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1. Collision frequency of reacting particles
   
2. Energy transferred during the collision

b) A catalysis, increased temperature, increased concentrationb

H₂SO₄ + 2NaOH --> 2H₂O + Na₂SO₄
2HCl + Mg(OH)₂ --> 2H₂O + MgCl₂

Divide the cost of the event by the cost of the tickets to find how many tickets are required to break even 200/12 = 16.67

17 tickets would need to be sold to make any profit. 

a) 6x+8=2x, 8=-4x, x=-2

b) q² + 7q -3q - 21, q² + 4q - 21