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mrs_skeptik [129]
3 years ago
9

All algebraic formula with proof its urgent do for brainlist

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Here is a list of Algebraic formulas –

a2 – b2 = (a – b)(a + b)

(a+b)2 = a2 + 2ab + b2

a2 + b2 = (a – b)2 + 2ab

(a – b)2 = a2 – 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc

(a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc

(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)

(a – b)3 = a3 – 3a2b + 3ab2 – b3

a3 – b3 = (a – b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 – ab + b2)

(a + b)3 = a3 + 3a2b + 3ab2 + b3

(a – b)3 = a3 – 3a2b + 3ab2 – b3

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)

(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)

a4 – b4 = (a – b)(a + b)(a2 + b2)

a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

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What is the minimum value of the objective function C = 4x + 9y?
Elodia [21]

Answer:-24

explain how you know:

Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)

Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)

For maxima or minima, f ‘ (x) = 0

=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3

Differentiating (2), f ‘’ (x) = 72/x^3

When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.

When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.

Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)

8 0
3 years ago
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Look a the numbers below. 75,74,72,69,65,... describe the pattern.
Yuliya22 [10]
-1 then minus 2 minus 3 then so forth
6 0
3 years ago
Please asap!!!!! (photo below)
Bond [772]

Answer:

132 degrees

Step-by-step explanation:

these angles are Alternate interior angles so angle A is congruent to angle B.

5x-18 = 3x+42

-3x         -3x

2x-18 = 42

+18       +18

2x    =   60

÷2     ÷2

x=30

A=5(30) -18

  = 150-18

  = 132 degrees

HOPE THIS HELPS

6 0
3 years ago
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -3 2 -9 3 -15 4 -21
aleksley [76]

Answer:

The numbers:

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are not linear.

Step-by-step explanation:

If it was linear:

4, 3, 2, 1, -3, -9, -15, -21

8 0
3 years ago
Math Math Math Math help help help
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Answer: 5a: 5/8

Step-by-step explanation: sorry, thats the only one i can read `:)

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3 years ago
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