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 test/631843: 1 solutions Answer 397840 by jim_thompson5910(28595)   on 2012-07-25 13:56:30 (Show Source): You can put this solution on YOUR website!Problem missing.
 Equations/631794: 20(3+4x)-7(8-6x)=1501 solutions Answer 397839 by jim_thompson5910(28595)   on 2012-07-25 13:55:16 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. 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 --------------------------------------------------------------------------------------------------------------
 Exponents/631817: Write the expression using exponents. m*m1 solutions Answer 397838 by jim_thompson5910(28595)   on 2012-07-25 13:54:21 (Show Source): You can put this solution on YOUR website!$\LARGE m*m = {\color{red}m^2}$ -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 Polynomials-and-rational-expressions/631810: -6c+8+4c=-3c+131 solutions Answer 397837 by jim_thompson5910(28595)   on 2012-07-25 13:52:07 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. ---------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 logarithm/631831: ln(x+9)+ln(7x)1 solutions Answer 397836 by jim_thompson5910(28595)   on 2012-07-25 13:50:21 (Show Source): You can put this solution on YOUR website! So 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 --------------------------------------------------------------------------------------------------------------
 Points-lines-and-rays/631845: what is the slope of a line at (-3,0) and(4,3) ?1 solutions Answer 397834 by jim_thompson5910(28595)   on 2012-07-25 13:48:52 (Show Source): You can put this solution on YOUR website!Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get So the slope of the line that goes through the points and 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 --------------------------------------------------------------------------------------------------------------
 Number-Line/631844: Solve the inequality and graph on a number line. 7x + 4 ≤ x – 21 solutions Answer 397833 by jim_thompson5910(28595)   on 2012-07-25 13:48:05 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from 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 Here's the graph of the solution set (on the number line) Notice the closed circle is at the endpoint. -------------------------------------------------------------------------------------------------------------- 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/631834: Multiply: 5x^4(-3x^2+8x-1) Multiply: (x^2+x+1)(2x^3-x^2+3) I need some help thanks in advance! I selected the wrong topic sorry! I couldnt change it! It was suppose to be exponents 1 solutions Answer 397832 by jim_thompson5910(28595)   on 2012-07-25 13:45:14 (Show Source): You can put this solution on YOUR website! So distributes to ======================================================= So the answer 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-systems/631837: The first step to solving the equation 3 (x + 7) = 12x – 51 is to combine like terms. add the opposite to both sides. distribute. none of the above. The second step to solving the equation 2x – 7 – (x – 5) = 0 is to combine like terms. add the opposite to both sides. distribute. divide both sides.1 solutions Answer 397831 by jim_thompson5910(28595)   on 2012-07-25 13:39:37 (Show Source): You can put this solution on YOUR website!The first step to solving the equation 3 (x + 7) = 12x – 51 is to combine like terms. add the opposite to both sides. distribute. none of the above. You start off by distributing to get 3x + 21 = 12x - 51 From there, you need to move all the x terms to one side and get everything else to the other. Then you simplify. Afterwards, you can completely isolate x. ------------------------------------------------------- The second step to solving the equation 2x – 7 – (x – 5) = 0 is to combine like terms. add the opposite to both sides. distribute. divide both sides. The first step is to distribute (like in the first problem before this). This will give you 2x – 7 – x + 5 = 0 Then you combine like terms to get x - 2 = 0 I'm sure you see what to do from here (if not, let me know) -------------------------------------------------------------------------------------------------------------- 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/631646: Have I done this problem correctly? (q+3/4)(q+3/4)= q^2+3/4q+9/161 solutions Answer 397724 by jim_thompson5910(28595)   on 2012-07-25 00:31:06 (Show Source): You can put this solution on YOUR website!$\Large \left(q+\frac{3}{4}\right)\left(q+\frac{3}{4}\right)$ $\Large q*q+\frac{3}{4}q+\frac{3}{4}q+\left(\frac{3}{4}\right)\left(\frac{3}{4}\right)$ $\Large q^2+\frac{3}{4}q+\frac{3}{4}q+\frac{9}{16}$ $\Large q^2+\frac{6}{4}q+\frac{9}{16}$ $\Large q^2+\frac{3}{2}q+\frac{9}{16}$ So $\Large \left(q+\frac{3}{4}\right)\left(q+\frac{3}{4}\right) = q^2+\frac{3}{2}q+\frac{9}{16}$ -------------------------------------------------------------------------------------------------------------- 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/631649: f(x)=2x^2-16x-7 I found the vertex which is (4, -39) I am looking to find the domain of "f" I'm not understanding how this is obtained.1 solutions Answer 397722 by jim_thompson5910(28595)   on 2012-07-25 00:27:45 (Show Source): You can put this solution on YOUR website!You can plug any number in for x and get some number out for f(x) (or y) So the domain is the set of all real numbers. -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 logarithm/631619: How do I write this as a single logarithm? 2(log x - log y) I put 2log x/y But I'm not sure1 solutions Answer 397709 by jim_thompson5910(28595)   on 2012-07-24 22:34:08 (Show Source): You can put this solution on YOUR website!You can also write it as $\Large 2\log \left( \frac{x}{y} \right )$ $\Large \log \left( \left( \frac{x}{y} \right )^2\right )$ $\Large \log\left( \frac{x^2}{y^2} \right )$ Either one works (since they're all equivalent) -------------------------------------------------------------------------------------------------------------- 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/631580: Hi how do you find the center and radius of a circle? The equation is: x^2 + y^2 = 4 Thanks1 solutions Answer 397683 by jim_thompson5910(28595)   on 2012-07-24 19:48:18 (Show Source): You can put this solution on YOUR website!x^2 + y^2 = 4 is in the form (x-h)^2 + (y-k)^2 = r^2 where in this case, h = 0, k = 0 and r = 2 So the center is (h,k) = (0,0) and the radius is r = 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 --------------------------------------------------------------------------------------------------------------
 Subset/631570: Let A={6,4,1, {3,0,8},{9}}. Determie whether the state is true or false. {3,0,8} is a subset of A1 solutions Answer 397671 by jim_thompson5910(28595)   on 2012-07-24 19:10:48 (Show Source): You can put this solution on YOUR website!{3,0,8} is indeed a subset of set A since it is a member of the set A. So the statement is true. -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 Equations/631564: Solve the equation and check the solution? 4(5z-1)-3(z+6)=10(z+1)1 solutions Answer 397667 by jim_thompson5910(28595)   on 2012-07-24 18:45:19 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. 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 . ---------------------------------------------------------------------- Answer: So the solution is To perform the check, you plug the solution back into the given equation. Then you simplify. If you get a true equation, then the solution is verified. I'll let you do the check. -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 Travel_Word_Problems/631553: If a car drove for 30 minutes and went 10 miles what was his average speed?1 solutions Answer 397651 by jim_thompson5910(28595)   on 2012-07-24 17:27:14 (Show Source): You can put this solution on YOUR website!30 min = 0.5 hours d = rt 10 = r*0.5 10/0.5 = r 20 = r r = 20 So his average speed is 20 miles per hour. -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 Money_Word_Problems/631531: If I make 10 cents on every barrel of salt water, and there are 33,405 barrels of salt water, how many dollars do I get? $3340.50 or$334.05?1 solutions Answer 397642 by jim_thompson5910(28595)   on 2012-07-24 16:33:07 (Show Source): You can put this solution on YOUR website!(33,405 barrels )*(10 cents/1 barrel) = 33,405*10 = 334,050 cents (334,050 cents)*(1 dollar/100 cents) = 334,050/100 = 3340.50 dollars So the answer is \$3340.50 -------------------------------------------------------------------------------------------------------------- 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/631524: 1 solutions Answer 397635 by jim_thompson5910(28595)   on 2012-07-24 16:12:56 (Show Source): You can put this solution on YOUR website!Problem missing. Please post the full problem.
 Permutations/631516: find the probability of rolling a die three times and rolling a 2 each time1 solutions Answer 397631 by jim_thompson5910(28595)   on 2012-07-24 15:55:18 (Show Source): You can put this solution on YOUR website!There are 6^3 = 216 ways to roll a die 3 times. However, there is only 1 way to roll 3 twos. So the probability 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 --------------------------------------------------------------------------------------------------------------
 Triangles/631508: classify a triangle with sides 18 18 181 solutions Answer 397624 by jim_thompson5910(28595)   on 2012-07-24 15:26:25 (Show Source): You can put this solution on YOUR website!All three sides are equal, so this is an equilateral triangle. -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 logarithm/631503: Log3(x)=-21 solutions Answer 397622 by jim_thompson5910(28595)   on 2012-07-24 15:24:26 (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 --------------------------------------------------------------------------------------------------------------
 Complex_Numbers/631497: Please simplify and solve 4√(-13) - 6√(-13)1 solutions Answer 397614 by jim_thompson5910(28595)   on 2012-07-24 15:03:40 (Show Source): You can put this solution on YOUR website!4√(-13) - 6√(-13) (4 - 6)√(-13) -2√(-13) -2√(-1)*√(13) -2i*√13 So the answer is $\LARGE -2i\sqrt{13}$ Note: $\LARGE i = \sqrt{-1}$ -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 Distributive-associative-commutative-properties/631487: Which axiom is illustrated by the equation 3(x+2)=3(2+x)?1 solutions Answer 397610 by jim_thompson5910(28595)   on 2012-07-24 14:59:46 (Show Source): You can put this solution on YOUR website!You're rearranging x+2 to get 2+x. You're using the commutative property of addition since you can add in any order. -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------
 Distributive-associative-commutative-properties/631493: Can you help me solve these questions: Apply the distributive property. Then simplify by combining like terms: (2w+4)(-3)+w and -(6y-5)+6y?1 solutions Answer 397609 by jim_thompson5910(28595)   on 2012-07-24 14:58:50 (Show Source): You can put this solution on YOUR website!# 1 So the answer is --------------------------------------------------------------- # 2 So the answer 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 --------------------------------------------------------------------------------------------------------------
 Probability-and-statistics/631485: Construct a sample space of a couple who wants to have five children(excluding multiples)1 solutions Answer 397607 by jim_thompson5910(28595)   on 2012-07-24 14:56:09 (Show Source): You can put this solution on YOUR website!The sample space is { B, B, B, B, B } { B, B, B, B, G } { B, B, B, G, B } { B, B, B, G, G } { B, B, G, B, B } { B, B, G, B, G } { B, B, G, G, B } { B, B, G, G, G } { B, G, B, B, B } { B, G, B, B, G } { B, G, B, G, B } { B, G, B, G, G } { B, G, G, B, B } { B, G, G, B, G } { B, G, G, G, B } { B, G, G, G, G } { G, B, B, B, B } { G, B, B, B, G } { G, B, B, G, B } { G, B, B, G, G } { G, B, G, B, B } { G, B, G, B, G } { G, B, G, G, B } { G, B, G, G, G } { G, G, B, B, B } { G, G, B, B, G } { G, G, B, G, B } { G, G, B, G, G } { G, G, G, B, B } { G, G, G, B, G } { G, G, G, G, B } { G, G, G, G, G } Notice there are 2^5 = 32 ways to have 5 children. Note: an element like "{ G, B, G, B, B }" tells us that the first child is a girl, the second is a boy, the third is a girl, and the last two kids are boys. -------------------------------------------------------------------------------------------------------------- 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/631478: perform the indicated operations on the expression (5a^3+3a-2)-(4a^3+a^2+5) a. a^3+a^2+3 b. a^3-a^2+3a-7 c. 20a^3+3a^2-10 d. 3a^6-7 If you could please explain I would really appreciate it1 solutions Answer 397602 by jim_thompson5910(28595)   on 2012-07-24 14:39:21 (Show Source): You can put this solution on YOUR website! Start with the given expression. Distribute Group like terms Combine like terms So the answer is , which is choice B -------------------------------------------------------------------------------------------------------------- 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/631479: comp;etely factor the expression 7(x-y)-z(x-y) a. (x-y)(7-z) b. (x-y)^2(7-z)^3 c. prime d. (x-y)(7+z)^3 If you could please explain I would really appreciate it1 solutions Answer 397601 by jim_thompson5910(28595)   on 2012-07-24 14:37:14 (Show Source): You can put this solution on YOUR website!Factor out the GCF x-y to get and you can flip the terms to get So the answer is choice A -------------------------------------------------------------------------------------------------------------- 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/631473: solve the equation 3z^3-300z=0 a. z=0 b. z=-4 and z=1 c. prime d. z=0, z=-10 If you could please explain I would really appreciate it1 solutions Answer 397600 by jim_thompson5910(28595)   on 2012-07-24 14:36:12 (Show Source): You can put this solution on YOUR website!Hint: Factor out the GCF 3z to get Then use the difference of squares rule to get -------------------------------------------------------------------------------------------------------------- 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/631475: completely factor the expression 2a^3-128 a. 2(a-4)(a^2+4a+16) b. 2(a^3-64) c. prime d. 2(a-4)^3 If you could please explain I would really appreciate it1 solutions Answer 397599 by jim_thompson5910(28595)   on 2012-07-24 14:34:38 (Show Source): You can put this solution on YOUR website! Start with the given expression Factor out the GCF 2 Rewrite 64 as Now use the difference of cubes rule to factor So completely factors to Which means that the answer is choice A -------------------------------------------------------------------------------------------------------------- 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/631477: completely factor the expression r^2-2r+1
a. prime
b. r(r-2)+1
c. (r-1)(r-1)
d. (r+1)(r-1)
If you could please explain I would really appreciate it
1 solutions

Answer 397597 by jim_thompson5910(28595)   on 2012-07-24 14:31:20 (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
-1

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

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

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

First NumberSecond NumberSum
111+1=2
-1-1-1+(-1)=-2

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, for all values of 'r'

So the answer is choice c).

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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 Polynomials-and-rational-expressions/631467: completely factor the expression 4q^2+27r^4 a. 31q^2+27r^4 b. 27r^4(4q^2+1) c. 4q(q+27r) d. prime If you could please explain I would really appreciate it1 solutions Answer 397596 by jim_thompson5910(28595)   on 2012-07-24 14:28:59 (Show Source): You can put this solution on YOUR website!There are no common factors between the coefficients 4 and 27. There are also no common factors between the variables q^2 and r^4 So the GCF is 1. This means that it's trivial to factor out the GCF (since we get the same thing really after we do) Also, this is a binomial. This means that only the difference of squares rule is used to factor, but we have a sum (and not a difference) of terms. So we can't use that method either. So this expression is prime since it can't be factored. Note: you can also go through the other options and rule them out. For example, choice C) is 4q(q+27r) which distributes to 4q^2 + 108rq, which is NOT the original expression. So choice C is out. You would do the same for the other answer choices. -------------------------------------------------------------------------------------------------------------- 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 --------------------------------------------------------------------------------------------------------------