Question 1-5
Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown.
Select an equation and phrases to complete the statement.
Part A:
Add 3x4 + 6x - 7 to
Equation A 2x - (2x)2 + 4x-1
Equation B (2x)2 + 4.4x - 9
Equation C (-8x)-2 - (3x)3 +7
Part B:
This is closed because
of the sum are
and the sum is a polynomial.

Question 1-5Sarah Is Demonstraing The Idea That Polynomials Are Closed Under Addition. Her Work And Explanation

Answers

Answer 1

This is closed under addition because the sum of the polynomial produces another polynomial.

What is a polynomial?

A polynomial is an expression that involves the addition, subtraction and multiplication of variables.

Polynomials will be closed under an operation if the operation produces another polynomial.

(3x⁴ + 5x - 7) + (2x - (2x)² + 4x - 1) + [(-8x)⁻² - (3x)³ + 7]

= 3x⁴ - 27x³ - 4x² + 9x - 1 + (-8x)⁻²

This is closed under addition because the sum of the polynomial produces another polynomial.

Find out more on polynomial at: https://brainly.com/question/2833285


Related Questions

A triangle has side lengths of 9 cm, 25 cm, and 33 cm. Classify it as acute, obtuse, or right.

Answers

Answer:

Obtuse.

Step-by-step explanation:

If sides are a b and c, with c the longest:

c^2 = a^2 + b^2 = Right triangle

c^2 < a^2 + b^2 = Acute     ...

c^2 > a^2 + b^2 = Obtuse  ...

33^2 = 1089

25^2 = 625

9^2 = 81

625 + 81 = 706

1089 > 706 so the triangle is obtuse.

Answer:

Obtuse scalene triangle

Step-by-step explanation:

Side 1: 9 cm

Side 2: 25 cm

Side 3: 33 cm


1. Find 9 squared, 25 squared, and 33 squared:

9 squared = 81

25 squared = 625

33 squared: 1089

 Find sum of the squares of 2 smallest sides:

81 + 625 = 706

Longest Side Squared = 1089

706 < 1089

Hence, since 706 < 1089, aka sum of the squares of the smaller 2 sides < longest side squared - you have a obtuse scalene triangle


I used a triangle calculator, so yeah in advance you should probably just use one of those :)

A pew research poll asked u.s. adults whether fathers today were doing as good a job of fathering as fathers of 20-30 years ago. the table shows their responses. if we select a respondent at random from this sample, what is the probability that the person responded "same" or "better"?

Answers

Using it's concept, it is found that there is a 0.4901 = 49.01% probability that the person responded "same" or "better".

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that 424 + 566 = 990 out of 2020 respondants said that they were doing the same or better, hence:

p = 990/2020 = 0.4901

0.4901 = 49.01% probability that the person responded "same" or "better".

More can be learned about probabilities at https://brainly.com/question/14398287

NEED HELP NOW PLEASE!!! Will give Brainlyist points

Answers

It’s -1 the guy above me is right

An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

help me pls pls pls

nonsense=report

nice answer=brainles

pls dont waste my point
​​​

Answers

6. D   ---> Length of all the sides

7. E    ---> a tool

8. A    ---> 3 sides

9. B    ---> 5 sides

10. C   ---> 4 sides

True or False. The point (7, 5) lies on the circle centered at the origin and containing the point (5, 2). Justify your answer.

Answers

Answer:

the center (0.0)

radius length {5

=x^2+y^2=25

6^2+8^2

36+64

100

which is greater than 25

so Itli outside of circle

please follow me and tag me as brainlist

A spinner is divided into 4 sections using the latters A, B, C, and D. After 50 trials, the spinner landed on A 14 times, on B 13 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D? (Enter your answer in fraction form)

Answers

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

Help please…………………….

Answers

Answer:

get better maybe

Step-by-step explanation:

just pay attention in class

The function g is defined by the following rule.
g(x) = 5x-1

Answers

Answer:

Below

Step-by-step explanation:

Simplify 6-2a

Thank you

Answers

The answer is 6-2a=4a

Answer:

4a because first, do 6 - 2 which is 4 and combine with a.

Please mark brainliest, thanks!

(05.01 LC) which equation can be used to calculate the area of the shaded triangle below? A. 2(10+6) = 32
B.1 over 2(10 +6) = 8
C. 1 over 2(10 x 6) = 30
D. 2(10 x 6) = 120

Answers

Answer:

  (c)  1/2(10×6) = 30

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

The shaded triangle has a base of 10 feet and a height of 6 feet. Using these numbers in the formula, the area in square feet is ...

  A = 1/2(10×6) = 30 . . . . square feet

This expression matches the 3rd choice.

Anita is 42 1/2 feet below jared. Steph is 67 3/7 feet above anita. What is stephs position compared to jared. Explain

Answers

Check the picture below.

let's firstly convert the mixed fractions to improper fractions and then subtract.

[tex]\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}[/tex]

!!!20 points and Brainliest please help!!!!

Which of the following is a difference of cubes?

A)3x^9 - 64y^3

B)125x^21 - 64y^3

C)27x^15 - 9y^3

D)x^6 + 27y^9

Answers

Answer:

  B) 125x^21 -64y^3

Step-by-step explanation:

You want to identify the difference of cubes among the expressions given.

A)

The coefficient 3 is not a cube.

B)

125x^21 -64y^3 = (5x^7)^3 -(4y)^3 . . . . . a difference of cubes

C)

The coefficient 9 is not a cube.

D)

The expression is not a difference.

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Y=5x+6; x=-2 find the value of y for the given value of x

Answers

Answer:

-4

Step-by-step explanation:

5 * -2 = -10 + 6 = -4

Sort the fractions in order of size with the largest fraction at the top.
10/12 kg
2/3 kg
21/4 kg
13/4 kg

Answers

Answer:

21/4 is the biggest number hope it helps, God bless ya'll!

Step-by-step explanation:

Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.

How much more does Sofia spend than Flynn?

Answers

2 over 25 or 8% i’m pretty sure

Need help with this plss

Answers

Answer:

LN is a radius

Step-by-step explanation:

a segment drawn from the centre of a circle to a point on the circle is a radius.

Answer:

Radius

Step-by-step explanation:

The radius of a circle is a line segment whose endpoints are the center point of the circle and a point on the circumference of the circle.

Write the perimeter of the triangle as a simplified expression.

Answers

[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]

Please Help!

A. 18 ft by 27 ft
B. 18 ft by 9 ft
C. 9 ft by 13.5 ft
D. 72 in. by 108 in

Answers

Answer:

C

Step-by-step explanation:

I hope it is right, sorry if it's wrong. ☹

PLEASE HELP ASAP!!! Draw the image of the following segment after a dilation centered at the origin with a scale factor of 5/3.

Answers

Look for the 5 at the bottom and go up until you stop at the 8 and you will put the dot there

Convert
f(x) = 2/3 (x + 3)2
to standard form.
=

Answers

Answer:

3

Step-by-step explanation:

adding subtraction multiplication and division

It is now 11:15 A.M. What time will it be in three quarters of an hour?

A) noon

B) 11:45 A.M.

C) 11:45 P.M.

D) midnigh

Answers

Answer:

Ur mom

Step-by-step explanation:

Ur mom JK here's the answer 11:45 A.M. because 15 + 15 + 15 = 45 15 is a quarter so yeah Bois is 11:45 A.M Good luck

I HAVE GOTTEN THE ANSWER

Max made a journey of 700km partly by train and partly by bus.He started his journey at 8.00am. by train which travelled at 50km/hr. After alighting from the train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75km/hr.The whole journey took 11.75hours. Determine the distance travelled by bus.

so this is the answer
time taken by the train=x
time taken by the bus=y
subtract 30 minutes from the total time taken..hence x+y=10.75
form an equation
x+y=10.75
50x+75y=700
y=6.5
75×6.5=487.5

Answers

Answer:

487.5 km

Step-by-step explanation:

Let :

time taken by the train = xtime taken by the bus = y

Solving

Subtract 30 minutes from the total time taken.Hence x + y = 10.75

Forming an equation

x + y = 10.7550x + 75y = 700y = 6.575 × 6.5 = 487.5 km

Select the correct answer.
mel is teaching travis how to use a compass and a straightedge to construct a square inscribed in a circle. he tells travis to begin by using a
straightedge to draw any chord of the circle and label it wx. next, his instructions are to use the tools to construct a chord that is a
perpendicular bisector of wx and label it yz. finally, he directs travis to use a straightedge to draw the four chords that make up the square: wy
yx, xz, and zw.
what is the first error, if any, mel made in his instructions to travis?
oa mel's instructions contain no errors.
ob. chord wx must be a diameter of the circle,
oc chord yz is found by constructing a segment congruent to wx.
od the four chords that make up the square are the perpendicular bisectors of wx and yz.
ое. chord wx must be congruent to the radius of the circle.

Answers

Answer:

I think the answer is B

Step-by-step explanation:

The error which is made by Mel in drawing square in the circle is that thefour chords that ob , chord wx must be a diameter

What is square?

A square is a 2 dimensional figure having four sides and four angles which are equal to 90°. All sides of square are always equals to each other.

How to draw a square in a circle?

First draw a circle in which we want to draw such square.

Next draw a chord in the circle.

From one end, draw a straight line connecting a point on the circle and end point of the chord in such a way that the line and chord are perpendicular to each other.

Next draw another line also from the end of line formed in second step.

Lastly draw a line from the other end of chord and join it with the line we have drawn lastly.

In this way we will get square in circle.

Learn more about chord at https://brainly.com/question/1869643

#SPJ2

-4=7t/5 +4t/5 solve for t

Answers

Answer:

t=-\frac{20}{11}

Step-by-step explanation:

If 3x - 5y = 11 and 2x + 3y = 5, then what is the ratio of x to y?

Answers

Answer:

-58/7

Step-by-step explanation:

Alright so this is a system of equations. First we'll solve the system, and then find the ratio afterwards.

[tex]3x-5y = 11\\2x+3y =5\\[/tex]

Isolate for y on both.

[tex]2x + 3y = 5\\3y = 5-2x\\y = \frac{5-2x}{3}[/tex]

and

[tex]3x - 5y = 11\\-5y = 11-3x\\y = \frac{11-3x}{-5}[/tex]

Set both equations equal to each other:

[tex]\frac{11-3x}{-5} = \frac{5-2x}{3}\\ \\\frac{3(11-3x)}{-5} = 5-2x\\ \\3(11-3x) = -5(5-2x)\\\\33 - 9x = -25 + 10x\\33 = -25 + 19x\\58 = 19x\\\frac{58}{19} = x[/tex]

We've got x, now let's solve for y:

[tex]y = \frac{11-3x}{-5} = \frac{11-3(\frac{58}{19}) }{-5}[/tex]

Now we got both x and y, and what they equal.

[tex]y = \frac{-7}{19}\\[/tex]

[tex]x = \frac{58}{19}[/tex]

The ratio of x to y, is essentially [tex]\frac{x}{y}[/tex]. So we will calculate that.

[tex]\frac{\frac{58}{19} }{\frac{-7}{19} } = \frac{58}{19} * \frac{19}{-7} = \frac{-58}{7}[/tex]

A 30-foot ladder is leaning against an office building. if the base of the ladder is
12 feet away from the base of the building, find the angle of elevation. round to
the nearest degree (whole number). really need this for a test

Answers

Angle of elevation would be 66 degrees

help meeee
Given the following formula, solve for a.



A.

B.

C.

D.

Answers

Answer:

The correct answer is D.

I hope this helps

Which problem solving strategy would be best to solve this problem?


Your friend's house is 12 miles from your home. Your school is one-third the way from your friend's house and your home. The park is one-fourth the way from the school to your friend's house. How far is the park from your home?

A. guess, check and revise

B. write an equation

C. make a table, chart or list

D. make a model or diagram

Answers

C. Make a table, chart or list

What is the solution set of the quadratic inequality f

Answers

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

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