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If x + y = 7 and x²y + xy² = 84, what is the value of x³ + y³? A) 196 B) 217 C) 245 D) 301

The following passage is adapted from an essay on scientific modeling, Although models are often criticized for their simplifications, such reductions are not merely concessions to human limitation; rather, they are the very means by which complex phenomena become intelligible. A model that attempted to account for every variable would, paradoxically, obscure the relationships it sought to clarify. Consequently, the value of a model lies not in its completeness but in the discernment with which it omits. Which choice best states the main claim of the passage? A. Scientific models are flawed because they fail to represent complex phenomena in their entirety. B. The usefulness of a scientific model depends more on what it deliberately excludes than on how much information it contains. C. Critics of scientific modeling underestimate the cognitive limitations of human understanding. D. Models that attempt to incorporate too many variables tend to be less accurate than simpler models.

Answers: A. 0.83 B. 1.83 C. 18.36 D. 126.35

Should be an easy one today