(MAT200 -PreCalclus) Wk2 Qz

(MAT200 -PreCalclus) Wk2 Qz - Student: Shanna Hawxhurst...

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Unformatted text preview: Student: Shanna Hawxhurst Submitted: 01/22/09 5:41pm IN.) '44 Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus Find the slope ofthe line. 1 M" _ _ 14 The slope ofthe line ism = — T . (Simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.) Assignment: Week Two, Quiz One X |||||||||| lllllllll) -10 10 -13: A credit card company reported that during one 9000} Debt Credit Card Debt 8730 decade, its average cardholder's credit card balance rose 162%. Find the average rate of change in the 8000L credit card balance from 1992 to 2002. 70m} The average rate of change over the 10-year period 5000 was $ 539.50 per year. 5000— (Round to the nearest cent.) 4000— 300m( 3 3 3 5 2000— Year 1000........|)- 1992 2002 Find the slope and they-intercept of the line. Then 5.; gaph the line. 2X — y = 5 The slope is 2 . (Simplify your answer.) The y-intercept is (0, —5 ). Choose the correct gaph of2X —y = 5. Page 1 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Two, Quiz One Submitted: 01/22/09 5:41pm Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus 4_ Find the equation of a line containing the given point and having tlgiven slope. (2 3) 5 9 9 m: — 4 . . 5 1 The equat10n is y: 1 x + 3 . (Simplify your answer. Use integers or fractions for any numbers in the expression.) Determine whether the pair of lines is parallel, perpendicular, or neither. U1 Choose the correct answer below. Neither V’ Perpendicular Parallel (1 Write a slope-intercept equation for a line passing through the giverpoint that is parallel to the given line. The write a second equation for a line passing through the given point that is perpendicular to thgiven line. (6,—4); 6x+7y=5 6 8 The equation of the parallel line is y= — Fx+ ; . (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.) 7 The equation of the perpendicular line is y: Ex — 11 . (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any number i the expression.) 7_ Solve the equation. 1 The solution set is 4 — F 7x — — 1 = O ( ) (Type an integer or a fraction.) Page 2 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Two, Quiz One Submitted: 01/22/09 5:41pm Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus 11 During one year, $14.6 billion was spent on copies of films for home Viewing. About $4.1 billion of this amount was spent orVHS tapes . What percent of the spending for films went for VHS tapes ‘? About 28.1 % of spending went forVHS tapes . (Round to the nearest tenth.) 9_ Find the zero of the linearfunction. f(x) = X + 5 The zero of the function is — 5 . 10_ Add and simplify. (6 —6z') +(9—8i) The answer is 15 — 14 i . (Type your answer in the form a + bi.) 1 1_ Subtract and simplify. 02 9o (7 40 (12 91') (7 41') = 5+5 1' (Simplify your answer. Type your answer in the form aera'.) 1 2_ Multiply. (?"&X—6—fi) (7--8i)(—6—7i)=14—97i (Simplify your answer. Type your answer in the form aeri.) 1 3_ Multiply. (2—7:)2 (2—702: —45—28i (Simplify your answer. Type your answer in the form a + b) 14_ Solve. 4 7" c: ,—— 5 2 (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) 10c2+27c—28=0 Page 3 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Two, Quiz One Submitted: 01/22/09 5:41pm Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus 15_ Solve. 6x3 +x2 —54x—9=0 (Hint: factor by gouping.) 1 The solutions are X: — E3,— 3 . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) 16_ Use the quadratic formula to solve the equation. 2x2—3X=1 3+V1? 34/17 4 ’ 4 ' (Simplify your answers. Type exact answers, using radicals as needed. Use commas to separate answers. Type N if there are no real solutions.) The solutions are X = 1] Determine the nature of the solutions of the equation. 3t2—7t=0 Choose the solutions of the solutions of the equation. 9 2 real solutions 2 imaginary solutions 1 real solution 18_ Find the zeros of the function. f(X)=3X2—7x—13 7+ |#205 7— I11'205 6 6 (Use a comma to separate answers as needed. Type each answer as a single fraction, using radicals as needed.) The zeros are 19_ A picture frame measures 18 cm by 30 cm, and 364 cm2 of picture shows. Find the width of theframe. The width of the frame is 2 cm. Page 4 Student: Shanna Havvxhurst Instructor: Christine Curley Assignment: Week Two, Quiz One Submitted: 01/22/09 5:41pm Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus 20_ Use the gaph of the quadratic function f(x) = a(x —h) 2 + k to find the vertex, axis of [— 10,10,— 10,10] Xsc1= 1 Yscl =1 The vertex is (2,1) . (Type an ordered pair.) The axis of symmetry is x: 2 . Choose the correct range. (2,1) * [190) x (—0521] . (—00:00) What is the minimum or maximum value of the function? 1 YOU AN S‘WERED: C Page 5 Student: Shanna Hawxhurst Instructor: Christine Curley Assignment: Week Two, Quiz One Submitted: 01/22/09 5:41pm Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus 21_ Find the vertex, the line ofsymmetry, the maximum 01 Choose the correct gaph. minimumvalue of the quadratic fiinctionand gaph : the function. A A 20— 20— f(x)=—2x2+2x+6 1 -5 Z 5 -5 E 5 The x-ooordinate of the vertex is E . _20_ _20_- (Type a simplified fraction.) U. 13 20} O—A The y-ooordinate of the vertex is 7 . (Type a simplified fraction.) -5 g 5 1 20—: The equation of the line ofiymmetry is x = E . (Type a simplified fraction.) 13 The maximumfminimum of f(x) i: 7 . (Type a simplified fraction.) 1 13 _ The value, — = — is? 2 2 Minimum V Maximum Page 6 Student: Shanna Havvxhurst Instructor: Christine Curley Assignment: Week Two, Quiz One Submitted: 01/22/09 5:41pm Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus 22 1 '3 For the functionf(x) = — Ext + 9x — 8, find the vertex, determine whether there is a maximum or minimum value and find that value, find the range, and find the intervals on which the function is increasing and decreasing. What is the vertex? 65 9,— l 2 1 (Type an ordered pair. Simplify your answer.) Is there a maximum or a minimum? Minimum 'V' Maximum What is the maximum value? 65 2 (Simplify your answer.) What is the range? 65 '9‘ ' 65 —9w — CD,— 2 2 (—00:91 ' [9:00) On what intervals is the function increasing and decreasing? increasing on (9,00), decreasing on (— 00,9) V increasing on ( —00,9), decreasing on (9,00) N La; Aki's Bicycle Desiws has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.3x2 — 0.6x + 9.835, where C(x) is in hundreds of dollars. How many bicycles should the shc build to minimize the average cost per bicycle? The shop should builc 100 bicycles. (Round to the nearest integer.) Page 7' Student: Shanna Hawxhurst Submitted: 01/22/09 5:41pm Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Precalculus Assignment: Week Two, Quiz One 24. 25. 26. 27. 28. Solve. 1 5 7 4X+8 x2—4 _ x—Z " 26 9 (Type an integer or a fraction.) X: 78 YOU ANSWERED: — E Solve. 3 V3x—2 =—5 x: —41 Solve. The solution set is{ 9, — 9 }. Use a comma to se arate answers. I I 9 P X = 1 1 1 qf Solve— + — = — for 1". The solution isr = — . r q f q_ f Solve and write interval notation for the solution set. Then gaph the solution set. 7X3 —56 or x—2>0 Choose the correct solution set below. (—00,—8) L.) [2,00) 5: (—8,2] V'J: (—00,—8] u (2,00) 1.1-. [—82) Choose the correct gaph below. —12—10—8 6 —4 —2 0 2 4 6 81012 —12—10—8 —6 —4 —2 0 2 4 6 81012 9.. —12—10—8 —6 —4 —2 0 2 4 6 81012 —12—10—8 —6 —4 —2 0 2 4 6 81012 Page 8 Student: Shanna Hawxhurst Submitted: 01/22/09 5:41pm Instructor: Christine Curley Course: 903 CURLEY C, MAT 200 004 016 Book: Strayer University Math 200: Preealculus Assignment: Week Two, Quiz One 2 9. U. Solve. x—3 2 |>1 The solution is (— 00,1)U(5,oc) . (Type the solution set in interval notation. Type N if there is no solution.) Choose the gaph of the solution set. 0'. «(IIIH—HIIIIIIII» fi—l—H—l—l—H—l—l—t—l—l—l—b —4—202468101214161820 —4—202468101214161820 fi—t—H—l—l—H—l—l—t—t—l—t—b «lllH—Hllllllllr —4—202468101214161820 —4—202468101214161820 Curt can be paid in one oftwo ways for the furniture he sells. Plan A: Salary of$000 per month, plus a commission of 10% of sales. Plan B: Salary of $1200 per month, plus a commission of 15% of sales in excess of $8000. For what amount of monthly sales is plan B better than plan A, assuming Cufl's sales are always more than $8.000?I Plan B is better than Plan A when Cufl's sales are more than $ 20000 . Page 9 ...
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This note was uploaded on 01/19/2012 for the course MATH MAT200 taught by Professor Unknown during the Spring '11 term at Strayer.

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(MAT200 -PreCalclus) Wk2 Qz - Student: Shanna Hawxhurst...

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