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# Recent problems solved by 'Alan3354'

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 test/399739: A 4000 gallon oil truck is loaded1 solutions Answer 283059 by Alan3354(30993)   on 2011-01-25 20:03:43 (Show Source): You can put this solution on YOUR website!What's your question?
 Quadratic_Equations/399725: could you graph f(x0+x^2+12x+36 using a table1 solutions Answer 283058 by Alan3354(30993)   on 2011-01-25 20:02:40 (Show Source): You can put this solution on YOUR website!No, I couldn't. There's no equal sign.
 Radicals/399773: 3x2=271 solutions Answer 283057 by Alan3354(30993)   on 2011-01-25 20:01:26 (Show Source): You can put this solution on YOUR website!Do you have a question? ----------- PS 3 times 2 is not 27.
 Expressions-with-variables/399692: The sum of two numbers is 15, and their differences is 3. What are the numbers? The directions say...Solve, using two equations in two variables. 1 solutions Answer 283030 by Alan3354(30993)   on 2011-01-25 18:27:13 (Show Source): You can put this solution on YOUR website!x & y are the numbers ---------- x + y = 15 x - y = 3 ------------ Add 2x = 18 x = 9 You can finish it.
 Linear-equations/399632: Find the slope-intercept form of the line passing through the point (5, 2) and parallel to the line y = − 2x + 3.1 solutions Answer 283027 by Alan3354(30993)   on 2011-01-25 18:21:45 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
 Radicals/399680: simplifying radicals without a calculator 8 12 50 1 solutions Answer 283023 by Alan3354(30993)   on 2011-01-25 18:19:07 (Show Source): You can put this solution on YOUR website!No radicals are shown.
 Pythagorean-theorem/399685: if you add 4 to each part of the Pythagorean theorem will your answer be the same? Ex. a^2+4+b^2+4=c^2+4 Or will it be the same if you multiply each part by two? 2a^2+2b^2=2c^21 solutions Answer 283022 by Alan3354(30993)   on 2011-01-25 18:18:12 (Show Source): You can put this solution on YOUR website!If you do the same thing on both side of the equal sign, it's still equal.
 Numeric_Fractions/399688: -2/3+y=-3/41 solutions Answer 283021 by Alan3354(30993)   on 2011-01-25 18:17:14 (Show Source): You can put this solution on YOUR website!What's your question?
 Quadratic_Equations/399686: find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y=-2x^2 - 8x +31 solutions Answer 283019 by Alan3354(30993)   on 2011-01-25 18:16:01 (Show Source): You can put this solution on YOUR website!y=-2x^2 - 8x +3 The eqn of the axis of symmetry is x = -b/2a x = 8/-4 x = -2 -------------- The vertex is (x,f(x)) f(-2) = -2*4 + 16 + 3 = 11 = (-2,11)
 Evaluation_Word_Problems/399682: Hi! Can you please help me with the following word problem: substitution? John earned \$240 in the summer by working at a fast food restraunt and baby-sitting. If he earned five times as much in the restraunt as he did baby-sitting, how much did he earn at each job? I need an equation for it Like, I sorta started it by saying F-fastfood and B-babysitting So, would it be F+B=240? I'm not sure if its right and I need to solve it too. Thanks! :)1 solutions Answer 283016 by Alan3354(30993)   on 2011-01-25 18:12:05 (Show Source): You can put this solution on YOUR website!John earned \$240 in the summer by working at a fast food restraunt and baby-sitting. If he earned five times as much in the restraunt as he did baby-sitting, how much did he earn at each job? I need an equation for it Like, I sorta started it by saying F-fastfood and B-babysitting So, would it be F+B=240? ---------------- let f and b be the pay rate for food and baby-sitting f = 5b f + b = 240 ----------- Sub for f 5b + b = 240 6b = 240 b = \$40 f = \$200 ---------- You were going the right way.
 Word_Problems_With_Coins/399678: a business executive bought 40 stamps for \$14.40. the purchase included .39 stamps and .24 stamps. How many of each type of stamp sold?1 solutions Answer 283014 by Alan3354(30993)   on 2011-01-25 18:06:39 (Show Source): You can put this solution on YOUR website!a business executive bought 40 stamps for \$14.40. the purchase included .39 stamps and .24 stamps. How many of each type of stamp sold? -------------------------- t = 39 cent stamps c = 24 cent stamps ------------- t + c = 40 39t + 24c = 1440 ------------- Can you finish it? -------------------- PS He's not much of a business man if he's buying his own stamps, and doesn't have a postage meter. He won't be in business for long.
 Functions/399674: help me solve x+y3=271 solutions Answer 283012 by Alan3354(30993)   on 2011-01-25 18:03:29 (Show Source): You can put this solution on YOUR website!Solve for what?
 Functions/399676: 1 solutions Answer 283008 by Alan3354(30993)   on 2011-01-25 18:00:03 (Show Source): You can put this solution on YOUR website! What's your question?
 Volume/399663: V= 1/3 pi r^2 h height is 24 and radius is 10, solve the equation. 1 solutions Answer 283007 by Alan3354(30993)   on 2011-01-25 17:59:10 (Show Source): You can put this solution on YOUR website!Sub 24 for h and 10 for r. Find V
 Expressions-with-variables/399650: I need to solve. -5x>3.0 ( the > has a line under it)1 solutions Answer 282999 by Alan3354(30993)   on 2011-01-25 17:41:41 (Show Source): You can put this solution on YOUR website!-5x>3.0 ( the > has a line under it) The line under means greater than or equal to ------- -5x >= 3 x <= -0.6
 Equations/399652: Solve . Write your solution using set builder notation. Please show all of your work. X+2 >Or = to -3/11 MAY I GET A HAND SOMEONE!!1 solutions Answer 282994 by Alan3354(30993)   on 2011-01-25 17:36:22 (Show Source): You can put this solution on YOUR website!Your question is not clear.
 Rational-functions/399590: what is the y intercept in this liner equation y=-4x+41 solutions Answer 282954 by Alan3354(30993)   on 2011-01-25 15:53:45 (Show Source):
 Radicals/399509: use the FOIL method to find the product (2x^3-7)(x^6-2)1 solutions Answer 282953 by Alan3354(30993)   on 2011-01-25 15:53:25 (Show Source):
 Functions/399587: How do i solve g(4x) when g(x)= x+1.1 solutions Answer 282951 by Alan3354(30993)   on 2011-01-25 15:51:30 (Show Source): You can put this solution on YOUR website!There's nothing to solve. Solve for what?
 Graphs/399535: Solve the compound inequality Please. I have been trying and I can not seem to figure out how to set the problem up to solve it. (2x-1)/(4)<=-4 or (2x-1)/(4)>=91 solutions Answer 282912 by Alan3354(30993)   on 2011-01-25 14:25:16 (Show Source): You can put this solution on YOUR website!(2x-1)/(4)<=-4 2x-1 <= -16 2x <= -15 x <= - 7.5 ------------ or (2x-1)/(4)>=9 2x-1 >= 36 2x >= 37 x >= 18.5 ----------- x <= -7.5 or x >= 18.5
 Geometry_Word_Problems/399538: A student insists on finding a common denominator by always multiplying the denominators of the expressions being added. How could this approach be improved? 1 solutions Answer 282911 by Alan3354(30993)   on 2011-01-25 14:22:50 (Show Source): You can put this solution on YOUR website!Define "improved"
 Rectangles/399513: why does a square 45x45 have more sqaure footage than a rectangle 30x60. both could be made from the same two 90' pieces1 solutions Answer 282909 by Alan3354(30993)   on 2011-01-25 14:20:14 (Show Source): You can put this solution on YOUR website!The simplest answer is that 45*45 is more than 30*60. For a given perimeter (180 would make a 45 by 45, not 90) the max area of a rectangle is a square. ------------ For a perimeter of 180 P = 2W + 2L = 180 w + L = 90 Area = W*L = W*(90 - W) To find the max area as a function of W: f(W) = w(90 - W) = 90W - W^2 90W - W^2 - area = 0 -W^2 + 90W - area = 0 This is a parabola that is open downward. The line of symmetry is W = -b/2a = -90/-2 = 45 The max is on the line of symmetry: f(45) = 90*45 - 45^2 = 4050 - 2025 Max area = 2025 sq units W = 45 L = 90-45 = 45 ------------ Any other pair that add to 90 will have a smaller product. It will be (45 + x)*(45 - x) = 2025 - x^2 For any x > 0, it will be less than 2025. -------------------- Note: 2025 is the max area of a rectangle with a perimeter of 180. A circle will have the max area of all figures.
 Numbers_Word_Problems/399489: Find two consecutive odd integers such that their sum is 36 and their product is 323. 1 solutions Answer 282884 by Alan3354(30993)   on 2011-01-25 13:06:02 (Show Source): You can put this solution on YOUR website!323 has only 2 factors. 323 = 17*19
x^2-x=-9
the solution set is {_}
T
ype an exact answer,using radicals as needed. Express complex numbers in terms of i. Use intergers or fractions for any numbers in the expression. Use comas to seperate answers as needed.
1 solutions

Answer 282883 by Alan3354(30993)   on 2011-01-25 13:03:52 (Show Source):
You can put this solution on YOUR website!
x^2-x=-9

 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -35 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -35 is + or - . The solution is , or Here's your graph:

 Number-Line/399505: Which fraction is between 3/4 and 1 on a number line?1 solutions Answer 282882 by Alan3354(30993)   on 2011-01-25 13:02:31 (Show Source): You can put this solution on YOUR website!There are an infinite number of them. 7/8, 15/16, 99/100, 23/25 etc
 Age_Word_Problems/399410: The ages of Whitney, Wesley, and Wanda are consecutive integers. The sum of their ages is 108. What are their ages?1 solutions Answer 282849 by Alan3354(30993)   on 2011-01-25 10:48:25 (Show Source): You can put this solution on YOUR website!108/3 = 36, the middle integer --> 35, 36 & 37 ---------------- If you need to do it the "hard way", n = middle integer (n-1) + n + (n+1) = 108 3n = 108 n = 36, etc
 Travel_Word_Problems/399430: a car travleled 300 miles in 4 2/7 hours.how many mile per hour did the car travel?1 solutions Answer 282847 by Alan3354(30993)   on 2011-01-25 10:44:39 (Show Source): You can put this solution on YOUR website!300/(4 2/7) = 300/(30/7) = 300*7/30 = 70 mph ------------------ How, and why, did anyone measure a 7th of an hour?
 Miscellaneous_Word_Problems/399156: I am a home educator who is having trouble with a word problem using two variables-digit problems. Find a three-digit number whose units digit is 3 times its hundreds digit and 2 times its tens digit, and the sum of whose digits is 11. Do they mean that u=3(100h) and u is also equal to 2(10h)? h+t+u=11 That's as far as I have gotten. Help!1 solutions Answer 282719 by Alan3354(30993)   on 2011-01-24 20:55:33 (Show Source): You can put this solution on YOUR website!I am a home educator who is having trouble with a word problem using two variables-digit problems. Find a three-digit number whose units digit is 3 times its hundreds digit and 2 times its tens digit, and the sum of whose digits is 11. --------------- h + t + u = 11 u = 3h u = 2t --------- h = u/3 t = u/2 Sub for h & t u/3 + u/2 + u = 11 2u + 3u + 6u = 66 11u = 66 u = 6 --------- h = 2 t = 3 --> 236 ------------------- Do they mean that u=3(100h) and u is also equal to 2(10h)? h+t+u=11
 Money_Word_Problems/399209: As of November 2004, the population of the United States was 2.949 x 10^8, and the national debt was 7.529 x 10^12 dollars. How much was each person's share of the debt?1 solutions Answer 282713 by Alan3354(30993)   on 2011-01-24 20:45:30 (Show Source): You can put this solution on YOUR website!As of November 2004, the population of the United States was 2.949 x 10^8, and the national debt was 7.529 x 10^12 dollars. How much was each person's share of the debt? ------------ 7.529E12/2.949E8 =~ 2.553067E4 = \$25,530.67
 test/399230: I need help1 solutions Answer 282709 by Alan3354(30993)   on 2011-01-24 20:41:33 (Show Source): You can put this solution on YOUR website!Me too.
 Expressions-with-variables/399119: V = h/e v - E/e, for e1 solutions Answer 282648 by Alan3354(30993)   on 2011-01-24 19:17:04 (Show Source): You can put this solution on YOUR website!The expression is ambiguous. Parentheses are free, use some.