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 Inequalities/539545: 2(-3m-5)>= -281 solutions Answer 353455 by jim_thompson5910(28595)   on 2011-11-30 19:52:54 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. 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
 Inequalities/539549: -6(w+1)<2(w+5) Thank you so much!1 solutions Answer 353454 by jim_thompson5910(28595)   on 2011-11-30 19:51:42 (Show Source): You can put this solution on YOUR website! Start with the given inequality. 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 . note: Remember, the inequality sign flips when we divide both sides by a negative number. 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
 Inequalities/539508: 2p + 5 > 3p - 101 solutions Answer 353439 by jim_thompson5910(28595)   on 2011-11-30 19:19:14 (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 . note: Remember, the inequality sign flips when we divide both sides by a negative number. 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
Polynomials-and-rational-expressions/539493: THE factor polynomial problem is 15x2−84x−36
I know the answer to the polynomial is 3(5x+2)(x−6)but i dont understand how you get from
can you please show me how you get it STEP BY STEP

1 solutions

Answer 353432 by jim_thompson5910(28595)   on 2011-11-30 19:08:05 (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 :
1,2,3,4,5,6,10,12,15,20,30,60
-1,-2,-3,-4,-5,-6,-10,-12,-15,-20,-30,-60

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

These factors pair up and multiply to .
1*(-60) = -60
2*(-30) = -60
3*(-20) = -60
4*(-15) = -60
5*(-12) = -60
6*(-10) = -60
(-1)*(60) = -60
(-2)*(30) = -60
(-3)*(20) = -60
(-4)*(15) = -60
(-5)*(12) = -60
(-6)*(10) = -60

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

First NumberSecond NumberSum
1-601+(-60)=-59
2-302+(-30)=-28
3-203+(-20)=-17
4-154+(-15)=-11
5-125+(-12)=-7
6-106+(-10)=-4
-160-1+60=59
-230-2+30=28
-320-3+20=17
-415-4+15=11
-512-5+12=7
-610-6+10=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

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

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

Expressions-with-variables/539461: 6y^3+25y^2+14y
1 solutions

Answer 353428 by jim_thompson5910(28595)   on 2011-11-30 18:34:42 (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 :
1,2,3,4,6,7,12,14,21,28,42,84
-1,-2,-3,-4,-6,-7,-12,-14,-21,-28,-42,-84

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

These factors pair up and multiply to .
1*84 = 84
2*42 = 84
3*28 = 84
4*21 = 84
6*14 = 84
7*12 = 84
(-1)*(-84) = 84
(-2)*(-42) = 84
(-3)*(-28) = 84
(-4)*(-21) = 84
(-6)*(-14) = 84
(-7)*(-12) = 84

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

First NumberSecond NumberSum
1841+84=85
2422+42=44
3283+28=31
4214+21=25
6146+14=20
7127+12=19
-1-84-1+(-84)=-85
-2-42-2+(-42)=-44
-3-28-3+(-28)=-31
-4-21-4+(-21)=-25
-6-14-6+(-14)=-20
-7-12-7+(-12)=-19

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 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

 Linear-equations/539450: Please help me solve 3(x+2)+4=5x+71 solutions Answer 353422 by jim_thompson5910(28595)   on 2011-11-30 18:24:47 (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. 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
 Linear-equations/539442: Use slope and y intercept to graph a line. y=2x-51 solutions Answer 353417 by jim_thompson5910(28595)   on 2011-11-30 18:13:27 (Show Source): You can put this solution on YOUR website!Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1 So starting at , go up 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and 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/538792: -9 -b +8b=-231 solutions Answer 353361 by jim_thompson5910(28595)   on 2011-11-30 13:11:27 (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
 Equations/539186: Do the equations x = 4y +1 and x = 4y -1 have the same solution?1 solutions Answer 353360 by jim_thompson5910(28595)   on 2011-11-30 13:10:50 (Show Source): You can put this solution on YOUR website!x = 4y +1 4y - 1 = 4y +1 -1 = 1 Since the last equation is false, this means that there are no solutions.
 Vectors/539229: Find the magnitude and direction (in degrees) of the vector. v = 3i +√7j1 solutions Answer 353359 by jim_thompson5910(28595)   on 2011-11-30 13:08:09 (Show Source): You can put this solution on YOUR website!If v = ai+bj, then ||v|| = sqrt(a^2+b^2) In this case, a = 3 and b = sqrt(7) ||v|| = sqrt(a^2+b^2) ||v|| = sqrt(3^2+(sqrt(7))^2) ||v|| = sqrt(9+7) ||v|| = sqrt(16) ||v|| = 4 So the magnitude of v is 4 To find the direction or angle, we use the idea that theta = arctan(b/a) theta = arctan(b/a) theta = arctan(sqrt(7)/3) theta = 41.409622 (note: this is approximate) So the direction is roughly 41.409622 degrees.
 Exponents/539231: how do you simplify 15 with the power of -4 over 15 with the power of 51 solutions Answer 353357 by jim_thompson5910(28595)   on 2011-11-30 13:02:47 (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
 Complex_Numbers/539205: n^7÷n^31 solutions Answer 353353 by jim_thompson5910(28595)   on 2011-11-30 12:14:26 (Show Source): You can put this solution on YOUR website!n^7÷n^3 = n^(7-3) = n^4 So n^7÷n^3 = n^4 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/539142: 2x(5x1)=(7x5)x1 what property is this1 solutions Answer 353352 by jim_thompson5910(28595)   on 2011-11-30 12:13:56 (Show Source): You can put this solution on YOUR website!Assuming you meant to write 2x(5x1)=(2x5)x1, this is the associative property of multiplication.
 Linear-equations/539066: What is the slope of the line that passes through the pair of points? (1, 7), (10, 1)1 solutions Answer 353321 by jim_thompson5910(28595)   on 2011-11-30 08:24:22 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and 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 Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Distribute Multiply Add 7 to both sides. Combine like terms. note: If you need help with fractions, check out this solver. So the equation 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
 Linear-equations/538942: Find an equation of the line containing the given pair of points (-2,-8), (-5,-9)? the equation of the line in slope-intercept form is y=1 solutions Answer 353292 by jim_thompson5910(28595)   on 2011-11-29 22:55:41 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and 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 Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Rewrite as Distribute Multiply Subtract 8 from both sides. Combine like terms. note: If you need help with fractions, check out this solver. So the equation 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
 Linear_Algebra/538943: Find the slope-intercept form of the line that passes through the points (2,-1)and (-3,4). 1 solutions Answer 353290 by jim_thompson5910(28595)   on 2011-11-29 22:54:22 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and 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 Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Distribute Multiply Subtract 1 from both sides. Combine like terms. Simplify So the equation that goes through the points and is Notice how the graph of goes through the points and . So this visually verifies our answer. Graph of through the points and 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/538946: How do you solve A= LW , for W in algebra 11 solutions Answer 353289 by jim_thompson5910(28595)   on 2011-11-29 22:49:42 (Show Source): You can put this solution on YOUR website! Start with the given equation. Divide both sides by L Flip the equation 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/538936: 9-y=5 over 44=221 solutions Answer 353287 by jim_thompson5910(28595)   on 2011-11-29 22:46:47 (Show Source): You can put this solution on YOUR website! Start with the given equation. Cross multiply Multiply 44 and 5 to get 220 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
 Equations/538933: How do I work this sentence into an equation: Twice a number is 12 more than five times the number.1 solutions Answer 353285 by jim_thompson5910(28595)   on 2011-11-29 22:26:58 (Show Source): You can put this solution on YOUR website!" Twice a number is 12 more than five times the number" translates to where 'x' is the unknown number
 Radicals/538928: (2x-5)^2= 811 solutions Answer 353284 by jim_thompson5910(28595)   on 2011-11-29 22:25:43 (Show Source): You can put this solution on YOUR website! Start with the given equation. Take the square root of both sides. or Break up the "plus/minus" to form two equations. or Take the square root of to get . or Add to both sides. or Combine like terms. or Divide both sides by to isolate . -------------------------------------- Answer: So the solutions are or . 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/538923: HI Can someone please help me with this question? My mom as tried and she is stuck to n/3 = 2+n/51 solutions Answer 353281 by jim_thompson5910(28595)   on 2011-11-29 22:15:34 (Show Source): You can put this solution on YOUR website! Start with the given equation. Cross multiply Distribute. 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
I know that the first number in the bracket will probably have to be 9 or 3 but I'm not sure about how about the other numbers since 89 and 40 do not have a common multiple.
Thanks!
1 solutions

Answer 353279 by jim_thompson5910(28595)   on 2011-11-29 21:51:28 (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 :
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
-1,-2,-3,-4,-5,-6,-8,-9,-10,-12,-15,-18,-20,-24,-30,-36,-40,-45,-60,-72,-90,-120,-180,-360

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

These factors pair up and multiply to .
1*360 = 360
2*180 = 360
3*120 = 360
4*90 = 360
5*72 = 360
6*60 = 360
8*45 = 360
9*40 = 360
10*36 = 360
12*30 = 360
15*24 = 360
18*20 = 360
(-1)*(-360) = 360
(-2)*(-180) = 360
(-3)*(-120) = 360
(-4)*(-90) = 360
(-5)*(-72) = 360
(-6)*(-60) = 360
(-8)*(-45) = 360
(-9)*(-40) = 360
(-10)*(-36) = 360
(-12)*(-30) = 360
(-15)*(-24) = 360
(-18)*(-20) = 360

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

First NumberSecond NumberSum
13601+360=361
21802+180=182
31203+120=123
4904+90=94
5725+72=77
6606+60=66
8458+45=53
9409+40=49
103610+36=46
123012+30=42
152415+24=39
182018+20=38
-1-360-1+(-360)=-361
-2-180-2+(-180)=-182
-3-120-3+(-120)=-123
-4-90-4+(-90)=-94
-5-72-5+(-72)=-77
-6-60-6+(-60)=-66
-8-45-8+(-45)=-53
-9-40-9+(-40)=-49
-10-36-10+(-36)=-46
-12-30-12+(-30)=-42
-15-24-15+(-24)=-39
-18-20-18+(-20)=-38

From the table, we can see that there are no pairs of numbers which add to . So cannot be factored.

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

So doesn't factor at all (over the rational numbers).

So is prime.

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/538891: Please help me solve this : Find the mean for the following probability distribution, where x = number of hurricanes that hit a certain coast area in any given year and P(x) = the corresponding probabilities. x P(x) 0 .15 1 .4 2 .3 3 .15 I think I would go X = 4 and P(x)=.37 q= 1-.37 =.63 and .63 would be my mean but im not sure if i have to find mean that is 0+.15 /2 = .075 1+.4=.7 and so on Thanks for you help1 solutions Answer 353275 by jim_thompson5910(28595)   on 2011-11-29 21:38:50 (Show Source): You can put this solution on YOUR website!Mean = sum of the x*P(x) terms Mean = 0*0.15 + 1*0.4 + 2*0.3 + 3*0.15 Mean = 0 + 0.4 + 0.6 + 0.45 Mean = 1.45 So the mean is 1.45
 Inequalities/538703: can you please help me solve:3(x-2)>211 solutions Answer 353233 by jim_thompson5910(28595)   on 2011-11-29 19:07:01 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. 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