On the same diagram, sketch the graphs of: y = |5x -2| and y = |2x| and hence solve the equation |5x - 2| = |2x|

y = |2x| is a "V" shaped graph with a gradients of 2 and -2 that inflects at the origin (0,0)y = |5x - 2| is a "V" shaped graph with gradients of 5 and -5 that inflects at the point (2/5,0) and a y-intercept of 2They intersect at x values of 2/3 and 2/7.

CP

Related Maths A Level answers

All answers ▸

Prove that cos(4x) = 8(cos^4(x))-8(cos^2(x)) + 1


The graph above shows the line y = 3*x^2. Find the area beneath the graph from y = 0 to y = 5.


What is the moment about the pivot C


Show that the cubic function f(x) = x^3 - 7x - 6 has a root x = -1 and hence factorise it fully.