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3y-18x+9=0 , 3y=18x-9 , y=6x-3 , Both lines have the same value for m which means they both have the same gradient and are therefore parallel.

Bank A: £250*(1.013^4) = £263.25570.... , Bank B: £2501.035(1.007^3) = £264.2218.... , 264>263 therefore Bank B provides more interest than Bank A

At the x-intercepts of the graph, the line crosses the x-axis. This means that the y-value at these points equals 0. We must therefore make x^2+2x equal to 0 and simplify the equation. x^2+2x = 0 is the s...

A production possibility frontier, or PPF, is a line showing the maximum level of output in an economy of one good or group of goods in terms of another. At any point on this line, the economy is operatin...

y=e^(x)*sin(x)   

Use the product rule:   y'=uv'+vu'    y=u*v          

Differentiate: u=e^(x)   u'=e^(x)    v=sin(x)  v'=cos(x)

Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x...