HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944

HELP PLEASE PLEASE 50 PTSThe Polynomial Is Missing The Coefficient Of The Third And Last Terms.729x3

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Ed2021

Answer 2

The missing coefficient of xy² is 972, option C is correct.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³

To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.

According to the binomial theorem, the expansion of (a + b)^3 is:

(a + b)³ = a³ + 3a²b + 3ab² + b³

Comparing this with the given polynomial, we can see that a = 9x and b = -2y.

Substituting these values in the binomial theorem, we get:

(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³

Simplifying this expression, we get:

729x³ - 1,458x²y + 972xy² - 8y³

Therefore, the missing coefficient of xy² is 972, option C is correct.

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Related Questions

A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money did the club have at first? *

Answers

Answer:

$71713

Step-by-step explanation:

If each chair cost $199 then multiple 199 by 355

[tex]199*355= 70645[/tex]

If they still have 1068 then add that into the sum

[tex]70645+1068=71713[/tex]

So your answer is $71713

Answer: $71,713

Step-by-step explanation:

First you would multiply 355 by 199 to get 70,645. Next you would add the remainder of what they had, $1,068, and get the answer. hope this helps.

helllllllppppp me pleaseeeeeeeee!!!!

Answers

I think the answer is 1/2!

Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches

Answers

Answer:

0.91924

Step-by-step explanation:

Given that :

A normal distribution has ;

Mean (m) = 109.0 inches

Standard deviation (σ) = 10 inches

Sample size (n) = 25

Probability that randomly picked years is less than 111.8 inches

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

x = score = 111.8 inches

Zscore = (111.8 - 109.0) / (10/√25)

Zscore = (2.8) / (10/5)

Zscore = 2.8 / 2

Zscore = 1.4

P(Z < 1.4) = 0.91924 ( using z probability calculator)

P(Z < 1.4) = 0.91924

What is 3/4 ÷ 1/2 ?​

Answers

Answer: 3/4 divided by 1/2 is 1.5

-2/3 times 2 1/2 times (-3)

Answers

Answer:

Answer if 5

Step-by-step explanation:

-2/3 times 5/2 equals -5/3 times -3 equals5

Answer:

5.

for help with multiplying factions, take a look at this chart.

What is the slope of the line y-5=3(x-2)?

Answers

I believe it is 3, if you follow the equation y=mx + b, the m value will be your slope

What 2+2.... I need help lololololol.olo

Answers

Answer:

4

Step-by-step explanation:

2+2 is 4

4 :) you’re welcome

Help plz this is due at 11:59

Answers

Answer:

A

Hope this helps ;)

A ITS A HOPE IT HELPED

In a standard normal distribution, what percent of values are less than -0.23?​

Answers

Answer:

0.4

Step-by-step explanation:

6m + 4n + 3m - 6

What is the expression in simplest form

Answers

9m+4n-6 thats the answer
9m+4n-6

you only add the like terms 6+3

PLEASE HELP ASAP I GIVE YOU BRAINLIEST AND 20 POINTS

can a system of linear equations be inconsistent and dependent? explain.

Answers

Answer:

No

Step-by-step explanation:

Inconsistent means it has no solution, which means they do not intersect

Dependent means it is the same line

You cannot have both the same line and not intersecting.

2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56

Answers

Answer: subtraction property of equality

Step-by-step explanation:

plssssssssssssssssssssssss help for test
Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.

Answers

the first thing we must do is define variables.

We have then:

n: number of cans that each student must bring.

We know that:

The teacher will bring 5 cans

There are 20 students in the class

At least 105 cans must be brought, but no more than 205 cans

Therefore the inequation of the problem is given by:

105 < 20n + 5 <205

Answer:

the possible numbers n of cans that each student should bring in is:               105 < 20n + 5 < 205

Need HELP PLEASE! will mark brainliest and everything else!
THX

Answers

Answer:

0

Step-by-step explanation:

Order of operation:

P-parenthesis

E-exponents

M-multiplication

D-division

A-addition

S-subtraction

Follow this order of operation in order.

If there are parenthesis when solving an equation, do the parenthesis first, if there are exponents and multiplication, do exponents before you do multiplication.

14 + 5(-3) + 1

Multiply 5 * -3

14 + -15 + 1

Add 14 + (-15)

-1 + 1

Add -1 + 1

0

Hope this helps and pls do mark me brainliest:)

Answer:

0

I hope this helps!

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
1.When x = 3, both expressions have a value of 30.
2.When x = 5, both expressions have a value of 42.
3.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
4.When x = 2, both expressions have a value of 15, and when x = 6, both expressions 5.have a value of 39.

Answers

Answer:

2

Step-by-step explanation:

I think

Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor variables. See Step 5 in the Python script. How might the car rental company use this model

Answers

Answer:

Step-by-step explanation:

Response Variable: Miles per gallon

Predictor Variables: Weight, Horsepower

The multiple regression equation would be: M = aW + bH + c

where M = miles per gallon

a = slope of the graph of W on M OR rate of change in M due to change in W

W = weight

b = slope of the graph of H on M OR rate of change in M due to change in H

H = horsepower

c = intercept of M on the y-axis OR constant variable

How might the car rental company use this model?

The car rental company might use the regression model to determine the following:

- Effect of weight (of car) on miles run per gallon (of premium motor spirit)

- Effect of horsepower on miles per gallon; etc.

Alabama has 140 state legislators representing its population of 4 million people. Pennsylvania has 12 million people. How many legislators should it have for representing that is proportional to Alabama?

A) Pennsylvania should have 1,680 legislators

B) Pennsylvania should have 560 legislators

C) Pennsylvania should have 140 legislators

D) Pennsylvania should have 420 legislators


Someone Please Help Me ( It’s Not A )

Answers

Answer:

420

140 x 4 = 420

Step-by-step explanation:

123.456 RONDED TO THE NEAREST HUNDREDTH.

Answers

123.456 RONDED TO THE NEAREST HUNDREDTH.

Answer:

123.46

Answer:

123.46 is probably the answer

The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle

Answers

Answer:

17*21 = 357

Step-by-step explanation:

Firstly, set up your equation.

x*(x+4)=357

Multiply X by (x+4)

x^2+4x=357

You then subtract 357 from both sides

x^2+4x-357=0

Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.

[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]

2. How far does light travel in water in 5.0 X
102 seconds, if the speed of light in water is 3
108 m/s?

Answers

It travels 3637474848362.626 miles a second.

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 10 kg weighs 80 N. Calculate the mass of another object that weighs 72 N.

Answers

Answer:

9kg

Step-by-step explanation:

If a 10kg object exerts a weight of 80N, it means that the gravitational acceleration is 8N/kg. This means that the weight of an object will be 8x its mass. So, if we want to find an object's mass from its weight, we simply need to divide it by 8. 72/8=9. The other object has a mass of 9kg.

Hope this helped!

Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it​

Answers

Answer:

thanks

Step-by-step explanation:

<3

Factorise fully
-x - 8


please do quick! will mark brainiest!​

Answers

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

-1(x+8)1(-x -8)

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

BRAINLIEST Multiply each side by the common denominator​

Answers

Answer:

c. x² + 2x -5 = 0

Step-by-step explanation:

 Given expression;

         [tex]\frac{5}{x}[/tex]   = [tex]\frac{x + 2}{3}[/tex]  

Unknown:

 The quadratic equation equivalent to this expression:

Solution:

  The common denominator here is 3x;

 

    So, multiply both sides by 3x

          [tex]\frac{5}{x}[/tex] x 3x  =  [tex]\frac{x + 2}{3} x[/tex] 3x

          5 x 3 = (x + 2)x

           15 = x² + 2x

     So;

          x² + 2x - 15

The quadratic expression is x² + 2x - 15

What’s the y intercept

Answers

The y intercept is where the function intersects the y-axis.

Answer:

y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Please and wet the question. Thanks

Answers

Answer:

1.0.00015*0.33333...

2.(3^4*2^6)

HOPE THIS HELPS

From the table below, determine whether the data shows an exponential function. Explain why or why not.
х
3 1 -1 -3
у
1 2 3 4
a. No; the domain values are at regular intervals and the range values have a common sum 1.
b. No; the domain values are not at regular intervals.
C. Yes; the domain values are at regular intervals and the range values have a common factor 2.
d. Yes; the domain values are at regular intervals and the range values have a common sum 1.

Answers

Answer:

B because the domains repeat themselves so it can not be a function

No; the domain values are not at regular intervals.

The correct option is b.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

In an exponential function, the domain values are usually at regular intervals, and the range values have a common factor or a common sum.

In the given data, the domain values are not at regular intervals.

The difference between 3 and 1 is 2, and the difference between 1 and -1 is 2, but the difference between -1 and -3 is -2.

This indicates that the domain values are not at regular intervals, which means that the data cannot be modeled by an exponential function.

Additionally, the range values also do not have a common factor or a common sum. The difference between consecutive y-values is 1, which is not a constant factor or sum.

Therefore, the data cannot be modeled by an exponential function.

To learn more about exponential;

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The formula to put in E176 that will give me the sum of all the units sold by the indicated sales rep and product is:

Answers

Question attached

Answer :

There is no such formular

Explanation:

there is no such Formula I'm the options given. However the total product units sold by the sales representative for the period can be calculated in the excel sheet by adding up the cells with the units sold(cells F179,F180... to F186) and inserting the formula in the cell under total units sold by sales representative. So any change of figures in the cells added would reflect in the total units cell E176, if there is an additional figure for units sold in another cell, we could add this cell to formula in E176

Can you help me with this one?

Answers

haven’t done this in a while but the first is rational, second is irrational, third is rational, fourth is irrational, fifth is rational, sixth is rational, seventh is irrational

I just need some one to explain how to do it ,​

Answers

Answer:

f(x) = (x^2-16) / (x+3)

f(x) has no horizontal asymptote.

Vertical assymptote is x = -3

Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.

the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.

the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1

the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is  --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line

Step-by-step explanation:

Hope this helps! brainliest please

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