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First lets put all terms on the LHS;5^2x-5^x-5 = 0 (1);Now, to help us observe a pattern, put brackets on each term and separate power of x from its coefficients(5^x)^2...

Factorise the equation (the equation is quadratic in sin(x) )2 sin²(x) - sin(x) - 1 = 0(2sin(x) + 1)(sin(x) - 1) = 0Work out the solutions to the quadratic equation2sin(x) +1 = 0 or ...

The value of the car in 2019 would be £7488.39This is because you take the original value of the car, and multiply it by the multiplier (1.00-0.09)to the power of how many years have passed since the init...

Remember that we have two values here, the price of the washing machine BEFORE and the price AFTER the 20% VAT increase. The value AFTER the increase is 600. To get to the value before, you can't simply s...

a : c = 4 : 5 and b : c = 2 : 3 so getting a common value of 15 for B gives a : c = 12 : 15 and b : c = 10 : 15  we can now compare these ratios and get 12 : 10 : 15 this is not divisible by any common f...