Select the inequality that produces the graph below: 

Given the function h(x) below, find the domain of the function and h(2):

Solve for a in the following equation using the quadratic formula:    

Graph the linear equation,

Suppose that a utility function u represents a preference relation on a set X. Consider the function that assigns to each x in X, f(x)=au(x)+b, where a and b are both constants. Suppose that the preference has at least a strict ranking (the agent is not indifference between at least one pair of alternatives). Then, f represents the preference if and only if,

Consider a preference relation on a finite set X={x1,x2,…,xn}. Suppose that it is complete and transitive. Then, the following function represents it: U(xi)= 3log|{j=1,…,n: xi at least as good as xj}|-2020, where |.| represents the cardinality of a set.

Luisa has preferences with the indifference map shown in the picture. Then,

Ana has preferences that are encoded by the Utility function U(x,y)=ax+y where a is a positive number. What is the value of a if Ana is indifferent between bundles A and B shown in the picture?

1) ________ is the assignment of value, or the amount a consumer must give to receive a product.

A box contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. What is the probability that the second ball is blue given that the first ball was red? Keep two digits.