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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
 Start with the given equation.
 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
 Start with the given equation.
 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
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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)+3x 1 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
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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.
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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
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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
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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 Number | Second Number | Sum | | 1 | 25 | 1+25=26 | | 5 | 5 | 5+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.
===============================================================
Answer:
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
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