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Notice that the square root of 8 can be simplified: 4 / (sqrt(4) * sqrt(2) + 4) = 4 / (2 * sqrt(2) + 4) Divide top and bottom of the fraction by two: 2 / (sqrt(2) + 2) Rationalise the denominator: (2 / (s...

So this function is the product of two functions of x, so we use the product rule to differentiate it. The rule states if y=uv, dy/dx=(du/dx)v+(dv/dx)u. In this function we assign u=(4x+1)³ and...

Divide the cost of the event by the cost of the tickets to find how many tickets are required to break even 200/12 = 16.67

17 tickets would need to be sold to make any profit. 

a) 6x+8=2x, 8=-4x, x=-2

b) q² + 7q -3q - 21, q² + 4q - 21

First you need to draw a set of axis and choose a sensible scale, This is detrmined by parts of the equation such as the x and y intercept. Then what we need to do is to make a table of values. We can do ...