Factor:
125x^3-27

A) (5x + 3) (25x^2 - 15x + 9)
B) (5x + 3) (5x^2 - 15x + 9)
C) (5x - 3) (5x^2 - 15x + 9)
D) (5x - 3) (25x^2+ 15x + 9)​

Answers

Answer 1

Answer:

D) (5x - 3) (25x^2+ 15x + 9)

Step-by-step explanation:

[tex]125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}[/tex]


Related Questions

While paying a bill, a man pay RS 189.80as the amount of VAT at .13%. How much was actual bill​

Answers

Answer:

RS 146189.8

Step-by-step explanation:

let the price before tax be p

hence the final amount paid (i.e the actual bill)

= price before tax + tax

= p + (0.13% of p)   (convert percentage into fraction)

= p + [ (0.13/100) x  p] ---------------(eq 1)

we are given that the tax (i.e VAT) = 189.80

hence,

[ (0.13/100) x  p] = 189.8

0.13p = (100)(189.8)

p = (100)(189.8) / 0.13

p = 146000

hence our eq 1 above becomes:

p + [ (0.13/100) x  p]

= 146000 + 189.8

= 146189.8

A square-base pyramid has the following measurements: The base edges are 3cm The height of the pyramid is 8cm What is the slant height of the pyramid?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

good luck

HELPPPP
solve the equation log(2x-3)=2

Answers

Answer:

I put it in a calculator and got 51.5

Step-by-step explanation:

Answer:

If I'm understanding the question right it's -.05

Step-by-step explanation:

(2x - 3) = 2

There is no more simplifying to be done in the parentheses.

2x - 3 = 2

Subtract 3 on each side to get the x value by itself.

2x = -1

Divide each side by 2 so the x is by itself.

x = -.05

And that's it, hope I helped :)

pleasee help mee ;-; i can't stand algebra, determine how many terms the geometric series has, and then find the sum of the series
-12 -4 - 4/3 - . . . - 4/243

Answers

Answer:

The series has 7 terms

[tex]\displaystyle S_7=\frac{4372}{243}[/tex]

Step-by-step explanation:

Geometric Series

In the geometric series, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the series:

-12, -4, -4/3, ..., -4/243

We can find the common ratio by dividing one term by the previous term:

[tex]\displaystyle r=\frac{-4}{-12}[/tex]

Simplifying:

[tex]\displaystyle r=\frac{1}{3}[/tex]

Sum of terms: Given a geometric series with first term a1 and common ratio r, the sum of n terms is:

[tex]\displaystyle S_n=a_1\frac{1-r^n}{1-r}[/tex]

We need to find how many terms the series has. Using the explicit formula of a geometric series:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

The last term is an=-4/243 and the first term is a1=-12. Solving for n:

[tex]\displaystyle n= \frac{\log(a_n/a_1)}{\log r}+1[/tex]

[tex]\displaystyle \frac{\log(-4/243/-12)}{\log 1/3}+1[/tex]

[tex]\displaystyle \frac{\log(1/729)}{\log 1/3}+1[/tex]

n=7

The series has 7 terms

Thus, the sum of the 7 terms of the series is:

[tex]\displaystyle S_7=-12\frac{1-(1/3)^7}{1-(1/3)}[/tex]

[tex]\mathbf{\displaystyle S_7=\frac{4372}{243}}[/tex]

simplify
-5v+3v

simplify
k-2-6+5k

Answers

Answer:

-5v+3v = -2v

k-2-6+5k = 6k - 8

Step-by-step explanation:

For -5v+3v

-5 + 3 = -2

V is left so it's -2v

For k-2-6+5k

k + 5k - 2 - 6

6k - 2 - 6

6k - 8

1) -5v + 3v

= -2v

2) k - 2 - 6 + 5k

First take all like terms (everything with the same letters):

k + 5k = 6k

6k - 2 - 6

-2 - 6

= -8

6k - 8

Expectations: Post at least 3 different ways to represent the number

Answers

Answer:

Step-by-step explanation:

8 1/4%

8.25%

0.0825

What is the slope from the following ordered pairs? (-2,0) (0,4) (2, 8) (4, 12)

Answers

Answer:

the slope is 2

Step-by-step explanation:

y2-y1

divided by

x2-x1

equals

4-0

divided by

0- (-2)

equals

4/2 which is 2

Camaro's are the best.

Answers

Answer:

I would love me a camaro

Step-by-step explanation:

Answer:

First car i wanted my whole  life!!!!!

Step-by-step explanation:

Calculate the value of 4x2 + xy when x = 3 and y=-2.

Answers

Answer:

Step-by-step explanation:

4x squared + xy

4x(4x) + xy

12(12) + 3 x 2

144 + 6

= 150

Which equation represents the line containing the points (8,1) and (-4,-2)

Answers

Answer:

Answer is the 2nd one

Hope it was helpful

pleaseee helpppp!!!!

Answers

Answer:

Substitute the given value into the function and evaluate.

2 x 3 + 7 x 2 − 4 x − 15

Step-by-Step Process

1. The monthly rent (1) for an office place is directly proportional to the size of the office
(a) if a 420 sq foot office rents for 12, 600 pesos per month, then what is the rent for a
900 sq foot office?​

Answers

1 = k x a
12600 = k x 420 divide 420 each side
30 = k
1 = 30 x 900

27,000 = monthly rent for 900 sq foot office

For questions 3 & 4, name the applicable polynomial identity and use the identity to multiply each expression.


3. (2 + 8)(2 − 8)


4. ( + 33)2

Answers

Answer:

The quadratic x2 − 5x + 6 factors as (x − 2)(x − 3). Hence the equation x2 − 5x + 6 = 0

has solutions x = 2 and x = 3.

Similarly we can factor the cubic x3 − 6x2 + 11x − 6 as (x − 1)(x − 2)(x − 3), which enables us to show that the solutions of x3 − 6x2 + 11x − 6 = 0 are x = 1, x = 2 or x = 3. In this module we will see how to arrive at this factorisation.

Polynomials in many respects behave like whole numbers or the integers. We can add, subtract and multiply two or more polynomials together to obtain another polynomial. Just as we can divide one whole number by another, producing a quotient and remainder, we can divide one polynomial by another and obtain a quotient and remainder, which are also polynomials.

A quadratic equation of the form ax2 + bx + c has either 0, 1 or 2 solutions, depending on whether the discriminant is negative, zero or positive. The number of solutions of the this equation assisted us in drawing the graph of the quadratic function y = ax2 + bx + c. Similarly, information about the roots of a polynomial equation enables us to give a rough sketch of the corresponding polynomial function.

As well as being intrinsically interesting objects, polynomials have important applications in the real world. One such application to error-correcting codes is discussed in the Appendix to this module.

Step-by-step explanation:

The sum of the ages of John and Mary is 32. Four years ago, John was twice

as old as Mary. Find the present age of each. Please use algebraic equations.

Answers

john: 56

Mary: 24

(Tbh I'm probably really wrong, I'm so sorry )

Answer: john is 20 and mary is 12

Step-by-step explanation:

J + M = 32

J - 4 = 2(M-4)

solve

Graph the function.
5. g(x) = 3(x - 2)
10
8
03
N
2 4
6
8 10
10 8 6 4 2
-2
44
-6
-8
-101

Answers

Answer:

10 8 6 4 2 hope that helps

HELP!!
I have the answer all I need is to show the work pls help if u can

What is the measure angle of angle A in the triangle?

Answer: 62

Answers

Step-by-step explanation:

find angle c: 180-116= 64

solve for x:

(2x+4)+(3x-13)+64=180

5x+55=180

5x=125

5x/5 = 125/5

x=25

plug in x: 3(25)-13= 62

Let a, b, and c be constants, and let x be a variable. Which of the following is
equivalent to a(x + b) < c when a < 0? (Rearranging Formulas) IMAGE BELOW :D

Answers

Answer:

C

Step-by-step explanation:

We are given that:

[tex]a(x+b)<c[/tex]

Where a < 0.

To solve for x, we can divide both sides by a.

Since a < 0, a is negative. Hence, we must flip the inequality sign. This yields:

[tex]\displaystyle x + b > \frac{c}{a}[/tex]

Subtract b from both sides. Hence:

[tex]\displaystyle x>\frac{c}{a}-b[/tex]

In conclusion, our answer is C.

The temperature of dry ice is -78.5° C. Which is colder, dry ice or liquid nitrogen?​

Answers

Answer:

Liquid nitrogen is 1. Liquid and 2. 90°C and dry ice is, well, ice. So dry ice is obviously colder.

Step-by-step explanation:

Which is the best estimate for (6.3 times 10 Superscript negative 2 Baseline) (9.9 times 10 Superscript negative 3 Baseline) written in scientific notation? 6 times 10 Superscript negative 4 60 times 10 Superscript negative 5 6 times 10 Superscript 7 60 times 10 Superscript 6

Answers

Answer:

A

Step-by-step explanation:

-x+ 5y = 1
- 2x + 10y = 2

Answers

Answer:

24

Step-by-step explanation:

Factor the polynomial expression 8x^2 + 2.

Answers

Answer: 4096

Step-by-step explanation:

(2x+i)(2x-1)

Simplify: √x16y36
Possible answers
x8y18
x8y6
x4y18
x4y6

Answers

Answer:

result(s) found

x8y18

See steps

Step by Step Solution:

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y3"   was replaced by   "y^3".  1 more similar replacement(s).

Simplify :sqrt(x16y36)

Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

   (2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      (3.1) sqrt(x8)=x4

     (3.2) sqrt(x-6)=x-3

    (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

      (4.1) sqrt(x5)=x2•sqrt(x)

     (4.2) sqrt(x-7)=x-3•sqrt(x-1)

 Applying these rules to our case we find out that

      SQRT(x16y36) = x8y18

Simplified Root :

 x8y18 

Step-by-step explanation:

please mark me as the brainliest thank you

Harolds computer hard drive has 131.25 GB of free space which is about 17.5 of the capacity of his hard drive what is the capacity of the hard drive in GB

Answers

Answer: 1,000 gigabytes

Step-by-step explanation:

If you invest $1000 into an account that earns 8.5% interest each year, WHAT
EQUATION WOULD MODEL how much you would have after 35 years?

Answers

Answer:

i believe it would be 35(1000 x 8.5%)

Step-by-step explanation:

Lakita wants to go to trade school and study electronics for a​ two-year program. Her tuition and books will cost about​ $5,500 per year. She will also spend about​ $100 a month commuting from her​ parents' house to school. How much will her education cost her in​ total?

Answers

Answer:

$13,400

Step-by-step explanation:

We will first have to take account of the commuting cost, years at school, and total cost of tuition and books

It would cost $5,500 per year, she is studying at the school for 2 years, we will multiply 5,500 by 2

$5,500 * 2

= $11,000

The cost of commuting per month will be multiplied by 12 to represent a year and another 2 for two years

$100 * 12 * 2

= $2400

We all these together for the total cost of her education

$11,000 + $2,400

= $13,400

Match the percent on the left with the sum of friendly percents on the right

Answers

Answer: See explanation

Step-by-step explanation:

25% + 25% + 25%

= 75%

10% + 25%

= 35%

50% + 10%

= 60%

10% + 10%

= 20%

A fair coin is flipped 5 times
What is the probability that no two consecutive flips have the same result?
Express ur answer as a common fraction

HELP ME!!

Answers

Answer:

2/5

Step-by-step explanation:

The answer is common sense.

The probability that no two consecutive flips have the same result is [tex]\frac{1}{16}[/tex].

If a coin is flipped then there are two possible outcomes Head(H) and Tail (T).

So each flip can have 2 possible outcomes. It means 5 flips have [tex]2^5=32[/tex] possible outcomes.

Among these 32 outcomes only 2 outcomes : HTHTH and THTHT have "no two consecutive flips have the same result".

So the probability that no two consecutive flips have the same result is = [tex]\frac{2}{32} =\frac{1}{16}[/tex].

Learn more: https://brainly.com/question/13604758

What is 1 1/3 as a percent pls?

Answers

Answer:

133.3333333333333333%

Step-by-step explanation:

never ending 3

Answer:133.3%

Step-by-step explanation:

Which of the following completes the proof?

Triangles ABC and EDC are formed from segments BD and AC, in which point C is between points B and D and point E is between points A and C.

Given: Segment AC is perpendicular to segment BD

Prove: ΔACB ~ ΔECD

Reflect ΔECD over segment AC. This establishes that ∠ACB ≅ ∠E'C'D'. Then, ________. This establishes that ________. Therefore, ΔACB ~ ΔECD by the AA similarity postulate.
translate point E' to point A; ∠E'D'C' ≅ ∠ABC
translate point D' to point A; ∠E'D'C' ≅ ∠BAC
translate point D' to point A; ∠D'E'C' ≅ ∠BAC
translate point E' to point A; ∠D'E'C' ≅ ∠BAC

Answers

From the given question, the required answer is option D. It can be deduced that: Reflect ΔECD over segment AC. This establishes that ∠ACB ≅ ∠E'C'D'. Then, (translate point E' to point A). This establishes that (∠D'E'C' ≅ ∠BAC). Therefore, ΔACB ~ ΔECD by the AA similarity postulate.

Rigid transformation is a process of resizing a given shape or figure. This can be done by either increasing or decreasing its dimensions (size) or changing its orientation. Some of the methods required in rigid transformation are: reflection, translation, rotation etc.

From the given question,

if ΔECD is first reflected over (turned about) segment AC, it would be deduced that m∠ACB ≅ m∠E'C'D' = [tex]90^{o}[/tex](right angle principle).

Then, the next process is to translate (extend) point E' to point A, so that m∠D'E'C' ≅ m∠BAC.

This would also ensure that m∠E'D'C' ≅ m∠ABC due to the translation.

This implies that ΔACB ~ ΔECD by the AA similarity postulate.

Therefore, performing reflection and translation operations on ΔECD step-wisely can be used to prove that ΔACB ~ ΔECD by the AA similarity postulate.

A sketch for more clarifications is herewith attached to this answer.

For more clarifications, visit: https://brainly.com/question/20486329

Answer:

its d, i took the test

(at the bottom of the photo it says earned 1 point meaning it right)

3. If F, G, and H are the midpoints of the sides
of AJKL, FG = 37, KL = 48, and GH = 30,
find each measure.
K
a) FH =
G
b) JL =
c) KJ =
d) FJ =

Answers

Answer:

Step-by-step explanation:

(a). FH = KL / 2 = 48 ÷ 2 = 24

(b). FG = JL / 2 = 37 ⇒ JL = 2 × FG = 74

(c). KJ = 2 × GH = 2(30) = 60

(d). FJ = KJ ÷ 2 = 30

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