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First differentiate: dx/dt = 3,   dy/dt = 3t² - 10t + 7

Using the chain rule: dy/dx = dy/dt * dt/dx = (3t² - 10t + 7)/3 

At stationary points, the...

We know Amber worked 4 hours on a Saturday, so she earned 4*£10= £40 that day. The rest of the money, which is £180-£40=£140, she must have earned it during the week. Knowing she earns £7 per hour, this w...

5x-3x>11+2 2x>13 x>13/2 or x>6.5

6 and 4 are common factors of 24.

1/6 = 4/24, and 1/4=6/24.

4/24+6/24 =10/24 of the bag is blue and red counters. Therefore, 24/24-10/24=14/24 of the bag is white counters.

14/24 can ...

All the angles in a triangle add up to 180 degrees.

Therefore, 60 + (5y - 40) + (2y + 20) = 180.

This can be simplified to 7y +40 = 180.

And simplified again to 7y = 140, which then m...