Search over 10,000 free study notes

y = -3/2x + 7/2gradient = -3/2
gradient of perpendicular = 2/3
y = 2/3x + c
sub in given values of x and y to find c
y = 2/3x + 2
sub in a and b, so:
b = 2/3a + 2

to start, find value of money shared by managers and then staff:Managers: (40/100) x 2100 = 840 Staff: 2100 - 840 = 1260 Then find share for each employee:Staff: 1260/7 = 180Share if divided equally: 2100...

This is a quadratic equation. Its factorises to give: (x-2)(x+3)=0. Therefore there are two different solutions of this equation: x₁=2 and x₂=-3.

1 tonne is equal to 1,000kg, so we get 8.5 tonnes ≡8.5×1,000= 8,500kg

3x(x+2)-7=2 3x²+6x-7=2 3x²+6x-9=0 3(x²+2x-3)=0 [Divide by 3] (x²+2x-3)=0 (x+3)(x-1)=0 x= -3 x=1