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 Rational-functions/367610: Multiply: 9x^2 -25 / 2x-2 and 1-x^2 / 6x-10 (Show your solution)1 solutions Answer 262011 by mananth(12270)   on 2010-11-08 05:30:15 (Show Source): You can put this solution on YOUR website!9x^2 -25 / 2x-2 and 1-x^2 / 6x-10 ... .. .. ... m.ananth@hotmail.ca
 Rational-functions/367609: Multiply (4c+5)^2 / 3c^2-10c-8 and (c-4)^2 / 4c+5 (Show Your Solution)1 solutions Answer 262010 by mananth(12270)   on 2010-11-08 05:17:53 (Show Source): You can put this solution on YOUR website! ... ... ... .. ... m.ananth@hotmail.ca
 Functions/367599: I am not sure that I chose the correct topic for the question. It is algebriac, but I am not sure of its specific topic. Anyway, here is the question: (r+2t)^3+(r-7t)^3 The answer is (2r-5t)(r^2+5rt+67t^2) I cannot figure out how they got the 67t^2! 1 solutions Answer 262008 by mananth(12270)   on 2010-11-08 05:03:03 (Show Source): You can put this solution on YOUR website!(r+2t)^3+(r-7t)^3 we use the formula of sum of two cubes .. .. .. m.ananth@hotmail.ca
 real-numbers/367602: Consider the equation x2 – 4x + 29 = 0. (a) Compute the discriminant, b2 – 4ac and state whether there is one real-number solution, or two different real-number solutions, or two different imaginary-number solutions. (b) Use the quadratic formula to find the exact solutions of the equation. Show work. 1 solutions Answer 262007 by mananth(12270)   on 2010-11-08 04:44:35 (Show Source): You can put this solution on YOUR website!x2 – 4x + 29 = 0. .. a=1, b = -4, c= 29 b^2-4ac= 16-116 b^2-4ac=-100 it is less than 0 so the roots are complex ... x1= x1=2+5i x2= ... x2=2-5i ... m.ananth@hotmail.ca
 test/367603: How do I translate to an inequality: The average speed s, was between 100 and 110 mph?1 solutions Answer 262006 by mananth(12270)   on 2010-11-08 04:37:10 (Show Source):
 Equations/367605: Find teh intercepts and then use them to graph teh equation 5y-15=5x1 solutions Answer 262005 by mananth(12270)   on 2010-11-08 04:34:06 (Show Source): You can put this solution on YOUR website!5y-15=5x for y intercept plug x =0 5y-15=0 5y=15 y=3 (0,3) ... for x intercept plug y = 0 5x=-15 /5 x= -3 (-3,0) .. ... m.ananth@hotmail.ca
 Equations/367606: Find the slope if it exists x+8y=16 need to know how to solve this problem and how to either write it out in integer or simplified fraction1 solutions Answer 262004 by mananth(12270)   on 2010-11-08 04:26:03 (Show Source): You can put this solution on YOUR website!x+8y=16 you have to rewrite the equation in the form y = mx+b where m is the slope and b the y intercept. x+8y=16 add -x x-x+8y=-x+16 8y= -x+16 /8 y = -x/8 +2 the slope is -(1/8) .. m.ananth@hotmail.ca
 Equations/367607: Find the slope, if it exists of the line containing the pair of points (-14, -11) (-19, -13) 1 solutions Answer 262003 by mananth(12270)   on 2010-11-08 04:23:03 (Show Source): You can put this solution on YOUR website!(-14, -11) (-19, -13) .. m= y2-y1/ x2-x1 m=-13-(-11) / 19-(-14) m=-2/33 the slope .. m.ananth@hotmail.ca
 Quadratic_Equations/367556: The denominator of a fraction exceeds the numerator by 2. If 5 be added to numerator the fraction increased by unity. The Fraction is?1 solutions Answer 261976 by mananth(12270)   on 2010-11-07 23:41:18 (Show Source): You can put this solution on YOUR website!numerator be x denominator = x+2 fraction = x/(x+2) .. (x+5)/(x+2) = x/(x+2) +1 .. (x+5)/(x+2) - x/(x+2) =1 (x+5 -x)/(x+2)= 1 5/(x+2) = 1 5 = x+2 5-2 = x x=3 ... The fraction is 3/5 . m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/367553: You are moving to a new home. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an \$80 fee plus \$35 per hour. Quick Move charges \$55 per hour with no additional fees. Which mover provides a better deal for 2 hours of work? How did you arrive at your answer? Tips: We need to solve the charge from the two companies for two hours of work. We will multiply the hourly rate by the number of ours. Heavy Lifters have a fee we need to add. 1 solutions Answer 261974 by mananth(12270)   on 2010-11-07 23:36:34 (Show Source): You can put this solution on YOUR website!Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an \$80 fee plus \$35 per hour. Quick Move charges \$55 per hour with no additional fees. Which mover provides a better deal for 2 hours of work? How did you arrive at your answer? heavy lifters \$80 + \$35/hour For 2 hours 80+2*35 = \$150 ... Quick Move \$55 /hour for 2 hours 2*55 = 110 .. Quick Move is a better deal .. m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/367551: You are back on the HOA board. The time has come to buy more trees and bushes for the neighborhood park. The first order was for 24 bushes and 16 trees and the bill totaled \$3960. The second order was 12 bushes and 32 trees and the bill totaled \$5220. Write an equation illustrating the first bill using b for the cost of the bushes and t for the cost of the trees. Tips: This is writing a basic equation showing the bill. We know how many trees and bushes and the total bill. The unknowns are the cost of each. Your Solution - Show your Work Below Worth 1 Point 1 solutions Answer 261972 by mananth(12270)   on 2010-11-07 23:32:38 (Show Source): You can put this solution on YOUR website!cost of bush = b : 24 number cost of tree = t : 16 trees total =3960 .. 24b+16t = 3960 ... m.ananth@hotmail.ca
 Graphs/367482: Find equation of the lines containing the given pair of points.. m=2/3(5,-7)1 solutions Answer 261971 by mananth(12270)   on 2010-11-07 23:28:48 (Show Source): You can put this solution on YOUR website!m=2/3(5,-7) .. the general equation is (y-y1)=m(x-x1) y-(-7)=2/3(x-5) y+7 = 2/3x -10/3 y = 2/3 *x -10/3 -7 y= 2/3*x -31/3 ... m.ananth@hotmail.ca
 Travel_Word_Problems/367527: A car is traveling 30 mph faster than a bus, in the time that it takes the bus to travel 105 miles the car travels 195 miles, what is the speed of the car? Im having trouble ive tried utilizing the v=d/t equation but i keep getting confused in my chart. Your help would be appreciated.1 solutions Answer 261970 by mananth(12270)   on 2010-11-07 23:21:54 (Show Source): You can put this solution on YOUR website!A car is traveling 30 mph faster than a bus, in the time that it takes the bus to travel 105 miles the car travels 195 miles, what is the speed of the car? bus speed be x mph bus distance = 105 bus time = 105/x car speed = x+30 mph car distance = 195 car time = 195/(x+30) .. car time = bus time 195/(x+30)= 105/x 195x=105(x+30) 195x=105x+3150 195x-105x= 3150 90x = 3150 /90 x= 35 mph speed of bus speed of car = 30+35 = 65 mph ... m.ananth@hotmail.ca
 Radicals/367531: sqrt(x+3)+1=sqrt(3x-2) Solve for x1 solutions Answer 261966 by mananth(12270)   on 2010-11-07 23:04:01 (Show Source): You can put this solution on YOUR website!sqrt(x+3)+1=sqrt(3x-2) Solve for x ... square both sides .. (sqrt(x+3)+1)^2=(sqrt(3x-2))^2 (x+3)+2sqrt(x+3)+1 = 3x-2 x+3 -3x+2+1= -2sqrt(x+3) -2x+6=-2sqrt(x+3) -2(x-3)=-2(sqrt(x+3) divide by -2 (x-3)^2= sqrt(x+3) square x^2-6x+9 = x+3 x^2-6x-x+9-3=0 x^2-7x+6=0 x^2-6x-x+6=0 x(x-6)-1(x-6)=0 (x-6)(x-1)=0 x 6 Or 1 ... m.ananth@hotmail.ca
 Problems-with-consecutive-odd-even-integers/367532: Three times the sum of three consecutive integers x, x + 1, and x + 2, is 72. What are the integers?1 solutions Answer 261965 by mananth(12270)   on 2010-11-07 22:39:34 (Show Source): You can put this solution on YOUR website!3(x+x+1+x+2)=72 3(3x+3)=72 9x+9=72 9x=72-9 9x=63 /9 x= 7 .. mananth@hotmail.ca
 Human-and-algebraic-language/367530: 5r-9s=-26, 9r+5s=381 solutions Answer 261964 by mananth(12270)   on 2010-11-07 22:37:14 (Show Source): You can put this solution on YOUR website!5r-9s=-26 9r+5s=38 multiply equation 1 by -9 & equation 2 by 5 to eliminate r .. -45r+81s=234 45r+25s=190 add them up 106s= 424 s= 424/106 s= 4 plug value of s in equation 1 5r-36=-26 5r=36-26 5r=10 /5 r=2 ... m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/367438: A 200-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 40 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.1 solutions Answer 261919 by mananth(12270)   on 2010-11-07 20:13:59 (Show Source): You can put this solution on YOUR website!A 200-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 40 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distan .. diagonal = 200 ft. let the vertical height at which it is fitted be x the horizontal distance = x+40 .. they form a right triangle ... x^2+(x+40)^2=200^2 x^2 + x^2 +80x+1600=40000 2x^2+80x-38400=0 /2 x^2+40x -19700=0 discriminant = 80,400 x1= (-40+sqrt*80400))/2 x1= 121.77 vertical distance = 121 horizontal distnace = 161 x2 will be negative so ignore .. m.ananth@hotmail.ca
 Numbers_Word_Problems/367439: Find the number that is 7/12 less than its reciprocal1 solutions Answer 261916 by mananth(12270)   on 2010-11-07 20:01:46 (Show Source): You can put this solution on YOUR website!let the number be x its reciprocal = 1/x x= 1/x -7/12 x-1/x = -7/12 x^2- 1 /x = -7/12 12(x^2-1)= -7x 12x^2-12 = 7x 12x^2+7x-12 =0 use quadratic equation to find the roots x1=(-7+sqrt(625))/24 x1= 0.75 x2=(-7-sqrt(625))/24 x2= -1.333 .. m.ananth@hotmail.ca
 test/367432: If the y intercept of the graph 3x-ky=14 is -8 what Is the value of k 1 solutions Answer 261914 by mananth(12270)   on 2010-11-07 19:53:28 (Show Source): You can put this solution on YOUR website!If the y intercept of the graph 3x-ky=14 is -8 what Is the value of k 3x-ky=14 .. ky = 3x-14 plug x=0 ky =-14 -14/k = y -14/k = -8 k= -14/-8 k=7/4 .. m.ananth@hotmail.ca
 Word_Problems_With_Coins/367434: Mia spent one third of her money on lunch. At lunch, her friend gave her \$2.50 to repay a loan. Then Mia spent \$3.25 for a movie ticket and \$.75 for a snack. She had \$4.90 left. How much did Mia have before lunch?1 solutions Answer 261911 by mananth(12270)   on 2010-11-07 19:46:22 (Show Source): You can put this solution on YOUR website!Mia spent one third of her money on lunch. At lunch, her friend gave her \$2.50 to repay a loan. Then Mia spent \$3.25 for a movie ticket and \$.75 for a snack. She had \$4.90 left. How much did Mia have before lunch? .. let Mia have \$x she spent x/3 on lunch so she has 2x/ 3 balance .. friend gace 2.5 = 2 1/2 = 5/2 .. she now had 2x/3 + 5/2 she spent 3.25 = 3 1/4 = 13/4 for amovie ticket & 3/4 for a snack 2x/3 +5/2 - 13/4 -3/4 LCD = 12 (8x+30-39-9)/12 = 4.90 (8x-18)/12 =4.90 8x-18= 58.80 8x = 58.80+18 8x= 76.80 /8 x= 76.80/8 x= \$9.60 amount she had . m.ananth@hotmail.ca
 Graphs/367061: many elevators have a capacity of 1000 kg.suppose that children(each weighing 35 kg)and adults(each weighing 80 kg) are on elevator.graph a system of linear inequalities that indicates when the elevator is overloaded1 solutions Answer 261725 by mananth(12270)   on 2010-11-07 08:41:44 (Show Source): You can put this solution on YOUR website!many elevators have a capacity of 1000 kg.suppose that children(each weighing 35 kg)and adults(each weighing 80 kg) are on elevator.graph a system of linear inequalities that indicates when the elevator is overloaded .. let number of children be x let adults be y 35x+80y>1000 /5 7x+20y>200 .. m.ananth@hotmail.ca
 Exponential-and-logarithmic-functions/367074: My daughter is having trouble with real exponents and exponential functions in Algebra 2 could you please show me how to work this problem out. There are not enough textbooks in her class for each student to have one to bring home so therefore I have nothing to go by. Thanks. The problem is: {(n sqrt(6) + w sqrt (3) )}x{(n sqrt (6) - w sqrt (3) )}1 solutions Answer 261723 by mananth(12270)   on 2010-11-07 08:29:48 (Show Source): You can put this solution on YOUR website!{(n sqrt(6) + w sqrt (3) )}x{(n sqrt (6) - w sqrt (3) )} There is a formula for difference of squares which is (a+b)(a-b ) = a^2-b^2 .. in this problem a= nsqrt6 b= wsqrt3 a^2-b^2 = (n sqrt(6))^2-(wsqrt(3)^2) = n^2*6-w^2*3 =6n^2-3w^2 =3(2n^2-w^2) OR ... (n sqrt(6){(n sqrt (6) - w sqrt (3)+( w sqrt (3) )}{(n sqrt (6) - w sqrt (3) (nsqrt(6)^2-nsqrt(6)*wsqrt(3)+nsqrt(6)*wsqrt(3)-(wsqrt(3))^2 (nsqrt(6)^2-(wsqrt(3))^2 which is same as above when simplified .. m.ananth@hotmail.ca ... ...
 Quadratic_Equations/367066: The wages of 8 men & 6 boys amount to Rs 33. If 4 men earn Rs 4.50 more than 5 boys determine the wages of each man & boy.1 solutions Answer 261719 by mananth(12270)   on 2010-11-07 08:17:36 (Show Source): You can put this solution on YOUR website!let 5 boys earn Rs x each boy earns x/5 ..... 4 men earm x+4.50 each man earns (x+4.50)/4 .. 8 men and 6 boys earn Rs. 33 8/4 * (x+4.50) + 6x/5 = 33 2(x+4.50)+6x/5 =33 2x+9+6x/5=33 2x+6x/5=33-9 (10x+6x)/5 = 24 16x= 5*24 x= 5*24/16 5 boys earn 7.50 1 boy earns 7.50/5 =1.50 Man earns (7.50+4.50)/4 12/4 =3 CHECK 8*3+6*1.5=33 .. m.ananth@hotmail.ca Man earns Rs3 & boy earns Rs.1.50
 Quadratic_Equations/367055: If a car is travelling at a constant rate of 45 miles per hour, how many miles does it travel from 10.40a.m. to 1.00p.m of the same day?1 solutions Answer 261705 by mananth(12270)   on 2010-11-07 05:37:44 (Show Source): You can put this solution on YOUR website!If a car is travelling at a constant rate of 45 miles per hour, how many miles does it travel from 10.40a.m. to 1.00p.m of the same day? .. 10.40 am to 1.00 pm = 2 hours 20 minutes = 2 20/60 =2 1/3 =7/3 hours ... speed = 45 mph .. d = rt d= 7/3 * 45 d=105 miles ... m.ananth@hotmail.ca
 Quadratic_Equations/367054: The diagonal of a rectangle is 5cm & one of its side is 4 cm. Its area is?1 solutions Answer 261704 by mananth(12270)   on 2010-11-07 05:35:28 (Show Source): You can put this solution on YOUR website!diagonal = 5 one side = 4 let other side be x .. they form a right triangle. so use pythagoras theorem diagonal is hypotenuse .. x^2+4^2= 5^2 x^2+16=25 x^2= 25-16 x^2= 9 x= 3 the other sides ... m.ananth@hotmail.ca
 Coordinate-system/367029: graph 1 solutions Answer 261700 by mananth(12270)   on 2010-11-07 05:24:11 (Show Source): You can put this solution on YOUR website! .. it will open downwards ... ... m.ananth@hotmail.ca
 Average/367031: I need to factor the following: 13 + 39x1 solutions Answer 261699 by mananth(12270)   on 2010-11-07 05:19:10 (Show Source): You can put this solution on YOUR website!13 + 39x .. 13 is factor of 39 13(1+3x) .. m.ananth@hotmail.ca
 Equations/367052: I really appreciate the help and have attempted to solve the problem below. Did I do this correctly? Please help... -2(4x+1)=24 my answrer: -13/16 Any Suggestions?1 solutions Answer 261697 by mananth(12270)   on 2010-11-07 05:16:54 (Show Source): You can put this solution on YOUR website!-2(4x+1)=24 .. -8x-2 = 24 add +2 -8x-2+2 = 24+2 -8x = 26 divide by -8 x= 26/-8 x= -13/4 ... Plug value in the equation to check -2(4*(-13/4)+1) -2(-12) =24 ... m.ananth@hotmail.ca
 Rate-of-work-word-problems/367053: a can finish a job in 3 hour and b can finish the same ob in 6 hours. how long will it take both of them working together to finish the job?1 solutions Answer 261696 by mananth(12270)   on 2010-11-07 05:12:01 (Show Source): You can put this solution on YOUR website!A does in 3 hours so A does 1/3 of the job in 1 hour .. B does in 6 hours B can do 1/6 of the job in 1 hour. .. together they can dp 1/3 + 1/6 of the job in 1 hour = 3/6 = 1/2 job in 1 hour .. they will do the job in 2 hours .. m.ananth@hotmail.ca
 Quadratic-relations-and-conic-sections/367033: the graph of is parabola with vertex, and the direction it opens is.1 solutions Answer 261695 by mananth(12270)   on 2010-11-07 05:08:49 (Show Source): You can put this solution on YOUR website! is parabola with vertex, and the direction it opens is. downwards why y = -3x^2-12x-9 compare with Ax^2 +Bx +y because the co-efficient of x^2 is negative ... ... m.ananth@hotmail.ca
 Distributive-associative-commutative-properties/367040: How do you solve this problem? (x + 3)(2x + 5)1 solutions Answer 261693 by mananth(12270)   on 2010-11-07 05:02:22 (Show Source): You can put this solution on YOUR website!(x + 3)(2x + 5) ... {x(2x+5)+3(2x+5)} {2x^2+5x+6x+15} 2x^2+11x+15 ... m.ananth@hotmail.ca