EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
14th Edition
ISBN: 9780135961438
Author: Barnett
Publisher: PEARSON CO
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Chapter A.3, Problem 58E
In Problems 57–60, discuss the validity of each statement. If the statement is true explain why. If not, give a counterexample.
58. If m and n are positive integers and m ≠ n then um – vn is not factorable.
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Students have asked these similar questions
In Problems 11–48, perform the indicated operation, and write each expression in the standard form a + bi.
11. (2 — 3і) + (6 + 8i)
12. (4 + 5i) + (-8 + 2i)
13. (-3 + 2i) – (4 – 4i)
14. (3 – 4i) – (-3 – 4i)
15. (2 — 51) — (8+ 6і)
16. (-8 + 4i) – (2 – 2i)
17. 3(2 — 6і)
18. –4(2 + 8i)
19. 2i (2 — 3і)
20. Зi(-3 + 4i)
\ 21. (3 – 4i) (2 + i)
22. (5 + 3i) (2 - i)
10
13
23. (-6 + i) (-6 — і)
24. (-3 + i) (3 + i)
25.
3
26.
5 - 12i
4i
2 + i
27.
2 - i
28.
-2i
6 - i
29.
1 + i
2 + 3i
30.
1 - i
V3
31.
33. (1 + i)?
34. (1 – i)?
SECTION A.7 Complex Numbers; Quadratic Equations in the Complex Number System
35. Р3
36. i14
37. г15
38. 23
39. i6 – 5
41. 6i – 4i5
43. (1 + i)
48. i + + P + i
40. 4 + 3
42. 4i – 21 + 1
44. (3i)* + 1
45. i' (1 + ?)
46. 2i* (1 + ?)
47. * + i* + ² + 1
Questions 15: (A.SSE.A.2) *
The expression 4x² – 25 is equivalent to
-
O (4x- 5)(x+5)
(4x+5)(x - 5)
(2x + 5)(2x - 5)
(2x - 5)(2x - 5)
In Exercises 126–129, determine whether each statement is true
or false. If the statement is false, make the necessary change(s) to
produce a true statement.
126. Once a GCF is factored from 6y – 19y + 10y“, the
remaining trinomial factor is prime.
127. One factor of 8y² – 51y + 18 is 8y – 3.
128. We can immediately tell that 6x? – 11xy – 10y? is prime
because 11 is a prime number and the polynomial contains
two variables.
129. A factor of 12x2 – 19xy + 5y² is 4x – y.
Chapter A.3 Solutions
EP CALCULUS FOR BUSINESS..-MYLAB ACCESS
Ch. A.3 - Factor out all factors common to all terms....Ch. A.3 - Prob. 2MPCh. A.3 - Prob. 3MPCh. A.3 - Factor completely: (A)x2+6xy+9y2 (B)9x24y2 (C)8m31...Ch. A.3 - Factor completely. (A)18x38x (B)4m3n2m2n2+2mn3...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 3ECh. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 5E
Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 918, factor by grouping. 9.2x2x+4x2Ch. A.3 - In Problems 918, factor by grouping. 10.x23x+2x6Ch. A.3 - In Problems 918, factor by grouping. 11.3y23y+2y2Ch. A.3 - In Problems 918, factor by grouping. 12.2x2x+6x3Ch. A.3 - In Problems 918, factor by grouping. 13.2x2+8xx4Ch. A.3 - In Problems 918, factor by grouping. 14.6x2+9x2x3Ch. A.3 - In Problems 918, factor by grouping. 15.wywz+xyxzCh. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping. 18.ab+6+2a+3bCh. A.3 - Prob. 19ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 36ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 39ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 45ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 47ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 50ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 53ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 57ECh. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 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_forwardIn 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. 0.48arrow_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_forward
- Number 332 – 1 has exactly two divisors greater than 75 and less than 85. What is their product?arrow_forwardFor Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11arrow_forwardAnswer the blanksarrow_forward
- Show that if A × B = B × A then A = B I am not understanding on how to show this.arrow_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_forward
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