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The easiest way to solve these equations is by substitution. Rearrange the 6y=-x+64 equation into the form of x=64-6y. Replace x in the other equation with x=64-6y to produce y+5(64-6y)=30. Multiply out t...

Answer. The 1 in 2105 has a value of 100 (One hundred).2105 reads out to be 'Two thousand, one hundred and five'

To find the turning point of the equation, it should be recognised that we desire the point at which the gradient is 0. The gradient is given by dy/dx and hence we differentiate the equation with respect ...

As it states that it is a "linear" sequence. You can identify the pattern and recognise that the 4th and 5th terms will be, a+14b and a+18b respectively.As the 2nd term has the value 8. This mea...

y=2x(x²-1)⁵ --> y=uv, where u=2x; v=(x²-1)⁵ --> thus product rule required.u'=2v'=10x(x²-1)⁴Product rule: dy/dx = uv' + v'uTherefore...