What is the sum of the polynomials?
(6x+7+x²) + (2x²-3)
-x²+6x+4
3x²+6x+4
9x + 4
9x² +4

Answers

Answer 1

Answer:

3x^2 + 6x + 4

Step-by-step explanation:

6x + 7 + x^2 + 2x^2 - 3 = 3x^2 + 6x + 4

Answer 2

Answer:

3x²+6x+4

Step-by-step explanation:

Given:

(6x+7+x²) + (2x²-3)

Aim:

To add the polynomials

Solution:

Removing brackets first:

6x+7+x²+2x² - 3

Collecting like terms to each other,

6x+7-3+2x²+x²

Simplifying,

6x+4+3x²

Rewriting it as,

3x²+6x+4

Second choice is accurate.


Related Questions

3. Solve the following system of equations. 2v 3w = 16 2u + w = 4 v/6 - u/6 = 1​

Answers

Answer:

this is what i got

If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?

Answers

7.7278 g/ml is the most accurate density of the substance.

What is density?

It is define as the quantity per unit volume, unit area, or unit length.

i.e. the mass of a substance per unit volume.

Mathematically,

[tex]\rho =\frac{m}{v}[/tex]       ----- equation  (1)

Where,

p is the density

m is the mass

v is the volume

According to the question,

Mass = 27.82 grams  

Volume = 3.6 ml

By substituting the Value of m and v in equation 1.

[tex]\rho =\frac{27.82}{3.6}[/tex]

[tex]\rho = 7.7277777 g/ml[/tex]

Therefore,

The most accurate density of the substance in g/ml is  7.7277777 g/ml.

Learn more about density here:https://brainly.com/question/952755

#SPJ1

albert worked for 8 hours and earned $24. how much does albert earn for 24 hours

Answers

Answer:

$72

Step-by-step explanation:

Priya wants to sketch a graph of the polynomial f defined by f(x)=x^3+5x^2+2x-8. She knows f(1)=0, so she suspects that (x-1) could be a factor of x^3+5x^2+2x-8 and writes (x^3+5x^2+2x-8) = (x-1) (?x^2+?x+?) and draws a diagram.

1. Finish Priya's diagram
2. Write f(x) as the product of (x-1) and another factor.
3. Write f(x) as the product of three linear factors.
4. Make a sketch of y=f(x).

Answers

Given the polynomial f(x)=x³+5x²+2x-8 and f(1)=0.

Factorization is the process of determining the components of a given value or mathematical statement. The integers that are multiplied to create the original number are known as factors. The components of 18 include, for instance, 2, 3, 6, 9, and 18, as well as;

18 = 2 x 9

18 = 2 x 3 x 3

18 = 3 x 6

In a similar way, the factors in the case of polynomials are the polynomials that are multiplied to create the original polynomial. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3. We can also locate the polynomials' zeros after factorization. Zeroes in this situation are x = -2 and x = -3.

2. Now, to write f(x) as the product of (x-1) and another factor.

x³+5x²+2x-8 = (x-1)(x²-6x+8).

3. Now, to write f(x) as the product of three linear factors.

x³+5x²+2x-8 = (x-1)(x²-6x+8)= (x-1)(x-4)(x-2)

4. Look at the sketch below.

Learn more about factors of polynomials here-

brainly.com/question/26354419

#SPJ10

The histogram to the right represents the weights​ (in pounds) of members of a certain​ high-school math team.
How many team members are included in the​ histogram?

Answers

Answer:

The basic way to calculate the number of members is finding the area under the curve. The total members are 20

Step-by-step explanation:

The given graph shows that how many team members have a particular weight.

The first rectangle shows that 5 team members have a weight of 115kg.

The second rectangle shows that 3 team members have a weight of 115kg.

The third rectangle shows that 2 team members have a weight of 115kg.

The forth rectangle shows that 0 team members have a weight of 115kg.

The fifth rectangle shows that 3 team members have a weight of 115kg.

The sixth rectangle shows that 4 team members have a weight of 115kg.

The seventh rectangle shows that 3 team members have a weight of 115kg.

So, the total team members are = 5 + 3 + 2 + 0 + 3 + 4 + 3 = 20

For more explanation, refer the following link:

https://brainly.com/question/14395937

#SPJ10

options for 1 or two are not available but i got c= radical 125

Answers

Answer:

[tex]c=4 \sqrt{2}[/tex]

Step-by-step explanation:

Pythagoras Theorem

    [tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangle

Given values:

a = 4b = 4

Substitute the given values into Pythagoras Theorem formula and solve for c:

[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies 4^2+4^2 & =c^2\\16+16 & =c^2\\32 & =c^2\\ \sqrt{c^2}& =\sqrt{32}\\ c & =\sqrt{16 \cdot 2}\\& = \sqrt{16}\sqrt{2}\\& =4\sqrt{2}\end{aligned}[/tex]

Therefore, the measure of the third side of the given right triangle is [tex]4 \sqrt{2}[/tex]

Learn more about Pythagoras Theorem here:

https://brainly.com/question/26954703

https://brainly.com/question/27988757

Given: ∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB

Prove: ΔBCA Is-congruent-to ΔBFA

Answers

The proof is shown below

What is congruency?

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given:

∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB

Now, ∠BCA is congruent to ∠BFA      [reflexive property of congruence]

Also, AB= AB  (common)

Thus, we can conclude that Δ BCA≅ Δ BFA  by ASA criteria.

Learn more about congruence here:

https://brainly.com/question/7193968

#SPJ1

Derive tan(A+B)+tan(A+B)- tan(A+B)+tan(A+B).​

Answers

Step-by-step explanation:

the answer will be zero 0

Which is the graph of y-3 = -(x + 6)?

Graphing ?

Answers

Answer:

Step-by-step explanation:

Let's rearrange the equation (for my benefit):

y-3 = -(x + 6)

y = -x -6 + 3

y = -x -3

This is an equation of a straight line with slope of -1 and a y-intercept of -3 (y is -3 when x = 0).

See the attached graph.

Two students are registered for the same class and attend independently of each other, student a 90% of the time and student b 70% of the time. the teacher remembers that on a given day at least one of them is in class. what is the probability that student a was in class that day

Answers

The probability of student A is 15/44

Given student A is 70% of time and student B is 60% of time

We need to find the probability of student A

Using formula of conditional probability is P(X/Y) = P(X and Y) / P(Y)

Here X = A and Y = A or B

Therefore,

P(A/A or B) = P(A and (A OR B) / P (A or B)

Now, There is none complement for at least 1

We know that Student A attends 70 % of time

So , his absence is 30% of the time .

Hence the probability of absence is 0.3

Now Considering B in the similar way

We get,

Probability of the absence is 0.4

They are both absent (0.3)(0.4)= 0.12

Here we can say that 12 % of time both are absent

So one or another present on that time is 88%

The probability of present of the time is 0.88

Now calculating the probability,

P(A/A or B) = P(A and (A OR B) / P (A or B)

= 0.3/0.88

= 30/88

= 15/44

Hence the Probability Of A is 15/44

Learn more about Probability here https://brainly.com/question/24756209

#SPJ10

Please Help!!!! This Sucks

Answers

Answer:

Step-by-step explanation:

please help me
i'll mark u as brainiest if u get it right

Answers

Answer: a) 46 minutes
               
b) 10:47

The basic knowledge for this is that 60 minutes = 1 hour

a) Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes

Here you go! Total 46 minutes from Mosley to Bamford.

b) From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.


 ∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
   hope it helped
┗━━━━━━━┛

In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?

Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.

s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s

Answers

The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

How to determine the arc length?

The attached image completes the question

The given parameters are:

Angle = ΘRadius = r

Since, the angle is in radians.

The arc length is calculated as:

Arc length = Angle * Radius

So, we have:

s = Θ * r

Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

Read more about arc lengths at:

https://brainly.com/question/2005046

#SPJ1

A bag contains four red apples and six green apples. Alex takes out three apples from the bag at random, one after the other, without replacement. A) Draw a tree diagram to represent the possible outcomes. B) Determine the probability that Alex takes out three red apples. C) Determine the probability that Alex takes out one green apple and two red apples.

Answers

The probability that Alex takes out three red apples is 1/30.

The probability that Alex takes out one green apple and two red apples is 1/10.

What are the probabilities?

The probability that Alex takes out three red apples = (number of red apples / total number of apples) x (number of red apples - 1 / total number of apples - 1) x (number of red apples - 2 / total number of apples - 2)

4/10 x 3/9 x 2 /8 = 1 / 30

The probability that Alex takes out one green apple and two red apples = (number of green apples / total number of apples) x (number of red apples / total number of apples - 1) x (number of red apples - 1 / total number of apples - 2)

6/10 x 4/9 x 3/8 = 1 / 10

Please find attached the image of the tree diagram. To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

NEED HELP ASAP 1 HOUR LEFT

Answers

Using the vertex of a quadratic function, it is found that:

a) The revenue is maximized with 336 units.

b) The maximum revenue is of $56,448.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

The demand function is given by:

p(x) = 336 - 0.5x.

Hence, the revenue function is:

R(x) = xp(x)

R(x) = -0.5x² + 336x.

Which has coefficients a = -0.5, b = 336.

Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:

[tex]x_v = -\frac{336}{2(-0.5)} = 336[/tex][tex]y_v = -\frac{336^2 - 4(-0.5)(0)}{4(-0.5)} = 56448[/tex]

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

#SPJ1

HELPPPP ASAAPPPP PLEASEEEE

Answers

(A) n=w by the corresponding angles theorem.

(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary and not always equal.

(C) n=z by the alternate exterior angles theorem.

(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.

(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.

Segment AB is congruent to segment AB.t h s statement shows the ______ property.

Answers

Distributive property

If a varies directly as the square of b, and a = 4 when b = 3, find a when b = 2

Answers

Answer:

a = 46. Look down to find out more↓:

Step-by-step explanation:

a = kb²

4 = k(3)²

4 = k9

k = 4/9

a = 4/9(9²)

a = 4/9 (81)

a = 324/9

a = 36


Which is equivalent to 80^1/4x

Answers

Answer:

x=20

Step-by-step explanation:

80^1/4x

or,80/4=x

or,20=x

•°•x=20

ans

What are the solutions, if any, of the equation x2−25=−7?

Answers

Answer:

[tex]x=\pm3\sqrt{2}[/tex]

Step-by-step explanation:

1) Add 25 to both sides.

[tex]x^2 = -7 + 25[/tex]

2) Simplify -7 + 25 to 15.

[tex]x^2=18[/tex]

3) Take the square root of both sides.

[tex]x=\pm18[/tex]

4) Simplify [tex]\sqrt{18}[/tex] to [tex]3\sqrt{2}[/tex].

[tex]x=\pm3\sqrt{2}[/tex]

Which is a sum of cubes?

a3 + 18
a6 + 9
a9 + 16
a12 + 8

Answers

Answer:

a^12+8

Step-by-step explanation:

let's check all the expressions

1. a^3+18

here 18 is not a perfect cube.

2. a^6+9

here 9 is not a perfect cube.

3. a^9+16

here 16 is not a perfect cube.

4. a^16+8

here 8 is a perfect cube, thus we can write above expression by using laws of exponents as

(a^4)^3+2^3

Thus,  is a sum of cubes.

a^12+8

what is the answer??? so confused

Answers

Answer:

3  1/2

Step-by-step explanation:

Put '3' where 'y' is and compute :

[12 -3(3) ] / 2   + 3 [ (2(3)-4 )/3) =

   3/2              +   2  

    =   3  1/2

If 2 times the sum of two consecutive even numbers is greater than 94, what is the smallest possible value of the larger number?

Answers

Answer:

26

Step-by-step explanation:

Define the variables:

2n = first even number2n + 2 = consecutive even number

Given information:

2 times the sum of two consecutive even numbers is greater than 94

Create an inequality from the defined variables and the given information:

⇒ 2(2n + 2n + 2) > 94

Solve the inequality:

⇒ 2(4n + 2) > 94

⇒ 8n + 4 > 94

⇒ 8n > 90

⇒ n > 11.25

Therefore:

2n > 22.52n + 2 > 24.5

As 2n and 2n+2 are even numbers:

smaller number (2n) ≥ 24larger number (2n + 2) ≥ 26

Therefore, the smallest possible value of the larger number is 26.

Which of the following did you include in your response? Check all of the boxes that apply. the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or starting salary the maximum salary whether the maximum salary is a lot higher than the average and other salaries are a lot lower than the mean

Answers

Answer:

to be honest i don't know

Step-by-step explanation:

uh

Answer: its all

Step-by-step explanation:

it does not matter which one you pic, you just have to pick one.

In MODE, (second line), fix the number of decimal places to be 2. Then the slope and the y-intercept values of the LinReg line will round to the nearest hundredth. Find the LinReg line of best fit for the National Health Expenditures data. Then predict national health expenditures for 2010. (Hint: You may have to expand the calculator window to include the year 2010 on your screen.)

Answers

The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.

What is the equation of a line passing through two points?

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

In MODE, (second line), fix the number of decimal places to be 2.

Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.

(x₁, y₁) → (1997, 1093)

(x₂, y₂) → (2002, 1553)

Then we have

y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)

y – 1093 = [460  / 5] (x – 1997)

y – 1093 = 92 (x – 1997)

           y = 92x – 182631

If x = 2010, then the value of y will be

y = 92 × 2010 – 182631

y = 184920 – 192631

y = 2289

Learn more about straight-line equations here:

https://brainly.com/question/380976

#SPJ1

help i am struggling

Answers

Choice D. Add exponents of the 7’s on top, and subtract from bottom exponents to get 7^4. Then same idea it would be 2^-4 so 1/ 2^4. But since multiplying by 7^4 it would go on top, getting 7^4 / 2^4, which is choice D.

Answer: it's D

Step-by-step explanation:

Solve for x: 4(x + 2) = 3(x-2)

Answers

The answerrr is 18 for thisvprblme

At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected. O 3p+p-52 52+p-3p At the beach , Nardia collected triple the number of seashells that Pierre did . Together , they collected 52 seashells . Which equations represents p , the number of seashells that Pierre collected . O 3p + p - 52 52 + p - 3p​

Answers

Answer:

If Nardia is N and Pierre is P an equation that would represent this problem is 52-3n=p

Determine if the following scenarios are mutually exclusive or overlapping. Explain your reasoning.
1. You are taking a multiple choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.
2.You survey students in your school about what grade they are. Event A is the person is a senior. Event B is the person is a junior.

Answers

An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin.

What is an event in probability?

An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin. This experiment results in the coin landing 'heads' or 'tails.' These are the events that are associated with the experiment.

Scenario 1: You are taking a multiple-choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.

The two of the given events will overlap since there is a possibility that the correct answer is option D.

Scenario2: You survey students in your school about what grade they are in. Event A is the person is a senior. Event B is the person who is a junior.

The two of the given events are mutually exclusive events since a person can not be a senior and a junior at the same time.

Learn more about Events:

https://brainly.com/question/12961938

#SPJ1


If c = 7, then the value of b is...

Answers

Answer:

3.5

Step-by-step explanation:

The triangle shown is a 30-60-90 special right triangle. All right triangles that have a 30-degree angle will be, but if needed you can use the equation: 180 - (90 + 30) = x, to find the missing angle.

Special Right Triangles

Special right triangles are useful because they allow us to easily find missing sides without having to use sin, cos, or tan. All special right triangles have formulas that can be used to find missing sides.

Formulas

30-60-90 triangles have 3 sides: the hypotenuse (c), the short leg (b), and the long leg (a).

The formulas are as follows:

c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]

Solving for b

We are already given c, so the easiest way to find b is to use the formula b = 0.5c. Just plugin the c-value.

b = 0.5(7)

Once simplified the final answer is

b = 3.5
Other Questions
list two trends that resulted from the harlem renaissance A benzodiazepine such as _______________ can create physiological and psychological dependence and withdrawal and is therefore difficult to taper. Which expression is equivalent to (1sin)(1+sin)/cos2 for all values of for which (1sin)(1+sin)/cos2 is defined?Select the correct answer below:tan2tan+sectansec21 1) what are the preventive measures to protect world heritage site ? How does landscape affect settlement location The velocity is ___ when the distance is kept the same and the time is halved how can you be certain that jupiter's rings do not date from the formation of the planet? (select all that apply.) You are given the steps for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line. Arrange the steps in the proper sequence.Place the compass needle on the externalpoint R. Make the compass width greaterthan the distance from R to the given line.Draw an arc cutting the given line attwo points. Mark and label the pointsof intersection P and Q.Draw a line from the external point R tothe point where the arcs intersect, S.Line RS is perpendicular to line PQ andpasses through the external point R.Move the compass needle to P and make anarc below the line. Keep the compass width,and move the compass needle to Q. Draw anarc below the line crossing the other arc.Mark and label the point of intersection S. Janelle and Jacob are considering a $130,000 mortgage for 30 years at 4.8%. With this information, their monthly paymentwould be $682.06.If they make only the minimum payment each month, what is the total payback of this loan?How much of this total payback is interest? . In 1 hour, a car can cover 70 km. How much distance will it cover in 2 hours?I need it fast 100 POINTS+BRAINLIEST- Can someone elaborate on the statement "Senators serve for unlimited 6 year terms"? So at first it's similar to the presidency; Their terms typically last 6 years , but unlike presidents, they can get reelected as many times as they want?I dont need long essays just someone to tell me if im right or wrong and a brief explanation of what that phrase means :)))) What does the router on the WAN owned by your internet service provider dowith any packet it receives?A. The router reads the packet and sends it to another router on theinternet.B. The router sends the packet to a central computer in a secretlocation.C. The router sends the packet directly to individual devices all overthe world.D. The router stores the packet in an electromagnetic cloud for easyaccess. Three symptoms of spyware how has the internet affected culture Use the Internet or other sources to learn more about the life of Leonardo da Vinci. Make a list of ten surprising facts about this genius of the Renaissance:Use complete sentences and cite all of your resources.Submit a list of ten facts.When submitting written assignments, please remember to:Submit the assignment question(s) along with your responses.Proofread your work for spelling, grammar, and punctuation.Be careful to include complete sentence structure.Be aware that paragraphs need to have minimum of six sentences. Could someone help me with this question real quick? Read the following sentence and look for 3 direct statements about granma.Behind him hobbled granma, who had survived only because she was as mean as her husband.Based on the context clues, which statement about Granma is not true?A. She was mean.B.She was married.C. She was a widow.D. She was slightly handicapped. Linear equations in two variables Graph y = -4 then explain why it is not a function, can somone ELI5 An additional factor in how an element is rendered is that properties are passed from a parent element to its children in a process known as _____. style inheritance style link style indexing style portioning 12. A bag contains 12 red, 9 green and 5 black markers. If Cooper randomly selects 7 markers, how manyways could this be done if EXACTLY 6 are to be the same color?