Explanation Given information: The provided equation is y = ( x + 3 ) ( x − 7 ) ( 2 x − 1 ) . The provided Conjecture: Any number substituted in x will make y = 0. (a) Consider the provided equation y = ( x + 3 ) ( x − 7 ) ( 2 x − 1 ) …… (1) Substitute x = − 3 in equation (1). y = ( − 3 + 3 ) ( − 3 + 7 ) ( 2 × ( − 3 ) − 1 ) y = 0 (b) Consider the provided equation y =

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Chapter 2.6, Problem 5G

To determine

The counterexample of a provided conjecture for the equation

y=(x+3)(x−7)(2x−1).

Conjecture: Any number substituted in x will make y=0.

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Chapter 2.6, Problem 4G

Chapter 2.6, Problem 6G

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The counterexample of a provided conjecture for the equation y = ( x + 3 ) ( x − 7 ) ( 2 x − 1 ) . Conjecture: Any number substituted in x will make y = 0.

Solution Summary: The author explains that any number substituted in x will make y=0.

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The counterexample of a provided conjecture for the equation

y=(x+3)(x−7)(2x−1).

Conjecture: Any number substituted in x will make y=0.

Want to see the full answer?

Chapter 2 Solutions

The counterexample of a provided conjecture for the equation y = ( x + 3 ) ( x − 7 ) ( 2 x − 1 ) . Conjecture: Any number substituted in x will make y = 0.

Solution Summary: The author explains that any number substituted in x will make y=0.

Concept explainers

Videos

The counterexample of a provided conjecture for the equation y=(x+3)(x−7)(2x−1). Conjecture: Any number substituted in x will make y=0.

Want to see the full answer?

Chapter 2 Solutions

The counterexample of a provided conjecture for the equation

y=(x+3)(x−7)(2x−1).

Conjecture: Any number substituted in x will make y=0.