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# Recent problems solved by 'ewatrrr'

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 Graphs/394981: Find and label the vertex and the line of symmetry. Graph the function. The vertex is ____. (Type an ordered pair.) The equation of the line of symmetry is x=____. Graph.1 solutions Answer 280326 by ewatrrr(10682)   on 2011-01-15 12:40:44 (Show Source): You can put this solution on YOUR website!  Hi Using the vertex form of a parabola, where(h,k) is the vertex Vertex is Pt(3,0) and x = 3 the line of symmetry 
 Quadratic-relations-and-conic-sections/394966: the equation of hyperbola is given by f(x)= -4/x. write down the equations of the function that is formed when f is transformed as follows:1. shifts 2 units horizontally;(2)shifts 3 units vertically;(3)shift 1unit horizontally and -2 units vertically(4) the equation of the asymptotes is x = -4 and y = -1.(5)shifting the graph vertically so that it passes through point(-2;1). (6)shifting the graph horizontally that it passes through point(2;2)1 solutions Answer 280325 by ewatrrr(10682)   on 2011-01-15 12:35:13 (Show Source): You can put this solution on YOUR website!  Hi y = -4/x Green hyperbola y = -4/(x-2) Blue hyperbola |shfting 2 horizontally y = -4/x +3 purple hyperbola |shifting 3 vertically y = -4/(x-1) - 2 yellow |shifting 1 horizontaly and -2 vertically 
 Linear-equations/394968: How can we use the slope-intercept form of the equation of the line for solving inequalities and systems of inequalities?1 solutions Answer 280324 by ewatrrr(10682)   on 2011-01-15 12:04:04 (Show Source): You can put this solution on YOUR website!  Hi Note: the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. isolating y on one side of the equality by performing allowable operations correctly For ex: 2y -4x < 4 y < 2x + 2 |Line: y = 2x + 2, slope m = 2/1 y intercept Pt(0,2) ONe can graph the line and shade below it: (y < 2x+2) to illustrate the graph of the Inequality Solved by pluggable solver: Plot Any Inequality Graphing function : As to systems of Inequalities, the shaded area they have in common, represents the solution for the Inquality For ex. system of Inequalities y < 2x + 2 Green line y > 2x - 2 Blue line Solution would be shaded area below green line and above blue line Solution would be the shaded area between the two lines and not including the lines 
 Polynomials-and-rational-expressions/394970: $\bg_white S=2\sqrt{I-5}$ 2. Psychology. The number of nonsense syllables that a person can repeat consecutively could be used to predict a person’s IQ by using the formula $\bg_white S=2\sqrt{I-5}$ , where S is the number of nonsense syllables and I is the person’s IQ. If a person repeats consecutively 17 nonsense syllables, what is the estimated IQ of this person?1 solutions Answer 280322 by ewatrrr(10682)   on 2011-01-15 11:48:49 (Show Source): You can put this solution on YOUR website!  Hi |squaring both sides of the equation (S/2)^2 = I - 5 | 17/2 = 8.5 (8.5)^2 + 5 = I 72.25 + 5 = I 77.25 = I 
 Circles/394948: give the equation of the circle (in standard form) that has the given center and radius length. 1.) (0,0);r=6 2.) (-2,4);r=41 solutions Answer 280302 by ewatrrr(10682)   on 2011-01-15 10:04:55 (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 1.)Center Pt(0,0) and r = 6 x^2 + y^2 = 36 2.)Center Pt(-2,4)and r = 4 (x+2)^2 + (y-4)^2 = 16 
 percentage/394943: pls help me how to compute it into pie graph..its all about getting a percentage in 1st semester.. tuition fee:1600 food:7200 transportation:6720 Projects/school supplies:5400 books:4800 others:35001 solutions Answer 280301 by ewatrrr(10682)   on 2011-01-15 10:01:08 (Show Source): You can put this solution on YOUR website!  Hi Total Cost = $29,220 Listing the decimal forms in an Excel Worksheet Column, highlighting and Inserting "Chart" selecting Pie Chart will give a great presentation. Cannot show that here. These decimals will add up to 1.00 (the whole pie) tuition fee: 1600/29220 = .055 (rounding to nearest thousandths) OR 5.5% of circle food: 7200/29200 = .247 transportation: 6720/29220 = .230 Projects/school supplies: 5400/29220 = .185 books: 4800/29220 = .164 others: 3500/29220 = .120   Age_Word_Problems/394944: Seven years ago a father was 11 times the age of his daughter. Now, he is 4 times his daughters age. What is his age? I have the answer, just can't put a formula to it. Need the formula please. Thank you!1 solutions Answer 280297 by ewatrrr(10682) on 2011-01-15 09:41:48 (Show Source): You can put this solution on YOUR website!  Hi Now, he is 4 times his daughters age Let x and 4x represent daughter and father's ages NOW question States*** 4x - 7 = 11(x-7) |seven years ago... solving for x 4x - 7 = 11x - 77 70 = 7x x = 10, daughter's age now. Father is now 40. (4*10) CHECKING our Answer 33 = 11*3   Travel_Word_Problems/394919: Old MacDonald wants to build a fence to enclose a rectangular yard for his chickens. He plans to use the henhouse for one side of the yard and fence the remaining sides with 410 feet of chicken wire. The two longest sides are five less than three times the width. Find the dimension of the yard.1 solutions Answer 280295 by ewatrrr(10682) on 2011-01-15 09:36:51 (Show Source): You can put this solution on YOUR website!  Hi two longest sides are five less than three times the width Let x and (3x-5) represent the width and length respectively Question states (3x-5) + x + x = 410 ft |using the henhouse as a length of the fence solving for x 5x = 415 ft x = 83 ft, the width. the length is 244ft ( 3*83-5) CHECKING our Answer 244 + 83 + 83 = 410   Probability-and-statistics/394921: A munber is drawn at random from at hat that contain all the numbers from 1 to 100 .What is the prbability that the number is less than 16? 1 solutions Answer 280291 by ewatrrr(10682) on 2011-01-15 09:20:48 (Show Source): You can put this solution on YOUR website!  Hi 100 numbers, of which 15 of them are < 16 P(number <16) = 15/100 = 3/20   Probability-and-statistics/394924: While shooting arrows, William tell can hit an apple 9 out of 10 time.What is the probability that he will be hit exactly 4 out of 7 time?1 solutions Answer 280290 by ewatrrr(10682) on 2011-01-15 09:15:06 (Show Source): You can put this solution on YOUR website!  Hi Note: The probability of x successes in n trials is: P = nCx* where p and q are the probabilities of success and failure respectively. In this case p = .9 and q = .1 nCx = P(exactly 4 out of 7 time) = 35 (.9)^4(.1)^3 = .0229635   Volume/394927: A farmer has 500m of fencing to create a pig pen against his barn wall The enclosed area is 15 625 m square. How long is the pen1 solutions Answer 280288 by ewatrrr(10682) on 2011-01-15 09:09:54 (Show Source): You can put this solution on YOUR website! Hi Let x and (500-2x) represent the width and length of pen Question states*** x(500-2x) = 15625 |area = width*length solving for x 500x - 2x^2 = 15625 2x^2 - 500x + 15625 = 0 x = 36.6m and 213.4m (rounding to nearest tenth and tossing out larger solution) Length of Pen = 500m- 2*36.6m = 426.8m CHECKING our Answer 426.8m + 36.6m + 36.6m = 500m of fencing |pen is against his barn wall   Rectangles/394938: the perimeter of a rectangle is 30 m more than three times its width. if the perimeter is 84 m, find the length and width of the rectangle. 1 solutions Answer 280285 by ewatrrr(10682) on 2011-01-15 08:52:11 (Show Source): You can put this solution on YOUR website!  Hi Let x represent the width and y the length Question states***Write as we Read 3x+30m = 84m x = 18m, the width 2y + 36 = 84m | P = 2*length + 2*width y = 24m, the length   Inequalities/394932: describe the solution of each of the following inequalities by graphing. 1. x-2y>3 2. x+3y-7<0 3. y<-1/2x-1 4. -1/2x+y-1<0 5. x>-y+21 solutions Answer 280283 by ewatrrr(10682) on 2011-01-15 08:36:30 (Show Source): You can put this solution on YOUR website!  Hi Note: the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. I.Putting the Inequality in terms of y gives us slope-intercept format In terms of y Slope y-intercept shaded area x-2y>3 y < x/2 - 3/2 m = 1/2 (0,-3/2) Below line x+3y-7<0 y <-x/3 + 7/3 m = -1/3 (0,7/3) Below line y<(-1/2)x-1 y <(-1/2)x-1 m= -1/2 (0,-1) Below line (-1/2)x+y-1<0 y < x/2 + 1 m = 1/2 (0,1) Below line x>-y+2 y > -x+2 m = -1 (0,2) Above line II. Graph line: Plot the y-intercept Pt and Use slope to find two other points starting from y-intercept Pt III. Shade Area defined by the Inequality (above or Below line) (Note: the inequalities listed here do not include the line) have completed grahing for the first, the remainder are done in the same way. x-2y>3 OR y < x/2-3/2 m = 1/2 (0,-3/2) Below line Note: m = 1/2, as y increases/decreases by 1, x increases/decreases by 2 Solved by pluggable solver: Plot Any Inequality Graphing function :   Percentage-and-ratio-word-problems/394760: . Find the amount owing on a loan of$7400 at the end of 3 years, with interest at 10.9%/annum, compounded monthly. 1 solutions Answer 280131 by ewatrrr(10682)   on 2011-01-14 16:02:32 (Show Source): You can put this solution on YOUR website!  Hi Note: A= p(1-r/n) ^nt amount owing on a loan of 7400,after 3 years: t = 3 with annual interest=0.109 compounded monthly: n =12 r/n = .009 amount owing =7400*(1-0.109/12)^(12*3)= $5328.05   Linear-equations/394781: Find an equation for the line that goes through the point (5,4) and is perpendicular to the line satisfying -5x-5y=-47 what is the actual formula for y as a function of x?1 solutions Answer 280107 by ewatrrr(10682) on 2011-01-14 15:07:54 (Show Source): You can put this solution on YOUR website!  Hi the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept. for ex: -5x - 5y = -47: | y = -x + 47/5 Slope m = -(1/1) LIne perpendicular to it wil have a slope m = 1 (negative reciprocal) New Line: y = 1*x + b |using ordered pair Pt(5,4) to solve for b 4 = 5 + b -1 = b y = x -1   Money_Word_Problems/394772: Charles has a mortgage on his house, with principal$103,500, at 6.75% per annum amortized over 25 years. The house is assessed at $129,500, and the mill rate is 16.3081. Calculate and list his monthly housing costs.1 solutions Answer 280101 by ewatrrr(10682) on 2011-01-14 14:32:25 (Show Source): You can put this solution on YOUR website!  Hi, previously posted M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1] Note: i = .0675/12 = .005625 and (1+i)^n = (1.005625)^300 = 5.38 M = 103500*.005625*5.38/ 4.38 = 715.10, is the mortagage payment Propery Tax = 16.3081*129500/1000 = 2111.90/yr OR 175.99/mo his monthly housing costs = M + PTax = 715.10 + 175.99   Money_Word_Problems/394774: Find the monthly mortgage payment for a mortgage of$93,000 at 7.75% per annum, amortized over 20 years.1 solutions Answer 280100 by ewatrrr(10682)   on 2011-01-14 14:27:32 (Show Source): You can put this solution on YOUR website!  Hi M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1] i = .0775/12 = .006458 (1 + i)n = (1.006458)^240 = 4.6877 M = 93000*.006458*4.6877/3.6877 Many mortgage calulators on line to check Your answer 
 Percentage-and-ratio-word-problems/394764: Charles has a mortgage on his house, with principal $103,500, at 6.75% per annum amortized over 25 years. The house is assessed at$129,500, and the mill rate is 16.3081. Calculate and list his monthly housing costs. 1 solutions Answer 280099 by ewatrrr(10682)   on 2011-01-14 14:18:08 (Show Source): You can put this solution on YOUR website!  Hi M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1] Note: i = .0675/12 = .005625 and (1+i)^n = (1.005625)^300 = 5.38 M = 103500*.005625*5.38/ 4.38 = 715.10, is the mortagage payment Propery Tax = 16.3081*129500/1000 = 2111.90/yr OR 175.99/mo his monthly housing costs = M + PTax = 715.10 + 175.99 
 Equations/394769: (7+9i) + (4-15i) 1 solutions Answer 280091 by ewatrrr(10682)   on 2011-01-14 13:37:27 (Show Source): You can put this solution on YOUR website!  Hi Combining Like terms (7+9i) + (4-15i) 7 + 9i + 4 -15i (7 + 4) +( 9i-15i) 11 - 6i 
 Travel_Word_Problems/394762: find the speed of a train that travels 322 miles in 7 hours.1 solutions Answer 280089 by ewatrrr(10682)   on 2011-01-14 13:35:09 (Show Source): You can put this solution on YOUR website!  Hi Speed in mph = 322mi/7hr = 46mph 
 expressions/394767: 8-3[-2(5-7)-5(4-2)] I need the steps used to solve this algebraic expression please and thankyou. I am getting -30, but I know the answer is 26. If i can see the steps taken to solve the problem it would be much help. Thanks again. 1 solutions Answer 280088 by ewatrrr(10682)   on 2011-01-14 13:32:21 (Show Source): You can put this solution on YOUR website!  Hi Simplify 8-3[-2(5-7)-5(4-2)] |important to work inner parenthesis first 8-3[-2(-2)-5(2)] 8-3[ 4 -10 ] 8-3[ -6 ] 8 + 18 = 26 
 Percentage-and-ratio-word-problems/394763: Find the annual property tax on a property assessed at $197,500, if the mill rate is 11.4898.1 solutions Answer 280087 by ewatrrr(10682) on 2011-01-14 13:26:32 (Show Source): You can put this solution on YOUR website!  Hi The annual property tax = 11.4898*$197,$500/1000 =$2269.24 
 Equations/394758: Choose the equation in slope-intercept form for the line passing through each pair of points. (–1, 3) and (2, –5)1 solutions Answer 280082 by ewatrrr(10682)   on 2011-01-14 13:21:24 (Show Source): You can put this solution on YOUR website!  Hi Using the point-slope formula, to find slope (–1, 3) and (2, –5) m = 3 -(-5) /-1-2 = 8/-3 Slope m = -(8/3) the standard slope-intercept form for an equation of a lineis: y = mx + b where m is the slope and b the y-intercept. y = -(8/3)x + b | using ordered pair Pt(-1,3) to solve for b 3 = 8/3 + b 1/3 = b y = -(8/3)x + 1/3 Note: as y increases/decreases by 8, x value changes by 3 in the opposite direction 
 Quadratic_Equations/394754: The flower garden has the shape of a right triangle. 34 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 14ft longer than the other leg. Find the lenghts of the leg. What are the lenghts of the legs? (use a comma to separate answers as needed)1 solutions Answer 280081 by ewatrrr(10682)   on 2011-01-14 13:13:36 (Show Source): You can put this solution on YOUR website! Hi one leg is 14ft longer than the other leg Let x and (x+14) represent the lengths of the legs Applying the Pytahgorean Theore, x^2 + (x+14ft)^2 = (34ft)^2 solving for x 2x^2 + 28x + 196 = 1156 2x^2 + 28x - 960 = 0 x^2 + 14z - 480 = 0 x = -30 and x = 16 |tossing out negative solution: x = 16 the lengths of the leg are 16ft and 30ft (16ft + 14ft) 
 Quadratic_Equations/394752: Give exact and approximate solutions to three decimal places x^2 + 5x -3 = 0 1 solutions Answer 280076 by ewatrrr(10682)   on 2011-01-14 12:57:57 (Show Source): You can put this solution on YOUR website! Hi x^2 + 5x -3 = 0 x = 0.541 and x = -5.541 
 Graphs/394743: Rewrite the equation y=–2x^2-4x+3 in vertex form. Identify the vertex and the axis of symmetry.1 solutions Answer 280074 by ewatrrr(10682)   on 2011-01-14 12:49:25 (Show Source): You can put this solution on YOUR website!  Hi the vertex form of a parabola, where(h,k) is the vertex y = –2x^2-4x+3 |completing square to put into vertex form y = –2[x+1)^2 -1]+3 y = –2(x+1)^2 +5 Vertex Pt(-1,5) Axis of symmetry is x = -1 
 Equations/394741: Solve the equation. x^2 + 144 = 0 1 solutions Answer 280071 by ewatrrr(10682)   on 2011-01-14 12:36:48 (Show Source): You can put this solution on YOUR website!  Hi Solving the equation: x^2 + 144 = 0 x^2 = -144 x = ± x = ± 12i 
 Human-and-algebraic-language/394627: Please help me solve this word problem, or at least set it up for me to solve. A recent television commercial about cholesterol claimed that by using their pills, at least one individual lowered his cholesterol levels by 18%...a drop of 30 points! What was the original cholesterol level? 1 solutions Answer 280070 by ewatrrr(10682)   on 2011-01-14 12:33:18 (Show Source): You can put this solution on YOUR website!  Hi Let x represent the original cholesterol level question state *** .18x = 30 x = 30/.18 x = 166.67 
 absolute-value/394721: WhaT IS THE PERCENT DECREASE OF A NOTEBOOK COSTING $1,350 ON SALE FOR$1,200? 1 solutions Answer 280067 by ewatrrr(10682)   on 2011-01-14 12:26:27 (Show Source): You can put this solution on YOUR website!  Hi Let x represent the percentage decrease 1350 - x*1350 = 1200 1-x = 1200/1350 x = 1-.889 = .111 or 11.1 % decrease 
 Sequences-and-series/394739: A pizza shop advertises that they have 8 toppings, and they sell large, medium, and small pizzas. On a small pizza, you must choose 3 different toppings. On a medium pizza, you must choose 4 different toppings, and on a large, you must choose 5 different toppings. How many different pizzas can they make? choose the answer and explain the reason to choose your response, the answer has to be one of the following: 475 219 182 657 1 solutions Answer 280064 by ewatrrr(10682)   on 2011-01-14 12:19:40 (Show Source): You can put this solution on YOUR website!  Hi Note: nCx = small = 8C3 different pizzas = 56 medium = 8C4 different pizzas = 70 large = 8C5 different pizzas = 56 Total number of different pizzas = 56 + 70 + 56 
 Triangles/394686: If PQ = 21 cm and QR = 5 cm, then what are the possible lengths for PR so that PQ, QR , and PR can form a triangle? Explain your reasoning.1 solutions Answer 280062 by ewatrrr(10682)   on 2011-01-14 12:14:25 (Show Source): You can put this solution on YOUR website!  Hi third side PR <26cm Note: the sum of the lengths of two sides of a triangle must be greater than 3rd side