule?

The empirical rule states that for a normal distribution. 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean

Given a mean of 26 minutes and a standard deviation of 4 minutes. Hence:

95% are within 2 standard deviations = 26 ± 2(4) = (18, 34)

The middle 95% of customers have to wait for 18 to 34 minutes at the resturant.

Find out more on empirical rule at: https://brainly.com/question/10093236

in problem 53-56, write a system of linear inequalities for the given graph

Answers

Answer:

hombre by. h God j inc. hchhhi

Use the quadratic formula to find both solutions to the quadratic equation given below.

x^2 + 6x = 27

A. x = -9

B. x = -6+√27/2

C. x = -6-√27/2

D. x = 3

E. x = -1

F. x = 3-√-7/2

Answers

A. x = -9

__________

D. x = 3

__________

NO LINKS!! Please help with this problem​

Answers

Answer:

EI = 30

GH = 30

RS = 10

Step-by-step explanation:

Given:  PQRST ~ HGFEI

From inspection of the diagram, the corresponding sides are:

RS ~ FE

ST ~ EI

TP ~ IH

QP ~ GH

QR ~ GF

The only pair of sides that both have side lengths are QR and FG.  Therefore, we can use these to work out the scale factor of dilation.

QR = 8   and   GF = 20

⇒ GF/QR = 20/8 = 2.5

Therefore, HGFEI is an enlargement of PQRST by a scale factor of 2.5

If ST = 12,

⇒ EI = 12 x 2.5 = 30

If QP = 12,

⇒ GH = 12 x 2.5 = 30

If EF = 25,

⇒ RS = 25 / 2.5 = 10

If IH = 15,

⇒ TP = 15 / 2.5 = 6

Answer:

See below ~

Step-by-step explanation:

As they are similar, find the scale factor.

QR ~ GF8 : 202 : 5

Finding EI

ST ~ EIST : EI = 2 : 5EI = 5 x 12 / 2 EI = 30

Finding GH

QP : GH = 2 : 5GH = 5 x 12 / 2GH = 30

Finding RS

RS : FE = 2 : 5RS = 2 x 25 / 5RS = 10

OAB is a triangle
OA = 4a and OB = 5b
M is the midpoint of OB
AN:NB = 2:3
Find OP:PN

Answers

Answer:

5:2

Step-by-step explanation:

ON = OA + AN

AN = 2/5AB

AB = 5b-4a

AN = 2b - 8/5a

ON = 4a - 8/5a +2b

ON = 12/5a+2b

OP = k(12/5a+2b)

OP = OA + AP

AP = x(AM)

AM = 5/2b-4a

OP=4a-4ax+5/2bx

OP=4a-4ax+5/2bx and OP=12/5ak+2bk

Coefficients of A

4-4x=12/5k

k=(20-20x)/12

Coefficients of B

5/2x=2k

k=5/4x

(20-20x)/12 =5/4x

20=35x

x=4/7

k=5/4 * 4/7 = 5/7

OP=k(ON)

OP = 5/7

PN = 2/7

OP:PN = 5:2

I figured it out after posting the question, typing from a different account. I hope this helps somebody.

The minute hand of a clock turns 180° in how many minutes? A. 60 B. 45 C. 30 D. 20 E. 15​

Answers

Answer:

30 Minutes is the answer

Step-by-step explanation:

Since 360 degrees =60

Then 180 degrees =30

Answer: 30

Explanation: 90 degree wold be 15 min then it would be 30 min

can some one tell me answer

Answers

Answer:

d = 3.4

Step-by-step explanation:

d × 5 = 17

Divide by 5 from both sides,

[tex]\frac{d(5)}{5}=\frac{17}{5}[/tex]

d = 3.4

triangle MNO is an isosceles triangle in which only one angle measures 88.6. what is the angle measure of one of the two congruent angles?

Answers

Answer:

45.7°

Step-by-step explanation:

area of a triangle= 180°so,180- 88•6=91•4since the congruent angles are equal,you will divide 91•4 by 291•4÷2=45•7ans=45•7°

$7,000 compounded semiannually at a rate of 10% for 21 years

Answers

Answer:

$ 54 331.11

Step-by-step explanation:

21  years semi-annually is 42 periods

interest rate per period = 10% /2 = .10 /2 = .05

7000 (1 + .05)^42 =

help me with this pls

Answers

Volume of sphere is 4/3* pi*r^3

r is half of diameter. So 5.25 in this case

Plug It in.

Becomes ~606.13

All answers are wrong. Closest one is 605.8

Susan is six years older than
Beth. In four years, Susan will
be twice as old as Beth. How
old is Susan now?

Answers

Answer:Susan is eight years now

Step-by-step explanation:

Which inequality symbol has a open circle

Answers

Answer:

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to". The solution set for this problem will be all values that satisfy both -3 < x and x < 4.

list the members of 2 greater than or equal to 12​

Answers

It 2 it is greater then 12 it can not equal

The concentration of a drug t hours after being injected is given by C ( t ) = 0.6 t t 2 + 30 . Find the time when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.

Answers

Answer:

5)9):3=12

Step-by-step explanation:

yan na yung sagot sana makatulong

Which statements are correct? Check all the apply.
Variable d is the independent variable.
Variable h is the independent variable.
The number of hours worked causes a change in the number of dollars earned.
Variable d is the dependent.
The number of dollars earned causes a change in the number of hours worked.
Variable h is the dependent variable.
The more hours are worked, the fewer dollars that are earned.

Answers

Answer:

Step-by-step explanation:

1) wrong

2) Right

3) Right

4) Right

5) Wrong

6) Wrong

7) Wrong

Asappp!!!!! What is the measure of line segment AC

Answers

Im not good at explanations and I tried to give you one but I can’t word things but I believe it’s 20 cm

Find the dimensions of a rectangle (in m) with perimeter 76 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.)

Answers

Answer:

19,19

Step-by-step explanation:

It will be a square

76 / 4 = 19 m sides

Give the equation the circle (X+5)^2+(y-1)^2=16, which correctly gives the center and radius of the circle

Answers

Answer:

Step-by-step explanation:

You have:

[tex](x+5)^2+(y-1)^2=16[/tex]

[tex](x+5)^2+(y-1)^2=4^2[/tex]

To find the center of the circle, you want to find the 'x' and 'y' values which make their respective term equal zero:

[tex](x+5)^2=0[/tex]

[tex](y-1)^2=0[/tex]

[tex]x=-5[/tex]

[tex]y=1[/tex]

The radius of the circle would be 4 due to the right side of the circle equation. Our circle is centered at (-5, 1) and has a radius of 4 units.

If 3 is subtracted from 5 times a number, the result is the same as 9 added to the number. Find the number.


A.)4

B.)-4

C.)3

D.)-3

Answers

Answer:

c).3

Step-by-step explanation:

let the number be x

5x-3=x+9

collect like terms

5x-x=9+3

4x= 12

divide both sides by 4

x=3

the number is 3

HELP HELP HELP HELP HELP PLEASE

Answers

Answer:

A) 50; B) 48% C) 5-9 and 10-14 D) 8%

Step-by-step explanation:

The total lines are all the lines per bar summed up.

To get percentages, simply take the number of lines the bar represents, divide it by 50 (the total lines), and multiply it by 100 (to convert from decimal to percent).

Martin Office Supplies paid a $6 dividend last year. The dividend is expected to grow at a constant rate of 7 percent over the
next four years. The required rate of return is 20 percent (this will also serve as the discount rate in this problem). Use Appendix
B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
a. Compute the anticipated value of the dividends for the next four years.
Anticipated Value
D1
D2
D3
D4

Answers

The anticipated value of the dividend in:

Year 1  is $45.86

Year 2 is  $49.07.

Year 3 is $52.50.

Year 4 is $56.18.

What is the anticipated value of the dividend?

The formula that can be used to determine the value of the dividend is:

Value = dividend paid last year x (1 + growth rate^number of years)  / (required return - growth rate)

D1 = ($6 x 1.07) / (20% - 7%) = $45.86

D2 = ($6 x 1.07²) / (20% - 7%) = $49.07

D3 = ($6 x 1.07³) / (20% - 7%) = $52.50

D4 = ($6 x 1.07^4) / (20% - 7%) = $56.18

If a student wants to multiply by 8 they can?

A. Multiply by 2 three times
B Multiply by 2 four times
C Multiply by 4 twice
D Multiply 2 and multiply by 4 and add them together

Answers

The answer is A because 2^3 or 2x2x2=8. So if you multiply a number by 2 three times it would be the same as multiplying a number by 8.

Hello Brainly user,

A. Multiply by 2 three times if you want to multiply by 8.

Proof:

For example, if you want to multiply 2 by 8 --> 2x8  then you can just do 2x2 = 4  4x2 = 8  8x2 = 16.

TO CHECK:

You can do 8x2 = 16.

Hence, this answer is 100% correct.

What is 9 x (8 + 5) - 3?
Also please read the comments, please.

Answers

Answer:

114

Step-by-step explanation:

following order of operations, we have to do parenthesis first

9 x (8+5) - 3=

9 x 13 - 3

since we have no exponents, we multiply next

117-3

finally, we subtract and get our answer

114

Answer:

The answer is 114

Step-by-step explanation:

search up "Calculator" and type in this problem, and thats how you get 114

lol basically I used a calculator so that's how ik its correct

what is 9.789 in word form?​

Answers

Answer:

nine and seven hundred eighty-nine thousandths

Step-by-step explanation:

....

Answer:

nine and seven hundred eighty-nine thousandths

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

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