exam Maths Puzzle Numerical Ability

Can someone please just lay out the step by steps to determine and solve Inverse variations and direct variations?

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exam Other Question

multiply, multiple choice:

-3a^2b 14a^3b^2
------ * ---------
35a^5 -9b^4

Answers:
a)9/6

B)2b/15

C)9/15

D)2/15b

I am very confused on this pro P(x)-12x+18x+9

What is the corresponding maximum profit?