Tom Robbins WW Prob Lib1 Math , fall 2004

Transcription

1 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment due 9/9/4 at :59 PM..( pt) set/p.pg Is 3 a solution to 5 4 9?.( pt) set/p.pg Solve: 7 separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. -3,7 3.( pt) set/p3.pg Solve: 4 separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. -,-6 4.( pt) set/p4.pg Solve: t separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. NE 5.( pt) set/p5.pg Solve: s 3 6 separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. -3.5,8.5 6.( pt) set/p6.pg Solve: 3 7 separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. -7/3 7.( pt) set/p7.pg Solve: 4 6 separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. -/3, 8.( pt) set/p8.pg Solve: separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. /4 9.( pt) set/p9.pg Solve the following inequality. Write the answer in interval notation. 3 Note: If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter as infinity and as - infinity. If no intervals satisfy the equation, enter NE.

2 NE.( pt) set/p.pg Solve the following inequality. Write the answer in interval notation. 3s 4 Note: If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter as infinity and as - infinity. If no intervals satisfy the equation, enter NE. (5/3,infinity)U(-infinity,).( pt) set/p.pg Solve the following inequality. Write the answer in interval notation. 8 Note: If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter as infinity and as - infinity. If no intervals satisfy the equation, enter NE. [-78,8]

3 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment due 9//4 at :59 PM..( pt) set/p.pg Is the rhombus with corners at 3 3 a square? A rhombus is a square when its diagonals (the lines connecting opposite corners) have equal length..( pt) set/p.pg Use the distance formula to determine if the three points lie on a line. 3.( pt) set/p3.pg Find the coordinates of a point if the coordinates are equal in magnitude and opposite in sign, and the point is located 7 units to the right of the y-ais. y ( pt) set/p4.pg A triangle with vertices 3 4 is shifted up 3 units and to the left 4 units. Find the coordinates C C C 3 of the shifted triangle. C =(, ) C =(, ) C 3 =(, ) ( pt) set/p5.pg What quadrant (first, second, third, or fourth) is the point 4 3 in? SECOND 6.( pt) set/p6.pg Determine if each ordered pair is a solution to the equation y 4 8. Answer yes or no. (a) 6 (b) 4 (c) 3 (d) ( pt) set/p7.pg By plotting points determine if the graphs of the following are (a) a line (b) v-shaped (c) cup shaped. (See figure 3.8 on page 4 of the tet).. y 4. y 3. y 4. y C C B A 8.( pt) set/p8.pg Find the coordinates of the and y intercepts for the following. Enter NE if there are none.. y 4 8 =. y 4 = 3. y = 4. y = 5. y 4 = separated by commas (e.g.,, ). If there are no solutions, write the answer as NE. 8,- -4

4 NE -,-4

5 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment 3 due 9/5/4 at 8: AM..( pt) set3/p.pg For 3 y 8 find the following A) The coordinates of the -intercept: y B) The coordinates of the y-intercept: y C) The slope: ( pt) set3/p.pg Find so that the line connecting (,-) and (5,) has slope 3/4. Write the answer as a fraction. = ( pt) set3/p3.pg Find y so that the line connecting (-3,) and (,y) has slope ( pt) set3/p4.pg A) Write the equation +46 in slope intercept form B) What are the coordinates of the y intercept? = C)What is the slope? -/* ( pt) set3/p5.pg Find a number a so that (a,) satisfies the equation a= ( pt) set3/p6.pg Find the equation of the line which is: a) Parallel to the line 3- with y-intercept 4: b) Parallel to the line 3- with -intercept 4: c) Perpendicular to the line 3- with the same y-intercept : 3*+4 3*- -/3*- 7.( pt) set3/p7.pg Is the line through the points (-3,4),(-,3) parallel or perpendicular to the line through (,-3),(,-) Note: You MUST type in perpendicular or parallel! These are the only two answers webwork understands. The answer is not case sensitive. PERPENDICULAR

6 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment 4 due 9//4 at 8: AM..( pt) set4/p.pg Write an equation of the line that passes through the point (-,5) and has slope m = *+.( pt) set4/p.pg Write an equation of the line that passes through the point (,5) and has slope m=. *+5 3.( pt) set4/p3.pg Write an equation of the line that passes through the point (-8,5) and has slope m=. 5 4.( pt) set4/p4.pg Write an equation of the line that passes through the point (4,7/3) and (-,/3). /5*+/5 5.( pt) set4/p5.pg Write equations of lines that pass through the point (-3,4) and (a) is parallel to the line +6. (b) is perpendicular to the line +6. -/6*+7/ 6*+ 6.( pt) set4/p6.pg If a line passes through (,-) and has slope -4/3 then find two additional points on the line with the given -coordinates. =5, =8, ( pt) set4/p7.pg When driving down a mountain road, you notice a sign indicating a % upgrade. This means the slope of the road is / = /. If your odometer says that you have traveled for.6 of a mile along this road, how much has your elevation changed? Give your answer in miles. miles..597

7 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment 5 due 9/4/4 at 8: AM. %.( pt) set5/p.pg Find the domain and range of the relation (3,),(4,5),(6,-),(8,3). Domain= Range= separated by commas (e.g.,, ). 3,4,6,8,5,-,3.( pt) set5/p.pg Write a set of ordered pairs that represents the rule of correspondence: The cube of all integers greater than - and less than 5. If Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (-,-),(,),(,),(,8),(3,7),(4,64) 3.( pt) set5/p3.pg Determine which set of ordered pairs represents a function from A= 3 to B= 9. Type yes if the ordered pair represents a function and no if it doesn t ( pt) set5/p4.pg Find all y that satisfy the equation y if. separated by commas (e.g.,, ). Does the equation y determine y as as function of? Answer yes or no.,4 5.( pt) set5/p5.pg then find: If f 8 A) f = B) f 4 = f h f C) h = 3 (sqrt(9+h)-3)/h 6.( pt) set5/p6.pg f "! then find: A) f() B) f(4) C) f(-3/) D) f(-)+f(5) -6 3/ -67 if 6 3 if 7.( pt) set5/p7.pg Find the domain of the following functions. Write your answer in interval notation. f g $# h Note: If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter as infinity and as - infinity. [,infty) [,infty) U (-infty,-] (,infty)

8 8.( pt) set5/p8.pg A migrating bird flies at a constant speed for 8 hours. A) Write the distance traveled by the bird as a function of its speed s in miles per hour. d = B) Using part A find d when s = 35. d = 8*s 8

9 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment 6 due 9/7/4 at 8: AM..( pt) set6/p.pg Determine the domain and range of the following functions. Write your answer as an interval. (-infty,infty) [-4,-4] (-infty,infty) [,infty) (-infty,infty) [-,infty) (-infty,infty) (-infty,] (-infty,infty) (-infty,9] (-infty,infty) (-infty,6] (A) H 4 (B) g (C) h (D) Q t t (E) h 6 (F) f! 6 if & 6 if ' Domain Range.( pt) set6/p.pg Determine if the graph of the solutions to (a) a function of (b) a function of y Answer yes or no. y 4 is the graph of: 3.( pt) set6/p3.pg Given that the graph of y is an upward turned parabola identify what transformation must be applied to the graph of y to obtain the graphs of the following: (a) f 3 (b) f 5 (c) g 3 (d) h 3 (e) h 3

10 (a) (b) (c) (d) (e) Reflection -Ais Reflection y-ais Shift Left Shift Right Shift Up Shift Down TE: For the columns labeled Reflection -Ais and Reflection y-ais answer yes or no. For the columns labeled Shift Left, Shift Right, Shift Up, and Shift Down, enter a whole greater than zero ( pt) set6/p4.pg Given that the graph of f is half a parabola lying above the -ais and opening to the right, identify what transformations must be applied to the graph of y to obtain the graphs of the following: (a) g (b) h

11 (c) k (d) w (e) v (a) (b) (c) (d) (e) Reflection -Ais Reflection y-ais Shift Left Shift Right Shift Up Shift Down TE: For the columns labeled Reflection -Ais and Reflection y-ais answer yes or no. For the columns labeled Shift Left, Shift Right, Shift Up, and Shift Down, enter a enter a whole greater than zero. 5.( pt) set6/p5.pg Let f 3. Write a formula for the function whose graph is the same as f ecept that it is: 3

12 (A) Shifted down 3 units: y (B) Shifted left unit: h (C) Shifted right units and up 4 units: h (D) Reflected in the -ais: h (E) Reflected in the y-ais: h ˆ3-ˆ- (+)ˆ3-(+)ˆ+ (-)ˆ3-(-)ˆ+5 -ˆ3+ˆ- -ˆ3+ˆ- 4

13 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment 7 due 9/9/4 at 8: AM..( pt) set7/p.pg Which of the following systems are consistent? Answer yes or no. a) y 3 4y 7 b) 5 8y 8 7 4y 4 c) 9 6y 6 4y 3 d) y 5 y 5.( pt) set7/p.pg y 6y 6 Write your answer as a coordinate pair. Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (6,) 3.( pt) set7/p3.pg y 5y Write your answer as an coordinate pair. Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (-3,-) 4.( pt) set7/p4.pg y 3 y Write your answer as a coordinate pair. Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (/,/) 5.( pt) set7/p5.pg 3 4 y 3 y 4 Write your answer as a coordinate pair. Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (8,8) 6.( pt) set7/p6.pg You are setting up a small business and have made an initial investment of $3,. The unit cost of the guitar you are producing is $5., and the selling price is $75.. How many guitars must you sell to break even? 7.( pt) set7/p7.pg A total of $, is invested in two bonds that pay 8.5% and % simple interest. The annual interest is $4.. How much is invested in each bond? Amount at 8.5%: $ Amount at %: $ 4 8

14 8.( pt) set7/p8.pg Find two positive integers if the sum of the large number and twice the smaller number is 6 and their difference is 7. = 5 8

15 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment 8 due //4 at 8: AM..( pt) set8/p.pg 3y 9 6 9y 7 If there are no solutions write none. If there are an infinite number of solutions, find the solution for =. Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (,./.3).( pt) set8/p.pg y 4 48y 35 If there are no solutions write none. If there are an infinite number of solutions, find the solution for =, and write the answer as (,infinity). Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (/4,3/4) 3.( pt) set8/p3.pg 5 35y 5 5y If there are no solutions write none. If there are an infinite number of solutions, find the solution for =, and write the answer as (,infinity). Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (,) 4.( pt) set8/p4.pg y y If there are no solutions write none. If there are an infinite number of solutions, find the solution for =, and write the answer as (,infinity). Note: If there is more than one answer, write the ordered pairs separated by commas (e.g., (a,b),(c,d)). (7.68,5.76) 5.( pt) set8/p5.pg A total of $45 is invested in two funds paying 4% and 5% simple interest. The annual interest is $. How much is invested in each 4%: 5%: $ ( pt) set8/p6.pg An airplane is flying into a headwind that travels 3 miles in 6 hours and 5 minutes. On the return flight, the same distance is traveled in 5 hours. Find the speed of the plane in still air and the speed of the wind, assuming that both remain constant throughout the round-trip. Speed in Still Air: MPH Wind Speed: MPH ( pt) set8/p7.pg The equations ay 3 by 4 has solution for what choice of a and b?

16 a = b = ( pt) set8/p8.pg 3 lbs of mied nuts sells for $6.3/lb. The miture is obtained from two kinds of nuts, walnuts priced at $6.5/lb and peanuts at $5.9/lb. How many pounds of each variety of nut are used in the miture? Pounds of walnuts: Pounts of Peanuts:

17 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment 9 due /4/4 at 8: AM..( pt) set9/p.pg 3 3y 3 y z 4 If there are no solutions write none for the value of and leave the y and z values blank. y z 3.( pt) set9/p.pg y z 3y z 8 4 y 4 If there are no solutions write none for the value of and leave the y and z values blank. y z 4-3.( pt) set9/p3.pg 6y z 9 3 y 3z 5 5y z 7 If there are no solutions write none for the value of and leave the y and z values blank. y z ( pt) set9/p4.pg y 8z 3 y z 4 3z If there are no solutions write none for the value of and leave the y and z values blank. y z NE 5.( pt) set9/p5.pg 4y z 3 z 6 3y z If there are no solutions write none for the value of and leave the y and z values blank. y z -

18 6.( pt) set9/p6.pg An inheritance of $6, is divided among three investments yielding a total of $94 in interest per year. The interest rates for the three investments are 5%, 6%, and 7%. The amount invested at 6% is $3, less than the amount invested at 5%. Find the amount invested at each rate. Amount invested at 5%: $ Amount invested at 6%: $ Amount invested at 7%: $ ( pt) set9/p7.pg A miture of pounds of fertilizer A, 6 pounds of fertilizer B, and 6 pounds of fertilizer C provides optimal nutrients for a plant. Commercial brand X contains parts fertilizer B, one part fertilizer A, and one part fertilizer C. Brand Y contains only fertilizer C. Brand Z contains equal parts of fertilizers A and B. How much of each commercial fertilizer brand is needed to obtain the desired miture? Amount of brand X: lbs Amount of brand Y: lbs Amount of brand Z: lbs 6 6

19 Tom Robbins WW Prob Lib Math -, fall 4 WeBWorK assignment due /6/4 at 8: AM..( pt) set/p.pg Use the rules of eponents to simplify: A) ( 5 y 3 ) 3 ( y 3) n+ B) 4n* 6 y n* 5 y n* C) ( 5s 5 t 5) ( 6s t 4) D) ( 4y 3 z ) 3 E), 4 z* - 5 F), 3 y * 3 5y - a G), b* * 3 b 3 - ( ) 3 a H) ab ( a b ) I) 3 ( 3 y 4) ( 7y ) J). ( 3 y ) / *ˆ5*yˆ6 ˆ(*n-)yˆ -3*sˆ3*tˆ(-) -/64*yˆ9*zˆ(-3) /(6*zˆ) 5yˆ4/ˆ bˆ6/aˆ6 /(aˆ4*bˆ3) *ˆ3*yˆ4 /6*ˆ*yˆ8.( pt) set/p.pg Write the number in scientific notation. A) 98,, = B).7384 = TE: There are three blanks for each problem. The first one is the coefficient, the second is the base and the third is the power. As an eample, if you enter 3 in the first blank, 4 in the second blank, and 5 in the third, the result is Be sure your base is at least equal to ( pt) set/p3.pg Evaluate the epression. Write your answer in scientific notation. A) ( 6 5 6) ( 4) = B) 5 * 3 5 = C) 6 = D) = TE: There are three blanks for each problem. The first one is the coefficient, the second is the base, and the third is the power. As an eample, if you enter 3 in the first blank, 4 in the second blank, and 5 in the third, the result is Be sure your base is at least equal to