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.
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Related Questions
Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25
Answers
Answer:
the answer is 9
Step-by-step explanation:
Answer: the correct answer is 9!!!!!
A=1/2h(a+b), solve for a
Answers
Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
2A = h(a + b)
Divide by h on both sides to get:
2A/h = a + b
Subtract b from both sides to get:
(2A/h) - b = a
-9|-x+5|=0
Solve for x.
Answers
Answer:
x=5
Step-by-step explanation:
-9|-x+5|=0
Divide by -9
|-x+5|=0
The are normally two solutions, one positive and one negative, but +0=-0=0
-x+5 =0
Add x to each side
-x+5+x =0+x
5 =x
(4,-8)and(6,-9) written in point-slope form,slope-intercept form, and standard form
Answers
Answer:
Point slope- y + 8 = − 1 2 ⋅ ( x − 4 )
Slope Intercept Form- y = − 1/ 2 x − 6
Slope- m=-1/2
Step-by-step explanation:
Point slope- y-y₁=m(x-x₁)
Slope Intercept form- y=mx+b\
Slope- rise/run= y2-y1/x2-x1
A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.
Answers
Answer:
4x4=shaggy
Step-by-step explanation:
Solve the proportion.
Thursday
Friday
Classes
6
Hours
8
4
Hellppppp it’s a testttt!
Answers
Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8
Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4
Which means :-
6 : 8 :: c : 4
6/8 = c/4
= 6 × 4 = c × 8
= 24 = 3 × 8
c = 3
The ratio = 6 : 8 :: 3 : 4
Which means that C = 3 .
Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.
Answers
9514 1404 393
Answer:
smaller: -4larger: -1Step-by-step explanation:
Substituting the given variables into the word problem, we have two equations:
3x +3y = -15
6x -3y = -21
Adding these equations eliminates y:
9x = -36
x = -4 . . . . divide by 9
Using this in the first equation, we have ...
3(-4) +3y = -15
-4 +y = -5 . . . . . divide by 3
y = -1 . . . . . . . . . add 4
The smaller number is -4; the larger is -1.
What is the sum of (2x2 + 5x -3) and (-3x2 -10 + x2)
Answers
Answer:5x-13
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](2 {x}^{2} + 5x - 3) + ( - 3 {x}^{2} + {x}^{2} - 10) = \\ [/tex]
[tex]2 {x}^{2} - 2 {x}^{2} + 5x - 3 - 10 = [/tex]
[tex]5x - 13[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which phrase describes an unknown or changeable quantity?
Answers
Answer:
b
Step-by-step explanation:
you can make it into an equation while the others you can just solve them
PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.
Answers
Answer:
320 boys; 480 girls
Step-by-step explanation:
Here is the correct system of equations you can write for this equation:
1.5x=y
x+y=800
x+1.5x=800
2.5x=800
x=320
320+y=800
y=480
Solve for x:
20- 3x= -3(x-8)
Answers
Answer:
[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]
It does not have any answer.
Please help!! Will give brainliest if correct!
If triangle RST is an equilateral triangle, find x and y.
A. x = 70, y = 35
B. x = 80, y = 40
C. x = 120, y = 30
D. x = 120, y = 40
Answers
Answer:
C.
Step-by-step explanation:
all drop down menus are 0-9
use drop down menus to complete each equation so the statement about its solution is true.
Answers
Answer: 5-4+7x+1 = [7]x+[not 2]
5-4+7x+1 = [not 7]x+[any number]
5-4+7x+1 = [7]x+[2]
Helppppppp lol idk what I’m doing
Answers
Answer:
C
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"times" means multiplication
"a number" = n
"plus" means addition
"3" = 3
"is" means equal
"12" = 12
Step 2: Set up equation (combine)
5n + 3 = 12
Answer:
C
Step-by-step explanation:
a number represents n
is represents =
times represents multiplication
plus represents addition
5 times n plus 3 is 12
so this means
5n+3=12
Dominique has $13.75 in her piggy bank. All of the money are quarters. How many quarters are in the piggy bank?
Answers
Answer: I think its 0.55
Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75
The number of quarters in the piggy bag will be 55.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.
Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.
The number of the quarters will be calculated as:-
1 dollar ⇒ 4 quarters
13.75 dollars ⇒ 13.75 x 4 quarters
13.75 dollars ⇒ 55 Quarters
Therefore, the number of quarters in the piggy bag will be 55.
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help please i need helpp
Answers
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
Answers
4= ones
9= tenths
0= hundredths
2= thousandths
Please help me!!! ASAP!
Answers
Option C
Olivia paid $ 15683.28 after 8 years
Please help! I will give brainliest
Answers
Answer:
3
Step-by-step explanation:
as x is bigger than 0in which x is maximum and 0 is minumum
PLEASE HURRY AND HELP ME!!!!
The number, u, of tickets sold for an upcoming concert is four times the number, w, of tickets sold for the last concert.
Which equation best represents this situation
A U= w + 4
B U=W + 4
C U= 4W
D U= 4U
Answers
Answer:
C
Step-by-step explanation:
just cuz I said buster
Because (4W) means (4 x W)
Solve each of the following equations for the missing variable.
2x – 14 = -9
x = 10
x = 2.5
x = -2.5
x = -10
Answers
Answer: x = 2.5
Step-by-step explanation: Add 14 to both sides. After that take the number left on the right side (5) and divide it by 2. That leaves you with x = 2.5
you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.
Answers
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
what are the slopes of the two lines?
Answers
Step-by-step explanation:
The slopes of two lines are equal
Jackson spent $3,472 on a new TV. If he paid it off in 16 equal payments, how much was each payment?
A $217
B $237
C $207
D $227
Answers
Answer:
A. 217
Step-by-step explanation:
3,472/16 = 217
On two examinations, you have grades of 87 and 86. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of Ameaning a final average of at least 90 a. What must you get on the final to in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. your final average is less than , you lose your B in the courseDescribe the grades on the final that will cause this to happen
Answers
Step-by-step explanation:
We have
87+86+x
T is the total scores
n is number of tests done = 3
T/n is greater than or equal to 90
To get minimum test
T/n = 90
T = 90*n
= 90n
We solve for x
Remember n = 3
90x3 = 270
270 = 87+86+x
270 = 173+x
X = 270-173
X = 97
1.
X = 97
2.
You didn't add a value in your part b question. I used 80 though.
T/n < 80
T<80n
80x3= 240
T<240
87+86+x<240
X<240-173
X<67
X has to be less than 67 so we conclude that if x <=67 b grade will be lost.
can someone tell me what my GPA is.
Answers
Answer:
probably 5.00
Step-by-step explanation:
Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!
Answers
Step-by-step explanation:
Your work is correct. First, you graphed the region. The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).
The value of C at this point is C = 14.
What is pls help meeee6x+4
Answers
Answer:
2(3+2)
Step-by-step explanation:
7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.
21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23
Answers
Answer:
Oh boy this is a lot of work
Step-by-step explanation:
So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.
Make a number line. Label it from the least number which is 21 to the greatest number which is 30.Make a box from the 1st quartile which is from 33.5 to 39.5.Split the box on number 24.Make the whiskers which mean make a straight line from the left of the box to the least number which is 21 and make another straight line from the right of the box to the greatest number which is 30.That's all the step to make a box-and-whisker plot!Hope this helped.
What’s the slope of (-8,2) (1,9)
Answers
Step-by-step explanation:
equation of the line passing through two points
x-x1/x2-x1=y-y1/y2-y1
x-(-8)/1-(-8)=y-2/9-2
x+8/9=y-2/7
7x+56=9y-18
9y=7x+56+18
y=7/9x+74/9
y=mx+b m is the slope
so m=7/9
there is a short way showing slope shown in the picture