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Formula for a straight line y-y₁=m(x-x₁), where m is the gradient substituting in the values given to find the gradient we get 4-1=m(3+2), therefore m= 3/5the midpoint of the two poi...

When a function is increasing, it’s derivative is positive. So first let us differentiate f(x). To differentiate xⁿ we multiply by n and then reduce the power by 1. So f’(x)=8-2*2x=8-4x. We wan...

The probability of passing at either the first or second time round is P(passing first time) + P(taking the test for a second time then passing)
= 0.7 + (0.85 x 0.3)= 0.7 + 0.255= 0....

Use the crab claw method to expand the bracket. Draw two lines above the equation from the 2X, one to the 3X and one to the -1. Draw another two lines below the equation from the +3, one to the 3X and one...

Factorise into (x-1)(x-2) = 0 to find that x = 1 or x = 2