1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)

Answers

Answer 1

Answer:

D şıkkı iyi dersler hadi

Answer 2

Answer:

C: [tex](2x+5)(4x^2-10x+25)[/tex]

Step-by-step explanation:

First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].

Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]

Or you commit the two formulas to memory.


Related Questions

Hello please help straight up answer I’ll give points thanks I’m just trying to pass

Answers

Answer:

I think it's 34°.

Step-by-step explanation:

The angle to the right of 3x+7 is the alternate interior angle to 2x+3, meaning that they are the same.

Now, that angle, 2x+3, and 3x+7, are on a line, which I'm assuming is a straight line with an angle of 180°. If it is, then (2x+3)+(3x+7)=180

Now you can solve for x.

2x+3+3x+7=180

5x+10=180

5x=170

x=34

Therefore, x=34°

Hope I helped!

4y^3-9y=0 solve by factoring

Answers

Answer:

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4y^3-9y=0[/tex]

[tex]y(4y^2-9)=0[/tex]

[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Help help help help math math

Answers

Answer:

Oh It's Too Easy...

Step-by-step explanation:

By Pythagoras Theorem

a^2 + b^2 = c^2

7^2 + 5^2 = c^2

49 + 25 = c^2

74 = c^2

C = 74

Hopes that it will help u...

Solve the following inequalities. Graph the solution on a number line and express it in interval notation. You can use the back page for your solution. 26. x+47 > 36 27. x-8 -2x PLEASE HELP ME​

Answers

[tex]\\ \sf\longmapsto x+47>36[/tex]

[tex]\\ \sf\longmapsto x>36-47[/tex}

[tex]\\ \sf\longmapsto x>-11[/tex]

Graph attached

The lengths of the sides of quadrilateral EFGH are as follows: EF = 12 cm, FG = 6 cm, GH = 9 cm, and EH
- 9 cm. If EFGH - MNOP and NO = 7.5 cm, which statement about the side lengths of quadrilateral MNOP
is true?
MN = 12 cm because the scale factor for dilating quadrilateral EFGH is 1.
MP = OP = 7.2 cm because the scale factor for dilating quadrilateral EFGH is
UA
5
HMN = 13.5 cm because the scale factor for dilating quadrilateral EFGH adds 1.5 cm to EF.
MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

Answers

The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

The side lengths of EFGH are given as:

[tex]EF = 12\ cm[/tex]

[tex]FG = 6\ cm[/tex]

[tex]GH = 9\ cm[/tex]

[tex]EH = 9\ cm[/tex]

Length NO is also given as:

[tex]NO = 7.5\ cm[/tex]

Because both quadrilaterals are similar, then side NO corresponds to side FG.

The scale factor (k) from EFGH to MNOP is then calculated as:

[tex]k = \frac{NO}{FG}[/tex]

[tex]k = \frac{7.5}{6}[/tex]

[tex]k = 1.25[/tex]

The side lengths of MNOP are then calculated using:

[tex]MN = 12cm \times 1.25[/tex]

[tex]MN = 15\ cm[/tex]

[tex]OP = 9cm \times 1.25[/tex]

[tex]O P = 11. 25 cm[/tex]

Also,

[tex]MP = 11. 25 cm[/tex]

So, the true statement is (d)

Read more about dilations at:

https://brainly.com/question/3457976

Find the area of the figure.

7cm

8cm

11cm


Area is ___ square cm?

Answers

Answer:

616cm³

Step-by-step explanation:

you just need to multiply those numbers

7 x 8 x 11= 616

[tex]\text{Perimeter of the triangle,}\\\\ 2s = 7 + 8 +11 =26}\\\\\\\implies s = \dfrac{26}2 = 13\\\\\\\text{Apply Heron's formula to find the area of the triangle,}\\\\A = \sqrt{s(s-8)(s-7)(s-11)}\\\\\implies A = \sqrt{13(13-8)(13-7)(13-11)}\\\\\implies A = \sqrt{780} \\\\\implies A = 27.93~~ \text{cm}^2[/tex]

A can has a radius of 1.5 inches and a height of 3inches. Which of the following best represents the volume of the can .

Answers

The expression which best represents the volume of the can in discuss as evaluated from the formula; V = π r² h and as required is; 6.75π.

What is the volume of the can as described?

It follows from the task content that the volume of the can whose radius is; 1.5 inches and height is; 3 inches is to be determined.

It is noteworthy to know that the volume of a can often the shape of a cylinder is given by the formula;

Volume, V = π r² h.

where, radius, r = 1.5 in.

height, h = 3 in.

Therefore, we have that the volume of the can can be evaluated as;

Volume, V = π × ( 1.5 )² × 3

Volume, V = 6.75 π.

On this note, the best representation of the volume of a can having dimensions as described is; 6.75π.

Read more on Volume of a can;

https://brainly.com/question/9554871

#SPJ1

Yesterday, Carmen went surfing and was out for 5 hours. Today, she spent 60% more time
than yesterday riding waves. How long was Carmen out surfing today?

Answers

Answer:

Today, Carmen out surfing for 8 hours

Step-by-step explanation:

160/100 × 5 = 8

What is the function rule for the line?

Answers

Answer: It is f(x)= -3/2x-2

Step-by-step explanation: f(x) is the same as y. The formula for a line is slope-intercept form (y=mx+b). The -2 is the y-intercept, and the line intercepts the graph at -2. The slope is -3/2 because it rises 3 and goes to the left -2.


Troy is buying a car that costs $15,000. He
plans to get a 5-year loan to pay for it. He
can get a loan for $15,000 or he can pay
$3,000 from his savings and get a loan
for the rest. The savings account pays 2%
simple interest per year. The simple interest
rate for the loan is 0.5% per year.
a. How much interest over a 5-year

Answers

Answer:

300/75

Step-by-step explanation:

Cost of the Car = $15,000

a) Rate of interest received on savings(r) = 2%

Amount in savings account(p) =$3000

Time period(t) = 5 years    

simple intrest.

Interest received on savings account = $300

b) Rate of interest on loan = 0.5%

IF P= 15000

intrest.

Difference between the interest = $75

c) Taking loan of the whole amount that is of $15,000 is more reasonable because though the interest is more but Troy will receive interest($300) from his savings account as well. But if he withdraws $3000 from savings and takes the loan for the rest of the amount, he would have no earnings.

which is bigger 0.5 or 9%​

Answers

this answer is 9% it is bigger than 0.5

0.5 is bigger.


9% in decimal form is 0.09, which is smaller than 0.5

another way - 0.5 in percentage form is 50%, which is greater than 9%

Which characteristics did early Japanese, Chinese, and Korean civilizations share?

They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.

Answers

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

Answer:

B. They were nations at war that shared a common religion.

Explanation: I got it right.

HELP ASAP!!! 100 POINTSS alan collects data about the students in his class. he records their hair color and whether they have have freckles. his results are shown in the table below.

find each probability
a. P(freckles)
b. P(blonde hair or red hair)
c. P(freckles and brown hair)
d. P(no freckles | red hair)

Answers

Answer:

A. 52%

B. 36%

C. 16%

D. 4%

Step-by-step explanation:

13/25 people have freckles.

9/25 people have Blonde or red hair.

4/25 people have freckles and brown hair.

1/25 people have freckles and red hair.

Divide the fractions to get the percentages.

The probabilities are A. 52%, B. 56%, C. 16% and D. 4%

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Alan collects data about the students in his class. he records their hair colour and whether they have freckles,

P(E) = (Number of favourable outcomes) ÷ (Sample space).

There are total 25 students in data,

A) Students having freckles = 13

P(freckles) = 13/25% = 52%

B) Students having blonde or red hair = 14

P(blonde hair or red hair) = 14/25% = 56%

C) Students having freckles and brown hair = 4

P(freckles and brown hair) = 4/25% = 16%

D) Students with no freckles and red hair = 1

P(no freckles and red hair) = 4/25% = 4%

Hence, a. P(freckles) = 52%

b. P(blonde hair or red hair) = 56%

c. P(freckles and brown hair) = 16%

d. P(no freckles | red hair) = 4%

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ2

The cubic curve y = x'3 + ax'2 + bx + c passes through the point (1,3) and has tangent line y = x - 2 at the point (0,-2). What are the values of a, b, and c?​

Answers

Answer:

answer to your question is: a = 3, b = 1, c = -2

Sandra signed up for the gym during the spring special.
Her credit card was charged $220.87. Is this the correct amount? Explain.
A sign that says workout jazz spring special. Sign up now and get 12 months for just 16 dollars and 99 cents per month asterisk. The asterisk is given as paid in advance.



No; the gym should have only charged Sandra $16.99.



No; the gym charged Sandra $16.99 less than it should have.



No; the gym charged Sandra $16.99 more than it should have.



Yes; the gym charged Sandra the correct amount.

Answers

Answer:

yes the gym charged Sandra the correct price

Which of the following equations represent a proportional
relationship?
Select two answers

Answers

Answer:

A it should be if not sorry :(  

Good Luck :)

Step-by-step explanation:

Decrease £110 by 50%

Answers

Half of 110 is 55 so the answer is 55

Answer:

£55

Step-by-step explanation:

50% is just another way to say 1/2. This means that 1/2 of £110 is £55.

Malika knows that 230 - 39 = 191.
How can she use that to help her solve 233 - 42 = ?
Use the space and/or the lines below to answer.

Answers

Answer:

she has to minus just as she did before.

Step-by-step explanation:

230-39=191

233-42=191

the reason as to why they have the same answer is because it was first 230 but it later it was 233.so just minus as before.hope it will help goodbye

Answer:

See below

Step-by-step explanation:

She knows the answer is the same because both numbers are 3 higher than the other. She doesn't need to do anything.

I need help with this question

Answers

Answer: bro I don’t if this is correct but try 11+3i

Un árbol proyecta una sombra de 24 pies al mismo tiempo que una vara de medir proyecta una sombra de 2 pies encuentre la altura del árbol

Answers

Hola soy Dora amigo hola mark me as brainlest

Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than the third shelf?

Answers

Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

For the system, we consider that:

x is the number of books on the first shelf.y is the number of books on the second shelf.z is the number of books on the third shelf.

In total, there are 152 books, hence:

[tex]x + y + z = 152[/tex]

The first shelf has 7 fewer books than the second shelf, hence:

[tex]x = y - 7[/tex]

Also, it has 11 more books than the third shelf, hence:

[tex]x = z + 11[/tex]

Then:

[tex]y - 7 = z + 11[/tex]

[tex]z = y - 18[/tex]

Then, replacing in the first equation:

[tex]x + y + z = 152[/tex]

[tex]y - 7 + y + y - 18 = 152[/tex]

[tex]3y = 177[/tex]

[tex]y = \frac{177}{3}[/tex]

[tex]y = 59[/tex]

The number of books in each shelf has to be countable, that is, cannot be decimal.

Then, since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at https://brainly.com/question/14183076

Suppose in the year 2000 the population of a country is 20 million. In the year 2010 the
population is now 24 million. If the growth of the population is exponential, approximate what the population would be in the year 2021.

Answers

Answer:

Grows by 2.4 million each year

Step-by-step explanation:

Tom is applying for a visa.
He has to pay £2,400 for the visa as well as a 8% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.

Answers

Answer:

100

Step-by-step explanation:

The total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

What is the amount?

" Amount is defined as the total of all the given quantities as per given conditions."

According to the question,

The amount required to pay for a visa [tex]= \£ 2,400[/tex]

Percentage charges on the visa price as day service[tex]= 8\%[/tex]

Amount as day charge  [tex]= 8\%[/tex] of [tex]2400[/tex]

                                        [tex]= \frac{8}{100} \times 2400\\\\= \£192[/tex]

The total amount required for a visa [tex]= \£ (2400 + 192)[/tex]

                                                             [tex]= \£ 2592[/tex]

Tom has one year to save,

Therefore,

Amount Tom save in one month  [tex]= \frac{2592}{12}[/tex]

                                                        [tex]=\£ 216[/tex]

                                                        ≈[tex]\£ 220[/tex] ( round to nearest [tex]\£ 10[/tex])

Hence, the total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

Learn more about the amount here

https://brainly.com/question/13024617

#SPJ2

please answer the file question

Answers

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides have the same ratio:

  UV/PR = TV/QR

  (x +6)/14 = (x -3)/8

  4(x +6) = 7(x -3) . . . . . . multiply by 56

  4x +24 = 7x -21 . . . . . . eliminate parentheses

  45 = 3x . . . . . . . . . . . add 21-4x

  15 = x . . . . . . . . . . . .divide by 3

_____

Alternate solution

The long-side : short-side ratios for the two triangles are ...

  14 : 8 = (x +6) : (x -3)

If we look at the differences between the ratio numbers we see ...

  14 -8 = 6

  (x +6) -(x -3) = 9

That is, the numbers in the second ratio must be 9/6 = 3/2 times the numbers in the first ratio. In other words, ...

  x -3 = (3/2)(8) = 12

  x = 15

Check: x +6 = 3/2(14) ; 15 +6 = 21

Hey , can you help me with this math equation ?

Answers

You have to show the equation

PLS HELP ME WITH GEOMETRY :0000

Answers

Answer:

GM = 18

Step-by-step explanation:

HJK is congruent to HKL (RHS congruency)

so, JK = KL

JK = 2

GHJ is congruent to MHL (SAS congruency)

so, GJ = LM

LM = 7

GM = 7 + 2 + 2 + 7 = 18

PLEASE HELP!!!
Bob and Sue are 12 miles apart and moving toward each other. Bob is running at a constant speed of 5mph, and Jada walks at a constant speed of 3mph How long does it take until Bob and Sue meet?

Answers

Answer:

34 miles

Step-by-step explanation:

jn

What is the domain and range in the equation y=2x-1?

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}

Range:(−∞,∞),{y|y∈R}

(a) 3 2. The seventh number in a sequence of numbers is 31 and each number after the first number in the sequence is 4 less than the number immediately preceding it. The 9th number in the sequence is: (b) 43 (c) 39 (d) 47​

Answers

Answer:

23 because its supposed to be 8 numbers less

Give an expression for f + g.
A. 12x3 + 16x2 - 6x -8
B. 4x2 + 3x + 2
C. 4x2 + 3x - 8
D. 12x3 + 16x2 - 6x​

Answers

Answer:

A)62x-8

B)11x+2

C)11x-8

D)62x

Step-by-step explanation:

12×3=36

16×2=32

36+32-6=62x-8

Other Questions
The barber of Town shaves all men living in the town. No man living in the town is allowed to shave himself. The barber lives in that town. Who then shaves the barber of the town? Which phrase best defines a sitcom?a series of interconnected episodes following a set group of charactersa series of self-contained episodes following a set group of charactersa stand-alone episode designed to gauge interest in a showa series of self-contained episodes following a rotating group of characters Convert 1 = 4 to polar form. [tex] \tt\blue{Pwe \: \: \: POINTS }[/tex] Governments typically establish population policies for all of the following reasons except __________. A. to limit population growth B. to encourage the growth of an ethnic group C. to lower the standard of living for all citizens D. to encourage population growth Please select the best answer from the choices provided. A B C D 3/4+x=2xx+_Make equation have infinite solutions in the blank Pandas eat bamboo for energy. What are pandas classified as This part of a plant cell makes the process of photosynthesis possible.ChloroplastO MitochondriaO Centrioles Describe the direction in which each object will accelerate. If the object won't accelerate, write "no acceleration." Explain what might be happening to each object in terms of its overall motion. Read the excerpt from "an address to the whites. " you here behold an indian, my kindred are indians, and my fathers sleeping in the wilderness gravethey too were indians. But i am not as my fathers werebroader means and nobler influences have fallen upon me. I have had greater advantages than most of my race; and i now stand before you delegated by my native country to seek her interest, to labor for her respectability, and by my public efforts to assist in raising her to an equal standing with other nations of the earth. What is most likely the meaning of kindred as it is used in the excerpt?. A teacher took two latex balloons and blew them up with helium gas to the same size. She took one and labeled it Balloon A and placed it in a -15o C freezer. The second one she labeled BALLOON B, and she took it outside and tied it to the railing in the sun on a 30o C day. After a half hour, she had the students measure the circumference of each balloon. Which TWO outcomes do you predict the students will find and why? how many cards do you need to win cards against humanity What were Germanys foreign policy aims during 1920-1923? when a tennis ball is dropped from a high distance is it elastic or inelastic collision? explain? In "Sonnet 73," Shakespeare uses the metaphors of autumn, a sunset, and a dying fire to most likelycommunicate the idea ofthe transience of lovethe importance of faithfulnessthe certainty of old age and deaththe bitterness of lost lovePLEASE HELP !!! ITS MY FINAL EXAM r less than one-eighth which city was the center of the impressionist art movement? the color of a minerals powder left behind after it is scratched on a piece of unglazed tile is its: Please help me answer Find the least common multiple of 8y^2 and 7m