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 expressions/394070: Simplify. x^2 * x * x^51 solutions Answer 279598 by jim_thompson5910(28476)   on 2011-01-12 23:18:45 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Linear-systems/393058: I'm struggling to help my 8th grade daughter with her algebra........ this is one.......the solution to which system of equations has a positive y value? 4 choices are listed but this is the one that's supposed to be correct--- y=3x+3 and 2x+3y=0. I keep coming up with a negative value. Can you help? Thank you!1 solutions Answer 279002 by jim_thompson5910(28476)   on 2011-01-11 00:33:54 (Show Source): You can put this solution on YOUR website! Start with the second equation. Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown. Distribute Combine like terms on the left side Subtract 9 from both sides Combine like terms on the right side Divide both sides by 11 to isolate x Reduce Now that we know that , we can plug this into to find Start with the first equation. Substitute for each Multiply Add So the solutions are and If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Expressions-with-variables/393014: 7-g<-8g1 solutions Answer 278964 by jim_thompson5910(28476)   on 2011-01-10 22:09:05 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from both sides. Add to 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, feel free to check out my tutoring website Jim
 Inequalities/393013: please solve this inquality :D thanks 5-x-2 > 3 and show work!1 solutions Answer 278963 by jim_thompson5910(28476)   on 2011-01-10 22:08:44 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Combine like terms on the left side. Subtract from 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, feel free to check out my tutoring website Jim
 real-numbers/393010: Find the real number between 1/4 and 1/8? 1 solutions Answer 278961 by jim_thompson5910(28476)   on 2011-01-10 22:06:35 (Show Source): You can put this solution on YOUR website!Simply average the two numbers to get So So a real number between and is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 expressions/392982: -11-(-5)=1 solutions Answer 278954 by jim_thompson5910(28476)   on 2011-01-10 21:25:39 (Show Source): You can put this solution on YOUR website!-11-(-5)= -11+5 = -6 So -11-(-5) = -6 If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Equations/392972: what is the answer for the problem.. g-2/ 5= g+4/71 solutions Answer 278946 by jim_thompson5910(28476)   on 2011-01-10 20:53:54 (Show Source): You can put this solution on YOUR website!I'm assuming that the equation is Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Simplify. Since this equation is never true for any g value, this means that there are no solutions. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Functions/392959: a(x)=5x-1 Give the domain of each function. Is it all numbers except 0?1 solutions Answer 278945 by jim_thompson5910(28476)   on 2011-01-10 20:51:48 (Show Source): You can put this solution on YOUR website!Since you can plug ANY number in for 'x', this means that the domain is the set of all real numbers. The number 0 works also (since ) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Exponents/392963: how doi solve this problem (6m)to the fourth power1 solutions Answer 278943 by jim_thompson5910(28476)   on 2011-01-10 20:49:54 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
Polynomials-and-rational-expressions/392932: 8b^2+24b+18
1 solutions

Answer 278918 by jim_thompson5910(28476)   on 2011-01-10 19:56:53 (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to factor.

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 :
1,2,3,4,6,9,12,18,36
-1,-2,-3,-4,-6,-9,-12,-18,-36

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

These factors pair up and multiply to .
1*36 = 36
2*18 = 36
3*12 = 36
4*9 = 36
6*6 = 36
(-1)*(-36) = 36
(-2)*(-18) = 36
(-3)*(-12) = 36
(-4)*(-9) = 36
(-6)*(-6) = 36

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

First NumberSecond NumberSum
1361+36=37
2182+18=20
3123+12=15
494+9=13
666+6=12
-1-36-1+(-36)=-37
-2-18-2+(-18)=-20
-3-12-3+(-12)=-15
-4-9-4+(-9)=-13
-6-6-6+(-6)=-12

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, feel free to check out my tutoring website

Jim

 Equations/392926: Can you please help me solve this problem x/4-3x/2=-1/2 1 solutions Answer 278916 by jim_thompson5910(28476)   on 2011-01-10 19:51:09 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. 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, feel free to check out my tutoring website Jim
 Radicals/392895: Find the value of 1 solutions Answer 278905 by jim_thompson5910(28476)   on 2011-01-10 19:37:00 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Graphs/392901: hi, thanks alot for your help. can you please teach me how to find the domain and range of a function on a graph?1 solutions Answer 278902 by jim_thompson5910(28476)   on 2011-01-10 19:33:54 (Show Source): You can put this solution on YOUR website!We would either need to see the graph or get a really good description of the graph. See this lesson on posting images.
 expressions/392908: my son is doing some form of algebra and i dont understand. one of the problems he had was 8x-2=-9+7x the answer is x=-7 could you explain to me how his teacher got that answer.1 solutions Answer 278900 by jim_thompson5910(28476)   on 2011-01-10 19:29:53 (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. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Linear-equations/392886: 3x^2*2x+7=0 then (x-1/3)^2 = can u please explain 1 solutions Answer 278893 by jim_thompson5910(28476)   on 2011-01-10 19:14:33 (Show Source): You can put this solution on YOUR website!First, we need to complete the square Start with the given expression. Factor out the coefficient . This step is very important: the coefficient must be equal to 1. Take half of the coefficient to get . In other words, . Now square to get . In other words, Now add and subtract inside the parenthesis. Make sure to place this after the "x" term. Notice how . So the expression is not changed. Group the first three terms. Factor to get . Combine like terms. Distribute. Multiply. So after completing the square, transforms to . So . So is equivalent to . Now let's isolate Start with the given equation. Subtract from both sides. Multiply both sides by . So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 expressions/392859: (5c+4d)expont2 for c=-3 d=-11 solutions Answer 278886 by jim_thompson5910(28476)   on 2011-01-10 19:05:26 (Show Source): You can put this solution on YOUR website! So when and If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Polynomials-and-rational-expressions/392809: 3x(x+2) and 6x(2x-3)1 solutions Answer 278884 by jim_thompson5910(28476)   on 2011-01-10 19:02:34 (Show Source): You can put this solution on YOUR website! If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
Polynomials-and-rational-expressions/392799: 2y^2-13y+18
1 solutions

Answer 278883 by jim_thompson5910(28476)   on 2011-01-10 19:01:02 (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 :
1,2,3,4,6,9,12,18,36
-1,-2,-3,-4,-6,-9,-12,-18,-36

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

These factors pair up and multiply to .
1*36 = 36
2*18 = 36
3*12 = 36
4*9 = 36
6*6 = 36
(-1)*(-36) = 36
(-2)*(-18) = 36
(-3)*(-12) = 36
(-4)*(-9) = 36
(-6)*(-6) = 36

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

First NumberSecond NumberSum
1361+36=37
2182+18=20
3123+12=15
494+9=13
666+6=12
-1-36-1+(-36)=-37
-2-18-2+(-18)=-20
-3-12-3+(-12)=-15
-4-9-4+(-9)=-13
-6-6-6+(-6)=-12

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).

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

 Equations/392842: what is 2x+7=4x+21 solutions Answer 278881 by jim_thompson5910(28476)   on 2011-01-10 19:00:00 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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, feel free to check out my tutoring website Jim
 Geometry_Word_Problems/392877: If the hypotenuse is 46",what is the height and length of the triangle?1 solutions Answer 278879 by jim_thompson5910(28476)   on 2011-01-10 18:58:54 (Show Source): You can put this solution on YOUR website!What kind of triangle are we dealing with? Do we know anything about the relationship between the length and the height?
 test/392863: Q=2.34+q what is q I'm going crazy trying to help my kid1 solutions Answer 278876 by jim_thompson5910(28476)   on 2011-01-10 18:57:08 (Show Source): You can put this solution on YOUR website!I'm assuming that Q and q are two different variables (ie I'm assuming that there isn't a capitalization error) Start with the given equation. Subtract 2.34 from both sides. Rearrange the equation. So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 percentage/392875: The question is based on data from a pie chart Section A=28% Section B=13% Section C=51% Section D=8% What fraction of the animals at the aquarium are in section C? Any help would be great Thanks!1 solutions Answer 278875 by jim_thompson5910(28476)   on 2011-01-10 18:54:32 (Show Source): You can put this solution on YOUR website!If you have some percentage p, then this means that it converts to the fraction . For example, if you have 47%, then p=47 and it converts to the fraction In your case, section C is 51%. So p=51 and it converts to the fraction So the answer is
 decimal-numbers/392846: How do I write 2.8 X 10-3 (that is negative 3) in a standard form?1 solutions Answer 278872 by jim_thompson5910(28476)   on 2011-01-10 18:52:10 (Show Source): You can put this solution on YOUR website!Simply move the decimal point three places to the left to get If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
Use the fact that if A= a b
c d , then A^-1 = 1/ad-bc * d -b
-c a
to find the inverse of each matrix, if possible. Check that AA^-1=I2 and
A^-1A=I2.
A= 6 -3
-2 1
Thank you sooo much to whomever responds!

1 solutions

Answer 278829 by jim_thompson5910(28476)   on 2011-01-10 16:59:27 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Finding the Inverse of a 2x2 Matrix

To find the inverse of the matrix , we can follow these steps:

### Step 1) Find the determinant

The determinant of is . So this means that

Since the determinant is equal to zero, this means that no inverse exists.

Remember, the inverse of is .

If , then a division by zero occurs, which is NOT allowed.

So we can stop here.

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

So the inverse of does NOT exist since (ie the determinant is 0).

For more help, check out this solver

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

 expressions/392785: 10+11x-6x1 solutions Answer 278825 by jim_thompson5910(28476)   on 2011-01-10 16:54:28 (Show Source): You can put this solution on YOUR website! If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Equations/392779: 8x-3(2x-9)=-51 solutions Answer 278824 by jim_thompson5910(28476)   on 2011-01-10 16:53:36 (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, feel free to check out my tutoring website Jim
 sets-and-operations/391742: Is A=(a,b,c,d) and B=(a,c), find a set C such that A intersection C = B. Is C unique? :) 1 solutions Answer 277987 by jim_thompson5910(28476)   on 2011-01-07 17:55:01 (Show Source): You can put this solution on YOUR website!The only requirements of set C to make is that set C must have the elements 'a' and 'c' (since set A has these two elements as well). Other than that, set C can have ANYTHING else. So for instance, one such set could be C = {a,b,c,e} or it could be C = {a,c,r,q} or it could be C = {a,b,c,w,x,y,z} And it goes on. It doesn't matter as long as 'a' and 'c' are in there. So this means that C is NOT unique. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Money_Word_Problems/391699: what interest rate compounded daily is required for a $22,000 investment to grow to$36,500 in 5 years?1 solutions Answer 277982 by jim_thompson5910(28476)   on 2011-01-07 17:48:34 (Show Source): You can put this solution on YOUR website! Start with the compound interest formula Plug in , , and . Multiply and to get . Divide both sides by . Evaluate to get . Take the 1825th root of both sides. Take the 1825th root of to get . Subtract 1 from both sides. Combine like terms. Multiply boths sides by to isolate "r". Multiply and to get . Rearrange the equation. Round to the nearest ten-thousandth. So the interest rate is 9.85% (multiply by 100 to convert to a percentage) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Inverses/391705: what is the additive inverse for 7-2m?1 solutions Answer 277979 by jim_thompson5910(28476)   on 2011-01-07 17:41:34 (Show Source): You can put this solution on YOUR website!The additive inverse for any number x, is -x So essentially we tack on a negative sign to the front of any number So this means that the additive inverse of is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Functions/391810: Find the indicated vaules for the function f(3)=4x-71 solutions Answer 277978 by jim_thompson5910(28476)   on 2011-01-07 17:40:23 (Show Source): You can put this solution on YOUR website!Assuming you mean f(x)=4x-7 So f(3)=4(3)-7=12-7=5 So f(3)=5 If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim