Domanda del libro di testo
In Exercises 1–6, find all numbers that must be excluded from the domain of each rational expression. (x+5)/(x2−25)
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 1, Problema 1
In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 7+5x, for x = 10
Guida verificata passo dopo passo1
Step 1: Start with the given algebraic expression: 7 + 5x.
Step 2: Substitute the given value of x (x = 10) into the expression. This means replacing 'x' with '10' in the expression.
Step 3: Rewrite the expression after substitution: 7 + 5(10).
Step 4: Simplify the multiplication first, as per the order of operations (PEMDAS/BODMAS). Multiply 5 by 10.
Step 5: Add the result of the multiplication to 7 to complete the evaluation of the expression.
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Algebraic Expressions
An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It represents a value that can change depending on the values assigned to its variables. For example, in the expression 7 + 5x, '7' is a constant, '5' is a coefficient, and 'x' is a variable.
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Introduction to Algebraic Expressions
Substitution
Substitution is the process of replacing a variable in an expression with a specific value. This is a fundamental technique in algebra that allows us to evaluate expressions. In the given expression 7 + 5x, substituting x with 10 means replacing 'x' with '10' to compute the value of the expression.
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5:48Solving Systems of Equations - Substitution
Evaluating Expressions
Evaluating an expression involves performing the operations indicated in the expression after substituting the variables with their respective values. This process results in a numerical value. For instance, evaluating 7 + 5(10) requires calculating the multiplication first, followed by the addition, leading to the final result.
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03:11Evaluating Algebraic Expressions
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