Divide the polynomials 3x^3+x^2-4x+12 over x+2

Answers

Answer 1

Answer:

[tex]3x^{2} -5x+6[/tex]

Step-by-step explanation:

Factor the numerator and it should be [tex](x+2)(3x^2-5x+6) / (x+2)[/tex]. Cancel out both the [tex]x+2[/tex] so that the denominator becomes a 1.


Related Questions

I've been stuck on this for about 2 hours but it still doesn't make any sense to me, please helpppppppppp

Answers

I really hope this helps. I’m sure the answer is c:)

7 out of 10 doctors If there are 4200 doctors that prefer Cough-Up brand syrup, how many total doctors are there? * A)6000 B)2940 C)14000 D)1260​

Answers

answer: a) 6000

reason:

if 7 out of 10 doctors prefer cough up syrup, then that means 4200 is 7/10ths of the doctors
divide 4200 by 7 to get 600
then, multiply 600 by 10 to get 6000, the total number of doctors

Find the midpoint (1,2)(8,-9)

Answers

Answer:

(4,5)

Step-by-step explanation:

Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8

Answers

Answer:

The  position at time t  is  [tex]s(t) = 8t^2 - 14t -8[/tex]

Step-by-step explanation:

From the question we are told that

   The acceleration is  [tex]a = 16[/tex]

   The velocity at t = 0  is  [tex]v(0) = -14[/tex]

    The  position at time t =  0  is [tex]s(0) = -8[/tex]

Generally acceleration is mathematically represented as

     [tex]a(t) = \frac{d v}{dt }[/tex]

=>   [tex]\frac{dv}{dt} = 16[/tex]

=>   [tex]dv = 16 dt[/tex]

integrating both sides we have    

     [tex]\int\limits dv = \int\limits16 dt[/tex]

=>  [tex]v(t) = 16 t + c[/tex]

Now at t = 0  

     [tex]v(0) = 16 * 0 +c = -14[/tex]

=>  [tex]c = -14[/tex]

So

   [tex]v(t) = 16 t -14[/tex]

Generally the position of the body is mathematically represented as

     [tex]s(t) = \int\limits v(t)dt[/tex]

So

    [tex]s(t) = \int\limits 16t - 14 dt[/tex]

So  

    [tex]s(t) = 16 \frac{t^2}{2} - 14t + C[/tex]

Now  at t =  0

     [tex]s(0) = 16 \frac{0^2}{2} - 14(0) + C = -8[/tex]

=>    [tex]C = -8[/tex]

So

   [tex]s(t) = 8t^2 - 14t -8[/tex]

Rate of change of velocity with respect to time is known as acceleration.

Rate of change of displacement with respect to time is known as velocity.

Body position at time t is given by,   [tex]s(t)=8t^{2}-14t-8[/tex]

Data given are, a=16, v(0) = -14, s(0) = -8

Since,  [tex]\frac{dv}{dt}=a\\\\\frac{dv}{dt}=16\\\\dv=16dt[/tex]

Integrating both side

 We get,    [tex]v=16t + C[/tex]

Substituting v(0)=-14 in above equation

We get,   C = -14

  So,   [tex]v=16t-14[/tex]

Since, Rate of change of displacement with respect to time is known as velocity.

        [tex]v=\frac{ds}{dt}\\\\ds=vdt\\\\ds=(16t-14)dt[/tex]

Taking integration on both side

We get,   [tex]s=16\frac{t^{2} }{2}-14t+c[/tex]

Substituting s(0)= - 8 in above equation

We get,   [tex]c=-8[/tex]

So,  [tex]s=16\frac{t^{2} }{2}-14t-8\\\\s(t)=8t^{2} -14t-8\\[/tex]

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Find the distance between -6 and 10

Answers

Answer:

16

Step-by-step explanation:

Answer:

16 units

Step-by-step explanation:

Consider the absolute value of the difference of the points

| - 6 - 10 | = | - 16 | = 16 , or

| 10 - (- 6) | = | 10 + 6 | = | 16 | = 16

In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle E?

Help me solve thiss

Answers

Answer:

Angle E = 70°

Step-by-step explanation:

Given parallelogram RELA, where m<R = 110°, to find m<E, recall the properties of a parallelogram.

Angle R and angle E are consecutive angles in parallelogram RELA.

One of the properties of a parallelogram states that any 2 consecutive angles in a parallelogram are supplementary. That is, they add up to 180°.

Therefore:

m<R + m<E = 180°

110° + m<E = 180°

Subtract 110° from both sides

m<E = 180° - 110° = 70°

Find the mean of 35,42,41,32,30

Answers

Answer:

The mean is 36

Step-by-step explanation:

The mean of these numbers is 36.

Right to explain how this digit 6 changes value in number 666, 666, 666

Answers

To a higher number the six changes value in this number above

Answer:

devil!!!!!!!!!!!!!!!!

Step-by-step explanation:

Emily sells greeting cards. The graph models the linear relationship between the number of boxes of cards she sells and her profit.
Selling Cards
50
40
Profit (dollars)
30
20
10
0
4 5 6
Number of Boxes
Which of these best describes the profit Emily makes from selling these cards?

Answers

$7.50

just took the cfa or test on edguninty

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

The amount of profit for selling one box is $7.5.

Option A is the correct answer.

What is a linear relationship on a graph?

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

We have,

The graph models the linear relationship between the number of boxes of cards sold and its profit.

We see from the graph that when 4 boxes of cards are sold the profit made is $30.

This can be written as:

4 boxes = $30

Divide both sides by 4 we get,

1 box = 30/4

1 box = $7.5

Thus the amount of profit for selling one box is $7.5.

Option A is the correct answer.

Learn more about linear relationships on a graph here:

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The line plot shows the part of an hour that Tamika practiced the piano each day last week. How many hours did Tamika practice the piano last week?
A.4 1/2 B.1 1/2 C. 4 D. 3 3/4

Answers

Answer:

it is c

Step-by-step explanation:

got it correct on the quiz

What is the polynomial function of least degree whose only zeros are -4,2, and 3?

Answers

Answer:

never heard about it

Step-by-step explanation:

Ava is in charge of bringing bottled water to a party that has 42 guests.
Bottled water is sold in packs of 18 and each pack costs $16.92.
Part A: enter the total number of packs of water Ava will need to bring to the party if each guest is to have 1 bottle of water.
Part B: enter the total cost, in dollars, Ava will spend on bottled water for the party.

Answers

Answer:

a - about 3 packs cause you have to round up

b - $50.76

Step-by-step explanation:

First you divide 42 and 18.

42/18=2.33

You have to round up cause you can't have half of a pack, you can't just buy half of a pack.

So, it is rounded to 3 packs.

Next you have to multiply the number of packs and the cost of each pack of water bottles.

16.92*3=$50.76

a - you have to buy 3 packs

b - the total cost is $50.76

I don't have time to calculate I have to go somewhere. HELP ASAP! What is x+300=500

Answers

Answer:

x=200

Step-by-step explanation:

x+300=500move the constant to the rightx=500-300x=200

Answer:

[tex]x=200[/tex]

Step-by-step explanation:

[tex]x+300=500[/tex]

There is an easy way to solve this.

Let's do

[tex]500-300[/tex]

Since [tex]500-300[/tex] is equal to 200, then x would be 200.

[tex]x=200[/tex]

Hope this helps!

please answer thank you!

Answers

Answer:

X= -2

Step-by-step explanation:

Given: 16 = -4(x - 1) + 4

Solution:

Subtract 4 from both sides

12 = -4(x -1)

Divide -4 on both sides

-3 = x - 1

Add -1 on both sides

x = -2

3n-n+7=25

Please help me quickly!

Answers

Answer:

n = 9

Step-by-step explanation:

3n-n+7=25

2n +7 = 25

2n = 18

n = 9

I hope this helps!

-TheBusinessMan

Step-by-step explanation:

3n-n=25-7

2n=18

n=18/2

n=9

Fill in the next number in the list.
5. 6. 11. 17. 28. 45

Answers

5. 6. 11. 17. 28. 45 . 73

Here,

5 &6 are given,

Then,

5+6=11

6+11=17

11+17=28

17+28=45

So,

28+45=73

Answer:

73

Step-by-step explanation:

We are adding the two numbers before

5+6 = 11

6+11 = 17

11+17 = 28

17+28 = 45

28+45 =73

if a negative 10 became a positive 10 how many 100 centimeters are there in 4,057 squared feet?​

Answers

200 c squared feet in all
200 c Square feet in all

Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 40 are covered with chocolate chips and the rest are covered with sprinkles. How many cupcakes are covered with sprinkles?

Answers

Answer:

24 covered with peanuts

40 covered with choc chips

56 covered with sprinkles

Solve: x/3+1/4 =1/3 . Explain your work.

Answers

Steps to solve:

x/3 + 1/4 = 1/3

~Subtract 1/4 to both sides

x/3 = 1/12

~Multiply 3 to both sides

x = 1/4

Best of Luck!

A hiker starts at an elevation of 420 yards below sea level descends 1,400 yards and
before ascending for 4,600 yards. What is the elevation at the end of the hike?

Answers

3,620.

Step by step:

420-1,400=-980

-980+4,600=3,620

Two companies report a 15% gain in online sales over the last year. Suppose company Q had 25 online sales and company Z had 150 online sales last year. Do you believe their growth was the same? Justify your answer. ​

Answers

Answer:

Yes, it is possible.

Step-by-step explanation:

It is possible to have same profit rate.

The number of sales may demonstrate that the company Q with 25 online sales is smaller than the company Z with 150 online sales.

Or the company Q may have higher profit rate on individual sales than company Z.

Select the graph that shows the correct sum.

Answers

Answer:B

Step-by-step explanation:

E202 just did :)

Answer:

b

Step-by-step explanation:

edg 2020

PLEASE HELP!! WILL GIVE BRAINLIEST ANSWER TO THE FIRST PERSON

Answers

Answer:

See below.

Step-by-step explanation:

So, from the figure, we can see that US is the combined length of UT and TS. In other words:

[tex]UT+TS=US[/tex]

We are given their equations. Substitute them:

[tex](x-3)+(12)=(3x-11)[/tex]

And this is our answer to 4.

Now, solve for x. Add on the left:

[tex]x+9=3x-11[/tex]

Subtract -3x from both sides:

[tex]-2x+9=-11[/tex]

Subtract 9 from both sides:

[tex]-2x=-20[/tex]

Divide both sides by -2:

[tex]x=10[/tex]

So, for 5, the answer is 10.

And we're done!

Jessie made 3 shots out of 4 tries, how many shots will she make if she tries 12 shots (use a proportion​

Answers

Answer:

10 out of 12 which is [tex]\frac{5}{6}[/tex] when simplified

Answer:

9:12

Step-by-step explanation:

3:4 is the ratio of her shots to tries

x:12 is the ratio we want to find, so you can turn these into fractions: 3/4 to x/12

to find x you figure out what you multiply 4 by to get to 12, which is 3, so you multiply 3 by 3 and you get 9

so the answer is 9:12

25 tens=
______hundreds 5 tens

Answers

Answer:

2 hundreds.

Step-by-step explanation:

25 tens is equal to 250.

25 x 10 = 250

5 tens = 50, 5 x 10

250 - 50 = 200

200 = 2, hundreds.

Answer:

2 hundreds

Step-by-step explanation:

The sum of a number and six is eleven. Find the number.​

Answers

Answer:

17

Step-by-step explanation:

6 + 11 = 17

Sum (addition of 2 numbers)

Since the sum of a number and six is eleven, the number is equal to 5.

Let the unknown number be n.

To find the unknown number:

In this exercise, you're required to determine an unknown number by translating the word sentence into an algebraic equation.

Translating the word sentence into an algebraic expression, we have;

The sum of a number and six is eleven:

[tex]n + 6 =11[/tex]

Next, we would rearrange the equation by collecting like terms:

[tex]n = 11-6[/tex]

n = 5

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Write each statement as a decimal to two decimal places.

$6.00 to 95 cents =

Answers

Answer:

$6.00 to 95 cents = $6.95

Step-by-step explanation:

In currency the dollar is a whole number while the cent is a fraction of the dollar.

For the cent, every 100 cent is a dollar.

Converting the cent to dollar

100 cent = $1k

K= 100/1

95 cent = 100/1 x

95/100= x

0.95$= x

$6.00 to 95 cents = $(6+0.95)

$6.00 to 95 cents = $6.95

Which theorem can be used to show that △JKL ~ △MNP?

Answers

In this case the answer would be the last option

because it is shrunk by 2/3 on just the x side

D is the only one who has that first transformation

By a theorem of similarity, it can be shown that △JKL ~ △MNP.

What is the similarity?

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

Another example is all circles are similar circles.

The ratio of corresponding sides of similar objects is always the same.

Any two triangles will be similar if the ratio of their corresponding side is same.

If △JKL ~ △MNP then their corresponding side ratio will definitely same.

If corresponding side is same order in JKL and MNP then,

JK/KL = MN/NP

Hence "By a theorem of similarity, it can be shown that △JKL ~ △MNP".

To learn more about similarity,

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Need help ASAP!!!!!!!!!!!!

Answers

Answer:

[tex]-\frac{7}{2} x+12[/tex]

Step-by-step explanation:

if you need step by step explanation i will upload.

Lisa sold 6 more than 3 times as many cookies as Mike and then sold 3 more at the end of the sale. Barry sold 9 more than three times as many cookies as Mike. How many cookies did Mike sell ?

Answers

there is not enough information its an identity statement

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