1. Use synthetic division and factor theorem to solve the below equation: −3?3 + 140 − 139? + 38?2 = 0
1. Use synthetic division and factor theorem to solve the below equation:
−3?3 + 140 − 139? + 38?2 = 0
2. Given the two functions below:
? = 10?−0.5? and ? = 7??5?
a) Using the same Microsoft Excel sheet or otherwise, draw or sketch the two functions for the interval −1 < ? < 3 .
b) From your diagram (part a) above), identify which of the two functions represents the demand curve and name the intercept(s) formed.
c) From your diagram (part a) above), identify which of the two functions
represents the supply curve and name the intercept(s) formed.
d) Economically, it is said that equilibrium is established when the demand curve
intercepts the supply curve. Hence or otherwise, determine the equilibrium price
and quantity.
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