Factor the polynomial expression 4x3 - 4.

Answers

Answer 1
Answer:  4(x - 1)(x^2 + x + 1)

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Work Shown:

4x^3 - 4

4(x^3 - 1)

4(x - 1)(x^2 + x + 1)

In the last step, I used the difference of cubes factoring formula which is

a^3 - b^3 = (a - b)(a^2 + ab + b^2)


Related Questions

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is arn interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.)

[infinity]

Σ (-1)n+1(x-8)/n8n

n=1

Answers

I'm guessing the power series given is

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1}\frac{(x-8)^n}{8^n}[/tex]

which you can condense somewhat into

[tex]\displaystyle -\sum_{n=1}^\infty \left(\frac{8-x}8\right)^n[/tex]

You should recognize this as a geometric series, which converges for

[tex]\left|\dfrac{8-x}8\right|<1 \implies |8-x|<8 \implies \boxed{0 < x < 16}[/tex]

on the unit circle, which of the following angles has the terminal point coordinates of (\sqrt(2))/(2),-(\sqrt(2))/(2)
a)5pi/4
b)pi/4
c)3pi/4
d)7pi/4

Answers

Answer:

c)3pi/4

Step-by-step explanation:

kPLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2

Answers

The answer to part A is correct. You basically have to find the area of that L shape, and subtract off the area of the shaded trapezoid.

To get part B, you need to find the perimeter. This is because the trim runs along the bottom edge of the wall. Refer to the diagram below. Adding up the exterior sides gets us:

12+12+4+8+8+4 = 48

So she needs 48 meters of trim.

I'm not sure what your teacher means by "what assumptions do you make". If your teacher is referring to something like making room for a door, then we'll have to subtract some value from that 48. The problem with this though is that we don't have any clue how wide the door is. So you'll have to ask your teacher for clarification.

Luckily, this value 48 is an overestimate of the amount of trim Jennifer needs to buy. In my opinion, it's better to overestimate than underestimate, which saves from having to make another trip to the hardware store.

A telephone long distance carrier charges customers $0.99 for the first 10 minutes and then $0.09 for each minute beyond 10 minutes. If Mary uses this carrier, how long can she talk for $5.00

Answers

Answer:

5 minutes

Step-by-step explanation:

5 * $0.99 = $4.95

factorise. X^5+X^4+1. ​

Answers

Answer:

Answer

5.0/5

2

poojamaurya21

Virtuoso

133 answers

14.9K people helped

Answer:

): "x2" was replaced by "x^2". 4 more similar replacement(s).

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

x6 - x5 + x4 - x3 + x2 - x =

x • (x5 - x4 + x3 - x2 + x - 1)

2.2 Factor x5 - x4 + x3 - x2 + x - 1

Try to factor this 6-term polynomial into (2-term) • (3-term)

Begin by splitting the 6-term into two 3-term polynomials:

-x2 + x - 1 and x5 - x4 + x3

Next simplify each 3-term polynomial by pulling out like terms:

-1 • (x2 - x + 1) and x3 • (x2 - x + 1)

Note that the two simplified polynomials have x2 - x + 1 in common

Now adding the two simplified polynomials we get

(x3 - 1) • (x2 - x + 1)

identify the area of a regular decagon with side length 2 m rounded to the nearest tenth

Answers

Answer:

Area = 14.8

Step-by-step explanation:

Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )

This formula given the side length, calculates the area.

a = 2

Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )

Area = 2.5 + 4 * sqrt(5 + 2*2.236)

Area = 2.5 + 4* sqrt(5+ 4.4721)

Area = 2.5 + 4*sqrt(9.4721)

Area = 2.5 + 4*3.0776

Area = 2.5 + 12.3107

Area = 14.8107

Answer:

A ≈ 30.8 m2

Step-by-step explanation:

C/4+ 2=5 what it’s the value of c

Answers

Answer:

c = 12

Step-by-step explanation:

i'm Attaching the work

Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 ¾ ​ feet long.
Each president's picture is 6 inches wide.

4. How would your answer change if the pictures were 10 inches wide? Explain.

Answers

Answer:

The number of pictures changes from 8 to 4.

Step-by-step explanation:

I assume the first question was the number of pictures that could be placed when the pictures are 6 inches wide.

Let's first answer the first question.

Wall length: 9.75 ft

Window: 5¾ ft = 5.75 ft

Available wall space for pictures:

9.75 ft - 5.75 ft = 4 ft

Now we convert 4 ft to inches.

1 ft = 12 inches

4 ft = 4 * 12 inches = 48 inches

There is 48 inches of wall space to place pictures that measure 6 inches each.

48 inches / 6 inches = 8

Originally, there is room for 8 pictures.

Question 4.

Each picture is 10 inches wide.

There is still 48 inches of wall space for the pictures.

48 inches / 10 inches = 4.8

There is room for 4.8 pictures. Since Mr. Hamilton will place only whole picture, he can only place 4 pictures now.

Answer: The number of pictures changes from 8 to 4.

Which whole number property is represented?

(8 × 2) × 6 = 8 × (2 × 6)

Answers

Answer:

(8 × 2) × 6 = 8 × (2 × 6) represents associative property of whole number.

Please help ASAP!!!Please explain your answer

Answers

Answer:

Below

Step-by-step explanation:

Use the formula 2πr^2 + 2πrh to find the Surface area of a cylinder

A = 2π(11)^2 + 2π(11)(11)

  = 1520.53084....

Rounding to the nearest 10th

  = 1520.5 in^2

Hope this helps!

Fill in the missing statements and reasons in the proof

Answers

Answer:

1. Given

2. Vertical angle theorem

3. AB≅DB, EB≅CB, m<ABC≅m<DBE

4. △ABC ≅ △DBE

Hope this helps :D

Use ratios to convert each measurement.

1. 3 yards = _____ feet
2. _____ cups= 5 gallons
3. 72 inches =_____ yards
4. ______ ounces = 5 pounds
5. ______ inches =7 feet
6. 24 feet = _____ yards
7. 40 pints = ______ gallons
8. 16 cups = ______ quarts and
9. ________ inches = 4 yards
10. 48 ounces = ________ Pounds ​

Answers

Answer:

1. 3 yards= 9 feet

2. 78 cups=5 gallons

3. 72 inches = 2 yards

4. 80 ounces = 5 pounds

5. 84 inches = 7 feet

6. 24 feet = 8 yards

7. 40 pints = 5 gallons

8. 16 cups = 5 quarts

9. 144 inches = 4 yard

10. 48 ounces = 3 pounds

Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.

Answers

Answer:

136

Step-by-step explanation:

Surface area=2*(lb+bh+lh)

=2*(12+42+14)=2*68=136

AYUDAAAAA
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo
27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?

Answers

Answer:

27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.

Step-by-step explanation:

Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:

[tex]x = 27\,L\times \frac{1.7\,L}{1\,L}[/tex]

[tex]x = 45.9\,L[/tex]

27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.

Please help me ASAP!! Please explain your answer

Answers

Answer:

113.1 cm²

Step-by-step explanation:

V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] r² h

h = 12 cm , r = 3 cm , [tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]

V ≈ 113.1 cm²

if 30% of students like pineapple and 15% of them like banana , how many more students favour pineapple?

Answers

30 % like pineapple
15 % like banana
The percentage is of 100%
30/100 like pineapple and 15/100 like banana = 15 % more students favor pineapple

2 1/4 + 3 5/8


I know I am just trying to make sure so please tell me I will give brain thing

Answers

Answer:

[tex] \frac{21}{4} + \frac{35}{8} \\ = \frac{77}{8} \\ = 9 \frac{5}{8} [/tex]

The answer is 47/8, or 5 7/8.

Explanation: Since the denominators don't match, we have to find the LCD, or least common denominator, which is 8, so, 4 times 2 is 8, which means they match up. then we need to add the whole numbers, 2+3=5, so 5 7/8 is your final answer, hope this helps :)

May I please have brainliest!

Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.

Answers

[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]

[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]

[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]

Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 feet. How many feet of fencing does he need to go around the whole garden?

Help pls!!

Answers

Since the area of any thing is length time width, we can divide 4864 by 152 to get the width of the garden. This gives us 32. Now we need to add 152 + 152 + 32 + 32 to get our total feet of fencing necessary. This would give us 368 feet of fencing.

Fencing required to go around the whole garden = 368 feet

To calculate the fencing needed, given measures in the question,

Total area of the garden is 4864 square feet.Length of the garden is 152 feet.

Since, area of a rectangular garden is given by the expression,

Area = Length × Width  

4864 = 152 × Width

Width = [tex]\frac{4864}{152}[/tex]

          = 32 feet

Since, length of the fence needed = Perimeter of the garden

And Perimeter of a rectangular garden is given by the expression,

Perimeter = 2(length + width)

By substituting the values of length and width of the garden in the expression,

Perimeter = 2(152 + 32)

                 = 368 feet

       Therefore, 368 feet of the fence will be required to go around the whole garden.

Learn more,

https://brainly.com/question/22073676

Divide the sum of 65/12 and 8/3 by their difference.

Answers

Answer:

97/4752

Step-by-step explanation:

So, this problem sounds hard but it is actually simple.

First, add

65/12 + 8/3 = 97/12

Next, subtract

65/12 - 8/3 = 33/12

Then, divide

97/12 ÷ 33/12 = 97/4752

Hope this helps! :)

PLEASE HURRY!!!


Find the area of the region that is NOT shaded.

Answers

Answer: 122 square feet

Explanation:

The larger rectangle has area of 14*15 = 210 square feet.

The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.

The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet

Give one pair of supplementary angles and one pair of vertical angles shown in the figure below.
(a) Supplementary angles:
(b) Vertical angles:

Answers

Answer:

<5 and <6 are supplementary angles

<1 and <6 are vertical angles

X
50
50
X =
degrees

Please help with this problem I am going crazy

Answers

Answer:

x=80°

Step-by-step explanation:

Triangles always add up to 180°.

As you have 2 angles, you would have to add them together and then take it away from 180° to get your answer.

50+50=100°

180-100=80°

Hope this helps :)

Answer:

x = 80°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for x

x = 180° - (50 + 50)° = 180° - 100° = 80°

2+9 +11+98+99999999999999999

Answers

Answer:

1.000000000000012e+16

Step-by-step explanation:

uh

If f(x) = 3 ^ x, prove that f(x) + f(x + 1) = 4f (x) .

Answers

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = [tex]3^{x}[/tex] , then

f(x + 1) = [tex]3^{x+1}[/tex] = [tex]3^{x}[/tex] × 3

Then

f(x) + f(x + 1)

= [tex]3^{x}[/tex] + 3. [tex]3^{x}[/tex] ← factor out [tex]3^{x}[/tex] from each term

= [tex]3^{x}[/tex] (1 + 3)

= 4. [tex]3^{x}[/tex]

= 4f(x)

What is the slope of the line x = 4?

Answers

Answer:

verdical lines have an undefined slope so it might be 4

I think it might be 4 also

marked price of an item is 4000, what will be it's selling price having 20% discount and 10% vat.​

Answers

Answer:

I HOPE IT WILL HELP

EXPLANATION IS IN THE PHOTO .

Another way to do it is by

Multiplying the original value by the discounted percent, the percent taxed but add one to it.

(4,000)(.80)(1+10/100)= 3,520

4000 is the original value
.80 is the value of the item with 20% off
1.1 gives value after tax, adding the one allows you to see the value of the item after tax.




A factory produces 1, 250, 000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, N (in millions), being produced in t years?

Answers

The question is incomplete, the complete question is;

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?

A. n= 2.5(1.5)/t, t cannot = 0

B. n= 1.5t^2 + 1.25

C. n= 1.5t + 1.25

D. n= 1.25(2.5^t)

Answer:

D. n= 1.25(2.5^t)

Step-by-step explanation:

This is an exponential growth problem. In mathematics, for an exponential growth problem;

P = Po(1 + r)^t

Where;

P= amount at time t

Po =initial amount

r= rate

t= time

In the context of the question we have;

n= 1.25(1 + 150/100)^t

n= 1.25(2.5)^t

What is the answer? Don’t give me 4.

Answers

Answer:

what?

Step-by-step explanation:

‎‎‎‎‎‎‎........................................................................

You didn’t attach a photo …

2x+5
---------
x+1
hãy giupd tôi

Answers

2x+5

x+1

2+3.......

x+1

Answer:

ask your teachehope help

and search on somewhere I search it there is so many answer

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