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work out 3 1/2 - 2 1/3. Give answer as an improper fraction

change everything to sixths. 21/6 - 14/6 = 7/6

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Given: 𝑓(𝑥) = 𝑎𝑥^3 + 𝑏𝑥^2 − 3 and 𝑓"(−2) = 0. If it is further given that the point (−3; 6) lies on the graph of 𝑓. Show that 𝑎 = 1/3 and 𝑏 = 2.

In a stack of CDs, there are 3 types: Rock, Pop and Jazz. There are 2 Rock CDs, x Pop CDs, and (2x+5) Jazz CDs. A CD is chosen at random. If the probability it is Rock is 1/20, work out the probability it is Jazz.

A stationary ball starts rolling down a hill, and after 5s it reaches a speed of 12m/s. From here the ground levels off, and the ball continues at this speed for 3 more seconds. Plot this on a velocity-time diagram.

The turning point on a quadratic function

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