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# Recent problems solved by 'ewatrrr'

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 Expressions-with-variables/445082: what is the solutions of these systems if any? 1) x+7y=62 and -x+2y=10 2) 3x+4y=12 and -3x+y=33 3)4x-8y=1 and 4x-8y=21 solutions Answer 306690 by ewatrrr(10682)   on 2011-05-04 17:05:29 (Show Source): You can put this solution on YOUR website!``` Hi 1) x+7y=62 and -x+2y=10 9y = 72, y = 8 and x = 6, (6,7) the solution 2) 3x+4y=12 and -3x+ y=33 5y = 45, y = 9 and x = -8 (12-4*9)/3 ) (-8,9) the solution 3)4x-8y=1 and 4x-8y=2 4x-8y= 1 -4x+8y= -2 |Multiplying 2nd Eq thru by -1 0 ≠ -1 there is NO solution ```
 Probability-and-statistics/444940: The Consumer Price Index in June 2006 was 159.3 (1982-84 = 100). What does this indicate about prices from 1982-84 to June 2006? A. Rose 59.3% B. Rose 100.0% C. Rose 159.3% D. Declined 159.3% 1 solutions Answer 306611 by ewatrrr(10682)   on 2011-05-04 12:14:44 (Show Source): You can put this solution on YOUR website!``` Hi june 2006/1982-84 = = Rose 159.3% ```
 Quadratic-relations-and-conic-sections/444456: need help with this question. Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (1,-8), (1,-2) foci: (1,-10),(1,0) 1 solutions Answer 306579 by ewatrrr(10682)   on 2011-05-04 09:21:02 (Show Source): You can put this solution on YOUR website!``` Hi, Previously Posted Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. vertices: (1,-8), (1,-2) b = 6/2= 3 then Center is (1,-5) foci: (1,-10),(1,0) a^2 = 16 ```
 Quadratic-relations-and-conic-sections/444459: find the center and foci of the hyperbola. (y-3)2 - (x+7)2=1 ______ _____ 4 121 solutions Answer 306577 by ewatrrr(10682)   on 2011-05-04 09:14:40 (Show Source): You can put this solution on YOUR website!``` Hi, Previously Posted Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. Center(-7,3) Foci distance from center = Foci are (-7,7) and (-7,-1) ```
 Quadratic-relations-and-conic-sections/444731: need help. Find the standard form of the equation of the hyperbola with the given characteristics vertices (1,-8),(1,-2) foci (1,-10), (1,0)1 solutions Answer 306576 by ewatrrr(10682)   on 2011-05-04 09:12:37 (Show Source): You can put this solution on YOUR website!``` Hi, Previously Posted Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. vertices: (1,-8), (1,-2) b = 6/2= 3 then Center is (1,-5) foci: (1,-10),(1,0) a^2 = 16 ```
 Quadratic-relations-and-conic-sections/444727: Find the standard form of the equation of the hyperbola with the given characteristics. vertices (0,+-5) foci (0,+-7) 1 solutions Answer 306575 by ewatrrr(10682)   on 2011-05-04 09:09:11 (Show Source): You can put this solution on YOUR website!``` Hi, Previously Posted Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. vertices: vertices: (0,+-5) b = 5 AND Center is (0,-0) foci: (0,+-7) a^2 = 24 (25+24 =49) ```
 Quadratic-relations-and-conic-sections/444844: need help with this question. Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,+-5) foci: (0,+-7) 1 solutions Answer 306573 by ewatrrr(10682)   on 2011-05-04 09:07:57 (Show Source): You can put this solution on YOUR website!``` Hi Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. vertices: vertices: (0,+-5) b = 5 AND Center is (0,-0) foci: (0,+-7) a^2 = 24 (25+24 =49) ```
 Quadratic-relations-and-conic-sections/444845: need help with this question. Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (1,-8), (1,-2) foci: (1,-10),(1,0) 1 solutions Answer 306572 by ewatrrr(10682)   on 2011-05-04 09:01:12 (Show Source): You can put this solution on YOUR website!``` Hi Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. vertices: (1,-8), (1,-2) b = 6/2= 3 then Center is (1,-5) foci: (1,-10),(1,0) a^2 = 16 ```
 Quadratic-relations-and-conic-sections/444847: please help with this question. find the center and foci of the hyperbola. (y-3)2 - (x+7)2=1 ______ _____ 4 121 solutions Answer 306570 by ewatrrr(10682)   on 2011-05-04 08:52:58 (Show Source): You can put this solution on YOUR website!``` Hi Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. Center(-7,3) Foci distance from center = Foci are (-7,7) and (-7,-1) ```
 Polynomials-and-rational-expressions/444835: Can someone please help me with the problem below? I posted this last night but I had left out part of the equation. I need help desperately I am no good at doing graphs. If possible can you show me how you worked it? Thank you all so much for what you do. Maximum Heart Rate When exercising, people often try to maintain target heart rates that are a percentage of their maximum heart rate. Maximum heart rate R is R=220- A, where A is the person’s age and R is the heart rate in beats per minute. (a) Find R for a person 20 years old and 70 years old. (b) Sketch a graph of Assume that A is between 20 and 70 and put A on the horizontal axis of your graph. (c) Interpret your graph. 1 solutions Answer 306566 by ewatrrr(10682)   on 2011-05-04 08:38:54 (Show Source): You can put this solution on YOUR website! ``` Hi Maximum heart rate R is R=220- A, where A is the person’s age and R is the heart rate in beats per minute. R(20) = 220-20 = 200 R(70) = 220-70 = 150 Ordered pairs (70,150) and (20,200) m = -50/50 = -1 |Using the point-slope formula, 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. As stated: R = -A + 220 Plot (70,150) and (20,200)and connect with line. Graph says as age increases, that Maximum heart rate number decreases ```
 Quadratic-relations-and-conic-sections/444284: Solve the system of equations. Give graphical support by making a sketch. (x^2/4) + (y^2/9) = 1 x + y = 31 solutions Answer 306365 by ewatrrr(10682)   on 2011-05-03 16:13:06 (Show Source): You can put this solution on YOUR website! ``` Hi Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center and a and b are the respective vertices distances from center. and x^2/4 + (x^2 - 6x + 9)/9 = 1 9x^2 + 4x^2-24x+36 = 36 13x^2 -24x = 0 x(13x -24) = 0 x = 0 and x = 24/13 (0,3) and (24/13,15/13) the solutions for this system ```
 Quadratic-relations-and-conic-sections/444286: Write the equation in standard form for an ellipse centered at (h,k). Identify the center and the vertices. 4x^2 + 8x + y^2 + 2y + 1 = 01 solutions Answer 306364 by ewatrrr(10682)   on 2011-05-03 16:06:20 (Show Source): You can put this solution on YOUR website! ``` Hi Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center and a and b are the respective vertices distances from center. 4x^2 + 8x + y^2 + 2y + 1 = 0 4(x+1)^2 -4 + (y+1)^2 -1 +1 = 0 4(x+1)^2 + (y+1)^2 = 4 sqrt(4-1) = sqrt(3) = 1.732 Center (-1,-1) foci (-1, -2.732) and (-1,.732) ```
 Quadratic-relations-and-conic-sections/444457: need help with this question. Find the standard form of the equation of the ellipse with the given characteristics. foci (2,5),(2,11) endpoints of the major axis: (2,4),(2,12)1 solutions Answer 306361 by ewatrrr(10682)   on 2011-05-03 15:58:07 (Show Source): You can put this solution on YOUR website! ``` Hi Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center and a and b are the respective vertices distances from center. endpoints of the major axis: (2,4),(2,12) 12-4 = 8/2 b = 4 Center( 2,8) foci (2,5),(2,11) f = 3 a^2 = 7 ```
 Quadratic-relations-and-conic-sections/444437: Need help with this question. Find the center and foci of the ellipse. (x+5)2 + (y+1)2=1 ___________________ 11 361 solutions Answer 306352 by ewatrrr(10682)   on 2011-05-03 15:45:49 (Show Source): You can put this solution on YOUR website! ``` Hi Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center and a and b are the respective vertices distances from center. f = sqrt(36-11) = sqrt(25) = 5 Center(-5,-1) and foci are (-5, -6) and (-5,4) ```
 Quadratic-relations-and-conic-sections/444440: Need help with this question. Find the standard form of the equation of the ellipse with the following characteristics. foci: (+9,0) major axis of length: 24 1 solutions Answer 306350 by ewatrrr(10682)   on 2011-05-03 15:37:14 (Show Source): You can put this solution on YOUR website! ``` Hi Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center and a and b are the respective vertices distances from center. foci: (+9,0) major axis along the x=axis major axis of length: 24 2a = 24 a = 24/2 = 12 f = sqrt(144-b^2) = 9 b^2 = 63 ```
 Exponential-and-logarithmic-functions/444436: I have to solve the equation, using properties of logarithms. ln x- ln(x-1)= 2 Thank you so much if you can help me. 1 solutions Answer 306349 by ewatrrr(10682)   on 2011-05-03 15:21:43 (Show Source): You can put this solution on YOUR website! ``` Hi ln x- ln(x-1)= 2 ln (x/(x-1) = 2 e^2 = x/(x-1) 7.389 = x/(x-1) 7.389(x-1) = x 6.389x = 7.389 x = 1.1565 ```
 Money_Word_Problems/444430: 15. You invest \$1,000.00 in one account and \$4,000.00 in another account. Both accounts have the same interest rate over the same amount of time. How will the interest earned compare? 1 solutions Answer 306347 by ewatrrr(10682)   on 2011-05-03 15:17:08 (Show Source): You can put this solution on YOUR website! ``` Hi You invest \$1,000.00 in one account and \$4,000.00 in another account. Both accounts have the same interest rate over the same amount of time. How will the interest earned compare? Interest earned on the \$4000 account will be 4 times that earned on the \$1000 account Note: \$4,000 = *\$1,000 ```
 Geometry_Word_Problems/444429: A flagpole casts a shadow 10 ft long. If a man 6 ft tall casts a shadow of 4 ft long at the same time of day, how tall is the flagpole?1 solutions Answer 306346 by ewatrrr(10682)   on 2011-05-03 15:13:13 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent how tall the flagpole is Question Sets Up the Proportion |Cross Multiplying 4x = 60 x = 15ft tall CHECKING our Answer*** 15/10 = 6/4 = 3/2 ```
 logarithm/444417: 2^(3x-5)= 161 solutions Answer 306345 by ewatrrr(10682)   on 2011-05-03 15:09:37 (Show Source): You can put this solution on YOUR website! ``` Hi 2^(3x-5)= 16 2^(3x-5)= 2^4 3x-5 = 4 3x = 9 x = 3 ewatrrr@aol.com private/pay tutoring Inquiries only, please. ```
 Graphs/444378: I know this is relatively easy, but I need to know if I'm correct on this graphing question. Click the link below to see the actual graph. Thank you! Homework problem: The pie graph below shows the time Debbie spent on her homework for each subject last week. On which class did she spend almost 1/4 of her time studying? http://i613.photobucket.com/albums/tt214/Gabbycrts/image0164c7cb0e9.gif Is it History? 1 solutions Answer 306344 by ewatrrr(10682)   on 2011-05-03 15:06:47 (Show Source): You can put this solution on YOUR website! ``` Hi On which class did she spend almost 1/4 of her time studying? 1/4 = .25 or 25% You are exactly correct, it would be the history at 24% ```
 Polynomials-and-rational-expressions/444210: I have a test tomorrow and I dont know how to solve this: factor 12(x+1)squared+60(x+1)+75 Overall I dont know how to factor those kind of polynomials where I need to go over several steps.1 solutions Answer 306285 by ewatrrr(10682)   on 2011-05-03 09:05:57 (Show Source): You can put this solution on YOUR website! ``` Hi Let z = (x+1) z = -60/24 = -5/2 therefore x = -7/2 (x = z -1) ```
 test/444229: Jamie was making a pattern based on halving. the first three numbers were: 64 32 16 what was the first number in the pattern that was less than 1? 1 solutions Answer 306281 by ewatrrr(10682)   on 2011-05-03 08:52:04 (Show Source): You can put this solution on YOUR website! ``` Hi {64,32,16,8,4,2,1,,...} ```
 test/444231: please help me. Complete this number pattern. 125 25 ____ 1 _____ ?1 solutions Answer 306280 by ewatrrr(10682)   on 2011-05-03 08:48:36 (Show Source): You can put this solution on YOUR website! ``` Hi Noticing {125,25,,1,} ```
 Rational-functions/444213: How Do I Find Any Restricions on the varible.. for example im going to give you 3 random problems and one from my homework.. were learning something like this: x^2 +7x +12 / x^2-9 : its random numbers .. do i simplify?, i dont understand? this one is Alittle Harder this is from my homework because i dont understand this one . i did the rest butt this is a challengeing one he said : (x+3)(2x-1) / x(x+4) Divided by (-x-3)(2x+1) / x i guess i dont understand because i guess it had the divistion in the middle,, then we have minus and plus. x^2-1/x^2+2x-3 - X-1/x^2-4 and ill use 2 4 and 1 for this + problem: x(x+4)/x-2 + X-1/X^2-4 Please help me this is my last hope i tried with my other answers and got them but i feel i need more practice and the one with the division is the only on i didn't do on my homework. please 1 solutions Answer 306277 by ewatrrr(10682)   on 2011-05-03 08:43:20 (Show Source): You can put this solution on YOUR website! ``` Hi Finding Any Restrictions Note: generally the restrictions would be when the DENOMINATOR = 0 as there can be NO zero in a denominator Restrictions: x≠ 3 and x≠ -3 Restrictions: x≠ 0, -4,-3,-1/2 Restrictions: x≠ 2, -2 Note: x^2-4 = (x-2)(x+2) ```
 Rational-functions/444212: I dont knw how to solve the equations and check them : help? My Teacher Gave me 50 probelms of these . i am only asking to do those so maybe after i knw how to do the rest of the 45 problems 1. x/2=x+1/4 --> have to solve and check I tryed to like elimate the bottom to like 2 because 2 can go into 4 so i thought the bottom woulve be 2 then i thought the top would be x^2+1 soo maybe the answer would be x^2+1/2? 2. 3/x-1=4/3x+2 ^^ 3. 3x/x+1=0 ^^ 4.3/x-1=1/x^2-1 Please Help me this is 75% of my grade AND its not even a test :(1 solutions Answer 306273 by ewatrrr(10682)   on 2011-05-03 08:21:04 (Show Source): You can put this solution on YOUR website! ``` Hi 1,2 and 4 Set Up for Cross Multiplying to solve: 4x = 2(x+1) 2x = 2 x = 1 3(3x+2) = 4(x-1) 5x = -10 x = -2 3(x^2-1) = (x-1) 3x^2 - x -2 = 0 factoring (3x+2)(x-1) = 0 (3x+2)= 0 x = -2/3 (x-1)= 0 x = 1 3. 3x/(x+1) = 0 x = 0 would work ```
 Quadratic_Equations/443834: Find the axis of symmetry for y=x^2-2. Find the vertex for y=x^2-2. Thank you! 1 solutions Answer 306125 by ewatrrr(10682)   on 2011-05-02 16:51:30 (Show Source): You can put this solution on YOUR website!``` Hi Note: vertex form of a parabola, where(h,k) is the vertex axis of symmetry for y=x^2-2 is the y-axis the vertex for y=x^2-2 is Pt(0,-2) ```
 Quadratic_Equations/443915: What is the equation in point-slope form of the line passing through (0, 5) and (–2, 11)? 1 solutions Answer 306121 by ewatrrr(10682)   on 2011-05-02 16:46:23 (Show Source): You can put this solution on YOUR website! ``` Hi Using the point-slope formula, (0, 5) and (–2, 11) m = -6/2 = -3 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. y = -3x + b 5 = -3*0 + b 5 = b y = -3x+5 ```
 Graphs/443918: What is the slope of the line that passes through (2, 5) and (–1, 5)? 1 solutions Answer 306120 by ewatrrr(10682)   on 2011-05-02 16:41:44 (Show Source): You can put this solution on YOUR website! ``` Hi Using the point-slope formula, (2, 5) and (–1, 5 m = 0/3 = 0 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. y = 0*x + b 5 = b y = 5 ```
 Travel_Word_Problems/443913: suppose a train travels 20 miles faster than a car. If the car covers 90 miles in the same time a train covers 120 miles what is the speed of each? 1 solutions Answer 306119 by ewatrrr(10682)   on 2011-05-02 16:38:38 (Show Source): You can put this solution on YOUR website! ``` Hi train travels 20 miles faster than a car. Let x and (x+20) represent speed of car and train respectively Question states*** Note: D = r*t OR t= D/r |Cross Multiplying for solving 120c = 90(x+20) 30x = 180 x = 60mph, speed of car. The speed pf the train is 80mph (60mph+20mph) CHECKING our Answer*** 90/60 = 120/80 = 3/2 ewatrrr@aol.com private/pay tutoring Inquiries only, please. ```
 Graphs/443479: Factor Completely 4w^2-9w+51 solutions Answer 306116 by ewatrrr(10682)   on 2011-05-02 16:33:06 (Show Source): You can put this solution on YOUR website!``` Hi Factor Completely 4w^2-9w+5 (4w-5)(w-1) Note:SUM of the outside terms(-4w) and the inside terms(-5w) = -9w F First terms O Outside terms I Inside terms L Last terms ```
 Graphs/443399: need help with solving this equation with graphing please. {y=-4x-5 y=-x-5} mountlace@msn.com1 solutions Answer 306114 by ewatrrr(10682)   on 2011-05-02 16:29:14 (Show Source): You can put this solution on YOUR website!``` Hi find points by choosing x-values and determining the y-values y = -4x-5 Points (0-5), (-1,-1) and (-2,3) on this line (blue) y = x - 5 Points (0-5), (1,-4) and (2,-3) on this line (green) Lines intersect at Pt(0,-5) This ordered pair is the solution for this system Plot points, connect with the corresponding lines ```