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 Travel_Word_Problems/563418: If “*“ is an operator that transforms a, b according to the rule a*b= a-b, determine the “value” of (a*b)*((a*a)*b). "*" is supose to be a triangle 1 solutions Answer 364865 by jim_thompson5910(28598)   on 2012-01-26 20:42:16 (Show Source): You can put this solution on YOUR website!(a*b)*((a*a)*b) (a-b)*((a-a)-b) (a-b)*(0-b) (a-b)*(-b) (a-b)-(-b) a-b+b a So (a*b)*((a*a)*b) = a for all values of a and b
 Inequalities/563352: 5x-6+1<-101 solutions Answer 364864 by jim_thompson5910(28598)   on 2012-01-26 20:38:15 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Combine like terms on the left side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 absolute-value/563118: 3|x|=241 solutions Answer 364771 by jim_thompson5910(28598)   on 2012-01-26 15:26:30 (Show Source): You can put this solution on YOUR website!3|x|=24 |x|=24/3 |x|=8 x = 8 or x = -8
 Distributive-associative-commutative-properties/563159: I'm trying to find the perimeter of a rectangle when the length is x + 25 and the width is 2x 1 solutions Answer 364770 by jim_thompson5910(28598)   on 2012-01-26 15:24:03 (Show Source): You can put this solution on YOUR website!P = 2L + 2W P = 2(x+25) + 2(2x) P = 2x+50+4x P = 6x+50 So the perimeter is 6x+50 units.
 Inequalities/561964: 2x-3>x1 solutions Answer 364409 by jim_thompson5910(28598)   on 2012-01-24 17:58:01 (Show Source): You can put this solution on YOUR website!2x-3>x -3>x-2x -3>-x 3 < x x > 3 So the solution is x > 3
 Distributive-associative-commutative-properties/561659: what property is (15+4) + 9 = (4+15) + 91 solutions Answer 364344 by jim_thompson5910(28598)   on 2012-01-24 08:34:33 (Show Source): You can put this solution on YOUR website!This is the commutative property of addition. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 expressions/561689: -5a^2,a=21 solutions Answer 364342 by jim_thompson5910(28598)   on 2012-01-24 08:31:48 (Show Source): You can put this solution on YOUR website! So when ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 test/561636: 1 solutions Answer 364316 by jim_thompson5910(28598)   on 2012-01-24 00:49:32 (Show Source): You can put this solution on YOUR website!missing problem
 Inverses/561469: What is the multiplicative inverse of negative one over nine?1 solutions Answer 364271 by jim_thompson5910(28598)   on 2012-01-23 19:38:09 (Show Source): You can put this solution on YOUR website!The multiplicative inverse of x is 1/x. In this case, x = -1/9. So 1/x = 1/(-1/9) = -9 So the multiplicative inverse of -1/9 is -9 ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
1 solutions

Answer 364270 by jim_thompson5910(28598)   on 2012-01-23 19:37:09 (Show Source):
You can put this solution on YOUR website!

Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is .

Now multiply the first coefficient by the last term to get .

Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ?

To find these two numbers, we need to list all of the factors of (the previous product).

Factors of :
1,2,3,6,9,18,27,54
-1,-2,-3,-6,-9,-18,-27,-54

Note: list the negative of each factor. This will allow us to find all possible combinations.

These factors pair up and multiply to .
1*54 = 54
2*27 = 54
3*18 = 54
6*9 = 54
(-1)*(-54) = 54
(-2)*(-27) = 54
(-3)*(-18) = 54
(-6)*(-9) = 54

Now let's add up each pair of factors to see if one pair adds to the middle coefficient :

First NumberSecond NumberSum
1541+54=55
2272+27=29
3183+18=21
696+9=15
-1-54-1+(-54)=-55
-2-27-2+(-27)=-29
-3-18-3+(-18)=-21
-6-9-6+(-9)=-15

From the table, we can see that the two numbers and add to (the middle coefficient).

So the two numbers and both multiply to and add to

Now replace the middle term with . Remember, and add to . So this shows us that .

Replace the second term with .

Group the terms into two pairs.

Factor out the GCF from the first group.

Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.

Combine like terms. Or factor out the common term

===============================================================

So factors to .

In other words, .

Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).
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If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

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 test/561393: evalute absolute -51 solutions Answer 364262 by jim_thompson5910(28598)   on 2012-01-23 18:17:08 (Show Source): You can put this solution on YOUR website!|-5| = 5
 test/561384: 1 solutions Answer 364260 by jim_thompson5910(28598)   on 2012-01-23 18:07:00 (Show Source): You can put this solution on YOUR website!blank page, please post the full problem + full instructions. Thanks.
 Inequalities/561370: 3x+4 is less than or equal to 31 I have no idea how to solve multi step inequalities I would appeciate a thorough explanation, thank you morgan 1 solutions Answer 364258 by jim_thompson5910(28598)   on 2012-01-23 17:57:25 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Linear-equations/561366: Is the linear equation 3x-2=y in standard form ? If yes then how ?1 solutions Answer 364256 by jim_thompson5910(28598)   on 2012-01-23 17:45:17 (Show Source): You can put this solution on YOUR website!No it is not in standard form since Ax+By = C is standard form.
 Quadratic-relations-and-conic-sections/561358: 162x^4-2y^4 how do i factor this? with work1 solutions Answer 364255 by jim_thompson5910(28598)   on 2012-01-23 17:38:45 (Show Source): You can put this solution on YOUR website!162x^4-2y^4 2(81x^4-y^4) 2((9x^2)^2-(y^2)^2) 2(9x^2-y^2)(9x^2+y^2) 2((3x)^2-y^2)(9x^2+y^2) 2(3x-y)(3x+y)(9x^2+y^2) So 162x^4-2y^4 completely factors to 2(3x-y)(3x+y)(9x^2+y^2) In other words, 162x^4-2y^4 = 2(3x-y)(3x+y)(9x^2+y^2) ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 test/561357: 1 solutions Answer 364254 by jim_thompson5910(28598)   on 2012-01-23 17:36:16 (Show Source): You can put this solution on YOUR website!missing problem
 test/561345: 26•541 solutions Answer 364253 by jim_thompson5910(28598)   on 2012-01-23 17:31:33 (Show Source): You can put this solution on YOUR website!26*54 = 1404
 Polynomials-and-rational-expressions/561338: Hello! How do I solve for B in y=(-9/2)+b 1 solutions Answer 364250 by jim_thompson5910(28598)   on 2012-01-23 17:15:45 (Show Source): You can put this solution on YOUR website! ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Linear_Equations_And_Systems_Word_Problems/561339: Hi! Ok, I'm not really getting this question is says.. -P=3.25c-780 - If the above equation were to be graphed, what would be the slope of this graph? -I know the slope is 3.25 and since that's positive, so would the slope be positive? Thanks! I really appreciate it! 1 solutions Answer 364249 by jim_thompson5910(28598)   on 2012-01-23 17:14:43 (Show Source): You can put this solution on YOUR website!You are correct, the slope is 3.25, which is positive.
 test/561335: 8(k+8)1 solutions Answer 364248 by jim_thompson5910(28598)   on 2012-01-23 17:10:31 (Show Source): You can put this solution on YOUR website!8(k+8) = 8k+64
 Radicals/561329: sqrt(x-6)+3=sqrt(x) does this have a real solution? first i subtracted the 3 over, squared both sides and ended up with x=(25/4) but when i plug that in, it was not a true statement. then i started over and squared both sides like the original problem shows and got the square root equal to a negative so that would be "no real solution". thank you for looking at this!!1 solutions Answer 364245 by jim_thompson5910(28598)   on 2012-01-23 17:05:59 (Show Source): You can put this solution on YOUR website!You are correct. No real solutions exist.
 Travel_Word_Problems/561328: if you ride a bike at 3 mph for 4 hours, how far will you travel?1 solutions Answer 364244 by jim_thompson5910(28598)   on 2012-01-23 17:04:06 (Show Source): You can put this solution on YOUR website!d = rt d = 3*4 d = 12 So you've traveled 12 miles. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Triangles/561323: I have a series of problems where i only have the measurements of side C in a right triangle (45, 45, 90 degree triangle) and i have no clue how to find sides a and b?? Let's say side C is 43, how would i find sides A and B? 1 solutions Answer 364242 by jim_thompson5910(28598)   on 2012-01-23 16:56:44 (Show Source): You can put this solution on YOUR website!Using the pythagorean theorem, , we can say that if side A = x, B = x (note: A = B because this is an isosceles triangle) and C = 43, then So A and B are roughly 30.4055915910216 units long ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Linear_Equations_And_Systems_Word_Problems/561315: Hi! I'm not getting one thing on my math homework, can you help me please? OK...here's the word problem. - Dough bought a small tree at the local garden center to plant in his backyard. The employee at the garden center told him that the tree would grow two centimeters per week. The linear equation below represents, h the height of the tree in Doug's backyard. H=2c+61 -What I'm not getting is, what does 61 represent. How tall the tree is when he got it?1 solutions Answer 364240 by jim_thompson5910(28598)   on 2012-01-23 16:50:54 (Show Source): You can put this solution on YOUR website!When c = 0, ie when he first got it, H = 2(0)+61 = 61 which means that the height when he got it was 61 cm So the 61 represents the initial or starting height of the plant. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Polynomials-and-rational-expressions/561314: Create a data set that contains three values and has a mode of 1/31 solutions Answer 364238 by jim_thompson5910(28598)   on 2012-01-23 16:49:27 (Show Source): You can put this solution on YOUR website!{1/3, 1/3, 5} is one such set or {1/3, 1/3, 1/3} is another
 Subset/561312: WHAT ARE THE SUBSETS OF THE SET (-1,9)1 solutions Answer 364236 by jim_thompson5910(28598)   on 2012-01-23 16:47:45 (Show Source): You can put this solution on YOUR website!There are 4 Subsets, and they are: {}, {-1}, {9}, {-1, 9} ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Probability-and-statistics/561310: create a data set that contains four values and has a mean of 241 solutions Answer 364235 by jim_thompson5910(28598)   on 2012-01-23 16:46:53 (Show Source): You can put this solution on YOUR website!The set {24, 24, 24, 24} is a very simple example (since adding them will get 96 and then divide that by 4 to get 24 again) also, the set {22, 23, 25, 26} works as well (same reason as above) ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Linear-systems/561305: How many solutions does the system have? -2x+5y=7 -2x+5y=12 HELP!!1 solutions Answer 364234 by jim_thompson5910(28598)   on 2012-01-23 16:40:06 (Show Source): You can put this solution on YOUR website!Let's say that z = -2x+5y So this would mean that equation 1 would go from -2x+5y = 7 to z = 7 and equation 2 would go from -2x+5y = 12 to z = 12 But z is only ONE number. So z can't be both 7 and 12 at the same time. So there are no numbers z which satisfy the system, which means by extension, there are no numbers x and y which satisfy the system Answer: So there are NO solutions. This means that the system is inconsistent. ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------
 Polynomials-and-rational-expressions/561299: Okay my algebra teacher is teaching us polynomials to a factor, the difference of two squares, and perfect square trinomials. And the problem is I don't understand really. The question is 54k^2 - 24. What I have to do first is 54(x^2-12). And that's where I am stuck, I don't know what to do next so please help me.1 solutions Answer 364231 by jim_thompson5910(28598)   on 2012-01-23 16:26:45 (Show Source): You can put this solution on YOUR website!54k^2 - 24 6(9k^2 - 4) 6( (3k)^2 - 2^2 ) 6(3k-2)(3k+2) So 54k^2 - 24 completely factors to 6(3k-2)(3k+2) ------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim -------------------------------------------------------------------------------------------------