Which of the following statements is a valid polynomial identity?

Statement 1: x3 + 216 = (x − 6)(x2 + 6x + 36)
Statement 2: x3 + 216 = (x + 6)(x2 − 6x + 36)

Group of answer choices

Only statement 1 is valid.

Only statement 2 is valid.

Statement 1 and statement 2 are valid.

Statement 1 and statement 2 are invalid.

Answers

Answer 1

Answer:

B. Only statement 2 is valid.

Step-by-step explanation:

Using identities

a³ + b³ = (a + b)(a² - ab + b²)a³ - b³ = (a - b)(a² + ab + b²)

Applying to the given statements, we can see the second one is valid.

Correct choice is B

Answer 2

Answer:

Only statement 2 is valid

Step-by-step explanation:

Let's see how

[tex]\\ \rm\rightarrowtail x^3+216[/tex]

[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]

Hence verified


Related Questions

A taxi company charges a flat fee of $3.50 per ride plus an additional $0.65 per mile. If Ian has only $10, what is the farthest he can ride?

Answers

Answer:

10 miles

Step-by-step explanation:
Before he goes anywhere there is a fee of $3.50. $10 - $3.50 = $6.50. If you divide $6.50 by $0.65 you can find how many miles he can ride. $6.50 divided by $0.65 = 10. That means Ian can ride the taxi for 10 miles.

A jar of 36 coins contains 9 pennies. What percent of the coins are Pennies

Answers

9/36= .25


The answer is 25%

Answer:

25%

Step-by-step explanation:

The fraction of coins which are pennies

= 9/36

= 1/4.

As a percent this is 1/4 * 100

= 25%.

precio antes de impuestos 1563.60 impuesto 5.4%

Answers

Answer:

precio antes De impuestos 1563.60 impuestos 5.4%

I need help ASAP! I took a screenshot of the question and linked it.

Answers

Before we solve this problem:

    ⇒ let's figure out what all the variables in the equation stand for

t: number of years after initial rabbit populationr(t): number rabbits in 't' years

Question 16: How many rabbits will there be in 8 years?Since it is asking how many rabbits there be in 8 years

         ⇒ that means we substitute 8 into 't' of the equation

                 [tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]

          *we will round down the number of rabbits since it is impossible to

           have 0.2 of a rabbit

       There will be 4519 rabbits in 8 years.

Question 17: When will the population be 15000?Since it asking for when the population or R(t) will be 15000

         ⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'

                [tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]

            *in this case, you want it to the nearest year, round it up since we

             asked for how many years, and if we were to say 11, the

            the population of rabbits wouldn't have reached that number yet,

           so we will round up to ensure that number has been reached by

           that year.

       

       It will take at least 12 years for the rabbit population to reach 15000

Hope that helps!

       

On a map 0.5 inches is equal to 5 miles. Suppose Washington, D.C. is 1.25 inches from Baltimore Maryland. How far are the two cities apart ?

Answers

The two cities would be 12.5 miles apart.

What is the value of w?

Answers

Answer:

amgle sut is equal to angle suv bcz of sas criteria . so 10+w = 3w

on solving we get w= 5

-1/2 (-3 / 2x + 6x + 1) -3 x

Answers

Answer: here

Step-by-step explanation:

−21−24

Answer: negative 21 Negative 224


-21-24

1 message What is the graph of the solution set of b - 4 ≥ -1?

Answers

Answer:

Hope the picture will help you!!

If someone can help me step by step exactly

Answers

1) fill the numbers into your equation
2) 130-135=-5
3) now you should have -5 divided by 5, divided by the square root of 28
4) simplify the equation to -1 divided by the square root of 28
5) you now need to multiply both the numerator and the denominator by the square root of 28 divided by the square root of 28
6) you have now got the square root of 784 and you can now simplify the denominator to 28
7) your equation should be Z= -1 multiplied by the square root of 28 over 28
8) depending on how your teacher wants you to simplify your answer can stop there or go even farther to -5.29/28

The value of z using the information and the formula provided in the question is -5.292.

What is the value of z?

Subsituting for the missing values in the formula, the formula becomes: [tex]\frac{130 - 135}{\frac{5}{\sqrt{28} } }[/tex]

Solving for the numerator, the number becomes -5. Solving for the denominator, the number becomes 0.94491

z = -5/0.94491

z = -5.292

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

Which expression is approximately equal to 5 5/8 x 4 5/6?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{5 \dfrac{5}{8}\times 4\dfrac{5}{6}}\\\\\mathsf{= \dfrac{5\times6+5}{8}\times\dfrac{4\times6+5}{6}}\\\\\mathsf{= \dfrac{45}{8}\times \dfrac{29}{6}}\\\\\mathsf{= \dfrac{45\times29}{8\times6}}\\\\\mathsf{= \dfrac{1,305}{48}}\\\\\mathsf{= \dfrac{1,305\div3}{48\div3}}\\\\\mathsf{= \dfrac{435}{16}\approx 27 \dfrac{3}{16}}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{27\dfrac{3}{16}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

solve for x !
[tex]x {}^{2} - 36 = 0[/tex]

thankyou ~​

Answers

Answer:

X = 6. Give brainliest

Step-by-step explanation:

Solution:

x² - 36 = 0

or x² = 36

or x² = 6²

Therefore, the value of x is 6.

Answer:

x^2-36=0

x^2-36+36=0+36

x^2=36

x=√(36),x=-√(36)

√(36) → 6

-√(36) → -6

x=6,x=-6

for a standard distribution, which of the following variables always equals 0?

Answers

Second option I believe

Find the area of the polygon

Answers

Answer:

40

put some efforts dude...they are so easy

Answer:

40

Step-by-step explanation:

area of a triangle= ½×base× height½×4×6=10since the polygon ha four equal triangles with the same measurement,multiply by four10×4=40ans=40

hope that helps

292.9 divided by 29 how do u work that out

Answers

Answer:

10.1

Step-by-step explanation:

 292.9

   29

since there is one decimal place, you'll multiply both e' numerator and denominator by a number with ONE ZERO. i.e- 10.           SO:      292.9  ×  10

                                 29     ×  10

               2929

                290    This is the same as: 2929 / 290  or  2929 ÷ 290

                               = 10.1

WELL UNDERSTOOD????

   

Part 1 , i really need help if anyone have the items for these please help

Answers


That’s should help you with that!!

Which of the following is equivalent to 3(y + 4) – 7? (А) Зу — 5 - В Зу – 3 С Зу + 5 D Зу +6​

Answers

hello!

Use the Distributive Property, which states the following:-

a(b+c)[tex]\rightarrow[/tex]ab+ac

Simplify:-

3(y+4)-7

3y+12-7

Combine Like terms:-

[tex]\sf{3y+5}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

An exam consists of 50 multiple choice questions. Based on how much you studied, for
any given question you think you have a probability of
p = 0.70 of getting the correct answer. Consider the
sampling distribution of the sample proportion of the 50
questions on which you get the correct answer.

Answers

Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:

[tex]\mu = p = 0.7[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

PLEASE HURRY What is the surface area of this right rectangular prism?

Enter your answer as a mixed number in simplest form

Answers

first off, let's change all the mixed fractions to improper fractions.

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{left and right}}{2\left( \frac{4}{3}\cdot \frac{5}{2} \right)}~~ + ~~\stackrel{\textit{front and back}}{2\left( 3\cdot \frac{4}{3} \right)}~~ + ~~\stackrel{\textit{top and bottom}}{2\left( 3\cdot \frac{5}{2} \right)}} \\\\\\ \cfrac{20}{3}+8+15\implies \cfrac{89}{3}\implies 29\frac{2}{3}[/tex]

Which decimal is greater: 7.09 or 7.1?

Answers

Answer: 7.1

Step-by-step explanation:

7.09<7.10

7.10=7.1

sometimes adding a zero helps

Evaluate x^3-3y when x=-3 and y=4

Answers

Answer:

If you would like to solve x^3 - 3 * y when x = - 3 and y = 4, you can do this using the following steps:

x = - 3

y = 4

x^3 - 3 * y = (-3)^3 - 3 * 4 = -27 - 12 = - 39

The correct result would be A -39.

Step-by-step explanation:

pa answer PO Ng question ko plss BRAINLYES Naman dyan

Please help me I’ll mark brainly

Answers

Answer:

Step-by-step explanation:

First box: (3/4)*b

Second box (3/4 * -8)

third box (3/4b)

fourth box: -6

5th box: 12

complete the squares​

Answers

i wanted to ask what exactly the question is

??

Which comparison is correct?
0.29<0.279
1.32<1.319
0.420>0.42
3.544>3.455

Answers

Answer:

3.544>3.455

Step-by-step explanation:

This is because if you look at the numbers .5 is greater than (>) .4

3. What function can be used to model data pairs that have a common ratio? (1 point)

O linear
O quadratic
Oexponential
Onone of the above

Answers

Answer:

The function that can be used to model data Paris that have a common ratio is exponential.

common ratio exponential

Hemos comprado 3 kg de manzanas y nos han cobrado $ 3.45. ¿Cuánto nos cobrarían por 1, 2, 5 y 10 kg?

Answers

Answer:

Por 1 kg: $1.15

Por 2 kg: $2.30

Por 5 kg: $5.75

Por 10 kg: $11.50

Lo siento si esta respuesta no es correcta, si lo es o no, por favor dímelo en los comentarios!

Step-by-step explanation:

Primero, divida $ 3.45 por 3, lo que le dará $ 1.15.

Luego, multiplique $ 1.15 a 1, 2, 5 y 10.

(Respondí esto usando un traductor, por lo que mi gramática podría estar un poco desviada. ¡Espero que esto ayude!)


Please help. You get imaginary money if you help

Answers

Answer:

perimeter: 73.81 inarea: 284.955 in²

Step-by-step explanation:

You want to find the perimeter and area of a sector that is 3/4 of the circle. The perimeter will be the sum of twice the radius and the length of the arc. The area will be 3/4 of the area of the full circle.

__

Perimeter

The length of a circular arc is ...

  s = rθ . . . . . where θ is the central angle in radians

  s = (11 in)(3/2π) . . . . . . . a 3/4 circle has a central angle of 3/2 radians

  s = (11 in)(3/2)(3.14) = 51.81 in

When we add the two radii to this, we get a total perimeter of ...

  P = 2r +s = 2(11 in) +51.81 in = 73.81 in . . . . perimeter of the figure

__

Area

The area of a sector is given by the formula ...

  A = 1/2r²θ . . . . . where r and θ are the radius and central angle (in radians)

  A = 1/2(11 in)²(3/2π) = (1/2)(121 in²)(3/2)(3.14)

  A = 284.955 in² . . . . area of the figure

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

You must set up a proportion, it is called finding the geometric mean.

[tex] \frac{x}{4} = \frac{36}{x} [/tex]

Then, you must cross multiply to get:

[tex] {x}^{2} = 144[/tex]

Then, take the square root

[tex] \sqrt{ {x}^{2} } = \sqrt{144} [/tex]

[tex]x = 12[/tex]

If this answer helped you, I would greatly appreciate the brainliest :D

A. 108
B. 792
C. 891
D. 126

Answers

Answer:

C. 891.

Step-by-step explanation:

This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.

Area of a triangle = 1/2 * base * height

Area of 1 triangle in this  polygon = 1/2 * 12 * 16.5

Area of the polygon = 9 *  1/2 * 12 * 16.5

=  891

FIRST GET BRAINIEST PERIODTT TYSMMSMSMMSM

Answers

4+4+6+6=12+8=20

hope this helps

height: 6-2=4 units

length: 9-3=6 units

4×6=24

-> 24 units

IM STUCK CAN SOMEBODY SOLVE THIS EQUATION

Answers

Okay, so the first one will be 15,15
18,15. 21,18 22,25. 36,30 38,33 39,34
41,4-
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