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In each of Exercises 65–68, find all x-values for which the given expression is undefined.
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- In Exercises 102–103, perform the indicated operations. Assume that exponents represent whole numbers. 102. (x2n – 3x" + 5) + (4x2" – 3x" – 4) – (2x2 – 5x" – 3) 103. (y3n – 7y2n + 3) – (-3y3n – 2y2" – 1) + (6y3n – yn + 1) 104. From what polynomial must 4x? + 2x – 3 be subtracted to obtain 5x? – 5x + 8?arrow_forwardPlease simplify completely. In #1–4, list the necessary restrictions on the variable; if none, write “none”.arrow_forwardIn Exercises 101–103, perform the indicated operations. 1 1 1 101. x" – 1 x" + 1 x2" – 1 (1-X- -X ) (1 – (1 – 102. (1 - x + 1) x + 2 x + 3 103. (x – y)-1 + (x – y)-2arrow_forward
- Scientific Notation. In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation. 614arrow_forwardFor Exercises 73–104, verify that the equation is an identity.arrow_forwardSimplify the expressions in Exercises 65–68.arrow_forward
- All changes saved 11. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: Expand the expression –7i(2 – 4i) using the distributive property. Part B: Show all work for Part A. Part C: Explain why the expansion in Part A did not result in the need to combine like terms.arrow_forwardMotorcycle license plates in the state of California start with two digits(0–9), followed by one uppercase letter (A–Z), followed by four digits (0–9). Determine the number of motorcycle license plates possible if the first two digits must be odd, the last four digits cannot be 0, and repetition is not permitted.arrow_forwardFind the value in terms of b_narrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage