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In order to satisfy the condition, must have the 4th toss and 5th toss both being heads. Note that the 3rd toss must be tails as otherwise we would terminate the coin tosses prematurely. This leaves the firs...

We start with parametric equations of x=2t+3 and y=3t^2+3t+2. To find dy/dx, we need to work out either (dy/dt)/(dx/dt) or (dy/dt)*(dt/dx). This makes the dt's cancel each other out, allowing us to find dy/d...

So, for a standard liner function, Y=mx+c, where Y is the output, m is the gradient or slope of our line, x is the input value and c is our y-intercept, where our line crosses the Y-axis. So, we have two equ...

(x 2 +2x - 3) = 0 We need to find 2 numbers that multiply to make -3 and add to make 2. Once we have found them we can use them to find the solutions to the quadratic. Answer = (x+3)(x-1) = 0 therefore x = -...

If you are trying to work out what x is, then we need to end up with something that looks like: [ x = ... ] On one side we have just 'x' and on the other side we have no ' x 's. So x = 44 is already solved a...