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Recent problems solved by 'stanbon'

stanbon answered: 57151 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 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179, >>Next

Length-and-distance/458157: Suppose you are given a box whose interior measures 50 cm by 55 cm and is 30 cm high. What is the maximum number of MAT 115 textbooks you can pack inside the box without folding, cutting or otherwise damaging the books? You must try to visualize the solution and provide clearly written instructions or a detailed drawing to explain how you would place the books in the box. Hint for Problem Two: You will have to measure the length, width, and depth of your textbook in centimeters (cm). As a group, compare the measurements taken by each person and then agree on one set of measurements to use in your solution. 1 solutions Answer 314259 by stanbon(57219)   on 2011-06-06 14:52:15 (Show Source): You can put this solution on YOUR website! Suppose you are given a box whose interior measures 50 cm by 55 cm and is 30 cm high. What is the maximum number of MAT 115 textbooks you can pack inside the box without folding, cutting or otherwise damaging the books? You must try to visualize the solution and provide clearly written instructions or a detailed drawing to explain how you would place the books in the box. --------------------------------------------- "Hint for Problem Two: You will have to measure the length, width, and depth of your textbook in centimeters (cm). As a group, compare the measurements taken by each person and then agree on one set of measurements to use in your solution." --- Book dimensions: measurements length = 26.2 Width = 20.9 cm Depth = 2.2 cm ------------------ Volume of box = 50*55*30 = 82500 cm^3 Volume of each book = 26.2*20.9*2.2 = 1204.676 cm^3 ---------------- Max number of books in box <= 68 when rounded down ==================================================== Cheers, Stan H. ===========

Human-and-algebraic-language/458151: if the sides of a square are lengthned by 7 inches,the area becomes 121 in^2.find the length of a side of the original square. 1 solutions Answer 314257 by stanbon(57219)   on 2011-06-06 14:50:09 (Show Source): You can put this solution on YOUR website! if the sides of a square are lengthned by 7 inches,the area becomes 121 in^2.find the length of a side of the original square. ----- Area of a square = (side)^2 ------------------ Equation: (s+7)^2 = 121 s+7 = 11 side = 4 inches ---------------------- Cheers, Stan H. ======================

Probability-and-statistics/458149: Hello my question is for Hypothesis testing.. A research hospital claims that more than 3.7% of the population suffers from high blood pressure. Use p, the represent the population proportion. H0: Ha: Which hypothesis is the claim? 1 solutions Answer 314254 by stanbon(57219)   on 2011-06-06 14:47:44 (Show Source): You can put this solution on YOUR website! A research hospital claims that more than 3.7% of the population suffers from high blood pressure. Use p, the represent the population proportion. --------- "more than" implies > Note: Equality must ALWAYS be included in Ho. ----------- H0: p <= 0.037 Ha: p > 0.037 (claim) Which hypothesis is the claim?::Ha ======================== Cheers, Stan H.

Probability-and-statistics/458144: compute the following 10C3 A) 720 B) 10!/3! C) 120 D) 10! 1 solutions Answer 314250 by stanbon(57219)   on 2011-06-06 14:44:06 (Show Source): You can put this solution on YOUR website! 10C3 = (10*9*8)/(1*2*3) = 120 ----------------------------- Cheers, Stan H. ============================= A) 720 B) 10!/3! C) 120 D) 10!

Probability-and-statistics/458146: 13. There are 10 members on the board of directors at a certain firm. They must elect a chairperson, a vice chairperson, and a secretary. How many different slates of candidates are possible here? Answer with a number. 14. In the setting described in #13, they are selecting 3 members for a newly formed subcommittee. How many different selections can they make for this subcommitee? Answer with a number. 1 solutions Answer 314248 by stanbon(57219)   on 2011-06-06 14:41:06 (Show Source): You can put this solution on YOUR website! 13. There are 10 members on the board of directors at a certain firm. They must elect a chairperson, a vice chairperson, and a secretary. How many different slates of candidates are possible here? Answer with a number. --- Ans: Order is implied Ans: 14*13*12 = 2184 ===================================== 14. In the setting described in #13, they are selecting 3 members for a newly formed subcommittee. How many different selections can they make for this subcommitee? Answer with a number. Ans: Order is not implied. Ans 14C3 = 364 =================== Cheers, Stan H. ===================

Equations/458137: Interest obtained after one year on an investment at 2 1/2% simple interest per year. x=number of dollars invested 1 solutions Answer 314240 by stanbon(57219)   on 2011-06-06 14:21:23 (Show Source): You can put this solution on YOUR website! Interest obtained after one year on an investment at 2 1/2% simple interest per year. x=number of dollars invested ---- I = Prt I = x*0.025*1 Interest = 0.025x ====================== Cheers, Stan H. ============

Length-and-distance/458133: A line passes through the orgin and has a slpoe of -3. what is the equation of the line that is perpendicular to the first line and passes through the point (3,4)? 1 solutions Answer 314239 by stanbon(57219)   on 2011-06-06 14:19:06 (Show Source): You can put this solution on YOUR website! A line passes through the orgin and has a slpoe of -3. what is the equation of the line that is perpendicular to the first line and passes through the point (3,4)? ---- The slope of the line you want must be 1/3 ----- Find equation of line with m = 1/3 and y = 4 when x = 3. ------ Equation Form: y = mx + b 4 = (1/3)(3) = b b = 4-1 b = 3 ------ Equation: Y = (1/3)x+3 ========================== Cheers, Stan H. ==========================

Exponential-and-logarithmic-functions/458135: using f(x) and g(x) above, find f(g(x)) and g(f(x)) 1 solutions Answer 314237 by stanbon(57219)   on 2011-06-06 14:16:25 (Show Source): You can put this solution on YOUR website! f(x) and g(x) were not posted. Cheers, Stan H.

Trigonometry-basics/457930: how to solve 3cot^2 x-4csc x=1 on the interval 0≤x≤2∏ 1 solutions Answer 314215 by stanbon(57219)   on 2011-06-06 12:32:31 (Show Source): You can put this solution on YOUR website! solve 3cot^2 x-4csc x=1 on the interval 0≤x≤2∏ ---- 3(csc^2-1)-4csc = 1 --- 3csc^2 -4csc -4 = 0 --- Factor: 3csc^2-6csc+2csc-4 = 0 --- 3csc(csc-2)+2(csc-2) = 0 ---- (csc-2)(3csc+1) = 0 csc(x) = 2 or csc(x) = -1/3 ---------------------------------- x = pi/4 or (3/4)pi and csc^(-1/3) does not exist ====================================================== Cheers, Stan H.

Trigonometry-basics/458078: Simplify each trigonometric expression. 1. sec (theta)[sec (theta) - cos (theta)] 1 solutions Answer 314213 by stanbon(57219)   on 2011-06-06 12:23:57 (Show Source): You can put this solution on YOUR website! sec (theta)[sec (theta) - cos (theta)] --- sec(x)[(1/cos(x) - cos(x)] ---- sec(x)[(1-cos^2(x))/cos(x)] --- sec(x)[sin^2(x)/cos(x) ---- = sin^2(x)/cos^2(x) ---- = tan^2(x) ================ Cheers, Stan H.

Evaluation_Word_Problems/458075: I entered this question awhile ago, but got no help, can someone help me Solve for X: x^2 +16x + 4= 0 1 solutions Answer 314211 by stanbon(57219)   on 2011-06-06 12:20:38 (Show Source): You can put this solution on YOUR website! x^2 +16x + 4= 0 ---- a = 1 ; b = 16 ; c = 4 ---- Use the quadratic formula: x = [-b +- sqrt(b^2-4ac)]/(2a) ------ x = [-16 +- sqrt(16^2 -4*1*4)]/2 ------ x = [-16 +- sqrt(240)]/2 ------ x = [ -16 +- 4sqrt(15)]/2 -------------------------------- x = -8+2sqrt(15) or x = -8-2sqrt(15) =============================================== Cheers, Stan H. ==============

Percentage-and-ratio-word-problems/458043: how to work out 50 divided by ratio of 4-1? 1 solutions Answer 314188 by stanbon(57219)   on 2011-06-06 11:12:10 (Show Source): You can put this solution on YOUR website! how to work out 50 divided by ratio of 4-1? ---------------------- 4:1 is the same as 4x:x ---- Equation: 4x + x = 50 5x = 50 ----------- x = 10 and 4x = 40 ================ Cheers, Stan H.

real-numbers/458033: Which are irrational numbers -2, o, 32, 4.31, sqaure root14, sq root 9, 1 solutions Answer 314184 by stanbon(57219)   on 2011-06-06 10:58:06 (Show Source): You can put this solution on YOUR website! Which are irrational numbers -2, 0, 32, 4.31, square root(14), sq root(9), ------------------------------ The only irrational is sqrt(14) The others are all rational ================================== Cheers, Stan H.

Probability-and-statistics/458037: In how many different ways can you answer a multiple choice test that has 9 questions and 3 choices for each answer 1 solutions Answer 314182 by stanbon(57219)   on 2011-06-06 10:54:18 (Show Source): You can put this solution on YOUR website! In how many different ways can you answer a multiple choice test that has 9 questions and 3 choices for each answer ------------- 1 questin----3 ways 2 questions--3*3 ways 3questions---3*3*4 = 3^3 ways --- ---- 9 questions: 3^9 = 19683 ways ================================== Cheers, Stan H. ============

Trigonometry-basics/458023: If I have a right triangle whose angles are 90 degrees, 53 degrees, and 37 degrees, and I know the hypotenuse is 6, what are the lengths of the other two sides? 1 solutions Answer 314160 by stanbon(57219)   on 2011-06-06 09:36:49 (Show Source): You can put this solution on YOUR website! If I have a right triangle whose angles are 90 degrees, 53 degrees, and 37 degrees, and I know the hypotenuse is 6, what are the lengths of the other two sides? ---- Draw the picture: Let the side opposite the 53 degree angle be "a" Let the side opposite the 37 degree angle be "b" ------------------------ Sin(53) = a/6 a = 6*sin(53) = 4.7918 ----------- cos(53) = b/6 b = 6*cos(37) = 3.6109 =========================== Cheers, Stan H.

Linear-equations/458020: Hello everyone! I realize it is stated only one problem per submission, however, there are two problems I worked on and worked on and worked on. Each time I thought I had finally solved correctly I still ended up wrong on quiz. I have a test reviewing these types of problems (and others) and would like to understand how to do them correctly prior to taking the test. Any help would be so appreciated! PROBLEM #1: Solve the system of equations by graphing. Check your solution. 2x+y=-8 3x-y=3 PROBLEM #2: Solve the system of equations by graphing. Check your solution. y=x+3 x+y= -2/5 Thank you! 1 solutions Answer 314159 by stanbon(57219)   on 2011-06-06 09:31:45 (Show Source): You can put this solution on YOUR website! PROBLEM #1: Solve the system of equations by graphing. Check your solution. Solve each for "y" and graph both on the same set of axes. ---- 2x+y=-8 y = -2x-8 You need 2 points to graph the line: (0,-8) and (-2,-4) will do --------------------- 3x-y=3 y = 3x-3 (0,-3) and (1,0) --------------------- Solution is the point at which the lines intersect: Solution: (-1,-6) ----------------------- Checking: 2x+y = -8 -2-6 = -8 -8=-8 -------------- 3x-y = 3 3(-1)-(-6) = 3 -3+6 = 3 3 = 3 ===================== Cheers, Stan H. ===================== PROBLEM #2: Solve the system of equations by graphing. Check your solution. y=x+3 x+y= -2/5

Quadratic_Equations/458017: Please help I have two problems: find the vertex,line of symmetry and graph the function: f(x)=-2x^2+2x+10 f(x)=2-x^2 Thank you Gina 1 solutions Answer 314157 by stanbon(57219)   on 2011-06-06 09:06:16 (Show Source): You can put this solution on YOUR website! f(x)=-2x^2+2x+10 --- The vertex occurs where x = -b/(2a) = -2/(2*-2) = 1/2 f(1/2) = -2(1/2)^2+2(1/2)+10 = -1/2 + 1 + 10 = 10 1/2 = 21/2 Vertex:::(1/2,21/2) ============================ f(x)=2-x^2 x = -b/(2a) x = 0/(2*-2) = 0 f(0) = 2 --- Vertex: (0,2) ============= Cheers, Stan H. =============

Number-Line/458018: If you are dealing with large numbers, how long should your number line be. 1 solutions Answer 314153 by stanbon(57219)   on 2011-06-06 08:50:04 (Show Source): You can put this solution on YOUR website! If you are dealing with large numbers, how long should your number line be. ---- It's not how long your line should be. It's how you scale your line. --- Pick a point on any line segment. If you pick a point 1 in to the right you could label is 1 or you could label it 1 million. It's up to you do decide. Cheers, Stan H.

Miscellaneous_Word_Problems/458013: the purchasing agent for a transport company is analyzing bids for seat belts from two suppliers A and B. the difference in the cost per unit from each supplier is $5, if for $1200 the agent could buy ten more belts from suppliers"A" then from supplier B. How many belts could he buy from A for $1500 1 solutions Answer 314152 by stanbon(57219)   on 2011-06-06 08:47:12 (Show Source): You can put this solution on YOUR website! the purchasing agent for a transport company is analyzing bids for seat belts from two suppliers A and B. the difference in the cost per unit from each supplier is $5, --------------------------- if for $1200 the agent could buy ten more belts from suppliers"A" then from supplier B. Let number from B be "x": then unit price from B is 1200/x Number from A is "x+10"; then unit price from A is 1200/(x+10) ----- Equation: 1200/x - (1200/(x+10) = $5 Multiply thru by x(x+10) and solve for "x": 1200x + 1200*10 - 1200x = 5x(x+10) 5x^2+50x - 12000 = 0 x^2 + 10x - 2400 = 0 x = 44.24 So Unit price from A is 1200/54.24 = $22.12 ==================================================== How many belts could he buy from A for $1500 # of belts = 1500/22.12 = 67.8 belts (round which ever way you wish) ======================================== Cheers, Stan H.

Polynomials-and-rational-expressions/458014: How to factor out 18t^2-24t+6 1 solutions Answer 314151 by stanbon(57219)   on 2011-06-06 08:35:22 (Show Source): You can put this solution on YOUR website! factor out 18t^2-24t+6 ----- Greatest common Factor: 6 --- Factored Form: 6(3t^2-8t+1) =============================== Cheers, Stan H.

Probability-and-statistics/458006: In a small town, the probability of a power outage during a rainstorm is 10%. find the following probabilities rounded to the nearest %. P(at least 2 outages in the next 5 rainstorms). P(at most 1 outage in the next 5 rainstorms) 1 solutions Answer 314149 by stanbon(57219)   on 2011-06-06 06:51:40 (Show Source): You can put this solution on YOUR website! In a small town, the probability of a power outage during a rainstorm is 10%. find the following probabilities rounded to the nearest %. ---- Binomial Problem with n = 5 and p = 0.10 ---- P(at least 2 outages in the next 5 rainstorms). --- P(2 <= x <=5) = 1-P(0<= x<=1) = 1-binomcdf(5,0.1,1) = 0.0815 ------------------ P(at most 1 outage in the next 5 rainstorms) P(0 <= x <=1) = 0.9185 =========================== Cheers, Stan H.

Evaluation_Word_Problems/457912: Find the CENTER and the LENGTH of a radius of the circle. x2 + y2 + 16x + 4y + 59 = 0 1 solutions Answer 314091 by stanbon(57219)   on 2011-06-05 22:32:20 (Show Source): You can put this solution on YOUR website! Find the CENTER and the LENGTH of a radius of the circle. x^2 + y^2 + 16x + 4y + 59 = 0 ------------------------- Complete the square on the x-terms and on the y-terms. ---------------------------- x^2+16x+64 + y^2+4y+4 = -59+64+4 -------- (x+8)^2 + (y+2)^2 = 9 --- center at (-8,-2) radius = sqrt(9) = 3 ========================= Cheers, Stan H.

Graphs/457919: how to graph: y"is less than or equal to sign"-x + 2 1 solutions Answer 314088 by stanbon(57219)   on 2011-06-05 22:24:03 (Show Source): You can put this solution on YOUR website! y"is less than or equal to sign"-x + 2 --- Graph y = -x+2 which is the boundary of the inequality. Shade the half-plane BELOW the boundary because you wnat y to be LESS than -x+2. --------------------------------- =================== Cheers, Stan H. ===================

Functions/457917: find the domain and range of the function y=3(1/5)^x 1 solutions Answer 314087 by stanbon(57219)   on 2011-06-05 22:20:31 (Show Source): You can put this solution on YOUR website! find the domain and range of the function y=3(1/5)^x --- Thoughts: (1/5)^x can get close to zero but can never be negative. So domain is all Real Numbers and range is all Real numbers greater than zero. =================================================== Cheers, Stan H.

Probability-and-statistics/457880: Can you please help me solve this problem. Thank you! Approximately 73% of all marketing personnel are extroverts, whereas about 69% of all computer programmers are introverts. (a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? (Use 3 decimal places.) What is the probability that 5 or more are extroverts? (Use 3 decimal places.) What is the probability that all extroverts? (Use 3 decimal places.) (b) In a group of 5 computer programmers, what is the probability that none are introverts? (Use 3 decimal places.) What is the probability that 3 or more are introverts? (Use 3 decimal places.) What is the probability that all are introverts? (Use 3 decimal places.) 1 solutions Answer 314079 by stanbon(57219)   on 2011-06-05 21:00:57 (Show Source): You can put this solution on YOUR website! Approximately 73% of all marketing personnel are extroverts, about 69% of all computer programmers are introverts. ------------------------ (a) At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts? (Use 3 decimal places.) Ans: 1- binomcdf(15,0.73,9) = 0.804 ======================================== What is the probability that 5 or more are extroverts? (Use 3 decimal places.) Ans: 1- binomcdf(15,0.73,4) = 0.999 ----------------------------------------- What is the probability that all extroverts? (Use 3 decimal places.) Ans: (0.73)^15 = 0.009 --------------------------- (b) In a group of 5 computer programmers, what is the probability that none are introverts? (Use 3 decimal places.) Ans: 0.31^3 = 0.030 --------------------------- What is the probability that 3 or more are introverts? (Use 3 decimal places.) Ans: 1- binomcdf(5,0.69,2) = 0.823 -------------------------------- What is the probability that all are introverts? (Use 3 decimal places.) Ans: 0.69^5 = 0.156 ============================= Cheers, Stan H.

Probability-and-statistics/457886: Please help answer this probability question. Find the variance for the given data. Round your answer to one more decimal place than the original data. {-2, -2, 11, -7, 3} A) 46.2 B) 46.4 C) 37.0 D) 46.3 1 solutions Answer 314077 by stanbon(57219)   on 2011-06-05 20:49:35 (Show Source): You can put this solution on YOUR website! Find the variance for the given data. Round your answer to one more decimal place than the original data. {-2, -2, 11, -7, 3} 1st: Find the mean of the data. 2nd: Subtract the mean from each of the data values. 3rd: Square each of those differences 4th: Divide by n-1 = 5 --- That is the variance: variance = 46.2 ================== Cheers, Stan H. ================== A) 46.2 B) 46.4 C) 37.0 D) 46.3

Probability-and-statistics/457888: Please help. Find the median for the given sample data. {18, 5, 8, 9, 15, 18, 8, 18} 4) 1 solutions Answer 314076 by stanbon(57219)   on 2011-06-05 20:44:45 (Show Source): You can put this solution on YOUR website! Find the median for the given sample data. {18, 5, 8, 9, 15, 18, 8, 18} ---- Put the data in order: {5,8,8,9,15,18,18,18} Since there are an even number average the middle 2 data values: (9+15)/2 = 12 That is the median. Cheers, atan H.

Probability-and-statistics/457855: Please help with this probability question. Needing detail solution steps. Find the probability. The table below describes the smoking habits of a group of asthma sufferers. non smoker light smoker heavy smoker total men 350 88 82 520 women 334 70 84 488 total 684 158 166 1008 A person is randomly selected. If the person selected is a light smoker, what is the probability that it is a woman? A) 0.069 B) 0.143 C) 0.443 D) 0.257 1 solutions Answer 314059 by stanbon(57219)   on 2011-06-05 19:07:36 (Show Source): You can put this solution on YOUR website! The table below describes the smoking habits of a group of asthma sufferers. non smoker light smoker heavy smoker total men 350..... 88...... 82...... 520 women 334..... 70...... 84...... 488 total 684..... 158..... 166..... 1008 A person is randomly selected. If the person selected is a light smoker, what is the probability that it is a woman? ---- This is a conditional probability problem. P(woman | light smoker) = [P(woman AND light smoker)]/P(light smoker)] --- = 70/1008 / 158/1008 = 70/158 = 0.4430 ------------------- Notice: You get the answer faster by simply dividing the number of light-smoker women by the # of light smokers =================== Cheers, Stan H. A) 0.069 B) 0.143 C) 0.443 D) 0.257

Polynomials-and-rational-expressions/457847: How do I reduced this? (x-2)/(x^2-6x+8) Ive seen countles of exercises and videos explaining how to solve it but then I ask myself what happened to 6x and 8? Dont know why the answer is 1/x-4. 1 solutions Answer 314057 by stanbon(57219)   on 2011-06-05 18:56:22 (Show Source): You can put this solution on YOUR website! reduce this? (x-2)/(x^2-6x+8) ---- If you simplify 6/24 you have to know that 6 is a factor of 24 so you can write the problem as follows: ------ 6/24 = 6/(6*4) --- you can write that as 6/24 = (6/6)*(1/4) ---- You have to know that 6/6 = 1 So you have 6/24 = 1*(1/4) = 1/4 That is called the "simplified form of 6/24 ====================== Your Problem: Simplify (x-2)/(x^2-6x+8) ---- You have to know the factors of x^2-6x+8 = (x-4)(x-2) --- Then (x-2)/(x^2-6x+8) can be written as [(x-2)/(x-2)]*(1/(x-4)) --- But (x-2)/(x-2) is 1 -- So the simplified form of your problem is 1/(x-4) ==================================================== Cheers, Stan H. ===============

Quadratic-relations-and-conic-sections/457840: Write each conic sectioning standard form. Identify the conic section. 1. 25x^2+9y-225=0 2. x^2-9y^2-36=0 1 solutions Answer 314054 by stanbon(57219)   on 2011-06-05 18:40:06 (Show Source): You can put this solution on YOUR website! Write each conic sectioning standard form. Identify the conic section. 1. 25x^2+9y-225=0 ----- 25x^2 = -9y + 225 x^2 = (-9/25)y + 9 (x-0)^2 = (-9/25)(y - 25) ------------------------- Parabola ========================================== 2. x^2-9y^2-36=0 [(x-0)^2/36] - [(y-0)^2/4] = 1 ----- Hyperbola ================== Cheers, Stan H. ==================

Equations/457839: When is the answer ? 1 solutions Answer 314047 by stanbon(57219)   on 2011-06-05 18:20:23 (Show Source): You can put this solution on YOUR website! Answer to what question?