The primary meaning of predicate is to affirm, assert or declare. Someone might say, for instance, "I predicate my decision on the belief that John has good intentions on the matter." In this example, the use of predicate signifies the decision on which the speaker bases an assertion.
Predicate also means to imply or derive, as in, "Her facial expression did predicate that she was feeling bored during the conversation." In this example, predicate refers to the implication of boredom based on the nonverbal expressions. Predicate is also a grammatical term. A predicate is connected to the subject in a simple sentence structure.