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

2. Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks, and 1 pair of white
socks. If she picks a pair at random, what is the probability she will pick a green pair?
Help!

Answers

AnsweGreen socks

Step-by-step explanation: the is more green socks then black and even if she put in the green socks first the is a 90% chance of getting a black sock.

Answer:

1/10

Step-by-step explanation:

ok byeeee

A building is 50 feet tall and casts a 25 foot shadow. If Mark is 6 feet tall, how long would
his shadow be?

Answers

Answer:

Mark's shadow would be 3 feet.

Step-by-step explanation:

If a building is 50 feet tall and casts a 25 foot shadow, then the shadow of an object is 1/2 the length of the actual object.

This can be supported by the division problem:

50 ÷ 2 = 25

If Mark is 6 feet tall, then we need to divide 6 by 2 in order to find the length of the shadow.

6 ÷ 2 = 3

Therefore, Mark's shadow would be 3 feet.

Hope this helps! :D

mark’s shadow would be 3 feet because if the building is 50 feet tall & the shadow is 25 feet, it’s divided in half so his shadow is going to be 3 feet tall since he is 6

What is the average rate of change of f(x)=x²+4x+4 from x=1 to x=3?​

Answers

Answer:

F(3) - F(1) / (3-1)

(3^2 + 3*4 + 4) - (1^2 + 1*4 + 4) / (2)

(9+12+4) - (1+4+4) / (2)

(25)-(9)/(2)

(16)/(2)

8

Step-by-step explanation:

The LSN basketball team had 292 fans at a game. Adults paid $3.00 to get in and students paid $2.00. A total of $756.00 was collected. Write and solve a system of equations to determine the number of each type of ticket sold, use x to represent Adult tickets and y to represent Student tickets.

write an equation-
adult tickets sold-
child tickets sold-​

Answers

Answer:

x (378) + y (378) =

Step-by-step explanation:

First i split 756.00 in half so basically what ever is multiplied by two to get 756 and i got 378. So since x = 3.00 and y = 2.00, it would come out to this:

3.00 x 378 = x (378) =

2.00 x 378 = y (378) =

So:

x (378) + y (378) =

im sorry if i got it wrong-

1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%​

Answers

Martin still has 30% of the problems left to do.

Answer:

D)30%

Step-by-step explanation:

I got 15, but apparently it isn’t the right answer. Help please!

Answers

the answer would be 20
if you subtract 32 - 12 you get 20 and add 6 + 11 + 3 = 20

Billy wants to buy a $1250 drum set and the
music store has a deal where you can take it
home today for a 20% down payment and
then 3 years of monthly payments. How
much money will Billy need in order to make
the down payment?
..

Answers

Answer:

LOL i don't even know

Step-by-step explanation:

My question is in the picture I tried to multiply -7 on both sides and got -147 I don't know if it's correct or if it's the right way to do it.

Answers

Answer:

-3

Step-by-step explanation:

-7b = 21

/ -7     / -7

b = -3

Answer:

-3

Step-by-step explanation:

Hope this helped have an amazing day!

how do we find the value of y when x = 0​

Answers

Answer:

both variables are just 0-

A pack of 4 t-shirt costs $5. What is the unit price for a t-shirt?

Answers

4x5 = 20 , maybe it would be $20?

help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]

Answers

Answer:

[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Step-by-step explanation:

To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].

Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:

[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]

[tex]=-cos(\pi)+cos(0)[/tex]

[tex]=-(-1)+1[/tex]

[tex]=2[/tex]

∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Hope this helps :)

What is the turning point of the graph of f(x) = |x+3| -2?

(-3, -2)

(-2, -3)

(-3, 2)

(2, -3)

Answers

Answer:

(-2,-3)

Step-by-step explanation:

I took the test and got it wrong at first but seen the correct answer when I looked at my results.

The turning point of the function f(x) = |x+3| -2 will be (-3, -2).

What is an absolute function?

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.

Given that the absolute function is f(x) = |x+3| -2. When we plot the graph of the absolute function f(x) = |x+3| -2 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( -3,-2).

Therefore, the absolute function is having its turning point at the coordinate ( -3,-2).

To know more about absolute functions follow

https://brainly.com/question/25971887

#SPJ2

there are 40 black balls this is 4 more than twice the number of yellow balls how many yellow boll are there​

Answers

answer: 18
explanation: “40 black balls this is 4 more” so it’s “40-6=36”
and then “twice more” would be dividing in half so “36/2=18”

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The number of yellow balls is 36.

What is Addition?

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

Given there are 40 black balls this is 4 more than twice the number of yellow balls. Therefore, we can write,

Number of black balls = Number of yellow balls + 4

40 = Number of yellow balls + 4

Number of yellow balls = 36

Hence, the number of yellow balls is 36.

Learn more about Addition:

https://brainly.com/question/13167637

#SPJ2

Round 347−−−√ to the nearest hundredth.

Answers

Answer:300

Step-by-step explanation:

Please Help

What is the solution for x in the equation?

9 − 10x = 2x + 1 − 8x

Answers

Answer:

x=2

Step-by-step explanation:

State whether the equation represents a linear or a nonlinear function. Explain y=7(x--8)​

Answers

Answer: Is this for nine grade

Step-by-step explanation:

Use the scatter plot of car resale values to answer the following question about making a prediction of the resale value of a
car.
Car Resale Values
100
80
60
40
20
10
Age of Car
Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.
The 8-year-old car could be worth approximately $2000.
b The 8-year-old car could be worth approximately $5000.
The 8-year-old car could be worth approximately $3000.
d. The 8-year-old car could be worth approximately $4500.

Answers

Answer:

 

The 8-year-old car could be worth approximately $4500.

Step-by-step explanation:

answer on edge 2020

Answer:

C.the 8 year old car can be worth about 3000 just look at the graph

Step-by-step explanation:

#happycheating

2-0
No
125/x?
Solve for variables

Answers

10 x 1 =10 0 x 0 =90 grorgi6

what expression is equivalent to (2.1x+4.3) - (-3x-7)

Answers

The answer is 5.1x+11.3

can anyone please help!!!

Answers

Answer:

Question 9

(a) The distance, Jalaj walks in one day is 4.4 km

(b) The amount Jalaj raises after walking for 22 km at the end of the 5 days is $8

Question 10

(b) The difference between the largest and smallest areas is 2,400 m²

Step-by-step explanation:

Question 9

(a) The distance Jalaj walks in 5 days = 22 km

Whereby Jalaj walks equal distance every day, we have;

The distance, Jalaj walks in one day = 22 km/5 days = 4.4 km/day

The distance, Jalaj walks in one day = 4.4 km

(b) The amount he raises for every kilometer he walks = $1.60

The amount he raises after walking for 22 km at the end of the 5 days = 5 × $1.60  = $8

Question 10

(b) The given side length of the square = 120 meters to the nearest 10 meters

Therefore;

The maximum dimension for the side length of the square = 120 + 10/2 = 125

The largest possible area of the square, [tex]A_l[/tex] = 125 m × 125 m = 15,625 m²

The minimum dimension for the side length of the square = 120 m - 10 m/2 = 115 m

The smallest possible area of the square, [tex]A_s[/tex] = 115 m × 115 m = 13,225 m².

The difference between the largest and smallest areas, [tex]A_l[/tex] - [tex]A_s[/tex] = 15,625 - 13,225 = 2,400 m².

The diameter of a wheel of a car is 0.75 m. if the car travels at an average speed of 14 m/s, find the
number of revolutions made by the wheel per minute, giving your answer correct to the nearest
whole number.​

Answers

Step-by-step explanation:

Circumference of wheel = πd = 0.75πm.

How far the car travels per minute

= 60s * (14m/s) = 840m.

Hence number of revolutions per minute

= 840m / 0.75πm

= 356.507....

= 357. (nearest whole number)

Simplify each expression by combining like terms.
7a - 6 + 8a ​

Answers

=7a - 6 + 8

=7a + 8a - 6 =15a - 6

The solution of absolute value equation I x - 4 | =6 is...

Answers

Can I get brainliest ?

PLZZ HURRY!!!


Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.

AngleJ = 90° AngleJ' = 90°

AngleK = 65° AngleK' = 65°

AngleL = 25° AngleL' = 25°

Which statement is true about this transformation?

It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.

Answers

Answer:

It’s the third option

Step-by-step explanation:

They preserved the angles

Answer:

It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.

Step-by-step explanation:

edge 2020

A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. What will be the percent of seed if Tom adds 114 grams?

Answers

Answer:

Initially, we had:

100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)

This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8

Then the mass of seeds, x, can be calculated as:

x/100g = 0.8

x = 0.8*100g

x = 80g

We also have another mixture, that is 5% seed (or 0.05 in decimal form)

This means that in X grams of this mixture, there will be y grams of seeds, such that:

y/X = 0.05

y = 0.05*X grams

Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).

Let's do this.

If we add X grams of the 5% mixture, the total mass will be:

M = 100g + X.

The total mass of seeds will be:

m = 80g + X*0.05

and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4

m/M = 0.4

(80g + X*0.05)/(100g + X) = 0.4

Let's solve this for X.

(80g + X*0.05) =  0.4*(100g + X)

80g + X*0.05 = 40g + X*0.4

80g - 40g = X*0.4 - X*0.05

40g = X*0.35

40g/0.35 = X = 114.2g

If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)

If we add 114g, like Tom wants, we will have:

M = 100g + 114g = 214g

m = 80g + 0.05*114g = 85.7g

m/M = 85.7g/214g = 0.4005

This is a really good aproximation, if we write this in percentage form this would be:

0.4005*100% = 40.05%

I need help setting the proportion !!!! ASAP

Answers

Answer: That looks like work what are u trying to find

Step-by-step explanation:

For what value of the variable is each of the following fractions equal to zero: 2y +3/10

Answers

I think its 3/10=0.3

2×(-0.15)= -0.3

and -0.3+0.3=so variable value is -0.15

Answer:

2×-1,5+3

Step-by-step explanation:

Hope this helped have an amazing day!

the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?​

Answers

Answer:

5x -  North American Butterflies.

3x - South American Butterflies.

5x = 30 (Divide By 5).

x = 6.

3x = 18.

3x - South American Butterflies.

2x - European Butterflies.

2x = 2 * 6 = 12

There Are 12 European Butterflies And 18 South American Butterflies.

Step-by-step explanation:

Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights

Answers

Answer: 24 1/2

Step-by-step explanation:

What is the constant in the following expression? -8x^2+17y+19

Answers

Answer:

(x + 2) • (x - 19)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -38 = -38

Step-2 : Find two factors of  -38  whose sum equals the coefficient of the middle term, which is   -17 .

     -38    +    1    =    -37

     -19    +    2    =    -17    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -19  and  2

                    x2 - 19x + 2x - 38

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-19)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-19)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-19)

            Which is the desired factorization

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