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# Recent problems solved by 'user_dude2008'

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 Functions/274931: 1. Determine the domain of f in f(x) = 10 - square root of 3 -x 2. What is the function which would intersect the y-axis 2 positions up (vertical) from the function F(x)=x^2? 3. For f(x) = 4x+1 and g(x)=x^2-2x-4 find (g-f)(x)1 solutions Answer 200587 by user_dude2008(1861)   on 2010-02-27 15:43:52 (Show Source): You can put this solution on YOUR website!1. 3-x >= 0 ---> x <= 3 Domain: (-infinity, 3] 2. Function is G(x)=x^2+2 3. (g-f)(x)=(x^2-2x-4)-(4x+1)=x^2-2x-4-4x-1=x^2-6x-5
 Polynomials-and-rational-expressions/274929: Swimming space. The length of a rectangular swimming pool is 2x - 1 meters, and the width is x+ 2 meters. Write a polynomial A(x) that represents the area. Find A(5).1 solutions Answer 200585 by user_dude2008(1861)   on 2010-02-27 15:41:23 (Show Source):
 Linear-systems/274922: solve using the substitution method: 2(x-y)=3+x, x=3y+41 solutions Answer 200582 by user_dude2008(1861)   on 2010-02-27 15:39:11 (Show Source): You can put this solution on YOUR website!2(x-y)=3+x 2(3y+4-y)=3+3y+4 2(2y+4)=3y+7 4y+8=3y+7 4y-3y=7-8 y=-1 x=3y+4=3(-1)+4=-3+4=1 Answers: x=1, y=-1
 Graphs/274928: How do you go about writing the following equation in standard form with integer coefficients: . Thank you.1 solutions Answer 200578 by user_dude2008(1861)   on 2010-02-27 15:33:03 (Show Source): You can put this solution on YOUR website!x+2y-4=0 ----> x+2y=4 Answer: x+2y=4
 Numeric_Fractions/274850: 5(2q+3)p-4(p-1)=1 solutions Answer 200577 by user_dude2008(1861)   on 2010-02-27 15:31:53 (Show Source): You can put this solution on YOUR website!5(2q+3)p-4(p-1)=10pq+15p-4p+4=10pq+11p+4
 Probability-and-statistics/274893: If a couple plans to have 10 children how many gender sequences are possible?1 solutions Answer 200575 by user_dude2008(1861)   on 2010-02-27 15:30:50 (Show Source): You can put this solution on YOUR website!There are possible sequences
 decimal-numbers/274899: Write 9.3 x in decimal form. Can you please help me with this? Thank you1 solutions Answer 200571 by user_dude2008(1861)   on 2010-02-27 15:26:27 (Show Source):
 Linear-systems/268813: How do you solve: Solve the following system graphically. Sketch the graphs and label the point of intersection. State the solution of the system. 2x-y= 4 x+3y= 9 Thank you1 solutions Answer 197103 by user_dude2008(1861)   on 2010-02-12 15:30:07 (Show Source): You can put this solution on YOUR website!First Graph 2x-y= 4 ---> y = 2x-4 x+3y=9 ---> y = -(1/3)x+3 Intersection: (3,2) ----> solutions: x=3, y=2
 Functions/268973: 2x over y minus 4z X=9 y=3 z= -11 solutions Answer 197100 by user_dude2008(1861)   on 2010-02-12 15:27:13 (Show Source): You can put this solution on YOUR website!(2x)/(y-4z)=(2*9)/(3-4(-1)) = 18/(3+4) = 18/7 Answer: (2x)/(y-4z)=18/7
 Polynomials-and-rational-expressions/268822: Hello, I would like to know how to solve the problem (in words since I could not type in exponents and fractions on my iPhone.) 9x squared over x-squared minus 25 + 4x over 5 minus x = x over x + 5. I know how to factor out the common denominator (x+5)(x-5) - right?but I am stuck on the rest. I would prefer the question to be answered including steps, by tomorrow (February 12, 2010) at 8:00 am. Thanks in advance! ~S.N. 1 solutions Answer 197097 by user_dude2008(1861)   on 2010-02-12 15:26:00 (Show Source): You can put this solution on YOUR website! or or Answers: or
 Polynomials-and-rational-expressions/268636: When a polynomial is not factorable what is it called? Why? Give example.1 solutions Answer 196852 by user_dude2008(1861)   on 2010-02-11 18:05:59 (Show Source): You can put this solution on YOUR website!It's called a Prime Polynomial.
 Polynomials-and-rational-expressions/268628: Solve the following: (2f+5)^21 solutions Answer 196851 by user_dude2008(1861)   on 2010-02-11 18:05:24 (Show Source): You can put this solution on YOUR website!(2f+5)^2=4f^2+20f+25
 Inequalities/268631: 7<3x+16<461 solutions Answer 196850 by user_dude2008(1861)   on 2010-02-11 18:04:04 (Show Source): You can put this solution on YOUR website!7<3x+16<46 7-16<3x<46-16 -9<3x<30 -9/3 < x < 30/3 -3 < x < 10 Answer: -3 < x < 10
 Linear-equations/268646: y=4x-5 graph linear equation1 solutions Answer 196849 by user_dude2008(1861)   on 2010-02-11 18:02:13 (Show Source):
 Linear-equations/268647: solve equation for y then graph equation 2x+y=-31 solutions Answer 196848 by user_dude2008(1861)   on 2010-02-11 18:01:31 (Show Source): You can put this solution on YOUR website!2x+y=-3 ----> y=-2x-3 Graph
 logarithm/268643: If logb2 = a and logb3 = c I need to find the properties of logarithms to find the following logb(72b) Any help would be greatly appreciated!1 solutions Answer 196847 by user_dude2008(1861)   on 2010-02-11 18:00:50 (Show Source): You can put this solution on YOUR website!, , and Answer:
 Average/266410: Fifteen people took part in a free-throw competition. The first participant scored x points, the second scored y points, the third scored the arithmetic mean of the number of points scored by the first two, and each subsequent competitor scored the arithmetic mean of the number of points scored by all previous ones. How many points did the last competitor score? (A) (x+y)/2 (B) 12(x+y)/14 (C) 13(x+y)/15 (D) 14(x+y)/16 (E) none of these 1 solutions Answer 195736 by user_dude2008(1861)   on 2010-02-06 19:35:29 (Show Source): You can put this solution on YOUR website!(x+y+(x+y)/2)/3 = ((3x+3y)/2)/3 = (3x+3y)/6 = (x+y)/2 Answer: A)
 expressions/266341: (evaluate)yz + xy - z for x=2,y=4,z=11 solutions Answer 195735 by user_dude2008(1861)   on 2010-02-06 19:34:18 (Show Source): You can put this solution on YOUR website!yz+xy-z=4*1+2*4-1=11
 Length-and-distance/266403: multiply. (y^2-7)(3y^2-8y+7) 1 solutions Answer 195734 by user_dude2008(1861)   on 2010-02-06 19:33:14 (Show Source): You can put this solution on YOUR website!(y^2-7)(3y^2-8y+7) = y^2(3y^2-8y+7) - 7(3y^2-8y+7) = 3y^4-8y^3-14y^2+56y-49
 Polynomials-and-rational-expressions/266386: add (5x^2-xy+y^2)+(-x^2-7xy+9y^2)1 solutions Answer 195733 by user_dude2008(1861)   on 2010-02-06 19:31:43 (Show Source): You can put this solution on YOUR website!(5x^2-xy+y^2)+(-x^2-7xy+9y^2) = 4x^2 - 8xy +10y^2
 Linear_Equations_And_Systems_Word_Problems/266347: Three times a number is the same as the difference of twice the number and seven. Find the number.1 solutions Answer 195732 by user_dude2008(1861)   on 2010-02-06 19:30:43 (Show Source): You can put this solution on YOUR website!3x=2x-7 3x-2x=-7 x=-7 <----Answer
 Quadratic_Equations/266349: Another method of solving quadratic eqautions came from India. 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 square term. c. Square the coefficient of the orginal x term and add it to both sides. e. sel the left side of the equation equal to the postive 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. Solve the following. x square - 2x -13=0 4x square - 4x + 3 = 0 x square + 12x-64=0 2x square - 3x - 5=0 I need help with any or all of the following to see an example of the process. 1 solutions Answer 195731 by user_dude2008(1861)   on 2010-02-06 19:29:41 (Show Source): You can put this solution on YOUR website!x^2 - 2x -13=0 a. x^2 - 2x =13 b. 4x^2-8x=52 c. 4x^2-8x+4=52+4 4x^2-8x+4=56 d. 4(x^2-2x+1)=56 d. 4(x-1)^2=56 (x-1)^2=14 e. x-1=sqrt(14) e. x=1+sqrt(14) f. x-1=-sqrt(14) f. x=1-sqrt(14) Answers: x=1+sqrt(14) or x=1-sqrt(14)
 Trigonometry-basics/266363: find all the solutions to the equation csc(theta)-2=0 write all answers in radians in terms of pi1 solutions Answer 195730 by user_dude2008(1861)   on 2010-02-06 19:24:56 (Show Source): You can put this solution on YOUR website!csc(theta)-2=0 csc(theta)=2 1/sin(theta)=2 sin(theta)=1/2 theta=pi/6+2pi*n or theta=5pi/6+2pi*n <----Answers
 Graphs/266380: 1/2(x+4)=1/3(3x-6)1 solutions Answer 195729 by user_dude2008(1861)   on 2010-02-06 19:21:49 (Show Source): You can put this solution on YOUR website!1/2(x+4)=1/3(3x-6) 3(x+4)=2(3x-6) 3x+12=6x-12 -3x=-24 x=8 Answer: x=8
 Systems-of-equations/266378: Evaluate x-y divided by 3 when x is 2 more than 5 times y and y=4 1 solutions Answer 195728 by user_dude2008(1861)   on 2010-02-06 19:20:15 (Show Source): You can put this solution on YOUR website!x=2+5y x=2+5(4) x=22 (x-y)/3=(22-4)/3=18/3=6 Answer: (x-y)/3=6
 Problems-with-consecutive-odd-even-integers/266353: Write an integer that is less than -9 explain?1 solutions Answer 195727 by user_dude2008(1861)   on 2010-02-06 19:18:26 (Show Source): You can put this solution on YOUR website!-10 is an integer less than -9
 Functions/266409: Determine which equation represents y as a function of x: y^2 - 4y =x y=x^2 +2x +3 (x+1)^2 + (y+2)^2 = 64 x=3 None of The Above1 solutions Answer 195726 by user_dude2008(1861)   on 2010-02-06 19:17:38 (Show Source): You can put this solution on YOUR website!Answer: y=x^2 +2x +3 is a function of x
 Equations/266437: 4x-3+2x=8x-3-x1 solutions Answer 195725 by user_dude2008(1861)   on 2010-02-06 19:16:29 (Show Source): You can put this solution on YOUR website!4x-3+2x=8x-3-x 6x-3=7x-3 -x=0 x=0 Answer: x=0
 Polynomials-and-rational-expressions/266135: how do i factor 5y^2-90 as a polynomial1 solutions Answer 195558 by user_dude2008(1861)   on 2010-02-05 17:28:36 (Show Source): You can put this solution on YOUR website!5y^2-90 = 5(y^2-18)
 Polynomials-and-rational-expressions/266133: (3x-5)^3 solve1 solutions Answer 195551 by user_dude2008(1861)   on 2010-02-05 17:01:28 (Show Source): You can put this solution on YOUR website!(3x-5)^3 = (3x-5)(3x-5)(3x-5) = (3x-5)(9x^2-30x+25) = 27x^3-135x^2+225x-125
 Equations/266130: 1+ 8/x^2 =4/x1 solutions Answer 195549 by user_dude2008(1861)   on 2010-02-05 17:00:13 (Show Source): You can put this solution on YOUR website!1+ 8/x^2 =4/x x^2+ 8 =4x x^2-4x+8=0 x=2+2i or x=2-2i <---- Answers