one factor of 8x^3+1 is 2x+1 The other factor is?

Answers

Answer 1
First, write 8x^3 in exponential form (8 is basically the same as 2^3)


So that you have 2^3*x^3+1


Multiply the terms with equal exponents by multiply the bases (1 is basically the same as 1^3)


So that it becomes (2x)^3+1^3



Then, using a^3+b^3 equals (a+b)(a^2-2ab+b^2), factor the expression so that it becomes
(2x+1)((2x)^2-2x+1^2)

Expand the second bracket


So the two factors are (2x+1) and (4x^2-2x+1)


Related Questions

32 + -3 • 4 – (–5) =

Answers

Answer:

The correct answer would be 25

Step-by-step explanation:

32+(−3)(4)−(−5)

=32+−12−(−5)

=20−(−5)

=25

Hope this helps have an amazing day!!

Answer:

121

Step-by-step explanation:

32+(-3)×4-(-5)

29×4-(-5)

116-(-5)

116+(+5)

121

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(

Answers

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

a force of 12N acts for 5 s on a mass of 2 kg. What is the change in momentum of a mass of 10kg under the same condition​

Answers

Answer:

The change in momentum is: 60 N.s

Step-by-step explanation:

By Newton's second law:

F = ∆p / ∆t

Given that

∆t = 5sF = 12N

Using the formula to determine the change in momentum

F = ∆p / ∆t

∆p = F × ∆t

     = 12 × 5

      = 60 N.s

Therefore, the change in momentum is: 60 N.s

PLEASE HELP
An 18 ounce jar contains 510 grams of grape jelly. How many kilograms of grape jelly does the jar contain?

1 kg = 1000 grams

A) 5.1 kg

B) 0.52 kg

C) 0.51 kg

D) 51 kg

Answers

Answer:

the answer is 5.1 killograms

Step-by-step explanation:

hope this helps

6. Michelle orders cupcakes that come in a carboard box. The box has the dimensions shown. What is the perimeter of the base? b. What is the height of the box? What is the area of the base
9in,10in,11in​

Answers

Can u send a pic of the square kinda hard without it

iogmkiuAnswer:

Step-by-step explanation:

gjkih

Question 2 of 20
Which of the following is the range of the function based on the input-output
table below?
Hours
of training
5
10
15
Pay
per month
1100
1200
1300
20
1400
25
1500
30
1600
1700
35
A. (1100, 1200, 1300, 1400, 1500, 1600, 1700}
B. 1700, 35,1600, 30, 1500,25)
C. (5.10, 15, 20, 25, 30, 35)
D. (5, 1100, 15.1200, 25, 1300)

Answers

Given:

The function on the Input output table.

To find:

The range of the given function.

Solution:

We know that, range is the set of output values.

From the given table it is clear that, hours of training is the input variable and pay per month is the output value.

So, range of the given function is the set of pay per month.

Range = {1100, 1200, 1300, 1400, 1500, 1600, 1700}

Therefore, the correct option is A.

Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set, and P = {1, 3, 5, 7}. What is upper P superscript single-quote baseline? (1 point) A. {2, 4, 6, 8} B. {1, 2, 3, 4, 5, 6, 7, 8} C. {1, 3, 5, 7} D. {1, 3, 5, 7, 8}

Answers

Answer:

A. {2, 4, 6, 8}

Step-by-step explanation:

"U" is the set of whole numbers form 1 to 8

"P" is the set of odds within that, so that leaves P' as the evens.

The diagram above shows a right prism container filled with water up to 8 cm in height.

Question : Calculate the volume,in cm³,of water needed to completely fill up the container.​

Answers

nvm ima delete this sry I thought I could do It lol

NEED HELP ASAP, WILL GIVE BRAINLIEST

What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)​

Answers

Given:

The equation of circle is

[tex](x+3)^2+y^2=9[/tex]

To find:

The polar form of given circle.

Solution:

We have,

[tex](x+3)^2+y^2=9[/tex]

[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex]        [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex](x^2+y^2)+6x+9=9[/tex]

Subtracting 9 from both sides, we get

[tex](x^2+y^2)+6x=0[/tex]

We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].

[tex]r^2+6(r\cos \theta)=0[/tex]

[tex]r(r+6\cos \theta)=0[/tex]

[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]

We know that, r is radius it cannot be 0. So,

[tex]r+6\cos \theta=0[/tex]

[tex]r=-6\cos \theta[/tex]

Therefore, the correct option is A.

SOLVE ASAP:
mass of 42.5 and a volume of 5.4 cm3 what is its density

Answers

I think it is..................

Answer:

7,870,370

give me brainliest

Una familia, formada por 3 adultos y 6 niños, va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €. Por cada 3 entradas que se compran rebajan 4 €. ¿Cuánto paga la familia?

Answers

Answer:

La familia paga 72 €.

Step-by-step explanation:

Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.

Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.

3 adultos* 12 €= 36 €

Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.

6 niños* 8 €= 48 €

Sumando el total pagado por la entrada para adultos y para niños se obtiene:

36 € + 48 €=  84 €

La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:

3 "packs" de 3 entradas*  4 €= 12 €

Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:

84 € - 12 €= 72 €

Finalmente, la familia paga 72 €.

What is the compliment of a 45 degree angle

Answers

The complement of 45° is the angle that when added to 45° forms a right angle (90° ).

use the table to find the slope

Answers

Points (-1,4) (3,6)
Slope: (6-4)/(3+1) = 2/4
The slope is 1/2

Question 8 HELPPPPPPPPPPPPPP

Answers

Answer:

it would be at 3

cause double negatives cancel out- if u c something like -- or -(-) they would become a positive- so you would plot it at positive 3

hope this helps (again lol)

<33

Step-by-step explanation:

Answer:

plot at 3

Step-by-step explanation:

a negative number times another negative number will result in a positive number

therefore,  - (-3)=3

need help again math 7th grade ​

Answers

Answer: 1/2 as a fraction

.5 as a decimal

Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5

Answer:

Fraction: 1/2, Decimal: 0.5

Step-by-step explanation:

From numbers 1 to 6, 3 of them are odd numbers, 1, 3, and 5

So 3/6 of the numbers are odd numbers, now we have to see if we can simplify 3/6, which u can, 3/6 = 1/2

1/2 is ur fraction, to find ur decimal divide 1 by 2, and u get 0.5

Solve the equation 8(3x - 6) = 6(4x + 8). Does the equation have one solution, no solution, or infinitely many solutions? Explain. ( worth two point, answer and explanation)

Answers

AnswEr :

⠀⠀⠀⠀

Equation have No solutions

⠀⠀⠀⠀

______________________

⠀⠀⠀⠀

➤ How to solve ?

⠀⠀⠀⠀

For solving such problems we need to recall equations .

⠀⠀⠀⠀

When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀

SolutiOn :

➠ 8( 3x - 6 ) = 6(4x + 8 )

➠ 24x - 48 = 24x + 48

Now, we will bring the variable on left hand side and constants on right hand side

➠ 24x - 24x = 48 + 48

➠ 0 = 48 + 48

➠ 0 = 96

As we can see the equation have end with a undefined value the equation have no solutions

➠ No Solutions

━━━━━━━━━━━━━━━━━

plz help fast!!
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?

A) 4 km
B) 9 km
C) 48 km
D) 16 Km

Answers

Answer:

D. 16 km

Step-by-step explanation:

Hope this helps!

A store sells 4 T-shirts for $38.64. What is the unit cost per T-shirt?

Answers

the cost per shirt is $9.66 because you divide 38.64 by 4.

Answer:

9.66

Step-by-step explanation:

38.64/4

9.66

Can someone help me?? The question is in the pic

Answers

Answer:

first one has 1 solution, second one have infinity solutions, third one has no solutions and the last one has 1 solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

One solution:

[tex]\frac{1}{5}f-\frac{2}{3 }= \frac{-1}{5}f+\frac{2}{3}\\\\[/tex]

4a -3 +2a = 7a - 2

Infinitely many solution:

-1.7v + 2.8 = 1.4v-3.1v + 28

No solution:

Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)

Answers

The answer is 3(5x+1)
It is 3(5x + 1). Multiply 3 with 5 and multiply 3 with 1, then you will get 15x + 3

Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr. Rachal used 236. How many more experiments do they do with the tool? How many tools are left?

Answers

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = [tex]\frac{386}{6}[/tex]

                                               = 64[tex]\frac{1}{3}[/tex]

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = [tex]\frac{236}{8}[/tex]

                                                = 29[tex]\frac{1}{2}[/tex]

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64[tex]\frac{1}{3}[/tex])

                                 = 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29[tex]\frac{1}{2}[/tex])

                                  = 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

                                                            = 178

Number of tools left after Dr Rachal's experiments = 564 - 236

                                                            = 328

Solve the equation:
2x+1>7

Answers

Answer:

-3 and  infant soultion

Step-by-step explanation:

please since i gave u answer can u answe my recent question

suppose that an individual has a body fat percentage of 14.4% and weighs 128 pounds. How many pounds of his weight is made up of fat? round your answer to the nearest tenth.

Answers

The round of the nearest tenth is 128

your answer must be simplified
−3 < x -10

Answers

Answer:

[tex]x>7[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\-3<(x-10)\\Now,\\By\ adding\ both\ the\ sides\ by\ 10,\\(-3)+10<(x-10)+10\\Hence,\\10-3<x-10+10\\7<x\\Or,\\x>7[/tex]

what is 3/5 divided by 1/2 as a reduced fraction

Answers

6/5 or 1 1/5
Hope this helps

Match each decimal with its percent equivalent.
1. 1.5 10%
2. 0.15 15%
3. 0.01 150%
4. 0.1 1%

Answers

Answer:

1.5 = 150%

.15 = 15%

.01 = 1%

.1 = 10%

Please give brainliest

Answer:

1.5 = 150%

.15 = 15%

.01 = 1%

.1 = 10%

Step-by-step explanation:

What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?

Answers

Answer:

132

Step-by-step explanation:

it is

Simple interest is the interest calculated on the principal at a given rate for a time period.

The formula for simple interest is given as,

SI = (P x R x T) / 100

P = Principal

R = rate

T = time in years

The interest that will be paid after 3 years with 8% interest is $132.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

The formula for simple interest is given as,

SI = (P x R x T) / 100

P = Principal

R = rate

T = time in years

We have,

P = $550

R = 8%

T = 3 years

SI = (P x R x T) / 100

SI = (550 x 8 x 3) / 100

SI = $132

Thus,

The interest that will be paid after 3 years with 8% interest is $132.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

A coat has a regular price of $38 it is marked down 25% what is the sales price of the coat

Answers

28.5

b

e

c

a

u

sssssssss

e

y

e

s

s

i

r

Tora took a short trip of 320 miles. He stopped to have lunch after he had driven 120 miles. Write the fraction of the trip he had completed by lunch in simplest form. Then write the fraction as a decimal.

Answers

Answer:

The fraction of the trip completed is ³/₈

The fraction of the trip completed in decimal form is 0.375

Step-by-step explanation:

Given;

total trip to be completed by Tora, = 320 miles

distance completed by Tora, = 120 miles

The fraction of the race that Tora has completed is given as;

[tex]= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}[/tex]

As a decimal the fraction is written as;

[tex]\frac{3}{8} = 0.375[/tex]

express cos6mcos2m as a sum or difference

Answers

Given :

An expression (cos 6m)(cos 2m) .

To Find :

We need to express it in terms as sum or difference.

Solution :

We know,

cos( A + B ) = cosA cos B - sin A sin B

cos( A - B ) = cosA cos B + sin A sin B

Adding both the equations we get :

2cos A cos B = cos( A + B) + cos( A - B )

or

cos A cos B = cos( A + B) + cos( A - B )/2

Putting value of A = 6m and B = 2m in above equation, we get :

(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2

(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2

Hence, this is the required solution.

Other Questions
If the total Fertility rate drops below the replacement fertility rate, what will happen to the population? Explain Why How do entrepreneurs help Florida's economy? Construct hospitals and schools Invent new things and hire people Paint murals and spend money Teach and provide first aid Whats the area? Please help :) (PLEASE HELP I WILL GIVE YOU 27 POINTS) Figure out how to make the diver sink.Figure out how to make the diver float again.Record your methods for changing the location of the diver in the space below.this is for my science class please help me 5. When it comes to punishing Antigone, what does not matter to Creon?1)O That Antigone is his family2)That Antigone is Polyneices and Eteocles's sister3)O That Antigone is betrothed to Haemon4)That Antigone is a woman5)O All of the above The Army receives proposals from eight different companies in response to a Request for Proposal (RFP). The Contracting Officer has identified the most highly rated proposals, determined the competitive range, and wants to get the offerors' best and final proposals. What type of information exchange would the Contracting Officer use to get the information needed to allow the offerors to revise their proposals it was believed that earth was a stationary object at the center of the universe all other objects in space without to go around earth which of these is a criticism of this idea Which weapon was MOSTresponsible for keeping soldiers from both sides in thetrenches in World War I?airplanestanksmachine gunsmustard gas How does the story's title help suggest a universal theme of the story? Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z? A y=2.5x-23B y=2.5x+23C y=2.5x+3D y=2.5x- 28.5 Why did the southern states want to count the slaves? The "T" in TAG. stand for x^8-x^5+18x^4-18=0 solve this equation Which layer ground is made up of solid rock?mantlebedrocksubsoiltopsoil Can someone help me with this question plzzzzz hhhhhhheeeeeeeeeeellllllllllllloooooooooooooopppppppppppppppppppppppppppp bond energy is the greatest for?. a: Ch4 b: O2 c: N2 d: Cl2 please help ill give brainliest if you give a correct answer tysm Item Measured Scale Reading (tons) Number of Items on the Scale Weight per Item (tons)Raul and his friends1204cars782baby elephants | 001goats4cow NIPdesks132 Match the equation to its description.y= (x + 4)2 2Right 4, Up 2Right 4, Down 2Left 4, Up 2Left 4, Down 2