Factor the polynomial expression 8x^3+1

Answers

Answer 1

[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.


Related Questions

Today, everything at the store is on sale. The store offers a 20% discount
If the regular price of an item is x dollars, what is the discount price in dollars?

Answers

Answer:

.8x dollars

Step-by-step explanation:

Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.

Answer:

$.80x

Step-by-step explanation:

0.80x

in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?

A) 60cm³

B) 84cm³

C) 72cm³

D) 98cm³​

Answers

Answer:

84cm cubic.

Step-by-step explanation:

That is how it is done.Hope it will help.

What is the volume of a pencil

Answers

around 19.05 centimeters or 7.4 inches

- is dilated to be ' ' ' '. The original is the center of dilation.


What scale factor is used to create the dilation?

Answers

The scale factor is 5

In the first image, you can see that the pre image square it 1 unit long and the image is 5. How do you get 1 to 5, you multiply by 5. So the scale factor is 5.

There are 4 consecutive EVEN integers that have a sum of 268. What are the integers?

Answers

64 + 66 + 68 + 70

hope this helps!

Answer:

2(x + 3) + 4(9x + 8) = ?

Answers

Answer:

38x + 38

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

1. =

Step-by-step explanation:

1.

R.H.S

5.2 + 5.a

(now taking 5 common)

5(2+a)


A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?

Answers

2:5 = 2+5=7
175 divided by 7 = 25
5 x 25 =125
2 x 25 = 50
mass of yogurt is 125

1,7,19,37,61,91,127,169…

Answers

Answer:

Sequence sum? but it has no right sequence

A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and
3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5

Answers

Ratio: 2/23 : 1/x

x is $11.5

So 1 pound of jelly beans cost $11.5

3/17 : 1/x

x is 5.67

So 1 pound of almonds cost $5.67

Answer:

Jellybeans are $2.25 per pound

Almonds are $1.25 per pound

Step-by-step explanation:

Let x = jelly beans Let y = almonds

Equation 1

5x + 3y = 15

Equation 2

2x + 6y = 12

Multiply Equation 1 by negative 2 to give

-10x - 6y = -30

Add this to Equation 2 to eliminate y

-10x  - 6y = -30       2x + 6y = 12

The y is eliminated leaving

-8x = -18

Divide both sides by negative 8 to give

x = 2.25

Substitute this value back into Equation 2 to solve for y

2x + 6y = 12    2(2.25) + 6y =12 .   4.50 + 6y = 12

Subtract 4.50 from both sides of the equation to give

6y = 7.50

Divide both sides by 6 to solve for y

y = 7.50/6

y= 1.25

graph 56x- 19= -8y + 5

Answers

Answer/Step-by-step explanation:

Solve

Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:

[tex]56x-19=-8y+5[/tex]

[tex]56x-19+19=-8y+5+19[/tex]                           [tex]\mathrm{Add\:}19\mathrm{\:to\:both\:sides}[/tex]                                            

[tex]56x=-8y+24[/tex]

[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex]                                                 [tex]\mathrm{Divide\:both\:sides\:by\:}56[/tex]

[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{56x}{56} = x\: (\mathrm{or}\: 1)[/tex][tex]-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{-8y+24}{56}[/tex][tex]\mathrm{Factor\:-8y+24}\\\mathrm{Rewrite\:as}\\=-8y+8\cdot \:3\\\mathrm{Factor\:out\:the\:common\:term\:8}\\=8\left(-y+3\right)\\\\=\frac{8\left(-y+3\right)}{56}\\\mathrm{Cancel\:the\:common\:factor:}\:8\\=\frac{-y+3}{7}[/tex]

[tex]\bold{x=\frac{-y+3}{7}}[/tex]

Graph

Now, we can graph. Graph the line using the slope and y-intercept, or two points.

[tex]\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)[/tex]

[tex]x\\0\\1[/tex]   [tex]y\\3\\-4[/tex]

What is 246,588 rounded to the ten thousands place?

Answers

246,588 rounded to the nearest 10 thousands place is 250,000

A T-shirt company charges $4 per T-shirt, plus a
flat shipping fee of $5. Terry bought some
T-shirts. How can you write an algebraic
expression to represent the total cost of Terry's
order including shipping?
Plz help plz

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

4 times the number of shirts, which is unknown, +$5 no matter how many.

Answer:

4x + 5

Step-by-step explanation:

Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.

I hope this helps!!

In(3x-1)+4 i don't know the answer

Answers

Answer:3x+5

Step-by-step explanation:

Answer:

In(3xe^4 - e^4)

Step-by-step explanation:

In(3x-1)+4

convert the constant to a log with base e:

In(3x-1) + In(e^4)

Simplify the expression:

In((3x-1)e^4)

Remove the parentheses:

In(3xe^4 - e^4)

Hope it help !

Using Pythagoras, find the lengths of the sides labelled with letters.

Answers

Answer:

Step-by-step explanation:

Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a multiple of 3.

Answers

Answer

1/3

Step-by-step explanation:

The solution set of inqulity 4>-2x in R is …

Answers

[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]

What is the equation of a line that goes through points (4,-5) and (-4, 1)?​

Answers

Answer:

y=-3/4x-2

Step-by-step explanation:

y=mx+b form (slope intercept form)

1) find slope

(4,-5) and (-4,1)

1-(-5)=6

-4-4=-8

m=6/-8 or 3/-4

y=-3/4x+b

Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)

in this case, I'll plug in (4,-5).

-5=-3/4(4)+b

Note that I substituted the y and x variables in place of one of the coordinates.

find b=-2.

Result: y=-3/4x-2

A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?

Answers

Answer:

2,771

Step-by-step explanation:

24 x 114 = 2736 + the 35 they threw away = 2,771

The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.

Answers

Answer:

130% increase

Step-by-step explanation:

(322-140)/140(100)=130% increase.

(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)

cross multiply, and you get 130%.

what is the order from least to greatest with the numbers 5 13/30 5 1/6 5 68/90

Answers

Answer:

Step-by-step explanation:

5 1/6, 5 13/30, 5 68/90

Find the slope of the line segment shown.
A) -1/2

B -1

C 1/3

D 1

Answers

the slope is 1 :) because it’s moving 1 square up and over (rise over run)

Answer:

D)

Step-by-step explanation:

The answer would be D. The slope of a line is how fast it climbs. Height divided by base. Up divided by over. Thus, if it goes across 3 and up 1, its slope would be 1/3. If it goes across 1 and up 2, the slope is 2. If it goes across 1 and up -1, the slope is -1.

HOPE THAT HELP YOU MARK ME BRINILYLIST

Can someone help me with this
giving out brainliest

Answers

Answer:

C

Step-by-step explanation:

Step 1: plot your 2 known points, (-2,3) and (1,0)

Step 2: after that, you should see that your y value should be a - and your x a +. You can eliminate A and B.

Step 3: check to see if C is a correct answer, (4,-3)

C is the answer, hope that helps

Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.

Answers

The expression for the total number of fish and plants in all the sets is 24x + 18y.

The given parameters:

Number of fish, = 24Number of plants, = 18

Let the total number of fish and plants = T

Let the total number of fish in all the sets = 24x

Let the total number of plants in all the sets = 18y

The expression for the total number of fish and plants in all the sets is calculated as follows;

T = 24x + 18y

Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.

The complete question is below:

Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set

Learn more about word problem to algebra here:  https://brainly.com/question/21405634

helppp pleaseeeeee I don’t understand

Answers

Answer: x=32, y=45, z=45

Step-by-step explanation:

Now, x is cut in half on a flat plane which is a supplementary angle (2 angles that add up to 180 degrees) so just subtract 148 from 180 and you get 32.

Since a line cuts y and z equally in half and the line it is connected to is perpendicular (right angle), we can safely say both angles are equal to 45 degrees.

The United States and Canada have the production possibilities curves shown above. It is determined that the United States has the comparative advantage in peanuts. Will both nations gain from trade if the terms of trade that are offered are 1 Peanut= 3 Corn? Why or why not? Show your work.


This is economics

Answers

It is false both nations will benefit if the terms of trade are  1 peanut = 3 corn.

What is the comparative advantage?

The comparative advantage refers to the ability of one company or nation to produce something at a lower cost. In this case, the U.S. can produce peanuts at a lower cost than Canada.

Will both nations benefit if they trade 1 peanut for 3 corn?

No, due to their differences in the amounts of units produced and their comparative advantage both nations will not benefit from this trade.

Canada: Canada can produce 60 corn for every 20 peanuts, this can be understood as a 1 peanut : 3 corn ratio, therefore, this country will benefit from the 1 peanut = 3 corn term.United States:  The United States produces 60 corn for every 60 peanuts or 1 peanut: 1 corn. Due to this, they will not benefit from the trade because this nation does not produce enough corn to meet the demand of 1 peanut = 3 corn.

Learn more about comparative advantage in: https://brainly.com/question/4461081

Y=x2+3x+1
when х= 5, y=?

Answers

Answer:

y = 41

Step-by-step explanation:

Substitute x = 5 into the equation

y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41

Ok done. Thank to me :>

Today 60 students rode their bicycles to Coast Middle School. If this is 75% of the students at the school, how many students attend Coast middle School?

Answers

Answer:

i think students attend Coast middle School 80 students

Step-by-step explanation:

students attend Coast middle School x students

75%x = 60

x = 60×100/75

x = 80

Answer:

80 students attend

Step-by-step explanation:

75% is the same as 3/4 so you divide 60 by 3 to get 20 then you can multiply that by 4 to get 80

A football team had 55 players at the start of the season

Answers

They would likely have 55 players at the end of the season

Sasha drinks 2.5 liters of water each
weekday. She drinks a total of 3 liters of
water on the weekend. What is the total
volume of water, in milliliters, Sasha drinks
each week?

Answers

Answer:

17000

Step-by-step explanation:

2.5

.5

11.0

3*2=6

11

+6

17

Other Questions
Can someone help me with this physics question? I don't know which answer is correct. Interest: TutorialQuestionCalculate the interest earned on each simple-interest account given the original principal, annual interest rate, and the lengthof time the account was held. Match each amount to the corresponding account description.Drag each tile to the correct box. Not all tiles will be used.Tiles$41.85$55.80$36.24$45.45$48.00$46.35Pairs$500 at 3.2% for 3 years$450 at 3.1% for 4 years$515 at 3% for 3 years gandang bungad to ah -5x + 7y = -3-3x - y = 19 10. Find three consecutive even integers such that the product of the first and the second is 92 morethan twice the third integer. ayudAa, me pueden decir leyendas interesantes, se los agradecera mucho Write the comparative form of the underlined word on theline to correctly complete each sentence.1. The puppy is adorable, but the kitten is the ability to acquire food on a regular basis meant that humans What is the percent increase of 24 to 32? Destination is your Destination 10 divided by 3 long division Combine the like terms to create an equivalent expression4q-(-8p)+10 3. The school volleyball team is hosting a car wash to raise money for its upcoming season. The coach spends $24 on supplies for the car wash. The team plans to charge $6 per car. How much money will the team make if 50 cars come to the car wash? The coach tells the girls they need to raise at least $400 to attend a camp the following week. How many cars do they need to come to the car wash to make enough money to go to the camp? Solve for x.(x+16)(4x-5)117913 MAX POINTS!!! Where did I go wrong? Please explain where I went wrong and redo it. =Let f(x) = 3x + 8, g(x) = 2x -12and h(x) = -4x=1a) f + g =1b) f-g=2b) g*f=2b) g-f= given that 5(x+k)=4x +. 20 and that x is positive show that k < 4 AHH HALP0.333 as a fraction0.666 as a fraction0.343434 as a fraction 1.432432 as a fractionPLZ I NEED IT IN THE NEXT FEW MINSI WILL GIVE BRAINLIEST TO WHOEVER GIVES THE BEST ANSWER AND THE CORRECT ANSWERPLEASE GIVE ME AN EXPLANATION AND A CORRECT ANSWER! THANK YOU(Also sorry for caps, I just really need those answers lol) what makes the french and american revolutions have in common If the mean of a data set is 100 and almost all the data is from 40 to 160, what is a good approximation of the variance?A) 120B) 20C) 900D) 400E) none of the above