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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Answer:
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Step-by-step explanation:
<ABC and <ADE are congruent.
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Answer :1,760 1,760 1,760 1,760 1,760
Answer:
The distance between Kevin's school and his house is 9,152 yards
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:
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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
Who thinks ree kid,Joshdub Juicy and mully are super funny!
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Answer:
me
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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8 tens + 3 ones = ____ tens + 13 ones
Answers
Answer:
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Step-by-step explanation:
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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?
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Answers
Answer:
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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:
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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
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Answers
Answer:
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Step-by-step explanation:
Given parameters:
Selling price = $19.95
Discount percentage = 15%
Unknown:
Amount of discount = ?
Solution:
To find the amount of discount, ;
Discount amount = discount percentage x selling price
Discount amount = [tex]\frac{15}{100}[/tex] x 19.95
Discount amount = $2.99
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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:
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|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).
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Step-by-step explanation:
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I cAn Do mAtH!!
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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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Answers
Answer:
it would be 23x but i really don't know
Step-by-step explanation:
i hope you get it right
Help!!!!
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Answers
Answer:
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Step-by-step explanation:
please mark brainlist
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