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3x+6=(x+2)(x-4)

3x+6 = x²-2x-8

x²-5x-14=0

(x-7)(x+2)=0

x=7 so y=27

and x=-2 so y=0

The question has to do with probability, and the branch of mathematics which models such situations is called probability theory.

A jackpot is, of course, when we correctly predict all th...

To integrate the product of two functions - say f(x) = xsinx, the product of g(x) = x and h(x) = sin(x) - the we use integration by parts. 

Since integration is the inverse of differentia...

First starting from the right hand side.

 A /(2x + 1) + B /(x + 3) = A(x+3)+B(2x+1)/(x+3)(2x+1)

Therefore the numerator = (A+2B)x+(3A+B)

Equating this numorato...

This exercise is asking to prove the existance of the square root of 2. So let's consider the function f(x) = x^2. Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infin...