Decide whether the statement is true or false. If it is false, tell why.If k is a prime number, then x2 = k will have two rational solutions.

A. True
B. False; the solutions will be irrational because a prime number cannot be a perfect square.
C. False; the equation will have no real number solutions.


Answer: B

Mathematics

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Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation.-5x + 3y = 83x - 6y = -30

A. (6, 2) B. (-2, -6) C. (2, 6) D. (-6, -2)

Mathematics

Identify the form of the argument and state whether the argument is valid or invalid.If I'm hungry, then I will eat.I'm not hungry.  Therefore, I will not eat.

A. Fallacy of the converse; invalid B. Law of detachment; valid C. Law of contraposition; valid D. Fallacy of the inverse; invalid

Mathematics

Solve and graph the solutions. > 2

A.

B.

C.

D.

Mathematics

Solve the triangle, if possible. Approximate values to the nearest tenth when appropriate.? = 41°10', a = 4.2, b = 3.2

A. ?1 = 59°58', ?1 = 78°50', c1 = 5.6 ?2 = 120°38', ?2 = 18°10', c2 = 1.6 B. ?1 = 78°58', ?1 = 59°50', c1 = 4.8 ?2 = 18°38', ?2 = 120°10', c2 = 15.7 C. ?1 = 59°46', ?1 = 79°4', c1 = 4.8 ?2 = 120°14', ?2 = 18°36', c2 = 1.6 D. No solution

Mathematics