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
Answers
Answer:
C
Step-by-step explanation:
Ed2021
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.
To learn more on Polynomials click:
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Related Questions
The base of a triangle exceeds the height by 5 yards. If the area is 250 square yards, find the length of the base and the height of the triangle
Answers
Answer:
height = 20 yards and base = 25 yards.
Step-by-step explanation:
let the height = x yards.
base = (5 + x) yards.
area = 250 square yards
Area = 1/2 bh
250 = 1/2 × (x)(5+x)
250 × 2 = 5x + x2
500 = x2 + 5x
x2 + 5x - 500 = 0
factorizing:
(x + 25)(x - 20) = 0
x = -25 or 20
but length cannot be negative,
hence x = 20 yards.
height = 20 yards
base = (5 + 20) = 25 yards.
What is the mean for 28, 18,19,18,17
Answers
Answer:
20
Step-by-step explanation:
28 + 18 + 19 + 18 + 17 = 100
100 divide 5 = 20
Divide: 814 by 3.7
To make 3.7 a whole number, multiply by
.
If 3.7 becomes 37, then 814 becomes
.
The quotient is
.
Answers
Answer:
here!!! I hope this helps you all :))
The quotient of the divided numbers is:
220
What are whole numbers?
Whole numbers is a set of numbers which consists of positive integers and zero. Fractions are not represented as whole numbers.
For ex: [0,1,2,3,4,5,6,7,8,9....] is a set of numbers without any negative number and fraction.
Given:
Divide 814 ÷ 3.7
Hence, we need to multiply a number to 3.7 in order to make it a whole number.
Step 1:
So multiply and divide by number 10
814 × 10 ÷3.7 × 10 = 37
Now we got the number 37 and 814 becomes 8140
Step 2:
We divide both the changed numbers:
8140 ÷ 37
Hence we get the quotient as 220
Learn more about "whole number divisions" here-brainly.com/question/407943
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what is the value of x,if x=9-9/4
Answers
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
solve the equation
–12p = 24
Answers
Answer:
p = -2
Step-by-step explanation:
24 divided by -12
p= -2
The inverse of a linear function is a blank function
Answers
Answer:
The inverse of a linear function is not a function. Hope this helped
Step-by-step explanation:
Which of the following statements correctly uses the distributive property?
-2(15 - 3) = -2(15) + (-2)(3)
0719- 8) = 7(9) - 8
91-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)
Answers
-3(12+5) = -3(12)-(-3)(5)
Step-by-step explanation:
the distributive property is distributing the -3 to each number
How do I work the problem the ratio of Jane age to her daughter age is 9:2 the sum of their ages is 44... how old is jane
Answers
Answer:
Jane is 4years old......
Help!!!!
Which of the following is a condition for the figure below that will not prove /1 // 12?
Answers
Answer:
option D , <a +<c = 180
Step-by-step explanation:
please mark brainlist
Rosita is making pizzas for a party. Each pizza requires 1 cups of sauce and 1 cups
of cheese. How many whole pizzas can Rosita make if she only has 8 cups of sauce
and 132 cups of cheese?
Answers
Answer:
8 pizzas
Step-by-step explanation:
I cAn Do mAtH!!
Answer:
She can only make 8 pizzas.
Step-by-step explanation:
She only needs 1 cup of sauce and 1 cup of cheese. She has 8 cups of sauce, so she can only make 8 pizzas. What can she do with all the cheese in her refrigerator? Hmmmmm...
A proposed change in income tax suggests charging 20% on a person's income up to $30,000 and then 40% on any
income above that. If a person has an income of $47,000, what will be their income tax under the proposal?
Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Provide your answer below
Answers
Answer:
If you get tax you should know the details of the what the tax is FOR
Step-by-step explanation:
Not enough details in question
Answer:
Step-by-step explanation:
Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is
Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.
Please answer this correctly without making mistakes
Answers
Answer:
89%
Step-by-step explanation:
There are 100 units within the shape and 89 of them are painted so 89% is orange
3x+2=7x+6 what is x
Answers
Answer: -1
1. Deduct 7x.
3x+2−7x=7x+6−7x
−4x+2=6
2. Deduct both sides by 2.
−4x+2−2=6−2
−4x =4
3. Divide by 4.
-4 ÷ 4 = -1
Answer. = -1
Step-by-step explanation:
what is the estimated square root of 15 closest to
Answers
During a chemistry experiment, the volume of a solution increases when distilled water is added to the solution at a constant rate of 100 mL/min. Initially, there are 50 mL of solution, and water is added for 5 min.
Answers
Answer:
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Step-by-step explanation:
|10-4x|-2=9
Please help
Answers
I'm assuming you're asking for x.
Answer: -1/4 and 21/4
Step 1: Add 2 to both sides of the equation.
∣10−4x∣=9+2
Step 2: You can get two equations from this.
10−4x=11 and -(10-4x)=11−(10−4x)=11
Solve both equations.
1st equation:
−4x=11−10
−4x=1
x=-1/4
2nd equation:
−10+4x=11
4x−10=11
4x=11+10
4x=21
x=21/4
Answer:
[tex]x=-\frac{1}{4} , \frac{21}{4}[/tex]
Step-by-step explanation:
Isolate the absolute value signs by adding 2 to both sides of the equation.
[tex]|10-4x|=11[/tex]Create a positive and negative case to solve for absolute value problems.
[tex]10-4x=11 \\ 10-4x=-11[/tex]Subtract 10 from both sides of both equations.
[tex]-4x=1 \\ -4x=-21[/tex]Divide both sides of each equation by -4 in order to isolate and solve for x.
[tex]x=\frac{1}{-4} \\ x= \frac{-21}{-4}[/tex]Simplify these x-values by canceling out the negative sign (2 negatives = 1 positive).
[tex]x= -\frac{1}{4} \\ x = \frac{21}{4}[/tex]x = -1/4 and 21/4 are the solutions to this equation.
HELPPPPPPPPPP
A cafeteria sold 8 1/6 gallons of soda during lunchtime. 2 5/6 gallons were regular soda, and the rest was diet soda. How many gallons of diet soda were sold?
Write your answer as a fraction or as a whole or mixed number.
_________ gallons
Answers
Answer:
5 1/3 gallons
Step-by-step explanation:
Equation: 8 1/6 - 2 5/6
8-2=6
1/6-5/6= -4/6
6-4/6=5 2/6
Simplify:
5 1/3 gallons
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Answers
Answer:
7 tens
Step-by-step explanation:
the value of the first half of the statement is 83 and the value of the second one is 13 (without the tens) so that mean it has 70 left over to make it 7 tens.
Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds
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Step-by-step explanation:
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Answers
Answer :1,760 1,760 1,760 1,760 1,760
Answer:
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Step-by-step explanation:
Units Conversion
Some common length units are meters, centimeters, inches, feet, miles, kilometers, and yards.
There are fixed numbers to convert one into another. For example:
1 mile = 1,760 yards
Since Kevin's school is 5.2 miles away from his house, that distance converted to yards is:
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The distance between Kevin's school and his house is 9,152 yards
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Given parameters:
Selling price = $19.95
Discount percentage = 15%
Unknown:
Amount of discount = ?
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To find the amount of discount, ;
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Answers
Answer:
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Step-by-step explanation:
i hope you get it right
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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16,1,0,1,16 input x and output y -2,-1,0,1,2
Answers
Answer:
what is the question?
Step-by-step explanation:
Do you agree or disagree with the following statement? Explain your reasoning. "Since the speed of the ball is different at each position, there is no way to define probability density because I can’t calculate the probability at just one point."
Answers
Answer:
I disagree with the statement.
Step-by-step explanation:
Speed of the ball is different at each position:
This rhymes with the laws of physics because a ball placed at a certain height or on a certain slope will have a different speed (when thrown or rolled down) from a ball placed at a different height or on a different position on a plane.
There is no way to define probability density because i can't calculate the probability at just one point:
This statement is self-opposing as probability density is meant for times when probability value cannot be calculated or found for every given point! It is meant for continuous variables such as the one you're dealing with here - speed. The way to do this is to derive a probability density value for the variable in question (speed of the ball) for specific position intervals. Hence, divide the positions into intervals e.g.
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So, probability density is used when you cannot the probability at just one point.
Exercise 18.14. Toy defects. Workers at a factory produce a toy with a defect about once every 4 hours on average. Each toy costs the factory approximately $7 in labor and supplies. a. What is the expected number of toys with defects at the end of a 40-hour work week
Answers
Answer: $70
Step-by-step explanation:
Given that:
Toy with defect is produced once every 4 hours
Cost of labor and supplies incurred for producing a defective toy = $7
Number of defective toys that is expected to be produced in a 40 hour work week :
Number of hours / average hour for producing 1 defective toy
= 40/ 4
= 10 defective toys
Cost incurred for producing 10 defective toys :
($7 * 10) = $70
0.047 rewrite as percentage
Answers
Answer:
.05 %
Step-by-step explanation:
Hi! I believe your answer is 4.7%. Simply move the decimal two places to the right. I hope this helps you! Good luck and have a great day. ❤️✨