Factor out completly: 6x^2y − 3xy − 24xy^2 + 12y^2
Answers
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6x^2y − 3xy − 24xy^2 + 12y^2
Apply exponent rule:
6x^2y-3xy-24xyy+12yy
Rewrite 12 as 4*3
Rewrite -24 as 8*3
Rewrite 6 as 2*3
2*3x^2y-3xy+8*3xyy+4*3yy
Factor out common term 3y:
3y(2x^2-x-8xy+4y)
Factor 2x^2-x-8xy+4y:
3y(2x-1)(x-4y)
Your Answer Is 3y(2x-1)(x-4y)
plz mark me as brainliest if this helped :)
The factor of 6x²y − 3xy − 24xy² + 12y² is 3y(2x - 1)(x - 4y)
Given:
6x²y − 3xy − 24xy² + 12y²
find the highest common factor of all the coefficient of each term
6 = 1, 2, 3, 6
6 = 1, 2, 3, 63 = 1, 3
6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 24
6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 2412 = 1, 2, 3, 4, 6, 8, 12
The highest common factor of all the coefficient of each term is 3
So,
6x²y − 3xy − 24xy² + 12y²
= 3y(2x² - x - 8xy + 4y)
(2x² - x - 8xy + 4y) can also be factorised further(2x² - x - 8xy + 4y) = (2x - 1)(x - 4y)
Therefore,
6x²y − 3xy − 24xy² + 12y = 3y(2x - 1)(x - 4y)
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Related Questions
Simplify -15- |-7.5|
Answers
Answer:
-22.5
Step-by-step explanation:
-15- |-7.5|
after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.
-15-7.5
=-22.5
The simplified expression -15 - |-7.5| is equal to -22.5.
To simplify the expression -15 - |-7.5|, we'll follow these steps:
Evaluate the absolute value: |-7.5|.
The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.
Substitute the absolute value into the expression:
-15 - 7.5.
Perform the subtraction:
-15 - 7.5 = -22.5.
Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.
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Don't guess!
I will mark brainliest if its correct!
Don't answer if you don't know!
Also no links!
And show your work plz!
Answers
This is hard for me ;(
Answers
Answer: The Blue one lol
Step-by-step explanation:
blue because of soc method, which is shape outliers center ( median mode and middle)
Suppose a plant grew 4 1/2 inches one week and 2 3/8 inches the next week. How many inches did it grow in both weeks? URGENT
Answers
Answer:
6 7/8
Step-by-step explanation:
bacially its 4 1/2 + 2 3/8
sooo it becomes 55/8
so if you simplify that it becomes 6 7/8
hope this helps :)
what is 3÷11=
A. 11/3
B. 3/11
C. 3/8
D. 8/3
Answers
Answer:
B. 3/11
Step-by-step explanation:
the division symbol: ÷ essentially is the same as /
if you replace ÷ with / its the same thing.
Answer:
my answer is B. 3/11
Step-by-step explanation:
which is =27.27%
pls if correct please mark me as Brainliest Answer please
What is 1+1. I’m really wondering of what your thoughts will be on this one.
Answers
Answer: Depending on the situation, 2 or 11
Step-by-step explanation:
1 + 1 = 2
1+1 = 11
Answer:
Step-by-step explanation: So you take 1 and add it the other 1 and it equals 2
Sara earns $14.75 per hour. She has also earned $12 in tips each of the last four days. If Sara worked 6 1/2( fraction) hour shifts each of those four days, how much did she earn in total, in dollars?
Answers
Answer:
395.5
Step-by-step explanation:
You have to multiply 14.75 x 6 1/2= 383.5. Then you have to add the 12 dollar tip, leaving you with 395.5
I hope I helped youuuu
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Rosie buys her favorite hot chocolate from a hot chocolate shop. She pays $5.00 and gets a 20 oz. cup. What is the unit rate price per ounce for her hot chocolate?(1 point)
Answers
Answer:
4oz = 1$
Explain your answer:
Which function describes this graph?
Answers
Answer:
B. y = x^2 + 8x + 12
Step-by-step explanation:
Counting the line on the graph, we can see each line is +2
Place: -6 & -2
Which of the following shows 4.819 correctly rounded to the tenths place?
5
4.82
4.9
4.8
Answers
Answer:
Well tenths is the first to the right of the decimal so 4.8
Step-by-step explanation:
Good luck!
1/4 DIVIDED BY 1/2 = ?
CHECK BY MULTIPLYING
Answers
Answer:
1/2
Step-by-step explanation:
1/4÷1/2
1/4*2/1
2/4
1/2
Points to remember:if u change dividion sign into multiplication sign do it's reciprocal.
please help
The total cost of the trip can be found by adding these components:
Entrance fee per student: $5(29)
Lunch costs: $4(29 + 6)
Bus fees: $25 + 8($2 + $3)
Total cost:
5(29) + 4(35) + 25 + 8(5)
Which of these are equivalent expressions of the total cost that use the properties of operations to simplify the math?
5(15 + 14) + 4(31 + 4) + 25 + 40
5(20 + 9) + 4(30 +5) + 25 + 40
5(17 + 12) + 4(33 + 2) + 25 + 40
5(19 + 10) + 4(34 + 1) + 25 + 40
Answers
Help on this asap!
Easy points
Answers
X=5
C= 23
Y=-9
Q=-40
W=-15
Z=-31
B=19
1: -11 + 6 = -5
2: 5 - 8 = -3
3: 23 - 2 = 21
4: -9 + 9 = 0
5: -30 + 10 = -30
6: -15 + 15 = 0
7: -31 + 12 = -19
8: 19 - 11 = 8
Solving equations by multiplication
1: 7
2: 48/4
3: 4
4: -225
5: -1
6: 0
7: -31
8: -98
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
Can you help me with this I’ll put it closer so you could see it
Answers
An atlas contains a map of Ohio (look at the picture for parts a,b,c, and d
Answers
Answer:
Step-by-step explanation:
a
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Part A: To calculate the measures of center, we can find the median and the mean for each school.
For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.
To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.
For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.
To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):
18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.
Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.
The measures of center for Seaside School are: median = 15, mean ≈ 15.9.
Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.
For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.
To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.
For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.
To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.
Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.
The measures of variability for Seaside School are: range = 15, IQR = 6.
Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.
Can 100 percent the considered 1 (in decimal like 1.00?)
Answers
Answer:
Step-by-step explanation:
Yes! 100% in decimal form is 1.00
3) Solve these problems that have more than one answer.
A) Mary read 3 times the amount of books as Carey over the summer. Carey read twice as
many books as Barry. If the students read 405 books combined, how many more books did
Mary read than Barry?
----
Answers
Answer:
225
Step-by-step explanation:
Mary = 3x (3 times Carey)
Carey = x
Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)
3x + x + x/2 = 405
4x + x/2 = 405
8x/2 + x/2 (treat these as fractions) = 405
9x/2 = 405
9x = 810 (cross multiply)
x = 90
Mary = 3(90) 270
Carey = 90
Barry = 90/2 45
Mary - Barry
270 - 45 = 225
Hope this helps! :)
what's the answer to this question
Answers
What is 8.04 × 101?
0.804
8.04
8.4
80.4
Answers
You move the decimal point two times to the right
8.04*101=812.04
Will you need to change the inequality sign in the problem 5x+2+5x<16? Explain your answer. 20 Points
Answers
Answer:
no
Step-by-step explanation:
10x+2 < 16
10x < 14
x <14/10
Do not change sign because you are not dividing by a negative number
The tax on a bike is $22.75. If the rate is 6.5%, how much was the original price of the bike?
Answers
Answer:
The tax on a bike is $22.75. If the rate is 6.5%, how much was the original price of the bike?
x = Price of bike
6.5% * x = 22.75
flip it
x = 22.75 / 6.5%
x = 350
Step-by-step explanation:
350x6.5%=22.75
Therefore, 22.75 is 6.5% of 350
(1/6) to the 2nd power
Answers
Answer:
0.0277777778
Step-by-step explanation:
\(\frac{1}{6} ^{2}\)
\(\frac{1}{6}\) × \(\frac{1}{6}\) = 0.0277777778
The answer is 0.02777777777
The sevens just keep going
Just put a line right beside the last 7 so show it's infinte
Coordinate Plane Dilation
Answers
Answer:
B. (36, -12)
Step-by-step explanation:
(Rewriting Rational Numbers LC)
Compare negative three and five tenths repeating and negative ten thirds using symbols <, >, or =.
negative three and five tenths repeating is less than negative ten thirds
negative three and five tenths repeating is greater than negative ten thirds
negative ten thirds is equal to negative three and five tenths repeating
negative ten thirds is less than negative three and five tenths repeating
Answers
Answer:
the third answer
Step-by-step explanation:
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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A store buys a 12 lb turkey for $15. They want to make a 35% profit on the sale/price of the turkey.
Write two expressions to represent this situation.
Use p as your letter/variable to represent the price of the turkey. Do not use spaces when typing in your expressions. please help i give brainliest! :]
Expression 1:
Expression 2:
Answers
Answer:
p:20
p:25
Step-by-step explanation:
1) 43.36 - 23.23
2) 75.12 + 20.13
3-12) Create 10 problems of your own and solve them. (5 addition and 5 subtraction
can you also pls create 10 promblems to? i dont get this one
Answers
find hcf of 300 and 3996 by division method
Answers
Answer:
12
Step-by-step explanation:
300÷12=25
3996÷12=333
Answer:the answer is 12
Step-by-step explanation: