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 Probability-and-statistics/531479: In how many ways can the letters in "laser" be arranged?1 solutions Answer 350494 by jim_thompson5910(28598)   on 2011-11-14 18:12:48 (Show Source): You can put this solution on YOUR website!There are 5! = 5*4*3*2*1 = 120 ways to arrange the letters.
 Inequalities/531493: Solve the inequality: 8b>321 solutions Answer 350493 by jim_thompson5910(28598)   on 2011-11-14 18:12:16 (Show Source): You can put this solution on YOUR website!8b > 32 b > 32/8 b > 4
 Equations/531535: How to solve 3w - 65 = 8w1 solutions Answer 350491 by jim_thompson5910(28598)   on 2011-11-14 18:11:36 (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. 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
 Equations/531539: 6=1-2n + 51 solutions Answer 350490 by jim_thompson5910(28598)   on 2011-11-14 18:10:59 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the right side. Subtract from both sides. 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
Coordinate-system/531546: Find the x- intercept and y -intercept of the line given by the equation.
8x-3y=-6

1 solutions

Answer 350488 by jim_thompson5910(28598)   on 2011-11-14 18:09:53 (Show Source):
You can put this solution on YOUR website!

#### x-intercept

To find the x-intercept, plug in and solve for x

Plug in .

Multiply and 0 to get 0.

Simplify.

Divide both sides by to isolate .

Reduce.

So the x-intercept is .

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

#### y-intercept

To find the y-intercept, plug in and solve for y

Plug in .

Multiply and 0 to get 0.

Simplify.

Divide both sides by to isolate .

Reduce.

So the y-intercept 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

 Equations/531547: Please help me with the following(Make sure to include the steps) 1. -11-5a=6(5a+4) 2. -5(4x-2=-2(3+6x) 3. 5(2x+6)=-4(-5-2x)+3x1 solutions Answer 350486 by jim_thompson5910(28598)   on 2011-11-14 18:09:05 (Show Source): You can put this solution on YOUR website!I'll do the first one to get you started. # 1 Start with the given equation. Distribute. 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
 Graphs/531057: c2+11c+18/c+9 the quotient is_____ (c to the 2nd power) 1 solutions Answer 350318 by jim_thompson5910(28598)   on 2011-11-13 20:07:33 (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
 logarithm/531058: How do i express 27^-2/3 = 1/9 in logarithmic form1 solutions Answer 350316 by jim_thompson5910(28598)   on 2011-11-13 20:06:02 (Show Source): You can put this solution on YOUR website! converts to
 Numeric_Fractions/531052: 12n-7-3n=111 solutions Answer 350312 by jim_thompson5910(28598)   on 2011-11-13 20:00:49 (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. 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
 Square-cubic-other-roots/531015: I need to simplify radical 176a^3b^5 but I am having trouble knowing exactly where to begin.1 solutions Answer 350302 by jim_thompson5910(28598)   on 2011-11-13 19:30:29 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor into Factor into Factor into Break up the square root using the identity . Take the square root of to get . Take the square root of to get . Take the square root of to get . Rearrange and multiply the terms. ================================================== Answer: So simplifies to In other words, where every variable is non-negative.
 Polynomials-and-rational-expressions/531014: I only have a few hours left to turn in my assignment and really need help with these problems. I have already completed over 50 problems and keep getting things confused so I'm not even sure if those are correct. Please help! I would greatly appreciate being shown how to solve these problems. Thanks in advance! 1. Find the following. 12^sqrt(-5)^12 2. Multiply (-3x)^2(2x^8)^2 3. Use the foil method to find the product (3x^3-4)(x^6-1) 4. Divide and simplify 3x-27/14 divide by x-9/6x 5. Find all numbers for which the rational expression is undefined. q^3-2q/q^2-16 6. Multiply (5x+4)(7x^2+9x+4) 7. Factor completely 3x^5-27x^4+9x^3 8. Subtract. Simplify, if possible. (4-v/v-7)-(6v-5/7-v) 9. Perform the indicated operations and simplify (y-6/y-8) – (y+1/y+8 )+(y-40/y^2-64) 10. Simplify by taking roots of the numerator and the denominator 3^sqrt 8x^14/y^3 11. Multiply and simplify. (4b^2/4b^2-24b+36)(4b-12/2b) 12. Solve. 2/v=6/v-1/3 13. Add. Simplify if possible. (3w/w^2-25) + (w/w-5) 1 solutions Answer 350301 by jim_thompson5910(28598)   on 2011-11-13 19:29:15 (Show Source): You can put this solution on YOUR website!I'll do the first three to get you started # 1 Use the idea that where n is even So or simply ------------------------------------------------------- # 2 (-3x)^2(2x^8)^2 (-3)^2*(x^2)(2)^2*(x^8)^2 9x^2*4*x^16 36x^18 So (-3x)^2(2x^8)^2 = 36x^18 ------------------------------------------------------- # 3 (3x^3-4)(x^6-1) (3x^3)(x^6)+(3x^3)(-1)+(-4)(x^6)+(-4)(-1) 3x^9-3x^3-4x^6+4 So (3x^3-4)(x^6-1)=3x^9-3x^3-4x^6+4
 Inverses/531013: Solve: 2 + 5x > 2x - 13. > can also be equal to1 solutions Answer 350296 by jim_thompson5910(28598)   on 2011-11-13 19:21:26 (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 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/531004: The sides of an equilateral triangle measure (2x+4) units. What is the perimeter 1 solutions Answer 350291 by jim_thompson5910(28598)   on 2011-11-13 19:08:41 (Show Source): You can put this solution on YOUR website!Perimeter is 3(2x+4) = 6x+12
 Linear_Algebra/530986: Solve the system of equations x + y = 6 x - y = -9 1 solutions Answer 350290 by jim_thompson5910(28598)   on 2011-11-13 19:06:37 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Divide both sides by to isolate . ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . So the solutions are and . Which form the ordered pair . This means that the system is consistent and independent. 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
 Inverses/530998: 1/x + 1/y = 5, can you solve for x without ending up with an xy 1 solutions Answer 350287 by jim_thompson5910(28598)   on 2011-11-13 19:04:38 (Show Source):
 Rectangles/530993: what is the different between 79 and 1051 solutions Answer 350286 by jim_thompson5910(28598)   on 2011-11-13 18:59:50 (Show Source): You can put this solution on YOUR website!105 - 79 = 26
 Numbers_Word_Problems/530987: What would be the algebraic expression for twice a number is added to fifteen.1 solutions Answer 350285 by jim_thompson5910(28598)   on 2011-11-13 18:58:39 (Show Source): You can put this solution on YOUR website!"twice a number is added to fifteen" translates to where x is the unknown number.
 Radicals/530980: Need help to solve this one, please! √(y+5) - 4 = 1 1 solutions Answer 350279 by jim_thompson5910(28598)   on 2011-11-13 18:46:30 (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
 Inverses/530975: Write a problem with the equation r divided by 6 = 14. Topic: algebra1 solutions Answer 350277 by jim_thompson5910(28598)   on 2011-11-13 18:42:28 (Show Source): You can put this solution on YOUR website!"r divided by 6 = 14" means
 Exponents/530967: not sure if answer is negative or positive. -4+3 divided by -4*31 solutions Answer 350276 by jim_thompson5910(28598)   on 2011-11-13 18:38:58 (Show Source): You can put this solution on YOUR website!-4+3 = -1 and -4*3 = -12 So -4+3 divided by -4*3 is -1/(-12) = 1/12 So the answer is 1/12
 Equations/530965: using numbers 2,3,7,5,6 solve to get 311 solutions Answer 350274 by jim_thompson5910(28598)   on 2011-11-13 18:35:00 (Show Source): You can put this solution on YOUR website!2*3*7-5-6 = 31
 Numeric_Fractions/530921: what is 5n-9 = 111 solutions Answer 350251 by jim_thompson5910(28598)   on 2011-11-13 17:38:11 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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
 Exponents/530922: what is 9-6/7) to the zero power1 solutions Answer 350250 by jim_thompson5910(28598)   on 2011-11-13 17:37:45 (Show Source): You can put this solution on YOUR website!Anything to the zeroth power (except 0) is 1 So the answer is 1 Note: I'm assuming that everything is raised to the zeroth power.
Polynomials-and-rational-expressions/530914: 25y^2-10y+1
1 solutions

Answer 350246 by jim_thompson5910(28598)   on 2011-11-13 17:18:59 (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to factor.

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 :
1,5,25
-1,-5,-25

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

These factors pair up and multiply to .
1*25 = 25
5*5 = 25
(-1)*(-25) = 25
(-5)*(-5) = 25

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

First NumberSecond NumberSum
1251+25=26
555+5=10
-1-25-1+(-25)=-26
-5-5-5+(-5)=-10

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 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

 Equations/530910: what is 9x-5x=71 solutions Answer 350245 by jim_thompson5910(28598)   on 2011-11-13 17:13:47 (Show Source): You can put this solution on YOUR website!The previous poster meant to write x = 7/4 for the final answer.
 Circles/530880: If the diameter of a circle is 27 meters, what is the area? Round to the nearest tenth1 solutions Answer 350237 by jim_thompson5910(28598)   on 2011-11-13 16:22:15 (Show Source): You can put this solution on YOUR website!If the diameter of a circle is 27 meters, then the radius is 27/2 = 13.5 meters So r = 13.5 Start with the area of a circle formula. Plug in . Replace with (note: Use more digits of to get better accuracy). Square to get . Multiply and to get (this figure is approximate). Round to the nearest tenth. So the area is roughly 572.6 square meters. 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/530881: What is the missing value for (3,2) and (6,y) ? 1 solutions Answer 350235 by jim_thompson5910(28598)   on 2011-11-13 16:20:34 (Show Source): You can put this solution on YOUR website!Do you know the slope of the line that passes through these points?
 Polynomials-and-rational-expressions/530878: perform the indicated operation 8n-[9n-(4n+5)1 solutions Answer 350234 by jim_thompson5910(28598)   on 2011-11-13 16:16:54 (Show Source): You can put this solution on YOUR website!8n-[9n-(4n+5)] 8n-[9n-4n-5] 8n-9n+4n+5 3n+5
 Complex_Numbers/530877: 3^2*3^-31 solutions Answer 350232 by jim_thompson5910(28598)   on 2011-11-13 16:14:39 (Show Source): You can put this solution on YOUR website!3^2*3^-3 = 3^(2+(-3)) = 3^(-1) = 1/(3^1) = 1/3 So 3^2*3^-3 = 1/3
 Sequences-and-series/530874: what is the answer to (1\9)^4 with the answer left in fractional form. 1 solutions Answer 350230 by jim_thompson5910(28598)   on 2011-11-13 16:13:07 (Show Source): You can put this solution on YOUR website! So
 Functions/530873: 1-m=6-6m solve and check solution1 solutions Answer 350227 by jim_thompson5910(28598)   on 2011-11-13 16:09:33 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from 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