Expand the brackets in the following expression and indicate what the graph would look like: y=(5x+1)(2x-3)
While this question is not in the style the examiners would ask, it demonstrates two important principles: how to expand brackets accurately and how to build intuition about the shape of graphs.
Answer: y = 10x^2 -15x +2x -3y = 10x^2 -13x -3
Graph would be a convex quadratic, crossing the y axis at y=-3 and crossing the x axis in two places, -1/5 and 3/2.
EE
Related Maths GCSE answers
All answers ▸Solve for x, y, and z: 5x - 2y = 19 , 3x + 3z = 21 , y + z = 2
There are n sweets in a bag, 6 of which are orange, the rest are yellow. Hannah takes a random sweet from the bag and eats it, and then does so again. The probability that Hannah eats two orange sweets is 1/3. Show that n^2-n-90=0.
A straight line L1 has equation y = 2x + 4. L2 is parallel to L1 and passes through the point (3,13). What is the equation of L2?
Factorise x^2-7x+12