Which of the following shows that polynomials are closed under subtraction when polynomial 3x2 + 4 is subtracted from x2+ 2x + 5?
−2x2 + 2x + 1 may or may not be a polynomial
2x2 − 2x − 1 will be a polynomial
−2x2 + 2x + 1 will be a polynomial
2x2 − 2x − 1 may or may not be a polynomial

Answers

Answer 1
For this case we have the following polynomials:
 [tex]3x ^ 2 + 4 x ^ 2 + 2x + 5[/tex]
 Subtracting both polynomials we have:
 [tex](3x ^ 2 + 4) - (x ^ 2 + 2x + 5) [/tex]
 Subtracting terms from the same exponent we have:
 [tex]x ^ 2 (3-1) - 2x + (4-5) [/tex]
 Rewriting we have:
 [tex]2x ^ 2 - 2x - 1 [/tex]
 Answer:
 
[tex]2x ^ 2 - 2x - 1[/tex] will be a polynomial

Related Questions

Jill has a balance of $5,000 on her credit card with an annual interest rate of 15%. To pay off the $5,000 in three years, Jill will have to make a minimum payment of $173.33 per month. To pay off the $5,000 in five years, Jill will have to make a minimum payment of $118.95 per month. How much more does Jill have to pay when the length of the loan changes from 3 years to 5 years? A) $1,239.88 B) $1,957.68 C) $2,137.00 D) $897.12

Answers

mark me brainlyest if i get this right 1 sec
   c is what it is

Answer:

The answer is D) $897.12

Step-by-step explanation:

3 years = 36 months

173.33 * 36 = 6239.88

5 years = 60 months

118.95 * 60 = 7137.00

7137.00 - 6239.88 = 897.12

The graph below represents which system of inequalities?


Option A

y > 2x − 3

y > −x − 3


Option B

y < 2x − 2

y < −x + 3


Option C

y ≤ 2x − 2

y > −x + 3


Option D

None of the above

Answers

I don’t know the graph

PLEASE help!!! what is 4y + 12x= 24 in y intercept form????

Answers

4y + 12x = 24
Solve for y. Subtract 12x from both sides.

4y = 24 - 12x
Divide both sides by 4.

y = 6 - 3x 
Y=3x+6. Subtract over the 12x then divide by 4 to get the answer

An equation is shown below:

5(2x − 3) = 5

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work.

Answers

10x -15 = 5
10x = 20
x = 2

This equation has one solution.

The solution would be x = 2

A) This equation has only one solution. B) The solution would be x = 2.

How to find the solution to the given system of equation?

For that ,we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

Given equation is 5(2x − 3) = 5

By solving further,

10x -15 = 5

10x = 20

x = 2

A) This equation has only one solution.

B) The solution would be x = 2

Learn more about the case of solutions here:

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1) In a trapezoid ABCD with legs

AB

and

CD

, the diagonals intersect each other at point O. Compare the areas of: ΔABD and ΔACD


and then


2) In a trapezoid ABCD with legs

AB

and

CD

, the diagonals intersect each other at point O. Compare the areas of:

ΔABO and ΔCDO


pleassssee help

Answers

Answer:

1)  Area of ΔABD = Area of ΔACD and

2)  Area of ΔABO = Area of ΔCDO

Step-by-step explanation:

1) In the given trapezoid ABCD,

AD || BC

Triangles ΔABD and ΔACD lie on the same base AD and lie between the parallel lines AD and BC.

Hence, they are equal in area.

Therefore, Area of ΔABD = Area of ΔACD.


2) From 1), we have

Ar (ΔABD) = Ar(ΔACD)

Subtract Ar (ΔAOD) from both sides,

Ar (ΔABD) - Ar (ΔAOD) = Ar(ΔACD) - Ar (ΔAOD)

Ar (ΔABO) = Ar (ΔCDO)


Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12

Answers

Adjacent angles are angles that are side by side (right next to each other).  They share a side.  #7 and 11 are pairs of adjacent angles.

Vertical angles are angles that are directly across from each other.  They are the same angle.  #8 and 9 are vertical angles.

#10 and 12 do not fit either of these descriptions so they are neither.

how to write standard form for: (please answer this question soon )
[tex]2x - x ^{2} = 1[/tex]
[tex] - x {}^{2} = 15[/tex]
[tex]4x { }^{2} = 12[/tex]
[tex]5 + x = 3x { }^{2} [/tex]

Answers

Put the terms in order of decreasing degree, all on the left. When convenient, it is nice to have mutually prime integer coefficients with the leading one positive.

a) x² -2x +1 = 0

b) x² +15 = 0

c) 4x² -12 = 0
or, better, divide out the common factor of 4.
  x² -3 = 0

d) 3x² -x -5 = 0

_____
Shown is the standard form for a single-variable second-degree equation. Form varies depending on the nature of the equation. Equations of conic sections have different standard forms, depending on the curve.

Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5

Answers

x = 17.5

Note: This is done in the interior triangle as the angle will be equivalent to the other two angles.

Here's how you solve it:

You have to use the law of cosine for the interior triangle; the law of cosine is: c^2 = a^2 +b^2 - 2ab times cos (C)

Substitute each factor so that the equation now appears as so:

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80)

This will give you: h = 11.67

Now, you have to apply this to the law of sin which is a over sin(A) = b over sin (B) = c over sin (C). (Lowercase letters are the opposite side of uppercase angles.)

This will then give you:

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67)  is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

Because you now know the angles of S and T, you need to use the law of sin again.

t over sin (T) = s over sin (S)

t = 10 + x
s = 8 + 18 = 22

Thus, you need to substitute the variables to get this equation: 

10 + x over sin (57.54) = 22 over sin (42.45) 

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

Thus, getting the answer of x = 17.50

Answer: x = 17.5

Step-by-step explanation:

You're using interior angles

Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67)  is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

t over sin (T) = s over sin (S)

t = 10 + x

s = 8 + 18 = 22

10 + x over sin (57.54) = 22 over sin (42.45) 

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

the answer of x = 17.50

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3

Find P(C|Y) from the information in the table.



To the nearest tenth, P(C|Y) =

Answers

From the definition of conditional probability,

[tex]\mathbb P(C\mid Y)=\dfrac{\mathbb P(C\cap Y)}{\mathbb P(Y)}[/tex]

and by the law of total probability,

[tex]\mathbb P(Y)=\mathbb P(Y\cap A)+\mathbb P(Y\cap B)+\mathbb P(Y\cap C)[/tex]

In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. [tex]\mathbb P(X\cap A)=\dfrac{32}{146}[/tex]). So,

[tex]\mathbb P(C\mid Y)=\dfrac{15}{30}=\dfrac12=0.5[/tex]

Answer:0.5

Step-by-step explanation:

-1 ≥ -8; Multiply both sides by -2

Answers

2[tex] \leq [/tex]16

Please answer the picture.

Answers

I hope that helps. Feel free to message me anytime if you need more help

There are 16 pink jelly beans in a bag. The ratio of red to pink jelly beans in the bag is 3/4. Which proportion could NOT be used to find r, the number of red jelly beans in the bag

Answers

the complete question in the attached figure

Let
r----------> the number of red jelly beans in the bag
p---------> the number of pink jelly beans in the bag

we know that
r/p=3/4
p=16
so
r/p=3/4--------> r/16=3/4-----> r=(3/4)*16-----> r=12

therefore

case A) 3/4=r/16-----> is correct, the proportion could be used to find r

case B) 16/r=4/3----> r=16/(4/3)----> r=16*3/4-----> r=12-----> is correct
the proportion could be used to find r

case C) 3/4=r/16-----> is correct, the proportion could be used to find r

case D) 3/4=r/16-----> is correct, the proportion could be used to find r

the answer is
All proportions could be used to find r

Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .

Answers

Hello!

You can substitute y into the other equation

7 = -3x - 2

Add 2 to both sides

9 = -3x

Divide both sides by -3

-3 = x

The answer is -3

Hope this helps!

The value of x is -3 and the solution to this system of equations is (-3 , 7).

When a number of variables are involved, the system of equation is generated. The system of equation has been the set of simultaneous equations as well.

Given :

[tex]y = -3x-2[/tex]   ----  (1)

[tex]y=7[/tex]  -----  (2)

Solution :

From, equation (1) and (2) we get the value of x to be:

[tex]7=-3x-2[/tex]

[tex]9=-3x[/tex]

[tex]x=-3[/tex]

Therefore, the value of x is -3.

For more information, refer the link given below

https://brainly.com/question/13911928

Find the slope of the line that passes through each pair of points.

1. (5,2),(3,1)

2.(-7,4),(-5,0)

Answers

1. (1-2)/(3-5) = (-1)/(-2) = 1/2

2. (0-4)/(-5-7) = (-4)/(-12) = 1/3

To find the slope you’d do the second y-value minus the first y-value over the second x-value minus the first x-value.

William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.

Answers

T=total

T = 6(4) + 54
William had 78 at the start

Reply if you need more help!
I dont know this one!

A circular plate has circumference 21.4 inches. What is the area of this​ plate? Use 3.14 for pi.

Answers

Final answer:

Given a circle with a circumference of 21.4 inches, first calculate the radius using the circumference formula, then use the radius to calculate the circle's area, which results in approximately 36.29 square inches.

Explanation:

This question involves determining the area of a circle given its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a constant (approximated to 3.14). Given that the circumference is 21.4 inches, we can rearrange this formula to find the radius (r = C/2π), giving us a radius of approximately 3.4 inches.

Now, knowing the radius, we can use it to find the area using the formula for the area of a circle, which is A = πr². Plugging in the values, we find that the area is approximately 36.29 square inches.

Learn more about Circle's area here:

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The Smith family has a two-and-a-half-foot-long sandwich to share. One-half foot of the sandwich will serve one person. How many one-half foot servings are in this sandwich?

Answers

To find the amount of servings, we divide the total sandwich by the amount given to one person:
2 1/2 / 1/2
This can simplify into:
5/2 / 1/2
Dividing a fraction is basically multiplying it's flipped side:
5/2 * 2
10/2 = 5
There are 5 servings in the sandwich

the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.

Answers

While I cannot see your answer choices, the correct answer would be one that has a coefficient that is a multiple of 3 and has an x raised to an exponent of no more than 2.  It could have any other variables in it.

The reason this has to be is because of the GCF.  Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.

Since x² is part of the GCF, the missing monomial must contain x².  However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.
Final answer:

The other monomial must have the factors of 3x^2y, with the possibility of having higher powers of y, but not lower, as this would change the GCF. An example of a compatible monomial with 3x^4y is 3x^2y^2.

Explanation:

The question is asking for the other monomial given that the greatest common factor (GCF) of two monomials is 3x^2y and one of the monomials is 3x^4y. Since the GCF is the product of the lowest powers of common factors in the monomials, the other monomial must have at least the factors 3, x^2, and y to a certain power. It can have these factors to higher powers as well, but not to lower powers, since it would then alter the GCF.

An example of another monomial that could be paired with 3x^4y is 3x^2y^2, because it has the factors of the given GCF with potentially higher powers, without affecting the GCF. Therefore, any monomial of the form 3x^2y^n (where n is greater than or equal to 1) could be the other monomial.

the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?

Answers

Final answer:

The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.

Explanation:

The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.

To do this:

Convert the percent to a decimal: 7% becomes 0.07.

Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.

Therefore, the customer paid $5.60 in meal's tax.

Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.

If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line?

–1.76
–0.63
0.63
1.76

Answers

It appears either the teacher provided the calculator result or you did so yourself. Either way, the regression equation is approximately y = 0.628x + 1.759

The equation is in slope intercept form y = mx+b
m = slope = 0.628
b = y intercept = 1.759 

The value 1.759 rounds to 1.76 which is the answer
1.76 is the answer
:)

Need help with this one

Answers

Multiply 5 by 3 and get 15.4 + 15 = 19
That's cake! You have to multiply 3 by 5 to get 15. Then you add that to 4 and viola! 19! :3

brainliest FOR WHO HELP ME a spherical mini donut hole has a diameter of 6 centimeters. A large spherical donut hole has a diameter of 9 centimeters. Approximately how much greater is the volume of a large donut hole than the volume of a mini donut hole?
86 cm³
113 cm³
226 cm³
268 cm³

Answers

4/3 *3.14*4.5^3-Donut Hole
4/3 *3.14*3^3-Mini Donut

Then Subtract the greater answer from the smaller one. 
the answer is 113 if my math is correct 

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3

Answers

we know that
[volume of a cone]=(1/3)*pi*r²*h
for r=2/2---> 1 in
h=5 in

[volume of a cone]=(1/3)*pi*1²*5-----> 5.23 in³

the answer is
5.23 in.3
To find the volume of the cone, you will use the formula for the volume of a cone and replace the r(radius and the h(height) with the given values.

V = 1/3 x pi x r^2 x h
     1/3 x 3.14 x 1^2 x 5
V = 5.2281 

The volume is approximately 5.23 cubic inches.

What is likely to happen if a new aggregate demand curve moves to the right?

Answers

If the aggregate demand curve shifts to the right it refers to the increase in total quantity of the demanded goods and services. It also signifies economic expansion. If there are also new fiscal policies, then there will also be an increase in aggregate demand.

Answer:

Prices and output would rise, and the equilibrium point will change.

<3

A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?

Answers

Box 1: 525 cubic inches   Box 2: 581.625 cubic inches  

Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational

Answers

I believe the answer is A

Answer: A.) Point.

Step-by-step explanation:

Anthony purchased 6 fruit bars and 3 chocolate-nut bars for a camping trip. He spent $4.12 on the bars. Anthony wrote the following equation:  . What did he define as the variable x?

Answers

X is the number of bars that in trip
He used x to represent the number of items in which he bought the fruit bars. The piece of information missing is that we need to know the price, guessing it look like this
(price of FB)x+(price of CB)x=4.12

If the sum of three numbers is 144, what is the average of the three numbers?   

Answers

The average will always be 48. No matter what the numbers are, they will equal 144 and there will always be 3 numbers so you divide 144 by 3 and that equals 48.

Final answer:

The average of three numbers that sum to 144 is 48, found by dividing 144 by 3.

Explanation:

The average of three numbers is the sum of those numbers divided by three. In this case, if the sum of three numbers is 144, then the average can be found by dividing 144 by 3. Calculating this, we get the average, which is 48 (144 ÷ 3 = 48). Hence, the average of the three numbers is 48.

Determine the factors of ax + ab + 2by + 2xy.

Answers

ax + ab + 2by + 2xy =(ax + ab) + (2by + 2xy)=

=a(x+b) + 2y(x+b) =(x+b)(a+2y)

ax + ab + 2by + 2xy = (x+b)(a+2y)

Answer: (x+b) (a+2y)

Step-by-step explanation:

ax+ab+2by+2xy

split the equatuion in half

1.  ax+ab                    2.     2by+2xy

        gcf=a                          gcf=2y

        ax/a=x                        2by/2y= b  

        ab/a=b                        2xy/2y= x

a(x+b)                                 2y(x+b)

          Answer :(x+b)(a+2y)

PLESE HELP FAST!!!!!! WILL GIVE BRAINLIEST!!!! I NEED HELP ASAP!!
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r. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943 students, what is the expected number of students who are liberal arts majors?

Answers

the answer to your question is 8255 or 92%

Here, we need to calculate the expected number of students who are liberal arts major.

It is given that, 60 out of 65 students are liberal arts major.

So, we will calculate the percentage of liberal arts major from the total.

Percentage of liberal arts major = [tex] \frac{Number of liberal arts major}{Total students} [/tex] X 100

Percentage of liberal arts major = [tex] \frac{60}{65} [/tex] X 100

Percentage of liberal arts major = 92.31 %

Now, we will calculate for 8,943 liberal arts majors -

In total students of 8,943, liberal arts majors = 92.31 % X 8,943

In total students of 8,943, liberal arts majors =8,256 students (approximately)

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longshore currents move sediment as they?a.run along the ocean bottom b.pound against coastal headlandc.flow in circular patterns in the ocean basin d.move parralel to the shore one angle of a triangle is 2 / 3 of a right angle . the greater of the other to exceed the lesser by 20 degree. Find the angles of the triangle in grades. ________ is the process of organizing and interpreting sensory impressions to give meaning to the environment. The U.S. Declaration of Independence and the French Declaration of the Rights of Man both drew on which Enlightenment idea?People are born with inherent rights that must be protected.Rulers and the ruled have shared rights and responsibilities. Citizens must demonstrate their ability to rule themselves.Nations should fight to prove their right to independence. Who was the first lexicographer to attempt to record and standardize American English? Dr. Samuel Johnson Noah Webster Dr. James Oxford Charles Merriam An expressive crowd is one that forms around emotionally charged activities. please select the best answer from the choices provided t f The factor that has the greatest impact on your credit score is If the temperature of a 5 L sample of gas is lowered from 400k to 200k, what will the resulting volume of the gas be?Question 4 options:10 L50 L2.5 mL2.5 L suppose you deposit 1,000 ina savings account that pays interest at an annual rate of 5%. if no money is added or withdrawn from the account answer the following questions. How much money will be in the account after 3 years? How much will be in the account after 18 years? How many years will it take for the account to contain 1,500? How many years will it take for the account to contain 2,000? PLEASE HELP I NEED IT ASAP!!! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!How did the Vietnam War affect American society?A. Most Americans wanted U.S. soldiers or fight in Vietnam.B. Americans were divided on the issue of fighting Vietnam.C. Most Americans did not want U.S. soldiers to fight in Vietnam.D. Most Americans wanted the United States to take over Vietnam. how much tax you need to pay on a taxable income of 40,000 What kind of artworks do the guerrilla girls make? Exercise 3.8 asked you to write a method called quadratic that solves quadratic equations and prints their roots. recall that a quadratic equation is a polynomial equation in terms of a variable x of the form a x2 + b x + c = 0. the formula for solving a quadratic equation is: How do I simplify this expression Y=-4x+10 what is the perpendicular equation that contains (4,-6) What do the word solstice and equinox mean?How are they related to the position of earth axis? 4 1/4 divided by 1 1/2 Which is not a product of the fractional distillation of petroleum?A) GasolineB) Jet FuelC) steel Describe the differences you see in the three types of muscle tissues hbs A pattern that can be folded to form a solid figure is a