For Exercises 1–10, let
Determine whether each expression is defined. If it is, evaluate it.
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Chapter 4 Solutions
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- For Exercises 19–26, simplify each expression and write the result in standard form, a + bi. 8 + 3i 19. 4 + 5i 20. -4 - 6i 21. 9 - 15i 22. 14 6. -2 -3 -18 + V-48 23. - 20 + V-50 14 - V-98 25. - 10 + V-125 24. 26. 4 10 -7arrow_forwardScientific 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 27–30, simplify the powers of i. (See Example 2) 27. а. 20 b. 29 28. а. 32 b. 47 с. 50 29. а. 37 d. i 41 b. i3 c. 66 -37 30. а. i103 d. 27 b. i c. 82 -103 d. i 82 с. 52 d. i 52arrow_forward
- which part is A(1) and which is A(2)?arrow_forwardIn 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_forwardBy what must y – 5 be multiplied to obtain 5 - y?arrow_forward
- In Exercises 23–25, solve each equation. If the solution set is Ø or (-0, ), classify the equation as an inconsistent equation or an identity. 23. 3(2x – 4) = 9 – 3(x + 1) 2x 24. x - 4 x + 1 4 2 4 25. 3(x – 4) + x = 2(6 + 2x)arrow_forwardWhat can you conclude regarding the numbers y and z if x z?arrow_forwardEvaluate AT+B if possiblearrow_forward
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