Precalculus: Analytic Geometry and Algebra

Precalculus: Analytic Geometry and Algebra

Please check the attached document for all the questions.

____ 1.

Listtheelementsofthefollowingset.D={2x|0<x<6,xisaninteger}

1. {2, 4, 6, 8, 10, 12 }
2. {0, 2, 4, 6, 8, 10 }
3. {2, 4, 6, 8, 10 }
4. {0, 2, 4, 6, 8, 10, 12 }

____ 2.
a.

b.

c. d.

; The answer is

____ 3.

a.

1. .54
2. .45

d.

|2x–1|≤9.Thesolutionsetis

1. {x|–4≤x≤5}
2. {x|–5≤x≤4}
3. {x|x≤–5orx≥4}
4. {x|x≤–4orx≥5}

Express in decimal notation.

____ 4.

____ 5.

; The LCD is

____ 6.

The current, I , in amperes, that flows through a coil of wire is found by dividing 110 by the resistance of the wire, R, in ohms. Using the function for this, find the current through a coil of wire with a resistance of 80 ohms.

a. b. c. d.

a. (x+1)(x–6)

b. c. d.

(x–6)2 (x+1)2 (x + 1) (x – 6)2 (x – 6) (x + 1)2

____ 7.
a.

b. c. d.

____ 8.

____ 9.

; The conjugate to multiply by is

; The numerator of the second step is

1. (2x–3)(x+1)x(x–4)
2. (2x–3)(x+1)(x+2)(x–2)
3. (2x+3)(x–1)x(x–4)
4. (2x+3)(x–1)(x–2)(x+2)

Express as the ratio of two integers. a.

b. c. d.

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