a) Factorise: 2x^2-72, and hence b) find the y-intercept of the line with the equation: y=(2x^2-72)/(4x-24)
a) Take out the common factor, giving: 2(x2-36), idenitfy the difference of two squares and factoise accordingly, giving: 2(x-6)(x+6)
b) you have the facotirse version of the top of the fraction from part a), factorise the bottom, giving: 4(x-6), then cancel and simplify, giving: y=1/2x+3
Then let x=0 to find the y-intercept to be when y=3
IS
Related Maths Scottish Highers answers
All answers ▸Find the x-coordinates of the stationary points on the graph with equation f(x)= x^3 + 3x^2 - 24x
Find the stationery points of x^3 + 3x^2 - 24x + 7 and determine whether the slope is increasing or decreasing at x=3.
Given that dy/dx = 6x*2 - 3x + 4 And y =14 when x=2. Express y in terms of x
Evaluate log_6(12)+(1/3)log_6(27)