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# Recent problems solved by 'ewatrrr'

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 Quadratic_Equations/675123: using the method for solving quadratic equations from India, answer this question please. 2 X-2x-13=0 that is x squared -2x-13=0 Thank you for your help and please show your work so I can understand how to do this. Thank you. I am sure you are aware of this method from India, it breaks down like this, a) move the constant term to the right side of the equation, b) multiply each term in the equation by four times the coefficient of the X squared term, c) squared the coefficient of the original X term and add it to both sides of the equation, D) take the square root of both sides, E) set the left side of the equation equal to the positive square root of the number on the right side and solve for x, F) set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for X1 solutions Answer 419598 by ewatrrr(10682)   on 2012-11-02 13:30:54 (Show Source): You can put this solution on YOUR website!``` Hi, Here is one as an example that was just previously posted x2+12x-5=0 x2+12x = 5 4x2+48x = 20 4x2+48x+144 = 164 = ± sqrt(164) 2x + 12 = 2sqrt(41) x = -6 +sqrt(41) 2x + 12 = -2sqrt(41) x = -6 -sqrt(41) Checking using 'Completing the Square' (x+6)^2 = 5 + 36 x+6 = ±sqrt(41) x = -6 ±sqrt(41) ```
 Polynomials-and-rational-expressions/675147: -x^2(x+2)(x^2-1) how can i find the x intercepts. I get lost factoring! Help1 solutions Answer 419596 by ewatrrr(10682)   on 2012-11-02 13:25:12 (Show Source): You can put this solution on YOUR website!``` Hi Re: TY, graph was for demonstration only, in this case: Note: The factor theorem states that a polynomial f(x) has a factor (x − k)if and only if f(k) = 0 IF -x^2(x+2)(x-1)(x+1)= 0 || IF f(k) = 0, then the resulting "k(s)" are x-intercepts! -x^2 = 0 ||x = 0 0r (x+2) = 0 || x = -2 0r (x-1) = 0 || x = 1 0r (x+1) = 0 || x = -1 -x^2(x+2)(x^2-1) = -x^2(x+2)(x-1)(x+1) |||x-intercepts are -2,-1,0,1 Might recommend checking out downloading this FREE graphing software www.padowan.dk ```
 Functions/675124: f(x)= x^3-5^3/x-5 what is the domain and range of this function?1 solutions Answer 419590 by ewatrrr(10682)   on 2012-11-02 12:51:48 (Show Source): You can put this solution on YOUR website!``` Hi IF this is what You meant (please use parenthesis when posting for clarity) f(x)= ||Domain is all real number except x=5 f(x)= f(x) = x^2 + 5x + 25 f(x) = (x+5/2)^2 - 25/4 + 100/4 f(x) = (x+ 5/2)^2 + 75/4 Parabola opening Upward V(-5/2,75/4) Range is y ≥ 75/4 ```
 Numbers_Word_Problems/675142: the different between a number and six and seventeen i need this solve thank1 solutions Answer 419588 by ewatrrr(10682)   on 2012-11-02 12:37:20 (Show Source): You can put this solution on YOUR website!``` Hi Question not clear..please repost ```
 Travel_Word_Problems/675126: A train travels 600 km, how much would it take to go in 7 hours 1 solutions Answer 419587 by ewatrrr(10682)   on 2012-11-02 12:36:24 (Show Source): You can put this solution on YOUR website!``` Hi go where, how far?? ```
 Linear-systems/675143: How do I solve a linear equation, where x=y, using Substitution? 1 solutions Answer 419586 by ewatrrr(10682)   on 2012-11-02 12:34:45 (Show Source): You can put this solution on YOUR website!``` Hi Has to be 'something' You are leaving out... Please repost ```
 Inverses/675128: if f(x)=3-6x,find f-1(9)1 solutions Answer 419585 by ewatrrr(10682)   on 2012-11-02 12:33:19 (Show Source): You can put this solution on YOUR website!``` Hi f(x)=3-6x y = 3 - 6x ||Finding the Inverse (interchanging the x and y ) x = 3 - 6y' 6y' = 3-x y' = (3-x)/6 f '(9) = (3-9)/6 = -6/6 = -1 ```
 Quadratic_Equations/675129: x2+12x-5=0 that is x squared+12x-5=0 this must be solved by the method for solving quadratis equation that came from India, that states- it breaks down like this, a) move the constant term to the right side of the equation, b) multiply each term in the equation by four times the coefficient of the X squared term, c) squared the coefficient of the original X term and add it to both sides of the equation, D) take the square root of both sides, E) set the left side of the equation equal to the positive square root of the number on the right side and solve for x, F) set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for X Thank you for your help and please show your work so I can understand how to do this. Thank you.1 solutions Answer 419580 by ewatrrr(10682)   on 2012-11-02 12:20:58 (Show Source): You can put this solution on YOUR website!``` Hi x2+12x-5=0 x2+12x = 5 4x2+48x = 20 4x2+48x+144 = 164 = ± sqrt(164) 2x + 12 = 2sqrt(41) x = -6 +sqrt(41) 2x + 12 = -2sqrt(41) x = -6 -sqrt(41) Checking using 'Completing the Square' (x+6)^2 = 5 + 36 x+6 = ±sqrt(41) x = -6 ±sqrt(41) ```
 Quadratic-relations-and-conic-sections/675130: find the center and radius of the circle with the equation x^2+y^2-10y-24=01 solutions Answer 419572 by ewatrrr(10682)   on 2012-11-02 12:10:32 (Show Source): You can put this solution on YOUR website!``` Hi Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius x^2+y^2-10y-24=0 ||Putting in standard form x^2 +y^2-10y +25 = 24 + 25 C(0,5) and r = 7 ```
 Linear-equations/675141: state the slope and y-intercept : 7y=4x-71 solutions Answer 419568 by ewatrrr(10682)   on 2012-11-02 12:02:21 (Show Source): You can put this solution on YOUR website!``` Hi Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. 7y=4x-7 0r y = (4/7)x - 1, m = 4/7 and -1 is the y-intercept ```
 Mixture_Word_Problems/675133: : one canned juice drink 30% orange juice, another is 10% orange juice. How many liters of each should be mixed together in order to get 20L that is 27% orange juice.1 solutions Answer 419566 by ewatrrr(10682)   on 2012-11-02 12:00:11 (Show Source): You can put this solution on YOUR website!``` Hi 30% orange juice, another is 10% orange juice Mixing Algebraically .30x + .10(20L-x) = .27•20L .20x = .17•20L x = 17L of the 30% and 3L of the 10% and ```
 Permutations/675138: how many ways can a sample of 4 chocolates be selected from a box of 12 chocolates?1 solutions Answer 419564 by ewatrrr(10682)   on 2012-11-02 11:55:39 (Show Source): You can put this solution on YOUR website!``` Hi how many ways can a sample of 4 chocolates be selected from a box of 12 chocolates? 12C4 ways ```
 Reduction-of-unit-multipliers/675134: A bag of potato chips contains 585 mL of air at 25 degrees C and a pressure of 765 mmHg. Assuming the bag does not break, what will be its volume at the top of a mountain where the pressure is 442 mmHg and the temperature is 5.0 degrees C?1 solutions Answer 419563 by ewatrrr(10682)   on 2012-11-02 11:54:08 (Show Source): You can put this solution on YOUR website!``` Hi ```
 Polynomials-and-rational-expressions/675105: I've been working on these problems for hours... can someone please answer these? If so I would really REALLY appreciate it. If you would like to explain to me over the phone or by screen sharing on join.me, Skype, or Google+, then I will not be creeped out by that and it could really be beneficial. Google Drive (Questions on a Google Documents): https://docs.google.com/open?id=0B1-w-r1w46htaWdNdUhlaFhnbTQ Also I will type the questions here just in case you don't like clicking links from other people. 1. A polynomial equation with rational coefficients has the roots 7 +sqrt(3 , 2 – sqrt(6. Find two additional roots 2. The table shows the amount of milk that Wisconsin dairy farms produced from 1940 to 1997. Use a linear model to estimate milk production in 1990. (TABLE IS IN THE DOCUMENT LINK) 3. How many real zeroes does y = ( x + 8 )^3 + 9 have? 4. What is a quadratic function with only the two real zeroes given? x = 5 and x = 1 ** Can you show me how to do next problems step by step because it really works good for me to see the process of how to do something when I’m trying to really understand good. Also if writing out the steps of how you worked it takes too much time time you don’t have to and I will be completely understanding of that. I have a lot to do also :/ ** 5. Find a quadratic equation with roots –1 + 4i and –1 – 4i 6. Find all the zeroes of the equation –3x^4+ 27x^2 + 1200 = 0 7. Use the Binomial Theorem to expand the binomial (d – 4b)^3 8. What is the equation of y = x^3 with the given transformations? Transformations given: vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down 9. Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500kW in a 10m/s wind, how much power does it generate in a 12m/s wind? Thank you for whoever helps :) 1 solutions Answer 419559 by ewatrrr(10682)   on 2012-11-02 11:39:06 (Show Source): You can put this solution on YOUR website!``` Hi Done quickly, check for typos 1) Conjugates of the rational roots given: 7-sqrt(3 and 2+sqrt(6 2) M(1990) = (1/25)18 + 7 using for reference (1997,8)&(1972,7), 1990 being 18 yrs from 1972 3) y = ( x + 8 )^3 + 9 One root(see below Blue) 4) (x-5)(x-1) = x^2 - 6x + 5 5) (x - (-1+4i))(x-(-1-4i)) = x^2 +2x + 17 6) x^4 - 9x^2-400) = (x^2 - 25)(x^2 + 16) = 0 x = ±5 0r x = ±4i 7) 8) y = x^3 (see below Green) y = 3(x-4)^3 - 3 Purple 9) 500 = k(10)^3, k = .5 , P = .5(12)^3 ```
 Word_Problems_With_Coins/674717: John has 55 coins consisting of dimes, nickels and quarters. If the numbers of quarters are five more than twice the number of dimes, and the total value is 8.25. Find how many of each denomination of coin does he have? I know that the answer is 20 nickels, 10 dimes, and 25 quarters. I have set up the chart and got x + y + z = 55 and then, 5y + 10y + 25z = 82500 and then I got stuck on the number of quarters are five times than twice the number of dimes. I wrote it as 25(y + 5) and this does not fit into an equation that I can work off of. I am confused. Please show me how to set it up. Thank you.1 solutions Answer 419398 by ewatrrr(10682)   on 2012-11-01 16:11:22 (Show Source): You can put this solution on YOUR website!``` Hi John has 55 coins consisting of dimes, nickels and quarters. numbers of quarters are five more than twice the number of dimes x + y + z = 55 Yes, good work 0r y = = (50-3x) and the total value is 8.25. 5y + 10x + 25z = 825 ||Careful, Cents does makes sense..however, \$8.25 is 825¢ Substituting 5(50-3x) + 10x + 25(2x+5) = 825 250 - 15x + 10x + 50x + 125 = 825 45x = 825-125-250 45x = 450 x = 10, number of dimes. 20 nickels and 25 quarters and ```
 Polynomials-and-rational-expressions/674706: find all zeros (rational, irrational, and imaginary) exactly for p(x)=2x^4-x^3+2x-1? 1 solutions Answer 419395 by ewatrrr(10682)   on 2012-11-01 15:55:10 (Show Source): You can put this solution on YOUR website!``` Hi p(x)=2x^4-x^3+2x-1 x = -1 and x = 1/2 are roots Using synthetic division -1 2 -1 0 2 -1 -2 3 -3 1 1/2 2 -3 3 -1 0 1 -1 1 2 -2 2 0 results in 2x^2 - 2x + 2 ```
 Probability-and-statistics/674673: A college foundation raises funds by selling raffle tickets for a car worth \$36,000. Given that 720 tickets are sold for \$120 each. Find the expected net winnings to five decimal places, of a person buying one of the tickets and NOT winning.1 solutions Answer 419390 by ewatrrr(10682)   on 2012-11-01 15:28:58 (Show Source): You can put this solution on YOUR website!``` Hi ```
 Probability-and-statistics/674669: A college foundation raises funds by selling raffle tickets for a car worth \$36,000. Given that 720 tickets are sold for \$120 each. Find the expected net winnings to five decimal places, of a person buying one of the tickets.1 solutions Answer 419389 by ewatrrr(10682)   on 2012-11-01 15:25:29 (Show Source): You can put this solution on YOUR website!``` Hi expected net winnings = -\$70 Profit to the college foundation is = \$50,400 ```
 Probability-and-statistics/674670: A college foundation raises funds by selling raffle tickets for a car worth \$36,000. Given that 720 tickets are sold for \$120 each. Find the total profit for the foundation, if they had to purchase the car.1 solutions Answer 419388 by ewatrrr(10682)   on 2012-11-01 15:19:22 (Show Source): You can put this solution on YOUR website!``` Hi A college foundation raises funds by selling raffle tickets for a car worth \$36,000. Given that 720 tickets are sold for \$120 each. Find the total profit for the foundation, if they had to purchase the car. is the total dollar profit ```
 test/674702: Factor each trinomial, if possible. If the trinomial cannot be factored using integers, write prime. Show all steps. x^2-6x+91 solutions Answer 419386 by ewatrrr(10682)   on 2012-11-01 15:07:03 (Show Source): You can put this solution on YOUR website!``` Hi x^2-6x+9 = (x-3)(x-3) Check factoring Using FOIL F First terms O Outside terms I Inside terms L Last terms ```
 Probability-and-statistics/674672: Consider the Venn diagram below. The numbers in the regions of the circle indicate the number of items that belong to that region. The diagram has 2 circles and an intersection in the middle of the two- in circle A is the number 30 in circle B is the number 90 the intersected part has 20. Determine- 1) n (A) 2) n (B) 3) p (A) 4) p (B) 5) p (AǀB) 6) p (BǀA) 1 solutions Answer 419385 by ewatrrr(10682)   on 2012-11-01 15:04:47 (Show Source): You can put this solution on YOUR website!``` Hi 1) n (A) 50 2) n (B) 110 3) p (A) 50/140 4) p (B) 110/140 5) p (AǀB) 6) p (BǀA) P(X|Y) = P(X and Y)/P(Y) ```
 Geometry_Word_Problems/674682: x^2 + y^2 - 4x + 2y = 15 i) Find the coordinates of the centre C of the cirlce and the radius of the circle ii)Show that the point P (4, -5 ) lies in the circle iii) Find the equation of the tangent to the circle at the point P1 solutions Answer 419374 by ewatrrr(10682)   on 2012-11-01 14:30:30 (Show Source): You can put this solution on YOUR website!``` Hi x^2 + y^2 - 4x + 2y = 15 x^2 - 4x + 4 + y^2 + 2y + 1 = 15 + 4 + 1 C(2,-1) r = sqrt(20) = 2sqrt(5) C(2,-1) (4,-5) m = 4/-2 = -2 tangent Line m = 1/2 y = (1/2)x + b ||Using the (x,y) ordered pair (4,-5) to solve for b -5 =(1/2)4 + b -7 = b y = (1/2)x -7 ```
 Probability-and-statistics/674638: PLEASE HELP! A game consists of rolling a single fair die and pays off as follows: \$3 for a 6, \$2 for a 5, \$1 for a 4, and no pay off otherwise. a) Find the expected winnings for this game. b) what is a fair price to play this game. Please explain too! Thanks!1 solutions Answer 419372 by ewatrrr(10682)   on 2012-11-01 14:13:42 (Show Source): You can put this solution on YOUR website!``` Hi W 6 \$3 1/6 5 \$2 1/6 4 \$1 1/6 Expect winnings 6/6 or \$1 A game in which the expected net winnings are zero is called a fair game. b) what is a fair price to play this game. \$1 Net 6 \$2 1/6 5 \$1 1/6 4 \$0 1/6 3 -\$1 1/6 2 -\$1 1/6 1 -\$1 1/6 expected net winnings are zero ```
 Linear-equations/674654: Write the slope-intercept form of the equation for the line that passes through the point (-6,9) and has a slope of -9.1 solutions Answer 419367 by ewatrrr(10682)   on 2012-11-01 13:30:08 (Show Source): You can put this solution on YOUR website!``` Hi Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. line that passes through the point (-6,9) and has a slope of -9. y = (-9)x + b 9 = (-9)·-6 + b |Using ordered pair (x,y):(-6,9) to solve for b 63 = b y = -9x + 63 ```
 Equations/674639: I am trying to figure out how the following translates to an equation: A basketball team has won 50 games of 75 played. The team still has 45 games to play. How many of the remaining games must the team win in order to win 60% of all games played during the season? Now, I'll give you a guess and can you tell me if it is correct? If it is incorrect, please explain the correct way. I'm studying for a GED. Here is my guess: 50/75+45=60x1 solutions Answer 419360 by ewatrrr(10682)   on 2012-11-01 13:07:04 (Show Source): You can put this solution on YOUR website!``` Hi A basketball team has won 50 games of 75 played. The team still has 45 games to play. How many of the remaining games must the team win. being that amount in order to win 60% of all games played during the season? (total games won)/(total games played) = 60% x = 22 and 72/120 = .60 or 60% win record ```
 Linear-equations/674656: slope of line passing through(1980,18000)(2000,41000)1 solutions Answer 419355 by ewatrrr(10682)   on 2012-11-01 12:52:34 (Show Source): You can put this solution on YOUR website!``` Hi (2000,41000) (1980,18000) m = 23000/20 = 1150 ```
 Square-cubic-other-roots/674640: I need to factor this problem in order to find the zeros of the function... x^2-(2+sqrt(3))x+(1-sqrt3) Thank You!1 solutions Answer 419354 by ewatrrr(10682)   on 2012-11-01 12:49:25 (Show Source): You can put this solution on YOUR website!``` Hi, Previously Posted Check factoring Using FOIL F First terms O Outside terms I Inside terms L Last terms ```
 Linear-equations/674642: Explain why solving a system of equation graphically can be difficult. Use y=2x-5 and y=-x+3.1 solutions Answer 419353 by ewatrrr(10682)   on 2012-11-01 12:41:58 (Show Source): You can put this solution on YOUR website!``` Hi y=2x-5 ||(x,y) ordered pairs (0,-5) and (5/2,0) on this Line. Plot points & connect with Line y=-x+3. || (x,y) ordered pairs (0,3) and (3,0) on this Line. Plot points & connect with Line Explain why solving a system of equation graphically can be difficult: fractional values may be involved in the (x,y) ordered pair of the Intersection 2x-5 = -x+3 , x = 8/3 and y = 1/3 , Pt(8/3,1/3) point of Intersection ```
 Systems-of-equations/674644: For the following system, if you isolated y in the first equation to use the Substitution Method, what expression would you substitute into the second equation? 4x − y = 8 2x + 3y = 9 1 solutions Answer 419351 by ewatrrr(10682)   on 2012-11-01 12:32:27 (Show Source): You can put this solution on YOUR website!``` Hi 4x - y = 8 0r 2x + 3y = 9 2x + 3(4x-8) = 9 you substitute (4x-8) into the second equation? ```
 Square-cubic-other-roots/674643: I need to factor this problem in order to find the zeros of the function... Thank You!1 solutions Answer 419349 by ewatrrr(10682)   on 2012-11-01 12:29:55 (Show Source): You can put this solution on YOUR website!``` Hi Check factoring Using FOIL F First terms O Outside terms I Inside terms L Last terms ```