Divide x^4 + 2x^2 + 1 by x+1 .​

Answers

Answer 1

Answer:

[tex]=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]

Step-by-step explanation:

[tex]\frac{x^4+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{x^4+2x^2+1}{x+1}:\quad \frac{x^4+2x^2+1}{x+1}=x^3+\frac{-x^3+2x^2+1}{x+1}\\=x^3+\frac{-x^3+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{-x^3+2x^2+1}{x+1}:\quad \frac{-x^3+2x^2+1}{x+1}=-x^2+\frac{3x^2+1}{x+1}\\=x^3-x^2+\frac{3x^2+1}{x+1}\\\mathrm{Divide}\:\frac{3x^2+1}{x+1}:\quad \frac{3x^2+1}{x+1}=3x+\frac{-3x+1}{x+1}\\=x^3-x^2+3x+\frac{-3x+1}{x+1}\\\mathrm{Divide}\:\frac{-3x+1}{x+1}:\quad \frac{-3x+1}{x+1}=-3+\frac{4}{x+1}\\=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]


Related Questions

At a sale, dresses were sold for $90 each. This price was 75% of a
dress's original price. How much did a dress originally cost?

Answers

Answer:

A dress originally costs $120

Step-by-step explanation:

To find the original cost of the dress, we will follow the steps below;

let x represent the original cost of the dress

75% of x  = $90

[tex]\frac{75}{100}[/tex]  ×    x   = $90

[tex]\frac{75X}{100}[/tex]  =   $90

MULTIPLY both-side of the equation by 100

[tex]\frac{75X}{100}[/tex] × 100 =   $90×100

At the right-hand side of the equation, 100 will cancel out 100, leaving us with just 75x

75x = $9000

DIVIDE both-side of the equation by 75

75x/75 = $9000/75

At the left-hand side of the equation 75 will cancel-out 75 leaving us with just x

x=  $9000/75

x = $120

A dress originally costs $120

what is the measure of theta in radians?

Answers

Answer:

1.5 radians

Step-by-step explanation:

theta= arc length/radius

6/4= 1.5 radians

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 727272 pencils and 242424 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?

Answers

Answer:

3 pencils will be in each package

Step-by-step explanation:

72 Pencils

24 calculators

72/24  = 3/1

for Every one calculator 3 Pencils need to be used

Greatest number of Package = 24 as 24 Calculators are there

number of pencils in each package = 3   ( 72/24 = 3)

Answer:

3 pencils will be in each package

Step-by-step explanation:

You divide 727272 by 242424 to get 3

2/v-7+v-6/v^2-7v=4/v-7

Answers

Answer:

v≈ -1.65573 ,v≈6.91725

Step-by-step explanation:

[tex]\frac{2}{v}-7+v-\frac{6}{v^2}-7v=\frac{4}{v-7}\\\mathrm{Find\:Least\:Common\:Multiplier\:of\:}v,\:v^2,\:v-7:\quad v^2\left(v-7\right)\\=\frac{2}{v}v^2\left(v-7\right)-7v^2\left(v-7\right)+vv^2\left(v-7\right)-\frac{6}{v^2}v^2\left(v-7\right)-7vv^2\left(v-7\right)=\frac{4}{v-7}v^2\left(v-7\right)\\Simplify\\=2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2\\\mathrm{Solve\:}\:2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2:\\[/tex]

[tex]v[/tex] ≈ -1.65573

[tex]v[/tex] ≈ 6.91725

v=0, v=7

Answer:

v=0, v=7

Step-by-step explanation:

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nearest whole number.

Answers

Answer:

the volume of the sphere is

[tex]33.51 in^{3}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v =   64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

[tex]v= l*b*h[/tex]

[tex]v=l^{3}[/tex]

[tex]64= l^{3}[/tex]

[tex]l= \sqrt[3]{64}[/tex]

[tex]l= 4 in[/tex]

also diameter d=length l

Diameter d=  [tex]4in[/tex]

Radius r =  [tex]\frac{d}{2}[/tex]= [tex]\frac{4}{2}[/tex]= [tex]{2 in}[/tex]

Height h=[tex]4in[/tex]

we know that the volume of a sphere is given by

[tex]v= \frac{4}{3} \pi r^{3}[/tex]

substituting into the formula we have

[tex]v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}[/tex]

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

As I divided in the picture,

Total area = area of triangle + area of 2 rectangles          

                 =  base x height/2 + length1 x width1 + length2 x width2

                 = 15 x (15 + 3 + 5 - 3)/2 + 3 x 4 + 8 x (3 + 5)

                 = 226

Hope this helps!

:)

A horizontal line goes through the point (–7,10).

Which statements are true about this line? Check all that apply.
The slope of the line is zero.
Another point on the line is (3,10).
The y-intercept of the line is –7.
The equation of the line is y = 10.

Answers

Answer:

The slope of the line is zero

Another point on the line is (3,10).

The equation of the line is y = 10.

Step-by-step explanation:

an i get brainliest plz

Answer:

got right on edge

Step-by-step explanation:

1. 10pints = ? quarters
2. 48fl oz = ? cups
3. 36pints = ? quarters
4. 5 gallons = ? cups
5. 72 pints = ? gallons
6. 7 cups = ? fl oz
7. 30 quarters = ? gallons
8. 32 cups = ? gallons

Answers

Answer:

1. 5quarts

2. 6 cups

3. 18 quarts

4. 80 cups

5. 9 gallons

6. 56fl oz

7. 7.5 gallons

8. 2 gallons

Step-by-step explanation:

what is the value of x

Answers

Answer:

x = 73°

Step-by-step explanation:

a whole circle = 360°

so x + 50° + 91° + 2x = 360°

x+ 2x = 360°- 91° - 50°

3x = 219°

x = 219° ÷ 3

x = 73°

HOPE THIS HELP YOU!!! ;))))
X should equal to 73 degrees as the pi chart shows

Skylar drove 280 miles in 5 hours. If she continued at the same rate, how far would
she travel in 20 hours?

Answers

Answer:

1,120

Step-by-step explanation:

If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120

When a person is selected at random from a very large population, the probability the selected person has green eyes 0.37. What is the probability that 4 people selected at random all have green eyes? Round your answer to 3 decimal places.

Answers

Answer:

0.019

Step-by-step explanation:

Here, we want to calculate the probability that 4 people selected at random have green eyes.

The probability of having green eyes = 0.37

Now, we are selecting 4 people and we want to calculate the probability that all have green eyes

That would be;

0.37 * 0.37 * 0.37 * 0.37 = 0.01874161 which is 0.019 to 3 decimal places

Please help me!! What is x?

Answers

Answer:

x = 64

Step-by-step explanation:

90 + x + 26 = 180

116 + x = 180

x = 180 - 116

x = 64

Answer:

x=64

Step-by-step explanation:

x and 26 are complementary, which means they add to 90 degrees.

x+26=90

We want to find x, so we have to get x by itself. 26 is being added on to x. To undo this, subtract 26 from both sides, because subtraction is the opposite of addition.

x+26-26=90-26

x=90-26

x=64

So, x is 64 degrees

Solve for x in the equation x2+4x-4-8.

Answers

Answer:

x = 6

x = -2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took the quiz

Use the Distributive Property to simplify the expression.

2(x+12) = ???

Answers

Answer:

2x+24

Explanation:

1. 2•x=2x

2. 2•12=24

Hey there!

The Distributive Property states that

a(b+c)=ab+ac

Where

a, b, and c can be

constants (real numbers)variables (letters)

Now, let's simplify:

2(x+12)

multiply 2 times x and 2 times 12

2x+24

Hope everything is clear.

Let me know if you have any questions!

#LearningIsFun

:-)

Complete the equation of the line thought (-6,-5) and (-4,-4) y= ?

Answers

Answer:

Step-by-step explanation:

Sita and rita make remarks on question 4a b c sita says she can only make one equation which satisfies the given cindition rita says she can make infinite no. Of equations which satisfies the given conditions whom do u agree with justify your answer

Answers

Answer: I agree with Sita.

Step-by-step explanation:

An infinite number is a very big number which is impossible to physically achieve. I agree with Sita because when Rita is forming equations on and on to an extent of not knowing when to stop. That is when she can say to infinite. And I don't think this is possible.

Please help! Correct answers only please!

You roll a 6-sided die two times.

What is the probability of rolling an odd number and then rolling a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

The answer would be 2/3.

Step-by-step explanation:

There are 6 faces on a dice 3 of which are odd which would be 1/2. Then there is one face on a dice that has 3 dots on it which would 1/6. So 1/2+1/6= 4/6 which simplifies to 2/3.

The ratio of the number of squares to the number of triangle is _: _. The number of triangles that need to be added to make the ratio of the number of squares to the number of triangles 1:1 is _.

Answers

Answer:

5:2

6

Step-by-step explanation:

I simplest form it is 5:2

You need 6 more triangles

What is the area A of each cookie ?

Answers

Answer:

16pi or approx. 50.26

Step-by-step explanation:

Since the diameter of each cookie is 8 cm, the radius of each cookie will be 4 cm. We can use the area of the circle formula (A = πr²), we can find that the area of each cookie is 16π, or around 50.26

Answer:

A = 16π

I hope I helped you! If I am correct, please mark me brainiest. Thanks!

780 miles on a full tank of 16 gallons find the rate of miles

Answers

Answer: 48.75

Step-by-step explanation:

Divide.

780/16=48.75

Answer the question below.

Answers

Answer:

1247.03

Step-by-step explanation:

if £1=$1.35

?=$125(crisscross them to get an answer.)

$125×£1÷$1.35=£92.59

if £1=$1.35

?=$6(crisscross to get an answer.)

$6×£1÷$1.35=£4.44

so you add them all up

£1150+£4.44+£92.59= £1247.03

What is the slope of the line?

Answers

Answer:the slope is 2

Step-by-step explanation:

rise over run 2/1

Answer:

2

Step-by-step explanation:

The line rises by 2 and runs by 1.

Evaluate the expression.
6. 14 - (9 + 8)2=

Answers

Answer:

-20

Step-by-step explanation:

14 - (9 + 8)2

Open bracket

14 - (17)2

14 - 17×2

14 - 34

= -20

Which of the following is NOT a perfect square trinomial?


x^2+10x+25

x^2+16x+64

x^2+7x+49

4x^2+16x+16

Answers

The second one is a perfect square trinomial
X^2+16x+64

pls help what are u supposed to do?

Answers

Answer:

plz give brainlyst anwser but it is depentendent

Step-by-step explanation:

Evaluate the expression m÷n for m=2 and n=14.

Answers

Answer:

1/7

Step-by-step explanation:

Plug in 2 for m, and 14 for n in the expression:

m/n = 2/14

Simplify. Factor out common factors from both the numerator and denominator:

(2/14)/(2/2) = 1/7

1/7 is your answer.

~

Answer:

1/7

Step-by-step explanation:

2/14= 1/7

hope this helps

The following wedge prism has a volume of
(1) 12.5 cubic inches
(2) 19 cubic inches
(3) 27 cubic inches
(4) 54 cubic inches

Answers

Answer:

The volume of the prism is 27 cubic inches.

Step-by-step explanation:

In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:

[tex]Volume = \frac{1}{2}*b*h*l[/tex]

Applying the data from the problem on the equation above, we have:

[tex]Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27[/tex]

The volume of the prism is 27 cubic inches.

Can someone help me pls

Answers

Answer:

YES

Step-by-step explanation:

57+45=102.

The triangle needs to have angles that add up to 180 so..

180-102=78

and that is the other degree instead of 45 on the other triangle

el volumen de un cubo es de 125 cm3 ¿ cuantas veses aumentara el volumen de ese cubo si se duplica la medida de su arista

Answers

Answer: 8 times.

Step-by-step explanation:

I will answer in English:

This says:

The volume of a cube is 125cm^3

How many times the volume will increase if we duplicate the lenght of the side?

If L is the lenght of the side, we have that the volume of the cube is:

V = L^3

If we duplicate the lenght of the side, the new volume is:

V = (2*L)^3 = 8*L^3

So we can see that the volume of the new cube is 8 times the volume of the previous cube.

Now,  we can do the math, for our original cube we have:

L^3 = 125cm^3

L = 5cm

the new cube has L' = 2*L = 10cm

The volume of this cube is:

V' = L'^3 = 10cm^3 = 1000cm^3

the ratio V'/V is:

1000cm^3/125cm^3 = 8

5. Every day of the week, Braxton earns $5 per hour for delivering newspapers. Braxton
also earns a weekly bonus of $15 if he arrives on time to work each day. Last week,
Braxton arrived on time to work every day and earned a total of $130 for h hours of
work. Based on this situation, how many h hours did Braxton work?
A 21 hours
B. 22 hours
C 23 hours
D. 24 hours

Answers

Answer:

23 hours

Step-by-step explanation:

If you multiply 5 by 26 you get 130. So by doing a little math you can find that 23 times 5 is 115, so then you add 15 and there you go. You've got your answer.

Hope this helped!!! :)

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