Which of the following is not a polynomial identity?

Which Of The Following Is Not A Polynomial Identity?

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

Option A

a² - b² = (a+ b)(a - b)

It's a polynomial identity.

Option B

a³ + b³ = (a - b)(a² - ab + b²)

It's not a polynomial identity.

Because the identity is,

a³ + b³ = (a + b)(a² - ab + b²)

Option C

a³ - b³ = (a - b)(a² + ab + b²)

It's a polynomial identity.

Option D

(a²+ b²)(c² + d²) = (ac - bd)² + (ad + bc)²

                         = a²c² - 2abcd + b²d² + a²d² + b²c² + 2abcd

                         = a²c² + b²c² + b²d² + a²d²

                         = c²(a² + b²) + d²(a² + b²)

                         = (a²+ b²)(c² + d²)

Therefore, it's a polynomial identity.

Option B will be the answer.


Related Questions

What is 5 (x-4) + 3x - 9x + 7?

Answers

Answer:

-x - 13

Step-by-step explanation:

5(x-4) + 3x - 9x + 7

First we use the distributive property to remove the parenthesis

5x -20 + 3x - 9x + 7

then we combine the like terms

-x - 13

I really need help please
what is this?​

Answers

Answer:

431.2

Step-by-step explanation:

Area of a regular polygon = # of sides * side length of 1 side * apothem

We want to find the area of a regular polygon with 7 sides, an apothem of 8 meters, and a side length with 7.7 meters

So # of sides = 7

apothem = 8

side length = 7.7

so the area would equal 7 * 8 * 7.7 = 431.2

It says to round to the nearest tenth however 431.2 is already rounded to the nearest tenth

Answer:

That answer ^ is incorrect. The correct answer ( in acellus that is ) is 2

15.6

Step-by-step explanation:

Convert 625 to base twelve

Answers

Answer:

441

Step-by-step explanation:

Which function has exactly one real solution? A. f(x) = -4x2 + 9x B. f(x) = 2x2 + 4x – 5 C. f(x) = 6x2 + 11 D. f(x) = -3x2 + 30x – 75​

Answers

Answer:

A.

[tex]{ \tt{f(x) = - 4 {x}^{2} + 9x }}[/tex]

Step-by-step explanation:

[tex]{ \tt{f(x) = x( - 4x + 9)}}[/tex]

find the length of side x

Answers

Answer:

x=8

Step-by-step explanation:

It takes Barry 912 hours to detail a car. If he worked 57 hours during the week, how many cars did he detail?

Answers

Answer:

He detailed 16 cars.

912/57=16

Step-by-step explanation:

4) A box has dimensions of 14 inches long, 1.4 feet wide,
and 9 inches high. What is the volume of the box?
The formula for the volume is V=1.w.h.

Answers

Answer:

2116.8 in^3

Step-by-step explanation:

V = l*w*h

All the units need to be the same

Convert 1.4 ft to inches

1.4 ft * 12 inches/ ft = 16.8 inches

V = 14 * 16.8  * 9

   = 2116.8 in^3

In a certain​ survey, 513 people chose to respond to this​ question: "Should passwords be replaced with biometric security​ (fingerprints, etc)?" Among the​ respondents, 53​% said​ "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts​ (a) through​ (d) below. a. Are any of the three requirements​ violated? Can a test about a population proportion using the normal approximation method be​ used?

Answers

Answer:

The sample observations are not a random​sample, so a test about a population proportion using the normal approximating method cannot be used.

Step-by-step explanation:

The necessary conditions are

The sample must be random and independently selected from the normally distributed population.

n*p and n*q both must be greater than 5

There must be two outcomes "success" and "failure"

The number of trials must be fixed.

From the given information 2), 3)and 4) conditions are satisfied, but not 1) because we are not given that people are selected randomly.

Answer: The sample observations are not a random​sample, so a test about a population proportion using the normal approximating method cannot be used.

Given limit of f(x) = -4 as x approaches c and limit of g(x) =1/5 as x approaches c. What is limit of g(x)/f(x) as x approaches c?

Answers

Answer:

-1/20

Step-by-step explanation:

As x approaches c,

g(x)         1/5

------ = ------------ = -1/20            (matches last of the four given possible answers)

f(x)          -4

Answer:

[tex]\displaystyle \frac{-1}{20}[/tex]

General Formulas and Concepts:

Calculus

Limit Property [Division]:                                                                                              [tex]\displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \frac{ \lim_{x \to c} f(x)}{ \lim_{x \to c} g(x)}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{x \to c} f(x) = -4[/tex]

[tex]\displaystyle \lim_{x \to c} g(x) = \frac{1}{5}[/tex]

Step 2: Solve

Substitute in limits [Limit Property - Division]:                                                [tex]\displaystyle \lim_{x \to c} \frac{g(x)}{f(x)} = \frac{ \frac{1}{5} }{ -4 }[/tex]Simplify:                                                                                                             [tex]\displaystyle \lim_{x \to c} \frac{g(x)}{f(x)} = \frac{-1}{20}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

14. Divide and write the fraction or mixed number in its simplest form:1/4÷3/8

Answers

Answer:

1/4 ÷ 3/8 = 2/3

Step-by-step explanation:

When dividing fractions, you have to take the reciprocal of the second fraction, then multiply from there. The reciprocal of a fraction is basically flipped. So then, 1/4 ÷ 3/8 becomes 1/4 x 3/8. Multiplying fractions should be pretty straight forward as you just need to multiply numerator (top number of a fraction) with numerator and vice versa for the denominators (bottom number of a fraction).

So then you get: (1 x 8)/(3 x 4) = 8/12. Then you just simplify it by dividing the numerator and denominator by their greatest possible factor, which in this case is 4. So then, (8 ÷ 4)/(12 ÷ 4) = 2/3.

Total 427 tickets sold 73 fewer student tickets than adult tickets how many adult tickets

Answers

9514 1404 393

Answer:

  250

Step-by-step explanation:

Let 'a' represent the number of adult tickets.

  a +(a -73) = 427

  2a = 500 . . . . . add 73

  a = 250 . . . . . . divide by 2

250 adult tickets were sold.

_____

Additional comment

I call this a "sum and difference problem" because we are given the total of two values and the difference between them. As you can see here, the larger of the two values is the average of the given numbers, their sum divided by 2. This is the generic solution to such a problem: the larger number is the average of the given sum and difference.

Find the 5th term (not fourth) of the given geometric sequences.
1, 8, 64,...

Answers

Answer:

GP=ar^{n-i}

a=1

r=8/1=8

GP=8^(5-1)

GP=8^4

5th term=4096

Given:
HI and JK intersect at point O.
m KOH = 110
Colleen was asked to find the measure of x and explain her reasoning

Answers

Line geometry are caused from the intersection of two line. The measure of angle x from the diagram is 110degrees

Linear geometry

Line geometry are caused from the intersection of two lines. From the given figures, you can see that <KOH and <IOK forms a linear pair, hence;

<KOH + <IOK = 180

110 + <IOK = 180
<IOK = 180 - 110
<IOK = 70 degrees

Similarly <x and MIOK are linear pair pair such that <x + 1<IOK = 180
<x + 70 =180
<x = 180 - 70
<x = 110degrees

Hence the measure of angle x from the diagram is 110degrees

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Answer:

<IOK = 70 degrees

<x and <IOK form a linear pair, so m<x is = 110

Step-by-step explanation:

i did it on khan and got it right, i hope your day goes well and you get all your other questions right :)

If f(x)=5(x+3)^3-2. What does f^-1(x) equal?

Answers

9514 1404 393

Answer:

  C  ∛((x+2)/5) -3

Step-by-step explanation:

To find the inverse function, solve for y:

  x = f(y)

  x = 5(y +3)³ -2 . . . . . . substitute f(y)

  x +2 = 5(y +3)³ . . . . . add 2 -- already you know C is the answer

  (x +2)/5 = (y +3)³ . . . . divide by 5

  ∛((x +2)/5) = y +3 . . . . take the cube root

  ∛((x +2)/5) -3 = y . . . . subtract 3

  f^-1(x) = ∛((x +2)/5) -3 . . . . matches expression C

Cos(x)=0.35 all solutions

Answers

Step-by-step explanation:

you have to type shift an cos button together at one time and then write 0.35 youwill get answer

A plane traveled 4425 miles with the wind in 7.5 hours and 3675 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is

Answers

Answer:

540 miles per hour and 50 miles per hour respectively.

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*7.5=4425 and (x-y)*7.5=3675. Solving it, we get x=540 and y=50

Jason collects baseball cards. He bought one card for $25. Its current value is represented by the expression 25(1.02)t, where t is the number of years Jason has owned the card. Is Jason’s baseball card going up or down in value?

Answers

If Jason’s baseball card going up by 2% every year for example

Jason’s baseball card after 1 year is
25×(1.02)^(1)=25.5
It increased by 0.5 in amount after one year
91927278 shahs woaozi I uhenenenfbbfbfjcxkzozooal qelll 81727238 aooaizhabenc 25$

Select all that apply.
Given the points (5, 10) and (-4,-8), which of the following are true about the line passing through these points?

The line has a slope of 1/2

The line represents a direct variation function

The point (6.3) is also on the line

The line has a slope of 2

Answers

Answer:

The line represents a direct variation function

The line has a slope of 2

Step-by-step explanation:

In oder to find the slope given two points, use the Slope-Formula to identify the slope

m = slope

m = y2 - y1/x2 - x1

m = -8 - 10/-4 - 5

m = -18/ -9

m = 18/9

m = 2

Therefore, the slope is 2

i dont understand questions like these

Answers

Answer:

same

Step-by-step explanation:

Which of the following is the graph of
(x - 1)^2 + (y + 2)^2 = 4 ?​

Answers

Answer:

a

Step-by-step explanation:

The correct answer is option C which is the graph of the equation ( x-1 )² + ( y+ 2 )² = 4 will be the circle in the third and the fourth quadrant.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given equation is ( x-1 )² + ( y + 2 )² = 4

The graph of the equation is attached with the answer below when we plot the graph we will get the circle that is lying in the third and the fourth quadrant.

Therefore the correct answer is option C which is the graph of the equation ( x-1 )² + ( y+ 2 )² = 4 will be the circle in the third and the fourth quadrant.

To know more about graphs follow

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Geo-net, a cellular phone company, has collected the following frequency distribution for the length of calls outside its normal customer roaming area: Length (min.) Frequency 0<5 260<5 75 5<10 13910<15 10515<20 3720<25 1825+ 400 The sample mean(x) for this distribution is 14.3 minutes, and the sample standard deviation is 3.7 minutes. Determine whether these data are normally distributed (a = .05).

Answers

Answer:

Reject H0 ; and conclude that call length does not follow a normal distribution.

Step-by-step explanation:

Given :

The hypothesis :

H0: Call lengths outside normal customer roaming areas follows normal distribution

H1: Call lengths outside normal customer roaming areas do not follows normal distribution

Mean, μ = 14.3

Standard deviation, σ = 3.7

From the frequencies Given :

Expected values can be calculated :

Observed values :

16, 75, 139, 105, 37, 18 ; Total = 400

P(Z < (x - μ) / σ)) * total frequency

x = frequency

For x = 5 ;

P(Z < (5 - 14.3) / 3.7)) * 400 = 2.391

For x = 10;

P(Z < (10 - 14.3) / 3.7)) * 400 = 46.644

For x = 15;

P(Z < (15 - 14.3) / 3.7)) * 400 = 180.960

For x = 20;

P(Z < (20 - 14.3) / 3.7)) * 400 = 145.32

For x = 25;

P(Z < (25 - 14.3) / 3.7)) * 400 = 23.92

For x = 30;

P(Z < (30 - 14.3) / 3.7)) * 400 = 0.766

χ² = Σ(O - E)²/E

O = observed values

E = Expected values

χ² = (26-2.391)^2 / 2.391 + (75-46.644)^2 / 46.644 + (139-180.96)^2 / 180.96 + (105-145.32)^2 / 145.32 + (37-23.92)^2 / 23.92 + (18-0.766)^2 / 0.766 = 666.17

χ² = 666.17

The critical value "; df = n - 1= 6-1 = 5

α = 0.05

χ²critical(0.05 ; 5) = 11.07

χ²statistic > χ²critical ; Reject the Null, H0 ; and conclude that call length does not follow a normal distribution.

please help!!!! please help!!!!!​

Answers

[True]

Natural numbers are the positive integers (whole numbers) such as 1, 2, 3, and etc. So it is true that zero is less than every natural number.

[Hundreds]

The 8 in 30,846 is in the hundreds place because the 8 stands for 800.

Answer:

1. True

2. Hundreds

Step-by-step explanation:

1. Natural numbers are positive integers (whole numbers) 1, 2, 3, etc. 0 is lower than all of them.

2. 3 (ten thousands), 0 (thousands), 8 (hundreds), 4 (tens), 6 (ones). Try reading out the number.

Question 1 of 25
Is ARST - AXYZ? If so, name the postulate that applies.
R
S
x
Given
STYZ
2
A. Congruent - SSS
B. Congruent - SAS
C. Congruent - ASA
D. Might not be congruent

Answers

SAS i believe :) sorry if im wrong!

The triangles are congruent by SAS theorem

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔRST

Let the second triangle be represented as ΔXYZ

Now , the measure of side RS = measure of side XY

And , the measure of side ST = measure of side YZ

The measure of angle ∠S = measure of angle ∠Y

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Therefore , the triangles ΔRST and ΔXYZ are congruent triangles by the SAS theorem

Hence , they are congruent

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The auto parts department of an automotive dealership sends out a mean of 6.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 3

Answers

Answer:

0.0765 = 7.65% probability that, for any day, the number of special orders sent out will be exactly 3

Step-by-step explanation:

We have the mean, which means that the poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The auto parts department of an automotive dealership sends out a mean of 6.3 special orders daily.

This means that [tex]\mu = 6.3[/tex]

What is the probability that, for any day, the number of special orders sent out will be exactly 3?

This is P(X = 3). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 3) = \frac{e^{-6.3}*6.3^{3}}{(3)!} = 0.0765[/tex]

0.0765 = 7.65% probability that, for any day, the number of special orders sent out will be exactly 3

Jan gives Ted a loan at 4% effective to be repaid by 10 annual payments of 100, followed by 5 annual payments of 200. Just after Ted makes the 5th payment, Jly and Ted discover that each of the 15 payments should have been 10% higher than they were originally scheduled. They agree that Ted will make increased payments of K in the 6th through 10th years to adjust for the error. The payments of 200 in the 11th through 15th years will not change. Determine K.

a. 129
b. 113
c. 145
d. 139
e. 149

Answers

Answer:

139 ( D )

Step-by-step explanation:

Interest rate on loan = 4% = 0.04

Number of payments = 15

First 10 payments = 100 each

last 5 payments = 200 each

Calculating the value of K

K = [ ( 100 / 0.04 * ( 1-1 / 1.04^10 ) + 200/0.04 * ( 1-1 / (1 +0.04)^5)*  1 /1.04^10)

*  1.1 - 100 / 0.04 * ( 1-1 / (1+0.04)^5 ) - 200/0.04 * (1-1 /1.04^5) * 1/1.04^10)*0.04 / ( 1-1 / 1.04^5) * (1 + 0.04)^5

= 138.6051 ≈ 139

Please Help!!! Whoever helps first and gets it correct gets Brainliest!

Answers

Answer:

Step-by-step explanation:

You have three data points. Equation of the line passing through (30,2), (45,2.75), and (60,3.50):

y = 0.5x + 0.5

It takes 0.5 hour to clean up.

A grocery store recently sold a bag of peanuts for $0.76 and a bag of pistachios for $3.68. At the end of that day, 50 bags of peanuts and pistachios were sold for a total of $128.52. How many bags of each were sold?

Answers

Answer:

19 bags of peanuts and 31 bags of pistachios

HELP PLEASE I CANNOT FAIL PLEASE!!!!!!!
Which statement correctly compares the two functions?

A.
They have the same y-intercept and the same end behavior as x approaches ∞.
B.
They have the same x- and y-intercepts.
C.
They have the same x-intercept but different end behavior as x approaches ∞.
D.
They have different x- and y-intercepts but the same end behavior as x approaches ∞.

Answers

Answer:

B

Step-by-step explanation:

they have the same intercepts

write your answer as an integer or as a decimal rounded to the nearest tenth​

Answers

Answer:

Step-by-step explanation:

How do I graph y = -x + 4, please explain

Answers

Start by putting a dot on 4 on the y axis. From that point go down one and one to the right. Make another dot. Connect the two dots
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