Answers>Maths>Scottish Highers>Article

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

Answered by Innis S. • Maths tutor

1929 Views

a) Factorise: 2x^2-72, and hence b) find the y-intercept of the line with the equation: y=(2x^2-72)/(4x-24)

Related Maths Scottish Highers answers

Calculate the rate of change of y(t) = 1/(4t), when t = 8

dy/dx = 6x^2 - 3x + 4 when y=14 x=2 Find y in terms of x

Differentiate (x-2)^2

If f(x) = 1/(6x^2), where x not equal to 0, find the rate of change when x=4.