We are provided , Tomas learned <em><u>that a³ + b³ = (a + b ) ( a² - ab + b² )</u></em> , and his teacher writes four products on the board and we have to tell that which product suits the best if <em><u>a = 2x</u></em> and <em><u>b =</u></em><em><u> </u></em><em><u>y</u></em>
Now , putting a = 2x , b = y in the given formula we have :
![{:\implies \quad \bf \therefore \quad \underline{\underline{(2x)^{3}+(y)^{3}=(2x+y)(4x^{2}-2xy+y^{2})}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Cbf%20%5Ctherefore%20%5Cquad%20%5Cunderline%7B%5Cunderline%7B%282x%29%5E%7B3%7D%2B%28y%29%5E%7B3%7D%3D%282x%2By%29%284x%5E%7B2%7D-2xy%2By%5E%7B2%7D%29%7D%7D%7D)
Hence , The product <em>(2x+y) (4x²-</em><em>2</em><em>xy+y²)</em> would result in the sum of cubes of 2x & y :D
For us to get the solutions of the given function, we let f(x) be equal to zero and solve for the values of x.
f(x) = 12x² - 13x + 3 = 0
To get the two values of roots, a and b, we use the concepts presented below.
a + b = -B/A
ab = C/A
Substituting the known values,
a + b = -(-13/12) = 13/12
ab = 3/12
The values of a and b from the equation are 3/4 and 1/3, respectively.
The solution set then becomes {3/4, 1/3}.
(a) Company D has the least variability because it has the smallest range.
(b) Company A has the highest salaries, on average, because it has the largest mean salary.
The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
<h3>What is Cylinder?</h3>
A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.
Here, Given area of cylinder = 25π cm²
Height of cylinder = 11 cm.
Now, Area of Cylinder = 2πrh
25π = 2πr X 11
25 = 22r
r = 25 / 22
r = 1.14 cm
Then, diameter = 2r = 2 X 1.14 = 2.28 cm
Now area of wrapper = total surface area = 2πr(r + h)
= 2π X 2.28 (2.28 + 11)
= 4.56π X 13.28
= 60.56π cm²
Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
Learn more about Cylinder from:
brainly.com/question/3216899
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