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# Recent problems solved by 'jim_thompson5910'

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 Functions/530865: solve and check solution 5x-3=13-3x1 solutions Answer 350222 by jim_thompson5910(28476)   on 2011-11-13 16:01:25 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Add to both sides. Combine like terms on the left side. 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
 Functions/530868: -4r-11=4r+21 solve and check solution1 solutions Answer 350221 by jim_thompson5910(28476)   on 2011-11-13 16:01:03 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Subtract from both sides. Combine like terms on the left side. 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/530858: hey im doing absoloute value equations... the question is: "Solve each equation or inequality" |2d|+3=211 solutions Answer 350219 by jim_thompson5910(28476)   on 2011-11-13 15:52:20 (Show Source): You can put this solution on YOUR website!|2d|+3=21 |2d|=21-3 |2d|=18 2d=18 or 2d=-18 d=18/2 or d=-18/2 d=9 or d=-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
 Functions/530857: f(x)=6x find the value f(m)1 solutions Answer 350217 by jim_thompson5910(28476)   on 2011-11-13 15:51:22 (Show Source): You can put this solution on YOUR website!f(x)=6x f(m)=6m
 Polynomials-and-rational-expressions/530837: find all numbers for which the rational expression is undefined. -17/7y1 solutions Answer 350211 by jim_thompson5910(28476)   on 2011-11-13 15:30:22 (Show Source): You can put this solution on YOUR website!You cannot divide by zero. So if the denominator 7y were zero, then y = 0 So y = 0 makes the denominator 0 Therefore, y = 0 makes the expression undefined.
 Linear_Algebra/530540: (-10) + 8 =1 solutions Answer 350117 by jim_thompson5910(28476)   on 2011-11-12 20:45:34 (Show Source): You can put this solution on YOUR website!(-10) + 8 = -2
 Subset/530531: Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A or if none of these answers applies. A = {x | x is all elements of N and x < 6} B = {x | x is all elements of N and 1 is less than or equal to x is less than or equal to 5} I believe that the answer is A=B Would A ⊆ B and A ⊂ B also be included in my answer as well? 1 solutions Answer 350109 by jim_thompson5910(28476)   on 2011-11-12 20:28:55 (Show Source): You can put this solution on YOUR website!You are correct in saying that A = B since they both equal the set {1, 2, 3, 4, 5} Note: this is assuming that you've defined the natural numbers to be the set of positive integers. Also, since A = B, we can say that A ⊆ B, B ⊆ A This is part of the definition of set equality. However, we cannot say that A ⊂ B or B ⊂ A since no one set is smaller than the other.
 Equations/530533: 2x+2=91 solutions Answer 350107 by jim_thompson5910(28476)   on 2011-11-12 20:26:02 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is
 Polynomials-and-rational-expressions/530498: Essay: Show all work. Find the following quotient: 16x^2 - 9y^2/4x + 3y1 solutions Answer 350096 by jim_thompson5910(28476)   on 2011-11-12 19:08:19 (Show Source): You can put this solution on YOUR website! So 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
 Graphs/530489: I am trying to find the answer for points to do a line graph. Here is my question. 3x + 4 = 4x =6 I was not sure how to do this. Thank you for your help. Sarita1 solutions Answer 350074 by jim_thompson5910(28476)   on 2011-11-12 18:07:40 (Show Source): You can put this solution on YOUR website!There are too many equal signs. Please repost with correct equation. Thanks.
 Permutations/530415: how many sandwiches can you make with 5 meats 4 breads and 4 cheeses we think the answer is 20 or 80 but book doesn't provide example for a 3 tier choice or 2 so were a lil confused 1 solutions Answer 350071 by jim_thompson5910(28476)   on 2011-11-12 17:59:51 (Show Source): You can put this solution on YOUR website!The answer is 5*4*4 = 20*4 = 80
 Functions/530483: Actually some of my problems involve graphs, but maybe I can still get help on a couple other problems. Find the domain p(x)=x^2+10. I know all the numbers are real numbers but my question involves whether the solution is equal to or greater than. Like so; {xIx is a real number and x = 10}(with a slash through the equal sign). I chose that as my answer; can someone double check to see if I'm correct. The other options are {xIx is a real number and x=0} (with a slash through the = sign) {xIx is a real number and x>0} and {xIx is a real number} Does anyone or whomever I'm writing to understand what the question is asking? This is Algebra 1.1 solutions Answer 350069 by jim_thompson5910(28476)   on 2011-11-12 17:50:51 (Show Source): You can put this solution on YOUR website!The answer is {xIx is a real number} which is basically saying "The domain is the set of all real numbers"
 Equations/530478: 3(x + 2) = 12 1 solutions Answer 350061 by jim_thompson5910(28476)   on 2011-11-12 17:25:58 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. 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
 Coordinate-system/530466: Find the equation of a circle given its center C and one point P. C(0,4),P(0,0). Thank You!1 solutions Answer 350059 by jim_thompson5910(28476)   on 2011-11-12 17:10:38 (Show Source): You can put this solution on YOUR website! Start with the general equation of a circle. Plug in and (since the center is the point (h,k) ). Plug in and (this is the point that lies on the circle, which is in the form (x,y) ). Combine like terms. Square each term. Add. So because , , and , this means that the equation of the circle with center (0,4) that goes through the point (0,0) is . which simplifies to 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
 Coordinate-system/530469: Find the equation of the circle centered at (4,6) and passing through the point (2,2). Thank you I'm having a hard time with circle equations!1 solutions Answer 350058 by jim_thompson5910(28476)   on 2011-11-12 17:09:34 (Show Source): You can put this solution on YOUR website! Start with the general equation of a circle. Plug in and (since the center is the point (h,k) ). Plug in and (this is the point that lies on the circle, which is in the form (x,y) ). Combine like terms. Square each term. Add. So because , , and , this means that the equation of the circle with center (4,6) that goes through the point (2,2) is .
 test/530473: 1 solutions Answer 350057 by jim_thompson5910(28476)   on 2011-11-12 17:07:37 (Show Source): You can put this solution on YOUR website!There's nothing here. Please enter a problem.
 Linear-equations/530472: Graph the following y=3+2x Find two points on the line to be graphed and enter their coordinates in the boxes below. A: _______ , ________ B: _______ , _________ 1 solutions Answer 350056 by jim_thompson5910(28476)   on 2011-11-12 17:07:08 (Show Source): You can put this solution on YOUR website!When x = 0, y = 3+2(0) = 3 So the first answer is A: ___0___, ___3___ ------------------------------------------------------- When x = 1, y = 3+2(1) = 5 and the second answer is B: ___1___, ___5___ 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
 Coordinate-system/530470: Find the center and radius of the circle with the given equation: x^2+y^2-28=0 Thank You : )1 solutions Answer 350054 by jim_thompson5910(28476)   on 2011-11-12 17:05:13 (Show Source): You can put this solution on YOUR website! The equation is now in form, which is a circle, where , and Remember that the center is (h,k) and the radius is r. So the center is (0,0) and the radius is units. 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
 Numeric_Fractions/530382: (13/15)/(29/30)1 solutions Answer 350026 by jim_thompson5910(28476)   on 2011-11-12 14:16:15 (Show Source): You can put this solution on YOUR website!(13/15)/(29/30) (13/15)*(30/29) (13*30)/(15*29) (390)/(15*29) (390)/(435) 26/29 So (13/15)/(29/30)=26/29
 Equations/530348: my equation problem is 3t+16t-48=2+14t. I simplified it to 5t=-50 when you divide 5 by 5 it drops out when you divied -50 by 5 you get -10 but my choices dont have -10 they have 10 why is that?1 solutions Answer 350025 by jim_thompson5910(28476)   on 2011-11-12 14:13:17 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Linear-systems/530362: a^7+a^7+a^7 is equivalent to what?1 solutions Answer 350023 by jim_thompson5910(28476)   on 2011-11-12 14:11:54 (Show Source): You can put this solution on YOUR website!a^7+a^7+a^7 = 3a^7 for all values of 'a'
 Linear-equations/530408: How do you write the equation y=2/3x -2 in standard form? I think it is -2/3x + y = -21 solutions Answer 350022 by jim_thompson5910(28476)   on 2011-11-12 14:09:38 (Show Source): You can put this solution on YOUR website!y=2/3x -2 3y=2x - 6 ... Note: Multiply EVERY term by the LCD 3 to clear out the fraction -2x + 3y = -6 2x - 3y = 6 So the answer is 2x - 3y = 6
 Linear-equations/530409: How do you write the equation y=2/3x -2 in standard form? I think it is -2/3x + y = -21 solutions Answer 350021 by jim_thompson5910(28476)   on 2011-11-12 14:09:12 (Show Source): You can put this solution on YOUR website!y=2/3x -2 3y=2x - 6 ... Note: Multiply EVERY term by the LCD 3 to clear out the fraction -2x + 3y = -6 2x - 3y = 6 So the answer is 2x - 3y = 6
 Polynomials-and-rational-expressions/530349: please help me to solve 1/3 = 4/n-11 solutions Answer 350019 by jim_thompson5910(28476)   on 2011-11-12 14:06:44 (Show Source): You can put this solution on YOUR website!1/3 = 4/(n-1) 1(n-1) = 4*3 1(n-1) = 12 n-1 = 12 n = 12+1 n = 13 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
 Signed-numbers/530357: what is +2 X (+4)= what is -7 X (+14)= what is -12 X (+12)= 1 solutions Answer 350018 by jim_thompson5910(28476)   on 2011-11-12 14:05:32 (Show Source): You can put this solution on YOUR website!+2 X (+4)= +8 -7 X (+14)= - 98 -12 X (+12)= -144
Equations/530360: factor the following trinomial completely: 3x^2+12x+12

1 solutions

Answer 350017 by jim_thompson5910(28476)   on 2011-11-12 14:04:43 (Show Source):
You can put this solution on YOUR website!

Factor out the GCF .

Now let's try to factor the inner expression

---------------------------------------------------------------

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 :
1,2,4
-1,-2,-4

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

These factors pair up and multiply to .
1*4 = 4
2*2 = 4
(-1)*(-4) = 4
(-2)*(-2) = 4

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

First NumberSecond NumberSum
141+4=5
222+2=4
-1-4-1+(-4)=-5
-2-2-2+(-2)=-4

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

Condense the terms.

--------------------------------------------------

So then factors further to

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

So completely 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).

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

 Finance/530358: factor the following expression: 9x^4-4y^21 solutions Answer 350016 by jim_thompson5910(28476)   on 2011-11-12 14:03:57 (Show Source): You can put this solution on YOUR website!9x^4-4y^2 (3x^2)^2-(2y)^2 (3x^2-2y)(3x^2+2y) So 9x^4-4y^2 completely factors to (3x^2-2y)(3x^2+2y)
 Functions/530407: find the zeros of the function given by f(x)=2x^2-11x+151 solutions Answer 350015 by jim_thompson5910(28476)   on 2011-11-12 14:02:08 (Show Source): You can put this solution on YOUR website!f(x)=2x^2-11x+15 0=2x^2-11x+15 2x^2-11x+15=0 2x^2-6x-5x+15=0 2x(x-3)-5(x-3)=0 (2x-5)(x-3)=0 2x-5=0 or x-3=0 2x=5 or x=3 x=5/2 or x=3 So the zeros are 5/2 and 3 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
 Circles/530393: I'm really lost. Please help. find the center and radius of the circle with the given equation. x^2+y^2-28=0 All help is appreciated!1 solutions Answer 350014 by jim_thompson5910(28476)   on 2011-11-12 13:59:38 (Show Source): You can put this solution on YOUR website! The equation is now in form, which is a circle, where , and Remember that the center is (h,k) and the radius is r. So the center is (0,0) and the radius is units. 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/530398: 1 solutions Answer 350013 by jim_thompson5910(28476)   on 2011-11-12 13:55:36 (Show Source): You can put this solution on YOUR website!There's nothing here...please post a problem.
 Signed-numbers/530401: I am stuck on the answer to this, I know what it is, but how it was solved How did it get to 33 over 12 (33/12) 26 = -7 + 12p1 solutions Answer 350012 by jim_thompson5910(28476)   on 2011-11-12 13:55:09 (Show Source):