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First rearrange to get 5x² - 10x - 4 = 0 , by subtracting 10x and 4 from both sides of the equation. Here, we can use the quadratic formula which is x = -b+- sqrt(b² -4ac) / 2a. In o...

First of all you must differentiate this function, as this will give you the gradient function necessary to find the gradient at the point (4,16). To differentiate it you use the formula dy/dx= a...

To answer this question you need to write down and solve an equation. Let's call t a tin of soup and p, a packet. We have: 5t=1750 and 4t+3p=1490. We want to know how much is 3t+2p. 1. Isolate t to find v...

Using the chain rule:If the parameter used is 't', differentiate each equation with respect to 't' so that you have answers for dy/dt, and dx/dt.From the chain rule it is known that: "dy/dx=dy/du * d...

first expand the brackets (3x-2)(x+1) to get 3x²-2x+3x-2, then we can simplify this to get 3x²+x-2.Then multiply this by x to get the final answer: 3x³+x²-2x.