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Recent problems solved by 'stanbon'

stanbon answered: 57260 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269, >>Next

Linear-equations/91304: Here is my problem...Find the slope 10x - 6y = 21. I get so confused on the slopes is it 10? Thank you for your help. 1 solutions Answer 66283 by stanbon(57328)   on 2007-08-02 22:33:49 (Show Source): You can put this solution on YOUR website! Find the slope 10x - 6y = 21 Put the equation in slope-intercept form by solving for y: 6y = 10x-21 y = (5/3)x -(7/2) Slope = 5/3 Cheers, Stan H.

Linear-equations/91305: Tutor, Could you please tell me if I have this answer correct? Write the equation of the line that passes through point (0,7) with a slope of 2. Is the answer... y=2x + 7? Thanks. 1 solutions Answer 66282 by stanbon(57328)   on 2007-08-02 22:30:57 (Show Source): You can put this solution on YOUR website! Yes Cheers, Stan H.

Quadratic_Equations/91300: The height h in feet of an object after t seconds is given by the function h = –16t2 + 40t + 5. How long will it take the object to hit the ground? Round your answer to the nearest thousandth. 1 solutions Answer 66281 by stanbon(57328)   on 2007-08-02 22:12:01 (Show Source): You can put this solution on YOUR website! The height h in feet of an object after t seconds is given by the function h = –16t2 + 40t + 5. How long will it take the object to hit the ground? Round your answer to the nearest thousandth. ------------------ When the object hits the ground its height is zero. --------------- -16t^2+40t+5 = 0 16t^2-40t-5 = 0 t = [40+-sqrt(40^2-4*16*-5)]/32 t = [40 +-sqrt1920]/32 Positive answer: t = [40+43.8178...]/32 t = 2.619.. seconds ================================ Cheers, Stan H.

Numeric_Fractions/91301: This is my first time taking Algebra. I have a question which I could not understand. Could someone kindly help me to understand and to solve. Thank you In 2004 the population of Mexico is 106.5 million. If Mexico's population continue to grow at an annual rate of 1.43%, then the population in 2015 will be 106.5(1.0143)11 millon. a) Find the predicted population in 2015 to the nearest tenth of a million people. Kindly help me. 1 solutions Answer 66276 by stanbon(57328)   on 2007-08-02 21:36:25 (Show Source): You can put this solution on YOUR website! In 2004 the population of Mexico is 106.5 million. If Mexico's population continue to grow at an annual rate of 1.43%, then the population in 2015 will be 106.5(1.0143)^11 millon. a) Find the predicted population in 2015 to the nearest tenth of a million people. 106.5(1.0143)^11 millon = 106.5*1.169043524...= 124.50 million ================ Cheers, Stan H.

Graphs/91297: given: F(x) = x/x^2-9 a. Find the x-intercept(s). b. Find the y-intercept(s). c. Find the vertical asymptote(s) (write as an equation of a line). d. Find the horizontal asymptote(s) (write as an equation of a line). e. For x<-3, is there a value which F(x) cannot exceed, AND/OR a value which F(x) cannot fall below? Explain your answers. f. Is the function increasing or decreasing in the interval -3<- x <- 3? g. As x approaches 3 from the left, what happens to the function values? h. As x approaches 3 from the right, what happens to the function values? 1 solutions Answer 66274 by stanbon(57328)   on 2007-08-02 21:29:11 (Show Source): You can put this solution on YOUR website! given: F(x) = x/x^2-9 a. Find the x-intercept(s). Let y=0 and solve for x; y is 0 when the numerator is 0, i.e. when x=0 ----------------------- b. Find the y-intercept(s). Let x = 0, they y = 0 --------------------------- c. Find the vertical asymptote(s) (write as an equation of a line). Let x^2-9=0 then x=3 of x=-3; these are the vertical asymptotes. ------------------- d. Find the horizontal asymptote(s) (write as an equation of a line). The coefficients of the highest power term in the numerator and in the denominator are 0/1; The horizontal asymptote is y=0 ------------------------ e. For x<-3, is there a value which F(x) cannot exceed, AND/OR a value which F(x) cannot fall below? Explain your answers. You know the horizontal asymptote is y=0. Take a test value like x=-5 to see where the graph is relative to the line y=0. ---------------------------- f. Is the function increasing or decreasing in the interval -3<- x <- 3? Take a look at the graph. ---------------------- g. As x approaches 3 from the left, what happens to the function values? Check the graph ------------------------- h. As x approaches 3 from the right, what happens to the function values? Check the graph ======================= Cheers, Stan H.

Graphs/91298: Graph F(x) = x+1 / x^2-x -6 1 solutions Answer 66271 by stanbon(57328)   on 2007-08-02 21:15:24 (Show Source): You can put this solution on YOUR website! Graph F(x) = x+1 / x^2-x -6 Cheers, Stan H.

Graphs/91299: Find the horizontal asymptote of F(x) =5x^2+1/ x^2+2x+1 1 solutions Answer 66270 by stanbon(57328)   on 2007-08-02 21:12:36 (Show Source): You can put this solution on YOUR website! Find the horizontal asymptote of F(x) =5x^2+1/ x^2+2x+1 --------- To find the horizontal asymptote of a rational function: 1st: Find the highest power term; it doesn't matter if this term is in the numerator or in the denominator. For your problem the highest power term is x^2. --------- 2nd: Write down the coefficient of that highest power term as it appears in the numerator and as it appears in the denominator. For your problem that would be 5/1 ------------ 3rd: The horizontal asymptote is y= that number. For your problem that would be y=5 ================= Cheers, Stan H.

Surface-area/91206: this is a problem i would like to ask that if i know the circumference of an oval which is 1000m, how to find the area of this oval. please help me with this question. thanks. 1 solutions Answer 66268 by stanbon(57328)   on 2007-08-02 21:05:57 (Show Source): You can put this solution on YOUR website! That is not enough information to be able to find the area of the oval. cheers, Stan H.

Polynomials-and-rational-expressions/91296: I need help with this Word Problem. Ed and Dave are going to divide a cash prize of $14,000 in a ratio of 2 to 5. How much will Dave receive? How do you know who gets what amount? Here is how I worked it but confused on who gets what. x/14000-x=2/5 5x=2(14000-x) 5x=28000-2x 5x+2x=28000-2x+2x 7x=28000 7x/x=28000/7 x=4000 14000-x 14000-4000=10000 1 solutions Answer 66267 by stanbon(57328)   on 2007-08-02 21:04:29 (Show Source): You can put this solution on YOUR website! Ed and Dave are going to divide a cash prize of $14,000 in a ratio of 2 to 5. How much will Dave receive? -------------- 2 to 5 is the same as 2x to 5x Ed has 2x; Dave has 5x EQUATION: 2x+5x = 14000 7x = 14000 x=2000 Ed has 2x= $4000 Dave has 5x= $10000 ========== Cheers, Stan H.

Graphs/90552: Please help me with this: It asks to have the inequality solved and to state and graph the solution set??? x/x-3<=-8/x-6 HELP PLEASE!!! 1 solutions Answer 66266 by stanbon(57328)   on 2007-08-02 21:00:55 (Show Source): You can put this solution on YOUR website! state and graph the solution set??? x/(x-3)<=-8/(x-6) Find the values x CANNOT take. x cannot be 3 and x cannot be 6. ---------------- Draw a number line; plot 3 and 6 on that number line. You now have three intervals of points that may be solution points. Pick a test point from each interval to determine if the selected interval is part of the solution set. -------------- Interval (-inf,3); select x=0; 0/(0-3)<=-8/(0-6) ; true so (-inf,3) is part of the solution. ----------- Interval (3,6); select x= 5; 5/(5-3)<=-8/(5-6) ; true so (3,6) is part of the solution. ------------ Interval (6,inf); select x= 7; 7/(7-3)<=-8/(7-6); false so no solution here --------------- Final solution: (-inf,3)U(3,6) =============== Cheers, Stan H.

Linear-equations/91227: y=-x+5 Find the slop and y-intercept. 1 solutions Answer 66229 by stanbon(57328)   on 2007-08-02 15:41:25 (Show Source): You can put this solution on YOUR website! y=-x+5 Find the slop and y-intercept. slope = -1; intercept = 5 Cheers, Stan H.

Linear-equations/91235: y=-x+5 Find slope and y-intercept 1 solutions Answer 66228 by stanbon(57328)   on 2007-08-02 15:40:06 (Show Source): You can put this solution on YOUR website! y=-x+5 Find slope and y-intercept slope is the coefficient of "x" = -1 y-intercept is the value of y when x=0; that is 5 ============ Cheers, Stan H.

real-numbers/91237: 1. y(y*5)(wy) 2. |6-3.7|+|7-(5-2)| 3. 8-3|5-16+1| This is my first Algebra course. Kindly assist me. Thank you 1 solutions Answer 66227 by stanbon(57328)   on 2007-08-02 15:38:29 (Show Source): You can put this solution on YOUR website! 1. y(y*5)(wy) = 5y^2(wy) = 5wy^3 2. |6-3.7|+|7-(5-2)| = |2.3] + |7-3| = 2.3 + 4 = 6.3 3. 8-3|5-16+1| = 8-3(10) = -22 ================ Cheers, Stan H.

real-numbers/91236: Susan and Joan are diving for golf balls in a large trap. Susan recovers a golf ball every 0,016 hours while Joan recovers a ball every 0,025 hour. If both are working then at what rate(in golf balls per hour) are they recovering golf balls? Kindly help me. 1 solutions Answer 66226 by stanbon(57328)   on 2007-08-02 15:33:58 (Show Source): You can put this solution on YOUR website! Susan and Joan are diving for golf balls in a large trap. Susan recovers a golf ball every 0,016 hours while Joan recovers a ball every 0,025 hour. If both are working then at what rate(in golf balls per hour) are they recovering golf balls? ------------------ Susan DATA: Time = 0.016 hrs/job ; Rate = 1/0.016 job/hr ------------------- Joan DATA: Time = 0.025 hrs/job ; Rate = 1/0.025 job/hr ------------------------ Their together rate is 1/0.016 + 1/0.025 = 62.5 + 40 = 102.5/hr ========================== Cheers, Stan H.

Quadratic_Equations/91230: The value 'V'(in dollars per acre) of a wheat crop 'd' days after planting is given by V=12d-0.5d^2 for 201 solutions Answer 66225 by stanbon(57328)   on 2007-08-02 15:22:49 (Show Source): You can put this solution on YOUR website! The value 'V'(in dollars per acre) of a wheat crop 'd' days after planting is given by V=12d-0.5d^2 for 20 < d < 80. Find the maximum value of an acre of wheat. How many days after it was planted will it take to achieve this maximum value? ---------------- Maximum occurs at d = -b/2a = -12/(2*-0.5) = 12 V(d) = 12*12 - 0.5(12^2) = $72 per acre ========================= Cheers, Stan H.

Mixture_Word_Problems/91234: This question is from textbook The directions on a concentrated cleaner state that 3 tablespoons of concentrate make 345 ounces of fluid. How many ounces of cleaning fluid will 2 tablespoons of cleaner make? Thank you! 1 solutions Answer 66223 by stanbon(57328)   on 2007-08-02 14:59:13 (Show Source): You can put this solution on YOUR website! The directions on a concentrated cleaner state that 3 tablespoons of concentrate make 345 ounces of fluid. How many ounces of cleaning fluid will 2 tablespoons of cleaner make? -------------------------- Let x be the number of counces of cleaning fluid made by 2 taglespoons. x/2 = 345/3 x = (2*345)/3 x = 690/3 = 230 ounces of cleaning fluid ==================== Cheers, Stan H.

Functions/91232: Please help with this THANKS f(x)=-4x +2 g(x)= 6x^2 + 4x -5 NEED TO FIND: (got)(x) Do not understand HELP llo 1 solutions Answer 66221 by stanbon(57328)   on 2007-08-02 14:53:25 (Show Source): You can put this solution on YOUR website! f(x)=-4x +2 g(x)= 6x^2 + 4x -5 NEED TO FIND: (gof)(x) = g[f(x)] = g[-4x+2] = 6(-4x+2)^2 + 4(-4x+2) -5 = 6(16x^2-8x+4) -16x-8 -5 = 96x^2-48x+24-16x-13 = 96x^2-64x+11 =================== Cheers, Stan H.

Equations/91233: This question is from textbook what is the greastest commonn fator of 24 and 72 and also what is the answer to this 7a+16+(-4a)+(-4a) i tryed many times and its never the right answer i get -a + 16 1 solutions Answer 66220 by stanbon(57328)   on 2007-08-02 14:48:38 (Show Source): You can put this solution on YOUR website! what is the greatest common factor of 24 and 72 24 = (2^3)*3 72 = (2^3)*(3^2) The gcf is each prime raised to the lowest power present in either number: Your gcf is 2^3 * 3 = 24 --------------------- what is the answer to this 7a+16+(-4a)+(-4a) = 7a + 16 -8a =-a + 16 =================== Cheers, Stan H.

Quadratic_Equations/91217: factoring a quadratic with leading coefficient greater than one 2y^2+15y+28 1 solutions Answer 66197 by stanbon(57328)   on 2007-08-02 10:34:24 (Show Source): You can put this solution on YOUR website! factoring a quadratic with leading coefficient greater than one 2y^2+15y+28 ac=2*28=56 b=15 Think of two numbers whose product is 56 and whose sum is 15 The numbers are 7 and 8 Replace 15y by 7y+8y to get: 2y^2+7y+8y+28 Factor to get: y(2y+7)+4(2y+7) Factor again to get: (2y+7)(y+4) ============= Cheers, Stan H.

Radicals/91216: I need help with this problem Determine whether square root of 4 is rational or irrational Thank you 1 solutions Answer 66195 by stanbon(57328)   on 2007-08-02 10:31:14 (Show Source): You can put this solution on YOUR website! sqrt(4) = 2 = 2/1 Therefore it is rational. Cheers, Stan H.

Travel_Word_Problems/91212: A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current. (using the 5- step method ) 1 solutions Answer 66194 by stanbon(57328)   on 2007-08-02 10:29:52 (Show Source): You can put this solution on YOUR website! A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current. --------- Draw the picture: Symbolize the DATA: Downstream DATA: distance= 20 miles; time = 3 hrs ; rate = 20/3 hrs -------- Upstream DATA: distance = 20 miles; time = 4 hrs ; rate = 20/4 = 5 hrs --------------- Let speed in still water be "b" Let speed of the current be "c" ----------------- EQUATION: b+c=20/3 b-c=5 ----------- Add the two equations: 2b = 35/3 b = 35/6 mph (speed of the boat in still water) Solve for c: 35/6 + c = 40/6 c=5/6 mph (speed of the current) =============== Cheers, Stan H.

Triangles/91214: this is a type of problem i was unable to solve. i was given the perimeter of a scalene triangle which was 1000m and asked to find its area. please can you help me solve this problem.thanks. 1 solutions Answer 66193 by stanbon(57328)   on 2007-08-02 10:22:34 (Show Source): You can put this solution on YOUR website! With only that information you cannot find the area. If you know the length of each side, you can. Cheers, Stan H.

Graphs/91188: Find the equation of the line that goes through the given point and has the given slope. Write the answer in slope-intercept form. (-1,-5), -8 1 solutions Answer 66192 by stanbon(57328)   on 2007-08-02 10:20:18 (Show Source): You can put this solution on YOUR website! Find the equation of the line that goes through the given point and has the given slope. Write the answer in slope-intercept form. (-1,-5), -8 ------------- The equation has the form y=mx+b You know m=-8 and y=-5 when x=-1 so you can solve for b as follows: -5 = (-8)(-1)+b b=3 EQUATION: y = -8x + 3 ================= Cheers, Stan H.

real-numbers/91198: Prove that cube root of 7 is an IRRATIONAL number ? 1 solutions Answer 66191 by stanbon(57328)   on 2007-08-02 10:16:05 (Show Source): You can put this solution on YOUR website! Prove that cube root of 7 is an IRRATIONAL number ? Assume that cube rt 7 is rational. Then (7)^(1/3) = a/b where a and b are integers and a/b is reduced to lowest terms. Then a=b[7^(1/3)] Since a is a multiple of b and a is an integer, b divides a. Since b divides a, a = nb and n is an integer. Therefore 7^(1/3) = a/b = nb/b, so a/b is not reduced to lowest terms. ----------- What led to this contradiction? The assumption that 7^(1/3) was rational. The assumption must be wrong. Therefore 7^(1/3) if irrational. ================ Cheers, Stan H.

Linear-equations/91213: Solve each system by graphing. y=-2/3x 2x+3y=5 I tried to use the formula y=mx+b. Can you show me line by line instructions so I can get the steps straight in my head. Thanks for your help. 1 solutions Answer 66190 by stanbon(57328)   on 2007-08-02 10:04:34 (Show Source): You can put this solution on YOUR website! Solve each system by graphing. y=-2/3x 2x+3y=5 ------------- Put both in slope-intercept form and graph them: y=-2/3x y=(-2/3)x+(5/3) -------------- ----------- The lines are parallel so there is no solution for the system of equations. ============== Cheers, Stan H.

Probability-and-statistics/91195: A bag contains 52 tickets numbered 1,2...52 of which 5 are drawn at random and arranged in ascending order t1>t2>t3>t4>t5.find the probability that t4 being 42. 1 solutions Answer 66188 by stanbon(57328)   on 2007-08-02 09:11:40 (Show Source): You can put this solution on YOUR website! A bag contains 52 tickets numbered 1,2...52 of which 5 are drawn at random and arranged in ascending order t1>t2>t3>t4>t5.find the probability that t4 being 42. ---------- To get the 42 on the 4th card you have to NOT get the 42 on the 1st, the 2nd, or the 3rd card. Once you get the 42 on the 4th card the next card can be any of the remaining cards. Prob(no 42 on 1st draw)= 51/52 Prob(no 42 on 2nd draw) = 50/51 Prob(no 42 on 3rd draw) = 49/50 Prob(42 on the 4th draw) = 1/49 Prob(any card on the 5th draw) = 48/48 ----------------- P(42 on 4th draw) = (51/52)(50/51)(49/50)(1/49)(48/48) = (1/52)(1/49) = 1/2548 ========== Cheers, Stan H.

percentage/91180: The question is: This year, 75% of the graduating class of Harriot Tubman High School had taken at least 8 math courses. Of the remaining members, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses? ---I know it's 60% of 25% but how do you get that? What does "of" stand for? 1 solutions Answer 66185 by stanbon(57328)   on 2007-08-01 22:55:08 (Show Source): You can put this solution on YOUR website! This year, 75% of the graduating class of Harriot Tubman High School had taken at least 8 math courses. Of the remaining members, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses? ---I know it's 60% of 25% but how do you get that? What does "of" stand for? ------------ What does (1/3) of 6 mean? It means 2. How do you get that? You multiply. "of" means multiply. ------------------- 75% take at least 8 math courses. -------------------- That leaves 25% who did not take at least 8 math courses. 60% of those 25% took 6 or 7 math courses: 0.60*0.25 = 0.15 = 15% took 6 or 7 math courses. ----------- Summarizing; 75% take at least 8 math course 15% take 6 or math classes That leaves 10% who took fewer than 6 math courses. ================= Cheers, Stan H. .

real-numbers/91179: 3(x-2)+2=2(x-4) -7x=-26+6x 7x+3>9x-5 I=Prt solve for r This is from Beginning Algebra by John Tobey, Jeffrey Slater 6th edition 1 solutions Answer 66184 by stanbon(57328)   on 2007-08-01 22:43:57 (Show Source): You can put this solution on YOUR website! 3(x-2)+2=2(x-4) 3x-6+2 = 2x-8 3x-4 = 2x-8 x = -4 ---------------------- -7x=-26+6x 13x = 26 x=2 ------------------- 7x+3>9x-5 8> 2x x<4 ---------------- I=Prt solve for r r = I/(Pt) ========================= Cheers, Stan H.

Graphs/91176: 2) By looking at the equation for a rational function, how can you tell if there will be "y-values" which will never occur? How might this be represented on the graph? 1 solutions Answer 66183 by stanbon(57328)   on 2007-08-01 22:35:11 (Show Source): You can put this solution on YOUR website! The denominator of the rational function cannot have a value of zero. If there are radicals in the denominator the radicand must not be negative. ---------------- Cheers, Stan H.

Numeric_Fractions/91178: Sarah spends 1/4 of her income for transportation, 1/6 of her income for food, and 1/3 of her income for rent and utilities. What fractional part of Sarah's income is left for all of her other expenses? 1 solutions Answer 66182 by stanbon(57328)   on 2007-08-01 22:30:19 (Show Source): You can put this solution on YOUR website! Sarah spends 1/4 of her income for transportation, 1/6 of her income for food, and 1/3 of her income for rent and utilities. What fractional part of Sarah's income is left for all of her other expenses? --------- 1-1/4-1/6-1/3 Lcd is 12 = 12/12 - 3/12 -2/12 -4/12 = (12-9)/12 = 3/12 = 1/4 is left for all her other expenses ======================= Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/91167: The percentage of women in the 20-24 age group who have never married went from 55% in the 1970 to 73% in 2000 (Census Bureau, www.census.gov) Let 1970 be year 0 and 200 be year 30. a.) Find the interpret the slope of the line through the points (0,55) and (30,73). b.) Find the equation of the line in part (a). c.) What is the meaning of the y-intercept? d.) Use the equation to predict the percentage in 2010. e.) If this trend continues, then in what year will the percentages of women in the 20-24 age group who have never married reach 100%? 1 solutions Answer 66180 by stanbon(57328)   on 2007-08-01 21:57:49 (Show Source): You can put this solution on YOUR website! The percentage of women in the 20-24 age group who have never married went from 55% in the 1970 to 73% in 2000 (Census Bureau, www.census.gov) Let 1970 be year 0 and 2000 be year 30. a.) Find the interpret the slope of the line through the points (0,55) and (30,73). slope = [73-55]/[30-0] = 18/30 = 9/15 slopw means "for each 15 years gone by the percent of women in the designated group who have never married increased 9%" ----------------------------- b.) Find the equation of the line in part (a). m= (9/15) and y = 55 when x= 0 EQUATION: y = (9/15)x+55 ----------------------------- c.) What is the meaning of the y-intercept? y-intercept occurs when x = 0 means that in 1970 the percentage was 55 ---------------------------------- d.) Use the equation to predict the percentage in 2010. In 2010 x= 2010-1970 = 40 Let x=40 and solve for y: y = (9/15)40+55 = 24+55 =79% ------------------------------- e.) If this trend continues, then in what year will the percentages of women in the 20-24 age group who have never married reach 100%? Let y= 100 and solve for x: 100 = (9/15)x+55 45 = (9/15)x x = 75 1970+75= 2045 ================ Cheers, Stan H.