Answer:
(x^2 - 4y)( x^4 + 4x^2y + 16y^2)
Step-by-step explanation:
x^6−64y^3
- using the identity a^3 - b^3 = (a - b)(a^2 + ab + b^2) with a = x^2 and b = 4y we have:-
(x^2 - 4y)( x^4 + 4x^2y + 16y^2)
Factored form of x6−64y3 is (x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)
What is factorisation?
The process of factorisation involves dividing mathematical algebraic formulas into the sum of their factors. When the factors are multiplied once more, the original phrase is obtained.#x^6-64y^3#
#=(x^2)^3-(4y)^3#
#=(x^2-4y))(x^4+4x^2y+16y^2)#
#=(x^2-4y)[(x^2)^2+(4y)^2+4x^2y)]#
#=(x^2-4y)[(x^2+4y)^2-2*x^2*4y+4x^2y)]#
#=(x^2-4y)[(x^2+4y)^2-8x^2y+4x^2y)]#
#=(x^2-4y)[(x^2+4y)^2-(2xsqrt(y))^2]#
#=(x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)#
The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.Finding the roots of a quadratic equation includes factorization of quadratic equations. In order to factor a quadratic equation, the given quadratic expression must be transformed into the product of two linear factors.To learn more about factorisation refer to:
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the sum of three consecutive even integers is 258. write an equation ad solve to find the integers
The consecutive integers are 85,86,87
Explanation:
n
:
the first number
n
+
1
:
the second number
n
+
2
:
the third number
n
+
(
n
+
1
)
+
(
n
+
2
)
=
258
3
n
+
3
=
258
3
n
=
258
−
3
3
n
=
255
n
=
255
3
n
=
85
n
+
1
=
85
+
1
=
86
n
+
2
=
85
+
2
=
87
Number d I need help with
Answer:
15 5/9 °C
Step-by-step explanation:
Put 60 where F is in the equation and do the arithmetic.
... C = (5/9)(60 -32) = (5/9)(28) = 140/9
... C = (135 +5)/9 = 15 5/9
Use the equation y = 4x to answer the questions.
(a) Graph y = 4x. (b)
What is the slope of y = 4x and what does this mean?
What is 20% as a decimal
Answer is 0.2
To fnid the decimal, dovide the percentage by 100. 20/100 is 0.2.
I hope youre still around to read this
The correct answer is: " 0.2 " .
_____________________________________
20 % = 20/ 100 = 2/10 = 0.2 .
____________________________________
Select true or false to tell whether the following conjunctions are true or false. Use the truth table if needed. A square root of 16 is 4 and the only square root of 9 is -3. True False
the 1st one is true but the 2nd one is not true
Jakes batting average for softball season is 0.368 what is Jake’s batting average written in expanded form
Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?
Answer:
0.85(x - 350)
Step-by-step explanation:
Here "x" represents the pay before tax.
Take exempted amount = 350.
The taxable amount = x - 350.
The tax rate = 15% = 15/100 = 0.15
Take home pay after the tax deduction = Taxable amount - tax
= (x - 350) - 0.15(x - 350)
Now we have to simplify this.
= (x - 350)(1 - 0.15)
= (x - 350)(0.85)
The employee’s take-home pay after these deductions= $0.85(x - 350).
Thank you.
Answer:
The answer is option C
Step-by-step explanation:
a swimming center builds a new pool that has the dimensions 3a^6 by a^2 by b4 . what is the volume of the pool
Answer:
Volume = length * width * depth
= 3a^6 * a^2 * b^4
= 3a^(6+2)b^4
= 3a^8b^4 cubic units Answer.
Step-by-step explanation:
The exponents 6 and 2 are added when the terms are multiplied
Swimming pool is generally build as a cuboid.
Volume of cuboid refers to the measurement of the space in the cuboid. It is the product of length, breadth and height of the cuboid.
Therefore the formula to calculate volume of cuboid will be:
[tex]\rm Volume\:of\:cuboid = \rm length\times breadth \times height[/tex]
The volume of the pool will be [tex]\rm 3a^8 b^4[/tex].
To reach the above answer, following calculations are required:
Given:
Dimensions of the pool:
[tex]\begin{aligned} \rm Length &= 3a^6\\\rm Breadth &= a^2\\\rm Height &= b^4\end[/tex]
Therefore, volume of pool will be as follows:
[tex]\begin{aligned} \rm Volume\:of\:cuboid &= \rm length\times breadth \times height\\&= 3a^6 \times a^2 \times b^4 \\&= 3a^{6+2}b^4\\&= 3a^8b^4 \end[/tex]
Volume of pool = [tex]\rm 3a^8b^4[/tex]
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Please need help on this one
The answer would be
A: (-2,5)
Hope this helped
1 1/3x2/3= what is the answer ? How do I do this?
1 1/3 is simplified to 4/3
multiply 4/3 * 2/3 =8/9
1 1/3 x 2/3 = 4/3 x 2/3 = 8/9 = 1 1/9
When you are multiplying fractions, you would multiply them like you would regular numbers. first, multiply the the numeraters together, then the denominaters together.
Example: 3/8 x 5/7 = 15/56
When you are multiplying whole fractions, you need to make them improper first before you multipy. Then you can multipy like normal.
Example: 2 3/4 x 6 2/4 = 11/4 x 26/4 = 286/16 (which can be simplified to 71 1/2
Hope this helps you!
What is the Recipical of 8/19?
The question states that we are looking for the reciprocal of 8/19.
Recall what a reciprocal is. A reciprocal, when looking at a number, is what is multiplied with it for it to equal 0. It is commonly regarded as just the fraction flipped. (For example, the reciprocal of 1/2 would be 2, or 2/1. 2 * 1/2 = 1)
But why does flipping a fraction work?This goes back to the simplifying, when multiplying two fractions together.
If you were to multiply two fractions, say [tex]\frac{5}{4}[/tex] and [tex] \frac{4}{5}[/tex], you could look at the numerator of one and the denominator of another, and cancel them out. In this case, the numerator of one is 5, and the other is also 5. Cancelling those out makes both one. If you cancel out 4 and 4 too, you get 1/1 * 1/1, or just 1.
We could go on asking why these methods work forever. Why does cancelling out a numerator and a denominator of separate fractions work? (A simple explanation is when the separate fractions are multiplied together, you could divide both sides by the factor which was originally used to cancel out with, which is what was stated above but simpler.)
Now, we can figure out the answer.Since we know the reciprocal is just the flipped form of the fraction, we can simply flip 8/19 to get our answer.
8/19 flipped is 19/8, which is our answer.
Hope this helped!842.72+412.38+1/8+1/2=
the answer will be 1255.725
For this case, we have the following expression:
[tex]x = 842.72+412.38+\frac{1}{8} +\frac{1}{2}[/tex]
We want to find the value of x
Simplifying we have to:
[tex]\frac{1}{8} = 0.125\\\\\frac{1}{2} = 0.5\\[/tex]
Therefore:
[tex]x = 842.72 + 412.38 + 0.125 + 0.5\\\\x = 1255.725\\[/tex]
Answer:
The value of the variable x is given by:
[tex]x = 1255.725[/tex]
how many different ways can 4 tickets be selected from 50 tickets if each ticket wins a different prize
Jadyn prepares a bag of candy before a road trip. The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids. Of the candy, 1/2 are Skittles, 1/4 of the remaining pieces are M&Ms and 3/4 of the rest are Life Savers. The remaining pieces are Sour Patch Kids. What percent of the total pieces of candy are Sour Patch Kids?
Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.
Let the total number of candies in the bag be = x
Then, Skittles are [tex]\frac{1x}{2}[/tex]
Candies left = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]
M&Ms are = [tex]\frac{1x}{8}[/tex]
Now remaining candies are= [tex]\frac{3x}{8}[/tex]
Now Life savers are = [tex]\frac{9x}{32}[/tex]
Now adding all these 3 candies
[tex]\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}[/tex]
=[tex]\frac{29x}{32}[/tex]
Now the remaining candies sour patch will be =
[tex]x-\frac{29x}{32} =\frac{3x}{32}[/tex]
Hence, sour patch kids are [tex]\frac{3}{32}[/tex]
if EF=4, FG=6x and EG=8x what is EG?
∵EG=8X FG= 6X
∴EF= EG- FG=2X=4
∴X=2
so,EG=8X=16
Multiply.
14⋅25
Express your answer in simplest form.
29
320
13
110
Final answer:
To multiply 14 by 25, you multiply each digit of 25 by 14 individually and then sum the results, yielding a product of 350.
Explanation:
The student has asked to multiply 14 by 25 and express the answer in simplest form. Multiplication is a basic arithmetic operation, and it is a straightforward process. To multiply 14 by 25, you can use the following steps:
Multiply the ones digit of the second number by the first number: 5 x 14 = 70.
Multiply the tens digit of the second number by the first number: 2 x 14 = 28. Remember that since this 2 represents 20 in the number 25, the result (28) will actually represent 280 when you include it in the final answer.
Add the results from steps 1 and 2: 70 + 280 = 350.
Thus, the product of 14 and 25 is 350.
write the fact family. for 6, 4, 24
6 times 4 is 24
4 times 6 is 24
24 divided by 6 is 4
24 divided by 4 is 6
shen baked b cookies. his family ate 11 of them. using b, write an expression for the number of cookies that remained.
Step-by-step explanation:
So, lets write out the equation you have right now.
B - 11 = ?
You can have B be whatever you want. It must be higher than 11 (unless your teacher or whoever your guardian is allows negative numbers). In this case, I will use 15.
B = 15
15 - 11 = ?
Solve the equation and you get 4. Simple!
Help Question 1: Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots. A dot plot is shown. The title of the plot is Brand A. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There are 2 dots at 52, 1 dot at 53, 2 dots at 55, 1 dot at 56, 2 dots at 57, and 2 dots at 62. A dot plot is shown. The title of the plot is Brand B. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There is 1 dot at 44, 1 dot at 46, 2 dots at 52, 1 dot at 55, 1 dot at 62, 1 dot at 65, 2 dots at 67 and 1 dot at 69 Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?
The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A is valid statement.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Lets compare the dot plots of the two brands.
In Brand A,
The number of candy pieces per bag ranges from 52 to 62, and the dots are relatively evenly spread out across this range.
In Brand B,
the number of candy pieces per bag ranges from 44 to 69, and the dots are more spread out, with a larger range of values.
As we observe the majority of the dots are clustered around 52, 55, 62, 65, and 67, indicating that these values are more common in Brand B than in Brand A.
Brand B has more dots in total than Brand A, suggesting that Brand B generally has more candy pieces per bag than Brand A..
Hence, the number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A is valid statement.
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Complete question
Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots.
A dot plot is shown. The title of the plot is Brand A. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There are 2 dots at 52, 1 dot at 53, 2 dots at 55, 1 dot at 56, 2 dots at 57, and 2 dots at 62. A dot plot is shown. The title of the plot is Brand B. The line is numbered with tick marks at 40, 45, 50, 55, 60, 65, and 70 and is labeled Number of Candy Pieces. There is 1 dot at 44, 1 dot at 46, 2 dots at 52, 1 dot at 55, 1 dot at 62, 1 dot at 65, 2 dots at 67 and 1 dot at 69
Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?
A. The number of candies in the bags from Brand B is greater and more consistent than the number of candies in the bags from Brand A.
B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
C. The number of candies in the bags from Brand B is fewer and more consistent than the number of candies in the bags from Brand A.
D. The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.
The Convention Society Brought and planted 45 cherry trees.Each Tree Cost $367.Which was the total cost of planting the trees?
unit price for plant 367
no of Cherry plants 45
total amount $16515
So,
45 * 367 = 16515
Ans: $16515
what is the y intercept of -3x-5y=60
Answer: y-intercept = -12
Step-by-step explanation:
[tex]-3x = 60+5y[/tex] Add [tex]5y[/tex] on both side
[tex]-3x-60 = 5y[/tex] Subtract [tex]60[/tex] on both sides
[tex]-\frac{3}{5}x-12=y[/tex] Divide 5 on both sides
The y-intercept of the line -3x - 5y = 60 is equal to -12.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m is the slope or rate of change.x and y are the points.b is the y-intercept or initial value.Based on the information provided about this line, a linear equation in standard form that models it is given by;
-3x - 5y = 60
By making y the subject of formula, we have the following:
5y = -3x - 60
y = -3x/5 - 12
By comparison, we have the following:
y-intercept, b = -12.
slope, m = -3/5.
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Marcus finds that (3x^2-2y^2+5x)+(4x^2+12y^2-7x)=7x^2-10y-2x. What error did Marcus make?
(3x²-2y²+5x)+(4x²+12y²-7x)
This is all about combining like terms.
(7x²+10y²-2x) is what I got.
(7x-10y-2x) is what Marcus got.
Marcus didn't add the squared symbol for 10y and he added a negative sign for 10y. He did -10y but it is +10y² because -2y²+12y²=10y². So, his problem is that Marcus didn't add right.
Hope this helps.
If it does, I would appreciate a brainliest rank.
<3
Answer:
He combined the terms –2y2 and 12y2 incorrectly.
Twelve less than the one fifth of a number is -7
-2 times g(4) when g(x) =-x squared+(4x)-11
Answer:
+22
Step-by-step explanation:
Given g(x) = -x^2 + 4x - 11, g(4) is -(4)^2 + 4(4) - 11, or just -11.
Then -2 times g(4) = -2(-11) = +22
which property is illustrated by the following statement? 50pts
2(-3/9)=(-3/9)2
Associative Property of Addition
Commutative Property of Multiplication*
Inverse Property of Multiplication
Commutative Property of Addition
* is the one i think it is. Am I Right?
When multiplying numbers, it doesn't matter which number is first or second.
The correct answer is: Commutative Property of Multiplication
Hi!
2(-3/9)=(-3/9)2
Answer - Communative Property of Multiplication
The reason thats the answer is because the fact that is dosent matter what number goes first or last, it will still be the same result.
A pineapple is 7 times as heavy as an orange. the pineapple also weighs 870 grams more than the orange. what is the total weight in grams for the pineapple and orange
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.
Drag the correct steps into order to solve the equation -3x – 6 = 18 for x.
The solution to the linear equation -3x - 6 = 18 is x = - 8
What is the solution of the equation?The solution of the linear equation is calculated as follows;
The given linear equation;
-3x - 6 = 18
Move the constant term to the other side of the equation.
-3x - 6 + 6 = 18 + 6
-3x = 24
Divide both sides of the equation by the coefficient of x (-3) to isolate x.
(-3x) / (-3) = 24 / (-3)
x = -8
Thus, the solution to the linear equation -3x - 6 = 18 is x = - 8
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what is the area of this Square
5*5= 25 square kilometers
Ella has 50 stacks of ten pennies in each stack describe how to find how many pennies has in all
50 times 10 = 500 pennies
7 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 63 hot dogs are sold?
90 is the answer i did the math