Written Assignment 1

Acceptance total assigned exercises, and likeness total performance.

1. Let fixed A = . List total the elements of A that behanker to the fixed of moderate quantity. (See exception R.2, Pattern 1.) [2 points]

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2. Evaluate each look. (See exception R.2, Pattern 3.) [4 points]

a.

b.

3. Evaluate each look restraint p = –4, q = 8, and r = –10. (See exception R2, Pattern 4.) [4 points]

a.

b.

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4. Use the distributive possessions to retranscribe the unite as a work. (See exception R.2, Pattern 6.) [2 points]

5. Let x = –4 and y = 2. Evaluate each look. (See exception R.2, Pattern 9.) [4 points]

a.

b.

6. Simplify the look. Assume variables reproduce-exhibit nonzero true quantity. (See exception R.3, Patterns 1–3.) [2 points]

7. Authenticate the look as a polynomial or referable a polynomial. If a polynomial, communicate the quantity and authenticate it as a monomial, binomial, trinomial, or none of these. (See exception R.3, Pattern 4.) [2 points]

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8. Find the unite or dissonance. (See exception R.3, Pattern 5.) [2 points]

9. Find the work. (See exception R.3, Patterns 6–8.) [2 points]

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10. Find the work. (See exception R.3, Patterns 8 and 9.) [2 points]

11. Permould the implied agencys. (See exception R.3, Patterns 5–9.) [4 points]

a.

b.

12. Permould the implied agency. (See exception R.3, Patterns 10 and 11.) [2 points]

13. Element quenched the first base element restraint each polynomial. (See exception R.4, Patterns 1 and 2.) [4 points]

a.

b.

14. Element the polynomial by grouping. (See exception R.4, Pattern 2.) [2 points]

15. Element each trinomial, if likely. (See exception R.4, Patterns 3 and 4.) [4 points]

a.

b.

16. Element each polynomial. (See exception R.4, Patterns 5 and 6.) [4 points]

a.

b.

17. Element each polynomial by adherence. (See exception R.4, Pattern 7.) [4 points]

a.

b.

18. Element by any rule. (See exception R.4, Patterns 1–7.) [2 points]

19. Find the estate of the moderate look. (See exception R.5, Pattern 1.) [2 points]

20. Transcribe the moderate look in last provisions. (See exception R.5, Pattern 2.) [2 points]

21. Find the work or quotient. (See exception R.5, Pattern 3.) [4 points]

a.

b.

22. Permould each adduction or disconnection. (See exception R.5, Pattern 4.) [4 points]

a.

b.

23. Simplify the look. (See exception R.5, Pattern 5.) [2 points]

24. (Modeling) Length from the Derivation of the Nile Large stream. [2 points]

The Nile Large stream in Africa is abquenched 4000 mi hanker. The Nile begins as an quenchedlet of Lake Victoria at an tallness of 7000 ft overhead deep roll and empties into the Mediterranean Deep at deep roll (0 ft). The length from its derivation in thousands of miles is akin to its eminence overhead deep roll in thousands of feet (x) by the forthcoming look.

Restraint pattern, when the large stream is at an tallness of 600 ft, x = 0.6 (thousand), and the persuasion from its derivation is

, which reproduce-exhibits 3000 mi.

(Source: World Almanac and Book of Facts.)

What is the length from the derivation of the Nile when the large stream has an tallness of 1200 ft?

25. Match the forthcoming look with its equiponderant look, (a)–(h) [2 points]

a. b.

c. d.

e. f.

g. h.

26. Permould the implied agencys. Transcribe each acceptance using barely explicit exponents. Assume total variables reproduce-exhibit explicit true quantity. (See exception R.6, Patterns 5 and 6.) [8 points]

a.

b.

c.

d.

27. Find the work. Assume total variables reproduce-exhibit explicit true quantity. (See exception R.6, Pattern 6(e), and exception R.3, Pattern 7.) [2 points]

28. Element, using the communicaten base element. Assume total variables reproduce-exhibit explicit true quantity. (See exception R.6, Pattern 7.) [4 points]

a.

b.

29. If the look is in exponential restraintm, transcribe it in original restraintm. If it is in original restraintm, transcribe it in exponential restraintm. Assume total variables reproduce-exhibit explicit true quantity. (See exception R.7, Patterns 2 and 3.) [4 points]

a.

b.

30. Simplify each look. Assume total variables reproduce-exhibit explicit true quantity. (See exception R.7, Patterns 1, 4–6, and 8–11.) [4 points]

a.

b.

31. Simplify each look. Assume total variables reproduce-exhibit explicit true quantity. (See exception R.7, Patterns 7, 9 and 11.) [6 points]

a.

b.

c.

32. Moderateize the denominator of the original look. Assume total variables reproduce-exhibit nonnegative quantity and that no denominators are 0. (See exception R.7, Pattern 12.) [2 points]