Domanda del libro di testo
List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. {-9, -4/5, 0, 0.25, √3, 9.2, √100}
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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 36
Add or subtract terms whenever possible.
Guida verificata passo dopo passo1
Identify the like terms in the expression. Both terms have the radical \( \sqrt{13x} \), so they are like terms and can be combined.
Rewrite the expression to clearly show the coefficients and the radical: \( 4\sqrt{13x} - 6\sqrt{13x} \).
Combine the coefficients of the like terms by subtracting: \( 4 - 6 = -2 \).
Multiply the result by the common radical term: \( -2 \times \sqrt{13x} \).
Write the simplified expression as \( -2\sqrt{13x} \).
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3mConcetti chiave
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Like Terms
Like terms are terms that have the same variable parts raised to the same powers. In this problem, terms involving √13x are like terms because they share the same radical expression. Only like terms can be added or subtracted by combining their coefficients.
Video consigliato:
03:50
Adding & Subtracting Like Radicals
Simplifying Radicals
Simplifying radicals involves expressing the radical in its simplest form by factoring out perfect squares. Here, √13x is already simplified, so no further simplification is needed before combining terms. Recognizing simplified radicals helps in correctly identifying like terms.
Video consigliato:
5:48Adding & Subtracting Unlike Radicals by Simplifying
Combining Like Terms
Combining like terms means adding or subtracting their coefficients while keeping the variable or radical part unchanged. For example, 4√13x − 6√13x equals (4 − 6)√13x = −2√13x. This process simplifies expressions and is essential for solving algebraic problems efficiently.
Video consigliato:
5:22Combinations
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