Ms. Adams claims that the closure properties for polynomials are closed when dividing polynomials. Mr. Aroxa claims that the closure properties for polynomials are not closed when dividing polynomials. Who is correct? Explain your answer.

Answers

Answer 1

Answer:

Mr. Aroxa is correct.

Step-by-step explanation:

Since we know that polynomials are closed under addition, subtraction and multiplication as when we will add, subtract or multiply two polynomials we will get a polynomial.

Polynomials are not closed under division because division of two polynomials is not necessarily a polynomial.

We can see it by dividing a binomial by a trinomial. This division will result in a rational expression and it will have negative exponent. Negative exponents are not allowed in polynomials.

Therefore, Mr. Aroxa is correct.





Related Questions

Name the property of real numbers illustrated by the equation 5(x-3)=5x-15

Answers

This is known as the distributive property.

When you have a number outside of parentheses, (typically when there's a variable either inside or outside the parentheses), you can apply the number outside the parentheses to each term inside the parentheses, and the answer will still be equal.

Distributive Property is your answer.

In the case of "5(x - 3)", the parenthesis cannot be simplified, because you cannot combine a number and variable. To simplify, you must distribute the outside number (5), too all terms within the parenthesis

5(x - 3) = 5(x) + 5(-3)

Simplify.

5(x) = 5x

5(-3) = -15

5x - 15 is the answer (true, it makes the equation true)

Distribute Property is your answer


~Rise Above the Ordinary, Senpai

In a 72 room, I poured 180 coffee into a mug at 7:30 am and it reached 150 after 2 minuter find the constant of cooling for the coffee.

Answers

It cools at 15° per minute

Hannah reads at a constant rate of 3 pages every 8 minutes.
Write an equation that shows the relationship between p, the number of pages she reads, and m, the number of minutes she spends reading.

Answers

Answer:

[tex]m=\dfrac{8}{3}p[/tex]

Step-by-step explanation:

[tex]\begin{array}{ccc}3\ (pages)&-&8\ (min)\\p\ (pages)&-&m\ (min)\end{array}\qquad|\text{cross multiply}\\\\p\cdot8=3\cdot m\qquad|\text{divide both sides by 3}\\\\m=\dfrac{8p}{3}[/tex]

The equation is:

number of pages=reading speed×number of minutes

          p               =          3/8          ×                  m

The correct answer is

p=3/8 m

Even though there’s a homework help button it doesn’t help me one bit I need help rn☠️

Answers

There are 10 marbles total.


You picked a marble and replaced it 50 times, so you have:


9/50 were purple


16/50 were orange


6/50 were yellow


19/50 were green



Multiply those by the number of marbles:


10*9/50 = 1 4/5 purple, round to 2


10*16/50 = 3 1/5 orange, round to 3


10*6/50 = 1 1/5 yellow, round to 1


10*19/50 = 3 4/5 green, round to 4


2+3+1+4 = 10  


So you can say that there are 2 purples, 3 oranges, 1 yellow, and 4 green marbles.




Solve for x. x+2/3=−1/6 Enter your simplified answer in the box. x =

Answers

Im pretty sure your awnswer will be, x=−5/6




Subtract 2/3 from both sides.

x+2/3−2/3=−1/6−2/3

x=−5/6




Best of luck, terribly sorry if im wrong if i am my apologies





~Animaljamissofab ♥

In one week, a campground rented 18 cabins at $225 each. About how much did they collect in rent altogether?

Answers

$4050, multiply 18 by 225 for your answer

Find the sum of the given polynomials.

3x 2 + 2x - 5 and -4 + 7x 2

1. -x2 + 9x - 9
2. 21x2 + 2x + 20
3. 10x2 - 5x - 1
4. 10x2 + 2x - 9

Answers

Number 4 is your answer

Answer:

the real answer is 10x^2 + 2x − 9

true of false the first distribution shown below has a smaller standard deviation than does the second distribution. 11,12,13,14,15,16,17,18,19,20,21,22,111,112,113,114,115,116,117,118,119,120,121,122

Answers

false becasue 11,12,13,14,15,16,17,18,19,20,21, and 22 is bigger and 111,112,113,114,115,116,117,118,119,120,121, and 122 is smaller.

Answer:

False

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

[tex]Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}}[/tex]

where, [tex]\bar{x}[/tex] is mean of the distribution.

Here, First distribution is 11,12,13,14,15,16,17,18,19,20,21,22

and Second distribution is 111,112,113,114,115,116,117,118,119,120,121,122

The mean of first distribution is 16.5

and mean of second distribution is 116.5

So the standard deviation of first distribution is 3.605

and the standard deviation of second distribution is 3.605

Hence, standard deviation is same for both distribution.

Chef Morgan's restaurant has 24 tables 15 of the tables have one flower and each base the remaining tables have five flowers in each face how many flowers are there

Answers

The correct answer is

60 Flowers

HELP 1/7z+2=-6/7z what’s the solution set please send help I’m suffocating under homework

Answers

Isolate the z. Note the equal sign. Subtract 1/7z to both sides

1/7z (-1/7z) + 2 = -6/7z (-1/7z)

2 = -6/7z - 1/7z

Simplify. Combine like terms

2 = -7/7z

2 = -1z

Isolate the z. Divide -1 from both sides

(2)/-1 = (-1z)/-1

z = 2/-1

z = -2

-2 is your answer

hope this helps

PLEASE HELP THIS IS DUE TOMORROW

The change in temperature from 8am to 8pm is 4 degrees. The temperature at 8pm was -5 degrees. What is the temperature at 8am?

Answers

It was -1 degrees I think

it's basically -5 plus 4

Which is -1

The temp. at 8am is -1 degrees.

I need help on this one!!

Answers

We know 15 minutes contain 15*60 = 900 seconds, the time for 85 blinks

Then the time for each blink t = 900/85

Time elapsed in seconds for 51 blinks is then 51*t = 900*51/85 = 540 seconds

As the answer wants to know the seconds, find the seconds. 15 * 60 = 900. We know he blinks 85 times in 900 seconds, so divide 900 by 85 to find the rate at which George blinks. 900 / 85 = 10.588. Multiply 10.588 by 51 to find the number of seconds for 51 blinks. 51 * 10.588 = 539.988.

fill in the blank to make the two fractions equivalent.

Answers

The answer is 20. Its there but erased
7*5=35 ,so you must do the same with the numerator to make it equal it would be 4*5=20. The Answer is 20/35

Which statement about this equation is true?



5(n+10)=5n+10n



The equation has one solution.

The equation has no solution.

The equation has a few solutions.

The equation has many solutions

Answers

The equation has no solution because:

5(n+10)=5n+10n
5n+10n=5n+10n
I subtract 5n from both sides
10n=10n
Only one side is supposed to have the variable which is n, so the equation has no solution.

8. The amount of a person’s paycheck p varies directly with the number of hours worked t. For 22 hours of work, the paycheck is $126.50. Write an equation for the relationship between hours of work and pay.

Answers

First you would need to find out how much there are paid by the hour, which in this case is $5.75. So the equation would be 5.75t = p, then insert the 22 hours of work to the equation 5.75(22) = p, last solve the answer by mutiply the 5.75(22) which equals 126.50. .

Which ordered pair is a solution of the equation?

y=-3x-4
Choose 1 answer:

(Choice A)
A
Only (-2,4)

(Choice B)
B
Only (-3,5)

(Choice C)
C
Both (-2,4) and (-3,5)

(Choice D)
D
Neither

Answers

It’s B because 5 = -3(-3) - 4
5=9-4
Just plug in the numbers and see what works

Answer:

B.- Only (-3,5)

Step-by-step explanation:

In an ordered pair the first coordinate is the [tex]x[/tex] coordinate, and the second coordinate corresponds to the [tex]y[/tex] coordinate.

Then we must substitute the given value of [tex]x[/tex] in the equation and verify that we get in return the defined value for [tex]y[/tex].

the options are

[tex](-2,4)[/tex]

in this one [tex]x = -2[/tex], and [tex]y=4[/tex], so let's confirm:

[tex]y=-3x-4\\y=-3(-2)-4\\y=-6-4\\y=2[/tex]this is not a solution since the [tex]y[/tex] values are not the same.

[tex](-3,5)[/tex]

in this one [tex]x= -3[/tex] and [tex]y=5[/tex], let's also confirm:

[tex]y=-3(-3)-4\\y=9-4\\y=5[/tex]in this one the values for [tex]y[/tex] are equal, this is a solution for the equation.

What is the difference between a linear function and a nonlinear function? And what each looks like when represented as a table and as a graph

Answers

A linear function has points leading up or down in more of a line.  nonlinear is more scattered.                                                                                                                             Hope this helps!

Answer:

Sample Response: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.

A linear function has a constant additive rate of change.

A nonlinear function does not have a constant additive rate of change.

The graph of a linear function is a straight line, while a nonlinear graph is curved.

The dependent variable in a linear table has a constant additive rate of change as the independent variable increases by 1.

Step-by-step explanation:

help me plz !!!!!!!!!!!!!!!!

Answers

the three in the answer should be a 4. otherwise it would be 12 not 16

13 + 11s = -15 + 8s − 20

Answers

Answer,

S = -16

Explanation,

Step 1: Simplify both sides of the equation.

13 + 11s = − 15 + 8s − 20

13 + 11s = − 15 + 8s + − 20

11s + 13 = (8s) + (− 15 + − 20) (Combine Like Terms)

11s + 13 = 8s + − 35

11s + 13 = 8s − 35

Step 2: Subtract 8s from both sides.

11s + 13 − 8s = 8s − 35 − 8s

3s + 13 = − 35

Step 3: Subtract 13 from both sides.

3s + 13 − 13 = − 35 − 13

3s = − 48

Step 4: Divide both sides by 3.

3s/3 = −48/3

s = -16


Hope this helps :-)


Choose the point-slope form of the equation below that represents the line that passed through the point (6,-3) and has a slope of 1/2
A. Y-6=1/2(x+3)
B. Y=1/2x-6
C. Y+3=1/2(x-6)
D. X-2y=12

Answers

Answer:

C. y + 3 = 1/2(x - 6)

Step-by-step explanation:

y - y₁ = m(x - x₁)

x₁ = -3

y₁ = 6

m = 1/2

y - (6) = (1/2)(x - (-3))

y - 6 = 1/2(x + 3)

Answer:

C. y + 3 = 1/2(x - 6)

Step-by-step explanation:

What percent of the first 10 natural numbers are prime numbers? Answer in a percent please.
:)

Answers

So the first 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Since a prime number is only divisible by 1 and itself and greater than 1, our answers are 2, 3, 5, and 7. That's 4 numbers, or 4/10=0.4 of the 10. Since percentage is based out of 1, we can multiply 0.4 by 100 to get 40%. I hope that Helped :)


2 x + y equals negative 9

Answers

Answer:

2 x + y = 9

Hope this helps :-)


2x + y = -9
To find y:
Subtract 2x from both sides
y = -2x -9

Lesson 7 add three digit numbers 178+99= estimate

Answers

178+99=277

you can estimate

200+100=300

or

180+100=280

depends on what your teacher is looking for

Our exact sum is 277.

Understanding Addition of Three-Digit Numbers

When it comes to adding three-digit numbers such as 178 and 99, it's essential to align the numbers by their place values before adding. This aligns ones with ones, tens with tens, and hundreds with hundreds. An estimate helps to quickly determine an approximate sum before or after performing the addition.

Example Calculation:

To add 178 and 99, place them in vertical alignment:

7 (tens) + 9 (tens) + 1 (carried over) = 17. Write down the 7, carry over 1 to the hundreds place.

1 (hundred) + 1 (carried over) = 2.
So, the sum is 277.

To estimate the sum of 178 and 99, you could round 99 up to 100 for easier calculation. The estimated sum would then be 178 + 100 = 278, which is very close to our exact sum of 277.

How do I describe each pattern in words
13, 23, 33, 43

Answers

the pattern is added in 10 like 13 + 10=23

Gotcha!

As a whole, the pattern is +10. 13 to 23 you add 10. 23 to 33 you add 10. 33 to 43 you add 10. That's the best explanation.


What is the answer?

Markers are sold in boxes, packs, or as single markers.Each box has 10 packs. Each pack has 10 markers

Answers

There are 100 markers in each box, since one pack has 10 markers, and there are 10 packs inside the box, so you'd simply multiply 10 times 10 to get 100

Well each box has 100

but I don't understand what answer you are talking about. Sorry

HELP AGIAN PLEASE
THANK YOU AGIAN!!

Answers

A is probably the most reasonable answer, of course it depends what situation you're in.

Logicly speaking, the phone would go to voicemail after about 30 seconds.

Echy~

It would be choice A (seconds) because everyone answers their cell phone within seconds (if they aren't at work or something) but it would be the most resonable answer choice listed!

At Binh's Greenhouse in early spring, there are many greenhouse plants to repot and many outside plants to water. If it takes Binh 5 minutes to repot each plant and 2 minutes to water each plant, and he has at most 2 hours before the greenhouse opens, what inequality represents the time Binh has to repot and water the plants before the greenhouse opens? Let x represent the number of plants to repot, and y represent the number of plants to water.

Answers

2*y + 5*x < 2 hours But the units are not the same. The left side contains minutes and the right hours.

2y + 5x < 2*60

2y + 5x < 120 <<<<< Answer

Answer:

5x + 2x < 120

Step-by-step explanation:

Given:

Binh takes 5 minutes to repot each plant and 2 minutes to water each plant.

He has at most 2 hours.

Here "at most" represents by the inequality "<"

Let's convert 2 hours into minutes.

1 hour = 60 minutes

2 hours = 2×60 minutes = 120 minutes

Let x represent the number of plants to repot, and y represent the number of plants to water.

So, the given situation represented by

5x + 2x < 120

A contractor wants to replace the baseboard of a room whose length is 15 feet and width is 6 feet. How much will the baseboard cost if the material they will use is $5 per foot ?

Answers

It will cost $18.

15*6=90

90/5=18

It will cost $18.

The cost of the baseboard for $5 per foot whose length is 15 feet and width is 6 feet will be $ 210.

Given that:

Length of the baseboard = 15 feet

Width of the baseboard = 6 feet

The total space occupied by the baseboard can be calculated using the perimeter of the baseboard.

The perimeter of a rectangle can be calculated using the formula:

[tex]Perimeter = 2 \times(Length + Width)[/tex]

                   = [tex]2 \times(15 + 6)[/tex]

                  = [tex]2 \times 21[/tex]

                  = 42 feet

The cost of the baseboard can be calculated by multiplying the total length (42 feet) by the cost per foot ($5)

[tex]Cost \ of \ baseboard = Total\ length\times Cost \ per \ foot[/tex]

=[tex]42 \times 5[/tex]

= $210

Therefore, the cost of the baseboard for the room would be $210.

Learn more perimeter of a rectangle here:

https://brainly.com/question/15401834

#SPJ4

A consumer analyst reports that the mean life of a certain type of alkaline battery is no more than 63 months. Write the null and alternative hypotheses and note which is the claim.

Answers

Solution-

The given statement,

the mean life of a certain type of alkaline battery is no more than 63 months.

Every hypothesis test carries two opposing statements, or hypothesis, about a population parameter. The first hypothesis is called the null hypothesis.

Null hypothesis always states that the population parameter is equal to the claimed value.

If the null hypothesis is rejected, then the alternative hypothesis is going to be claimed.

[tex]\text{Null hypothesis}=H_0:\mu =63[/tex]

[tex]\text{Alternative hypothesis}=H_1:\mu >63[/tex]

In this case, the alternative hypothesis is the claim.

Final answer:

The null hypothesis states that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis states that the mean life of the alkaline battery is less than 63 months.

Explanation:

The null hypothesis, denoted as H0, is the statement that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis, denoted as Ha, is the statement that the mean life of the alkaline battery is less than 63 months. The claim in this case is the alternative hypothesis Ha.

What does it mean by property? Thank you!

Answers

This is talking about the different properties such as Commutative property and Associative Property, Distributive Law. This exact law is commutative law.

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