Explanation Given: The expression is, 2 x − 3 { x + 2 [ x − ( x + 5 ) ] + 1 } . Definition: Order of operations “Multiplication and division precede addition and subtraction, and take the powers that precedes the multiplication and division”. Calculation: Remove the parentheses by using the order of operations. 2 x − 3 { x + 2 [ x − ( x + 5 ) ] + 1 } = 2 x − 3 { x + 2 [ x − x − 5 ] + 1 } [ Remove parentheses ( ) ] = 2 x − 3 { x + 2 [ − 5 ] + 1 } [ Simplify the terms ] = 2 x − 3 { x − 10 + 1

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ISBN: 9780134856667

Author: Stocker

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Chapter A.2, Problem 32E

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To perform: The indicated operation in the expression, 2x−3{x+2[x−(x+5)]+1} and simplify.

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Chapter A.2, Problem 31E

Chapter A.2, Problem 33E

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Topic: Group Theory | Abstract Algebra Question: Let G be a finite group of order 45. Prove that G has a normal subgroup of order 5 or order 9, and describe the number of Sylow subgroups for each. Instructions: • Use Sylow's Theorems (existence, conjugacy, and counting). • List divisors of 45 and compute possibilities for n for p = 3 and p = 5. Show that if n = 1, the subgroup is normal. Conclude about group structure using your analysis.

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Chapter A.2 Solutions

EBK CALCULUS FOR BUSINESS, ECONOMICS, L

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To perform: The indicated operation in the expression, 2 x − 3 { x + 2 [ x − ( x + 5 ) ] + 1 } and simplify.

Solution Summary: The author explains that the simplified form of the given expression is -x+27.

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To perform: The indicated operation in the expression, 2x−3{x+2[x−(x+5)]+1} and simplify.

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Chapter A.2 Solutions