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 Linear-systems/697684: I need help finding the real-number solutions for please and thank you1 solutions Answer 430218 by Alan3354(30959)   on 2013-01-01 14:47:23 (Show Source): You can put this solution on YOUR website!I need help finding the real-number solutions for --------- Factor out 3x 3x = 0 --> x = 0 ------------- Factor the trinomial that's left.
 Trigonometry-basics/697687: find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx 1 solutions Answer 430210 by Alan3354(30959)   on 2013-01-01 14:02:49 (Show Source): You can put this solution on YOUR website!sin2x=sinx ------------ sin2x - sinx = 0 2sinxcosx - sinx = 0 sin(x)*(2cosx - 1) = 0 ---- sinx = 0 x = 0, 180, 360 ---- 2cosx = 1 cosx = 1/2 x = 60, 300
 test/697690: x^2/10 - x/5 +2 = 0 How do i cancel out the denomonators?1 solutions Answer 430208 by Alan3354(30959)   on 2013-01-01 13:51:24 (Show Source): You can put this solution on YOUR website!x^2/10 - x/5 +2 = 0 How do i cancel out the denomonators? ---------- Multiply by 10
 Rational-functions/697662: what are the x & y intercepts of the circle with the equation (x-4)^2+(y+6)^2=131 solutions Answer 430201 by Alan3354(30959)   on 2013-01-01 11:50:47 (Show Source): You can put this solution on YOUR website!what are the x & y intercepts of the circle with the equation (x-4)^2+(y+6)^2=13 --------- The center is (4,-6) The radius is less than 4 --> no intercepts
 Linear-equations/697670: How do you find the slope of -2-y=01 solutions Answer 430200 by Alan3354(30959)   on 2013-01-01 11:41:25 (Show Source): You can put this solution on YOUR website!How do you find the slope of -2-y=0 ---- y = -2 y = 0x - 2 Slope = zero
 test/697654: Give the complex number, -6 + 4i1 solutions Answer 430198 by Alan3354(30959)   on 2013-01-01 11:18:46 (Show Source): You can put this solution on YOUR website!Give the complex number, -6 + 4i ---------- What's your question?
 Rational-functions/697664: a vertical line intersects the x-axis at (3,0) and at a circle at two points. The circle has a radius of 5 and its center is the origin. What are the coordinates of the points intersection.1 solutions Answer 430197 by Alan3354(30959)   on 2013-01-01 11:16:19 (Show Source): You can put this solution on YOUR website!a vertical line intersects the x-axis at (3,0) and at a circle at two points. The circle has a radius of 5 and its center is the origin. What are the coordinates of the points intersection. ----------- The distance from the Origin = 5, the radius. x = 3 --> y = -4 & 4 (3,-4) & (3,4)
 Linear-systems/697616: x+y+3z+2w=13 x-2y+2z+w=8 3x+y+z-2w=11 solutions Answer 430190 by Alan3354(30959)   on 2013-01-01 09:49:08 (Show Source): You can put this solution on YOUR website!x+y+3z+2w=13 x-2y+2z+w=8 3x+y+z-2w=1 ------------- 4 variables, 3 equations. What do you want to do?
 Surface-area/697640: if a sphere of diameter 12 cm is melted and drawn into wire of diameter 0.2 cm,find lenght of wire?1 solutions Answer 430183 by Alan3354(30959)   on 2013-01-01 08:48:46 (Show Source): You can put this solution on YOUR website!if a sphere of diameter 12 cm is melted and drawn into wire of diameter 0.2 cm,find lenght of wire? ------------- cc ---------- L = 7200 cm
 Numbers_Word_Problems/697644: If sum of two consecutive two natural no is 27 find which one is even no1 solutions Answer 430182 by Alan3354(30959)   on 2013-01-01 08:45:40 (Show Source): You can put this solution on YOUR website!If sum of two consecutive two natural no is 27 find which one is even no -- 27/2 = 13.5 the center --> 13 & 14
 Complex_Numbers/697562: For y=2|2-3x|-3, what are the values of x satisfy y > 51 solutions Answer 430158 by Alan3354(30959)   on 2012-12-31 20:11:09 (Show Source): You can put this solution on YOUR website!For y=2|2-3x|-3, what are the values of x satisfy y > 5 --------------- 2|2-3x|-3 > 5 2|2-3x| > 8 |2-3x| > 4 -------------- 2-3x > 4 -3x > 2 x < -2/3 ------------- 2-3x > -4 -3x > -6 x < 2 ----------- x < -2/3 is included in x < 2
 Expressions-with-variables/697601: The owner of a shooting gallery charges 5 cents for each miss and pays out 25 cents for each hit. After 30 shots a poor marksman has to pay 90 cents. How many hits and missed did he make?1 solutions Answer 430157 by Alan3354(30959)   on 2012-12-31 20:05:13 (Show Source): You can put this solution on YOUR website!The owner of a shooting gallery charges 5 cents for each miss and pays out 25 cents for each hit. After 30 shots a poor marksman has to pay 90 cents. How many hits and missed did he make? ---------------------------------------- h + m = 30 25h - 5m = 90 ----------------- Can you do the rest?
 Functions/697607: Hello, "Given f(x)=sinx and g(x)=logx what is the domain of h(x)=g(x)+f(x)" Im sorta stumped, it's pretty obvious that you cant 'add the functions' like you would if they were like terms. Do you graph? Then What? Just point me in the right direction please. :) Adam1 solutions Answer 430155 by Alan3354(30959)   on 2012-12-31 19:59:47 (Show Source): You can put this solution on YOUR website!"Given f(x)=sinx and g(x)=logx what is the domain of h(x)=g(x)+f(x)" x has to be >0 for log(x) --> domain 0< x < infinity
 Age_Word_Problems/697507: jason is 2 years older than holly. The sum of their ages is 10. How old is each?1 solutions Answer 430150 by Alan3354(30959)   on 2012-12-31 17:55:01 (Show Source): You can put this solution on YOUR website!4 & 6
Complex_Numbers/697551: What is the maximum y value of V(x)=x(x-10)(x-8)
1 solutions

Answer 430143 by Alan3354(30959)   on 2012-12-31 17:35:55 (Show Source):
You can put this solution on YOUR website!
What is the maximum y value of V(x)=x(x-10)(x-8)
-----------
V(x) = x^3 - 18x^2 + 80x
V'(x) = 3x^2 - 36x + 80 = 0
 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 : . Discriminant d=336 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 9.05505046330389, 2.94494953669611. Here's your graph:

----------------
-----------
V''(x) = 6x - 36
--> inflection at x = 6
--> local max @ x2, 2.9449...
max = V(x2) =~ 105.0276

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