Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?

A) 3x2 − 11x + 8 may or may not be a polynomial
B) 3x2 − 11x + 8 will be a polynomial
C) 3x2 − x + 4 may or may not be a polynomial
D) 3x2 − x + 4 will be a polynomial

Tip: Every 2 after 3x is an exponent.. so it would be 3x^2

Answers

Answer 1
Answer: Choice B
3x^2 - 6x + 2 will be a polynomial

======================================

Explanation:

Line up the terms and subtract straight down
3x^2 - 6x + 2
           5x  - 6
-----------------
3x^2 -11x + 8

this is a polynomial as it is a sum of three monomials

Subtraction of any two polynomials will result in another polynomial. This is what closure means. In math terms, closure is the idea of taking two objects and performing some operation on them (eg subtraction). If we get the same type of object back, then the set of considered closed under that operation.

Here's another example of closure. Take two glasses of water and pour them together. The two glasses can be of different shapes and sizes. It doesn't matter. The fact that we have two containers of water is all that matters. In this example,the water is like the polynomial. Combining the two containers of water into one will result in a greater amount of water. Combining water with water leads to more water. 

Related Questions

please help!!!

Write an expression for the volume of a cylinder with a height 7in. greater than the radius.

Answers

Answer: 7 π r² + π r³

Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

V = π r² h

2) Now you have the condition that the height is 7 inches greater than the radius, that is:

h = 7 + r

3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

V = π (7r²) + π r³ = 7 π r² + π r³

Answer: 7 π r² + π r³

Which of the following rates is proportional to $2.50 for 5 cans?

A. $2.00 for 3 cans
B. $4.00 for 7 cans
C. $4.50 for 9 cans
D. $1.50 for 1 can

Answers

C. $4.50 for 9 cans would be the correct answer

Answer:

C. $4.50 for 9 cans

Step-by-step explanation:

please help asap 50 pts

Answers

I believe the answer is C. If you were to plug in 1 for t, you would get h=22. Thus, the max height is 22 feet, and the time it took to get there was 1 second.

I tried plugging in all the answers, and found that C works the best. Hope that helps.

Good luck!

-RxL

If a map shows the straight line distance between two cities as 3 1/2 centimeters and the map scale shows that 1 centimeteer equals 100 kilometers what would the actual distance be

Answers

Answer:

The actual distance between the two cities is 350 kilometers

Step-by-step explanation:

Information given to us to answer the question correctly:

Distance between two cities in the map = 3 1/2 centimeters

Scale of the map: 1 centimeter = 100 kilometers

2. What would the actual distance be?

Let's calculate the actual distance between the two cities, this way:

Actual distance = Distance between two cities in the map * Scale of the map

Replacing with the real values:

Actual distance = 3.5 * 100

Actual distance = 350 kilometers

ANSWER TRUTHFULLY WILL NAME YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
The ordered pairs (1,5) (2,25) (3,125) (4,625) and (5,3125) represent the function y=5^x. How does this rule represent the function?

A) y=x5
B) y=5x
C) y=5^5=x
D) y=x+5

Answers

For each answer, we can plug in the given points:

A) is technically the same as B), but B) expresses correct function notation.

B) 5 = 5(1) ⇒ 5 = 5
     25 = 5(2) ⇒ 25 ≠ 10
     B) is incorrect.

C) I'm not sure what you mean y=5^5=x, but I'm going to use [tex]y=5^{x} [/tex] because it's close to what you wrote:
[tex]5=5^{1} =\ \textgreater \ 5=5 \\ 25=5^{2} =\ \textgreater \ 25=25 \\ 125=5^{3} =\ \textgreater \ 125 = 125 \\ 625=5^{4}=\ \textgreater \ 625=625 \\ 3125=5^{5}=\ \textgreater \ 3125=3125[/tex]
The function [tex]y=5^{x} [/tex] works for the points given.

D) 5 = 1 + 5 ⇒ 5 ≠ 6
     D) is not correct.

Please check your functions; I'm not sure that C) is a function.  In any case, the answer is C) because all the other answers are wrong.

What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius = 5cm.

Answers

Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r. 
[tex]4 \pi (5^2) = 4(3.14)*25 = 100 * 3.14 = 314[/tex]
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!
Surface area of a sphere can be calculated as:

Surface Area = 4πr²

r = 5cm
π = 3.14

Using the values we get:

Surface Area = 4(3.14)(5²) = 314 cm²

Thus, the surface area of the sphere is 314 cm²

Find the derivative of f(x) = negative 10 divided by x at x = -12.

Answers

[tex]f(x)=\dfrac{10}{x};\ D:x\neq0\\\\f'(x)=-\dfrac{10}{x^2}\\\\x=-12\to f'(-12)=\dfrac{-10}{(-12)^2}=\dfrac{-10}{144}=-\dfrac{5}{72}[/tex]

3 4 (2)t/3 = 9 Round your answer to the nearest hundredth. A) 1.62 B) 3.24 C) 8.26 D) 10.75

Answers

The answer is 10.75, or 10.7548875

The average of paula's two test scores must be 80 or more for her to get at least a b in the class. she got a 72 on here first test. what grades can she get on the second test to make at least a b in the class

Answers

She would have to make an 88 or higher to average a B.

Claudia is on a motorcycle trip. She checked the odometer at the beginning of the trip, and it showed 16,789 miles. After 15 days it showed 22,189 miles. If Claudia rode the same number of miles each day how many miles did she ride in a day?
A.360 miles
B 540 miles.
C.771 miles
D.1,479 miles
please help me

Answers

22,189 - 16,789 = 5,400

Total miles = 5,400
Days = 15

Divide total by how many days:

5,400 ÷ 15 =  360

Answer = A.360

Hope this helped :)

22,189 - 16,789 = 5,400

5,400 / 15 = 360

360 miles a day

for the function f(x)= -(x + 1)^2 + 4 identify the vertex, domain, and range

Answers

Vertex (-1, 4)

Domain = All real numbers

Range = All y values such that y ≤ 4

Answer:

Vertex = (-1, 4)

Domain = All real numbers i.e. R

Range = (-∞, 4)

Step-by-step explanation:

The vertex of the quadratic equation:

f(x) = a(x - h)² + k

Here, Vertex = (h,k)

Thus, Vertex = (-1, 4)

Domain = All real numbers i.e. R

Range = All real numbers less than or equal to 4 i.e. (-∞, 4) or f = ≤ 4.

Further, the possible values of x are called Domain.

And, the possible output we get as y is called Range.

Which of the following best describes the following set of numbers? 6 + 8 + 10 + 12 + ... + (4 + 2n) + ...

answers:
Arithmetic SequenceGeometric SeriesGeometric SequenceArithmetic Series

Answers

From the series given:
6+8+10+12+.....+(4+2n)+
the common difference is:
8-6=10-8=12-10=2
since the series has a common difference then it is known as:
Arithmetic series.

Answer:

The term that best describes the given set of numbers is:

                                Arithmetic Series.

Step-by-step explanation:

We are given a series of numbers as:

6 + 8 + 10 + 12 + ... + (4 + 2n) + ...

Clearly as wee could see that each term in the given expression is separated by a plus sign, Hence, the given expression is a series and not a sequence.

Also as we could see that each in the series is more than the preceding term by 2 i.e. the common difference of the term is 2.

( Since, the set of numbers is given as:

[tex]a_0+a_1+a_2+a_3+....[/tex]

where,

[tex]a_n=2n+4[/tex]

[tex]when,n=0\\\\a_1=4\\\\when,n=1\\\\a_1=6\\\\and\ so\ on[/tex]

Also,

[tex]a_0-a_1=2\\\\Simialrly\\a_2-a_1=2\\\\and\ so\ on[/tex]

Hence, the common difference is 2. )

Hence, the given series is an Arithmetic series.

find the volume of the specificed cone. Use 3.14 for pie, and round your answer to the nearest whole number.
Radius=9 in., Height=8 in.
a. 1017 cu. in.
b. 151 cu. in.
c. 678 cu. in.
d. 1356 cu. in.

Answers

The answer is C.678 cu. in. :D

Which values in this data set are outliers?

119, 65, 68, 78, 74, 85, 120, 86, 78, 65, 35

Select outlier or not outlier to whether the following numbers are outliers.

35

65

119

120

Answers

The median value is 79.36
M+M/2=119.04...
M-M/2=39.68...

So I think outliers are 120 and 35
Hi There!!

I'm Naarah!!

I'm glad I can be an assistance on helping answer your question!
______________________________________________________________


1. 35 - Not A Outlier
--------------------------
2. 65 - Outlier
-----------------------
3. 119 - Outlier
----------------------------
4. 120 - Outlier
------------------------------



I Really Hope That I Was A Helpful Assistance To You!!
_____________________________________________

I'm Sorry If The Answers I Put Were Wrong.
-------------------------------------------------------------

Have A Great Day Friend :)









Roger goose had a 500-yard head start on willa. if willa's speed was 40 yards per second and roger's speed was only 20 yards per second, how long did it take willa to catch up

Answers

For this case what we should do is write the equation of movement for each person.
 We have then:
 For Roger:
 r = 20 * t + 500
 For Willa:
 r = 40 * t
 Equating the equations:
 20 * t + 500 = 40 * t
 We cleared t:
 40 * t - 20 * t = 500
 20 * t = 500
 t = 500/20
 t = 25 s
 Answer:
 
it did take willa 25 s to catch up Roger.

Solve a(x - b) - 2k = l for k

Answers

a(x - b) - 2k = l 
ax - ab - 2k = l

Subtract ax, add ab to both sides

- 2k = l - ax + ab

Divide by - 2 to isolate variable K

k = (l - ax + ab) / - 2 or [tex]k = \frac{l - ax + ab}{-2} [/tex]

Expand and simplify: (x + 5y) (x − 3y)

Answers

We have the following expression:
 (x + 5y) (x - 3y)
 Rewriting we have:
 x ^ 2 - 3xy + 5xy - 15y ^ 2
 Grouping similar terms we have:
 x ^ 2 - 15y ^ 2 + 2xy
 Answer:
 
The complete and simplified expression is given by:
 
x ^ 2 - 15y ^ 2 + 2xy
The answer you are looking for is x^2 - 15y^2 + 2xy.

To find this, you must first distribute one set of parenthesis into the other. This will give you "x^2 - 3xy + 5xy - 15y^2. You then combine like terms (-3xy and +5xy), to get "x^2 + 2xy - 15y^2". Finally, you organize the numbers based on their power (highest to lowest). Your final answer would be x^2 - 15y^2 + 2xy.

I hope this helps!

The equation of a parabola is given. y=−16x2+7x−80 What is the equation of the directrix of the parabola?

Answers

we have that
y=−16x²+7x−80

see the answer in the attached figure
y=-1/6x^2+7x-80
the answer is y=-5 

Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
m<O = 135
(See picture down below)

a) 45

b) 315

c) 270

d) 67.5

Answers

Draw an imaginary line from the vertex of angle x to the center of the circle.
This divides the 4-sided polygon into two right triangles.  For example, the upper right triangle has an acute angle whose measure is 135 degrees / 2, or 67.5 degrees, and the another acute angle whose measure is x/2.

x/2 and 67.5 degrees are complementary angles, so x/2 + 67.5 deg = 90 deg.  Thus, x/2 = 22.5 deg, and so x = 45 deg.  (answer)

Mrs. Cantonwine teaches 2 math classes. There are 28 students in 6A and 21 students in 6B. She divided both classes into groups of equal size. How many students are in a group?

Answers

Hi there!

In order to figure out how many students are in each group, we'll need to find the greatest common factor of the two class sizes. The greatest common factor is 7. This means that 7 students are in each group.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Someone please help

Answers

D is the  right answer!
 

Melissa pulls the pep club to see which sport they like. She finds that 45 students like soccer only, 35 students like football only, and 15 students like soccer and football. There is no one who doesn't like at least one of the two sports mentioned. Which venn diagram would be an appropriate model for the data melissa collected

Answers

The one that looks like this.

I don't understand this question. Could anyone excplain to me what it wants me to do and what the answer is?

What is the diameter of a sphere that has a surface area of 1041 square inches?

A) 9.1

B) 22.5

C) 40.3

D) 18.2

Answers

The answer is 18.2
I got the answer by solving it
1st you need equation for the surface area of a sphere which is:
A=4*π*r^2
Where r=radius
r = diameter/2 or d/2

So
area of a sphere = 4*π*(d/2)^2

Plug in the area given
1041 = 4*π*(d/2)^2

Solve for d
1041/(4* π)=82.84

82.84 = (d/2)^2

Sqrt(82.84)=d/2

9.10=d/2

9.10*2= d

18.2=d
So the answer is 18.2 in





Gio is studying the rectangular pyramid below.
He believes the surface area, in square millimeters, can be found by simplifying this expression.
(4.2)(9.6)+1/2(4.2)(6.5)+1/2(9.6)(4.8)

What error is Gio making?
He used the wrong values as the bases of the lateral faces.
He used the wrong expression to represent the area of the base of the pyramid.
He used two different values as the heights of the lateral faces. NOT C
He used an expression for surface area that did not include all the faces.
PLZZ HELP

Answers

the answer is A. hope this helps!!!!

The error that Gio is making in finding the surface area of the rectangular pyramid is that He used an expression for surface area that did not include all the faces.

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular pyramid.

Pyramid consists of one rectangular side and 4 triangular faces of which each pair of triangular faces is identical.

Total surface area of the pyramid is the total surface area of each faces.

Area of rectangular face = (4.2) (9.6)

Area of the triangular faces = [2 × 1/2 × 4.2 × 6.5] + [2 × 1/2 × 9.6 × 4.8]

                                             = (4.2) (6.5) + (9.6) (4.8)

Total area = (4.2) (9.6) + (4.2) (6.5) + (9.6) (4.8)

So his mistake is that he only find the areas of two triangular faces.

Hence the correct option is that He used an expression for surface area that did not include all the faces.

Learn more about Surface Area here :

https://brainly.com/question/29298005

#SPJ2

What is the focus of the parabola? y=−1/4x^2−x+3
Enter your answer in the boxes.
(__ ,__ )

Answers

we know that
the equation of the parabola is of the form
y=ax²+bx+c

in this problem
y=−1/4x²−x+3
where
a=-1/4
b=-1
c=3

 the coordinates of the focus are

(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2

y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3

the coordinates of the focus are
(-2,3)

What is the domain of the function

Answers

5. D (the number under the square root symbol must be greater than or equal to 0. 


Answer:

The domain of the function is x>=-7

Step-by-step explanation:

The domain is all the values that x can take so the function is defined, that means we can find a value of y

The sqrt is defined only for positive values and zero. So the expression in the sqrt must  satisfy that

6x + 42 >=0

We only have to find x

6x >=-42

x>=-42/6

x>=-7

So the answer is D x>=-7

Rovide an appropriate response.4) assume that adults have iq scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the wechsler test). find the iq score separating the top 14% from the others. 4)

Answers

9484 hope i helped u

I am posting my work for an application of integrals problem. I would love to know if anyone else agrees with my work!

Answers

Your work appears to be correct.

The results from a graphing calculator are in agreement.

brianna deposit $680.00 into savings account that pays a simple interest rate of 1.29% how much will she earn after 3 years

Answers

Here's the equation for one year:
0.0129(680) + 680
But because it is 3 years:
3(0.0129(680)) + 680
0.0387(680) + 680
We can make it simpler:
1.0387(680)
Multiply:
706.316
We can round up:
She will have $706.32, and earn $26.32

A box is 10 cm long, 5 cm wide, and 2 cm high. What is the surface area of the box? (S.A. = 2lw + 2lh + 2wh)

Answers

your answer is 160 cm2 all you need to do is look up a calculator online i use calculator soup

Answer:

your answer is 160 cm2

Step-by-step explanation:

ez

Other Questions
Read the paragraph. Global warming resulting from greenhouse gases is a serious issue that demands immediate action. Throughout the world, we can already see the significant effects of global warming on people and natural habitats. What would make the best conclusion? If we do not take action now, our world will undergo drastic changes that will negatively affect our environment for thousands of years. Ive seen temperatures rise over my lifetime, and I hate to think of them rising further. Scientists will lead the way with new evidence, but we all must join together to take effective action against this impending issue. More and more, our ice caps will melt and our weather will change, and only those of us who are insightful will take a stand. List the number of each type of atom on the left side of the equation hbr(aq)+2naoh(aq)2nabr(s)+h2o(l) One leg of a 45 - 45 - 90 triangle measures 12 centimeters what is the length of the hypotenuse The number of boys varies directly as the number of girls and inversely as the number of teachers when there are 24 boys and 16 girls there are 2 teachers how many girls are there when there are 73 boys and 1 teacher? As we see winston sipping his drink in the chestnut tree cafe, what is this scene meant to remind us of? People who exercise regularly can reduce their risk of osteoporosis. megaloblastic anemia. hemosiderosis. all of these are correct. 7.Find the amount of the payment for the sinking fund.Amount Needed: $58,000Years Until Needed: 2 Interest Rate: 6%Interest Compounded: Semiannually$13,863.74$8,620.68$28,155.52$13,258.22 Drag the numbers to the boxes to order them from least to greatest value. What is the probability of rolling an even number or a prime number on a number cube? Write as a fraction in simplest form. A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is true?A, B, C, and D lie on the same line.AB and CD are perpendicular lines.AB and CD are parallel lines.AB and CD are intersecting lines but are not perpendicular.AC and BD are parallel lines. which number correctly completes this equation 3/4%x75= A. 0.255 B. 0.5625 C. 2.55. D. 5.626 Please any one can help me with one Why did slaves learn to read if it was outlawed by slave codes A cell with membrane-bound proteins that selectively bind a specific hormone is called that hormone's _____. a cell with membrane-bound proteins that selectively bind a specific hormone is called that hormone's _____. endocrine cell regulatory cell target cell secretory cell PLEASE HELP I REALLY NEED ITWhat are the x-intercepts of the quadratic function?f(x)=x23x10Enter your answers in the boxes._______ and ________ In his book, the lucifer effect, psychologist phillip zimbardo suggests that the abuses at the abu ghraib prison were the result of a bad social setting that contaminated the individual prison guard. what would kant say about the difficulty of ethical conduct in the face of situation pressure to be unethical? Which of these statements would be supported by both a communist and a utopian socialist? A) The Industrial working class is oppressed and exploited by the wealthy ownership class.B)The gains of the Industrial Revolution should be shared by all members of society.C) Society will shift toward socialist ideals without the need for violent revolution.D)Governments have no right to restrict the action of businesses or customers. If an endothermic process absorbs 256j how many kilocalories are absorbed Find the total area of the regular pyramid. Workers from a society that emphasizes in-group collectivism are likely to ask, "what's in it for me?" before accepting a leader's attempts at motivation.