Solve by the substitution method.x - 2y = -178x - 3y = -58

A. {(-5, 6)}
B. {(5, 7)}
C. ?
D. {(-6, 7)}

Answer: A

Mathematics

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Find the Taylor polynomial of order 3 generated by f at a.f(x) = x2 + x + 1, a = 2

A. P3(x) = 7 + 5(x - 2) + 5(x - 2)2 + 7(x - 2)3 B. P3(x) = 1 + 3(x - 2) + 3(x - 2)2 + (x - 2)3 C. P3(x) = 3 + 5(x - 2) + 7(x - 2)2 D. P3(x) = 7 + 5(x - 2) + (x - 2)2

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Solve the problem.The radiator of a certain car requires a 40% antifreeze solution. The radiator now has 30 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?

A. 7.5 L B. 15 L C. 10.0 L D. 12 L

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