Answer the question or solve the problem.If a ? b, is it always true that -9a ? -9b? Explain.

What will be an ideal response?


No, multiplying an inequality by a negative number reverses the inequality symbol.

Mathematics

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The function satisfies the hypotheses of Rolle’s Theorem on the interval . Find all values of c that satisfy the conclusion of the theorem.

a. 2, 4 b. 2 c. 3, 4 d. 3

Mathematics

Find all absorbing states for the transition matrix, and indicate whether or not the matrix is that of an absorbing Markov chain.

A. State 1 is absorbing; the matrix is that of an absorbing Markov chain. B. States 1 and 4 are absorbing; the matrix is that of an absorbing Markov chain. C. State 4 is absorbing; the matrix is not that of an absorbing Markov chain. D. States 1 and 4 are absorbing; the matrix is not that of an absorbing Markov chain.

Mathematics

Rationalize the denominator and simplify.

A. 41
B.
C. 5x 
D.

Mathematics

Solve the triangle. Find the angles ? and ? first.a = 8, b = 8, c = 7

A. ? = 65.1°, ? = 65.1°, ? = 49.8° B. ? = 64.1°, ? = 51.8°, ? = 64.1° C. ? = 64.1°, ? = 64.1°, ? = 51.8° D. ? = 51.8°, ? = 64.1°, ? = 64.1°

Mathematics