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For any equation in the form ax^2+bx+c and a=1, the first step is to find a set of numbers. In this case, they must add up to 8 (b) and multiply to 15 (c). 

With trial and error, it can be found th...

What does this inequality sign mean? That A "is greater than" B.

We can treat inequalities as if they are = signs as long as we don't multiply or divide by negative numbers. What would ha...

To calculate the length of the unknown side you must know the lenght of two of the other sides of the right angled triangle. if we know this we can use pythagoros thereom. The equation for this is a^2+b^2...

f'(x) is the first derivative of f(x) therefore f'(x) = 2x - 3

To find f''(x) simply take the derivative of f'(x), therefore f''(x) = 2

3x + 2y = 4 (equation 1) 4x + 5y = 17 (equation 2) Multiply equation 1 by 2.5, giving 7.5x + 5y = 10 (equation 1) 4x + 5y = 17 (equation 2) Subtract equation 2 from equation 1, giving 3.5x = -7 Therefore,...