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Unformatted text preview: 2.85 liters. 8. The rescue houses 15 snakes, 21 tarantulas, and 13 scorpions.
9. Using Cramer’s Rule, we ﬁnd we need 53 servings of Ippizuti Fish to satisfy the dietary
requirements. The number of servings of Misty Mushrooms required, however, is −1120.
Since it’s impossible to have a negative number of servings, there is no solution to the applied
problem, despite there being a solution to the mathematical problem. A cautionary tale
about using Cramer’s Rule: just because you are guaranteed a mathematical answer for each
variable doesn’t mean the solution will make sense in the ‘real’ world. 522 8.6 Systems of Equations and Matrices Partial Fraction Decomposition This section uses systems of linear equations to rewrite rational functions in a form more palatable
to Calculus students. In College Algebra, the function
f (x) = x2 − x − 6
x4 + x2 (1) is written in the best form possible to construct a sign diagram and to ﬁnd zeros and asymptotes,
but certain applications in Calculus require us to rewrite f (x) as
f (x) = x+7
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