factor x^3+25 completely

Answers

Answer 1

Answer:

Please check the explanation.    

Step-by-step explanation:

Given the expression

[tex]\:x^3+25\:[/tex]

Please note that the given expression could not factor further.

But, wait!

Let me take a sample expression and factor that sample expression so that you could get an idea of how to factorize the expression

Given the sample expression

[tex]x^2-5x+6[/tex]

Breaking the expression into groups

[tex]\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)[/tex]

Factor out x from x²-2x: x(x-2)

Factor out -3 from -3x+6: -3(x-2)

                   [tex]=x\left(x-2\right)-3\left(x-2\right)[/tex]

Factor out the common term (x-2)

                   [tex]=\left(x-2\right)\left(x-3\right)[/tex]

Thus, factorizing the expression such as:

[tex]x^2-5x+6=\left(x-2\right)\left(x-3\right)[/tex]      


Related Questions

Help me out here pleaseeeee

Answers

Answer:

32 pieces is the right answer

3×8=24

24×1/4

so 32

Step-by-step explanation:

please mark me as brainliest

A class of 160 students contain 40 honor students, 60 athletes, and 80 who are neither athletes nor honor students. From the entire group a student is chosen at random. What is the probability that the student is an honor student given that he is an athlete

1/2
1/3
1/8

Answers

Answer:

Step-by-step explanation:

let x represent students who are both honor students and athletes

60+80+40-x=160

180-x=160

x=189-160=20

The probability=20/160=⅛

Answer:

The correct answer is 1/3

Step-by-step explanation:

Please need help on this one

Answers

Answer:

60°

Step-by-step explanation:

You have to do a² + b² = c²

I plugged in the numbers and they matched up.

Hope this helps ya!

Which of the following statement are true


A:The only factors of 9 are 1 and 9


B:The only factors of 7 are 1 and 7


C:The only factors of 6 are 1,2, and 3


D:The only factors of 16 are 1,2,4 and 16

PLEASE HELLPPPPP

Answers

C ! , i believe it c because for D the factors wouldn’t only be 1,2,4, there would also be 8 & with odd numbers you don’t have more than one

Select the better answer for the definition: Step Function.

Answers

Answer:

A function that increases or decreases abruptly from one constant value to another.

# 3 A cellular phone company offers several different service options. If the total cost per month is given by the
formula C = 0.42 m+ 7.81, how much will you pay in a month when you did not use the phone?

Answers

Answer:7.81

Step-by-step explanation:

7.81=0.42*0 +7.81

X+1 , 2x+3 and X+7 are the second, third and fourth terms of an arithmetic series. Find the value of X and hence calculate the common difference.​

Answers

Answer:

x = 1,

Common Difference = -3

Step-by-step explanation:

Each number in series has the same difference, hence

(x + 1) - (2x+3) = (2x + 3) - (x + 7) Solve to find => x = 1Plug in value of x into (x+1) - (2x+3)

Which solves for -3

Answer:

x=1

c.d.=3

Step-by-step explanation:

2(2x+3)=x+1+x+7

4x+6=2x+8

4x-2x=8-6

2x=2

x=1

so terms are 2,5,8

c.d.=5-2=3

Uhhh how many cookies will she put in each container

Answers

Answer:

Step-by-step explanation:

You didn't put anything to solve

Answer:

She will put as many cookies that will fit in the containers she has.

Evaluate the expression.
-2x + 3y; x = 3, y = 4

Answers

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

-2x + 3y

x = 3

y = 4

Step 2: Evaluate

Substitute:                    -2(3) + 3(4)Multiply:                        -6 + 12Add:                              6

Find the 107 the derivative of the function

Answers

Answer:

Step-by-step explanation:

Pattern

dx/dy = - sin(x)

d^2/dx^2 = -cos(x)

d3/dx^3 = sin(x)

d4/dx^4 = cos(x)

So if you divide 107 by 4 what's the remainder?

107 / 4 = 26 with a remainder of 3

So the answer is going to be the third one down or d107/dy^107 = sin(x)

If Alejandro walks 3 miles in 43 minutes, then how far will Alejandro walk in 93 minutes?

Answers

Answer:

he will walk about 8 miles

Step-by-step explanation:

When a number is increased by 13, the result
is 43. What equation fits this statement?

Answers

Answer:

The equation is  

✔ d = 5l

.

As the number of  

✔ laps

increases, the number of  

✔ dollars

also increases.

Step-by-step explanation:

Using the concept of expressing an equation , the required expression is n + 13 = 43

Let the number be : n

The number increased by 13 can be expressed thus :

n + 13

Equating the expression to the result, we'll have :

n + 13 = 43

Therefore, the required expression, is n + 13 = 43

Learn more : https://brainly.com/question/19802693

Helppppp!!!

Every hour, the radio station
plays 16 commercials that are
a total 13 minutes in length. If
x represents a 30-second
commercial and y is a 60-
second commercial, how many
of each type of commercial is
played?
Enter the equations that
represent the scenario into the
graphing calculator to find how
many of each type of
commercial is played.
x + y = 16
0.5x + y = 13
In one hour, the radio station
plays commercials that are 30 seconds long. In one hour, the radio station plays commercials that are 60 seconds long

Answers

Answer:

it would be 6 and 10

Step-by-step explanation:

Answer:

the answer is

6

10

Step-by-step explanation:

im taking the assignment

If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $5, and a loaf of bread, two bags of oranges and a basket of apples costs $12, what is the cost of a basket of apples?

Answers

Answer:

$6

Step-by-step explanation:

4 loaves of bread ---- $8

1 loaf of bread ---- $8 ÷ 4 = $2

one bag of oranges --- $5 - $2 = $3

two bags of oranges --- $3 × 2 = $6

one basket of apples --- $12 - $6 = $6

The cost of a basket of apples is $6.

suppose that you have made a batch of orange paint by mixing 2 cups of red paint and 1/3 cups of yellow paint. What are some other combinations of numbers of cups of red paint and yellow paint that you can mix to make the same shade of orange?

Answers

Answer:

6 red and 1 yellow

Step-by-step explanation:

Multiply 2 and 1/3 by the same value

* 2

4 Red and 2/3 Yellow

*3

6 red and 1 yellow

Etc.

A model of a house is shown What is the perimeter, in feet, of the model?

Answers

Answer:

There isn't anything shown. Perimeter is all sides added up. Hope that helps.

Step-by-step explanation:

3
Evaluate the expression 4 + [(96 ÷ 8) × 5] – 42.

Answers

Answer:

22

Step-by-step explanation:

4 + [(96 ÷ 8) × 5] – 42 =

4 + [12 × 5] - 42 =

4 + 60 - 42 =

22

IM THE COOL KID 121212

Answers

rEaLlYyYyyYyYyyHyYhHhhYuYy
Good for you cool kid. I aspire to be as cool as you.

solve the proportion. 6/8=y/12​

Answers

Answer:

y=9

Step-by-step explanation:

I drew a model to help me

The circumference of the base of a cone is 10π cm. The circumference of the base of a second similar cone is 20π cm. What is the ratio of the surface area of the first cone to that of the second cone?​

Answers

Given:

The circumference of the base of a cone is 10π cm.

The circumference of the base of a second similar cone is 20π.

To find:

The ratio of the surface area of the first cone to that of the second cone.

Solution:

Let the radii of base of two cones are [tex]r_1[/tex] and [tex]r_2[/tex] respectively.

Circumference of the circular base is [tex]2\pi r[/tex], where, r is radius.

We have,

[tex]2\pi r_1=10\pi\text{ cm}[/tex]

[tex]r_1=\dfrac{10\pi}{2\pi}\text{ cm}[/tex]

[tex]r_1=5\text{ cm}[/tex]

And,

[tex]2\pi r_2=20\pi\text{ cm}[/tex]

[tex]r_2=\dfrac{20\pi}{2\pi}\text{ cm}[/tex]

[tex]r_2=10\text{ cm}[/tex]

It two cons are similar, then ratio of there areas is equal to square of the ratio of there corresponding dimensions, i.e., radius or heights.

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{r_1}{r_2}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{5}{10}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{1}{2}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{1}{4}[/tex]

The ratio form is

[tex]V_1:V_2=1:4[/tex]

Therefore, the ratio of the surface area of the first cone to that of the second cone is 1:4.

The ratio of the surface area of first cone to that of the second cone is; 1:4

Surface Area

Formula for the circumference of the base of a cone is;

C = 2πr

Where;

C is circumference

r is radius

Thus;

For the first cone;

10π = 2πr

r = 10π/2π

r = 5

For the second cone;

20π = 2πr

r = 20π/π

r = 10

Now, formula for surface area of the base is;

A = πr²

Thus, ratio of both area of first cone to second cone is;

A1/A2 = 5²/10²

A1/A2 = 25/100

A1/A2 = 1/4

Thus, ratio of first cone to that of the second cone is; 1:4

Read more on surface area of cone at; https://brainly.com/question/6613758



In a fish tank, there are 3 orange fish, 5 blue fish and 6 yellow fish. In simplest form, what is the ratio of yellow
fish to orange fish? Explain what your ratio means in context.
Show Your Work
6:3, for every six yellow fish there are three orange fish
2:1, for every two yellow fish there is one orange fish
3:6, for every three orange fish there are six blue fish
23:5. for every three orange fish there are five blue fish
P

Answers

Answer:

B. 2:1, for every two yellow fish there is one orange fish

Step-by-step explanation:

So you have 6 yellow fish and 3 orange fish.

You can divide both these values by 3 to get:

2 yellow fish: 1 orange fish

Therefore, the simplified version of the ratio is 2:1

In context this means for every 2 yellow fish there is 1 orange fish.

The answer is then B.

I hope this helps!!

- Kay

Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can
Valerie cut?

Answers

Answer:

Valerie can cut 13 2/3 ft pieces.

Step-by-step explanation:

Please brainliest!

One Friday the temperature in a town at 5:00PM was 7 degrees Fahrenheit which was 13 degrees warmer than at 9 AM

What was the temperature in degrees Fahrenheit at 9:00 AM?

Answers

Answer:

-6° F

Step-by-step explanation:

If sales tax is 7%, how much tax will Miguel pay for a TV that costs $150?

Answers

Answer:

$10.50

Step-by-step explanation:

To find how much tax is added on to the $150 we have to multiply .07 by 150.

(150)(.07) = 10.5

Therefore, Miguel will have to pay $10.50 in tax.

I hope this helps!

- Kay :)

List the first 3 odd
composite numbers.

Answers

Answer:

9, 15, 21

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

hope this helps, pls mark brainliest :D

Answer: 9 15 21

Step-by-step explanation: hope this helps

Mrs. Cousins works in a pool store and earns a 9.5% commission on every swimming pool she sells. How much commission would she earn for selling a pool that costs $5,600?

Answers

Answer:

$532

Step-by-step explanation:

19/200 * 5600/1

Cross cancellation makes this:

19/1 * 28/1

19 * 28

(19 * 20) + (19 * 8)

380 + 152

$532 in commission

An object dropped from rest from the top of a tall building on Planet X falls a distance feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from to . This rate is known as the average​ velocity, or speed. The average velocity as t changes from to seconds is:________

Answers

Complete Question:

An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=13t^2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1=2 to t2=10. This rate is known as the average velocity, or speed.

The average velocity as t changes from 2 to 10 seconds is _______ feet/sec?

Answer:

[tex]v = 156[/tex]

Step-by-step explanation:

Given

[tex]d(t)=13t^2[/tex]

Time Interval: (a,b)

[tex]a = 2[/tex]

[tex]b = 10[/tex]

Required

Determine the average rate of change (v)

This is calculated as thus:

[tex]v = \frac{d(b) - d(a)}{b - a}[/tex]

Substitute values for b and a

[tex]v = \frac{d(10) - d(2)}{10 - 2}[/tex]

[tex]v = \frac{d(10) - d(2)}{8}[/tex]

Calculate d(10): Substitute 10 for t

[tex]d(t)=13t^2[/tex]

[tex]d(10) = 13 * 10^2[/tex]

[tex]d(10) = 13 * 100[/tex]

[tex]d(10) = 1300[/tex]

Calculate d(2): Substitute 2 for t

[tex]d(t)=13t^2[/tex]

[tex]d(2) = 13 * 2^2[/tex]

[tex]d(2) = 13 * 4[/tex]

[tex]d(2) = 52[/tex]

The equation [tex]v = \frac{d(10) - d(2)}{8}[/tex] becomes

[tex]v = \frac{1300 - 52}{8}[/tex]

[tex]v = \frac{1248}{8}[/tex]

[tex]v = 156[/tex]

Hence, the average rate of change is 156ft/s

A heating pad takes 9,738 watts during each time it is turned on. If you only use it for 48 minutes, how much CO2 was created? Round to 1 decimal.

Answers

I hope this helps a bit more

Sandra Jean ears an annual
salary of $38,400.00. What is
her monthly salary?

Answers

Answer:$3200

Step-by-step explanation:

38,400 divided by 12 = $3200

PLEASE answer i’ll do anything please

Answers

Answer:

25

Step-by-step explanation:

[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]

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