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Inequalities/633203: -6-6(5x-6)>-6(5+3x)
1 solutions
Answer 398725 by jim_thompson5910(28476)   on 2012-07-30 14:40:35 (Show Source):
You can put this solution on YOUR website!
 Start with the given inequality.
 Distribute.
 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.
 Divide both sides by  to isolate  . note: Remember, the inequality sign flips when we divide both sides by a negative number.
 Reduce.
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Answer:
So the solution is
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Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
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Expressions-with-variables/632728: 3 - 4x = 10x + 10
1 solutions
Answer 398438 by jim_thompson5910(28476) on 2012-07-28 17:32:41 (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.
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Answer:
So the solution is
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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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Linear-equations/632687: Solve the system of equations by graphing
2y=5x+11
x=y+5
1 solutions
Answer 398432 by jim_thompson5910(28476) on 2012-07-28 16:18:40 (Show Source):
You can put this solution on YOUR website!Graph the two equations to get
Note: the first equation is the green line and the second equation is the blue line
From the graph, we see that the two lines intersect at the point (-7,-12)
So the solutions are x = -7 and y = -12
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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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Quadratic_Equations/632702: Please help me solve the quadratic equation 3x^2+19x-14=0 using the quadratic formula.
1 solutions
Answer 398425 by jim_thompson5910(28476) on 2012-07-28 15:26:57 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
Notice that the quadratic  is in the form of  where  ,  , and 
Let's use the quadratic formula to solve for "x":
 Start with the quadratic formula
 Plug in , , and
 Square  to get  .
 Multiply  to get 
 Rewrite  as 
 Add to  to get 
 Multiply  and to get  .
 Take the square root of to get  .
 or  Break up the expression.
 or  Combine like terms.
 or  Simplify.
So the solutions are or
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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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Quadratic_Equations/632707: Can you compute the discriminant of the equation x^2+12x+36=0
1 solutions
Answer 398424 by jim_thompson5910(28476) on 2012-07-28 15:25:44 (Show Source):
You can put this solution on YOUR website!From  we can see that  ,  , and 
 Start with the discriminant formula.
 Plug in , , and
 Square  to get 
 Multiply  to get 
 Subtract from to get 
So the discriminant is
Since the discriminant is equal to zero, this means that there is one real solution.
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Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
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Probability-and-statistics/632677: Given a binomial distribution with n = 21 and p = 0.77, would the normal distribution provide a reasonable approximation?
Hi, I feel like I've missed a class. Everything I'm reading says that to do this I need np and n(1-p) = nq and I have no idea what this means!! can someone help please? I don't want the answer I want to know how to get the answer. Thanks.
1 solutions
Answer 398407 by jim_thompson5910(28476) on 2012-07-28 13:39:11 (Show Source):
You can put this solution on YOUR website!np = 21*0.77 = 16.17
So np = 16.17
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n(1-p) = 21*(1-0.77) = 4.83
So n(1-p) = 4.83 or nq = 4.83 since q = (1-p)
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Since nq = 4.83 is NOT greater than 5, this means that the normal distribution would NOT provide a reasonable approximation
It would only provide a reasonable approximation if BOTH np AND nq are greater than 5.
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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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Graphs/632514: What is the equation of a line that passes through points (-1, 2) and (5, 2)?
1 solutions
Answer 398335 by jim_thompson5910(28476) on 2012-07-27 20:17:18 (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
 Add 2 to 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
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Jim
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Linear_Equations_And_Systems_Word_Problems/632476: Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?
1 solutions
Answer 398307 by jim_thompson5910(28476) on 2012-07-27 17:49:48 (Show Source):
You can put this solution on YOUR website!They can be solved in the same way. The only difference is that when you multiply or divide both sides by a negative number, then the inequality sign will flip.
Note: you can think of the equation sign flipping as well if you want (to stay consistent) since flipping the equation sign goes from = to = (and it doesn't change)
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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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Linear-equations/632456: Write your solution using set builder notation
-2(10x-9)-17x<12(6-x)
1 solutions
Answer 398277 by jim_thompson5910(28476) on 2012-07-27 15:49:49 (Show Source):
You can put this solution on YOUR website!
 Start with the given inequality.
 Distribute.
 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.
 Divide both sides by  to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.
 Reduce.
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Answer:
So the solution is
So the answer in set-builder notation is 
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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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Graphs/632444: Determine whether the ordered pair (1,7) is a soultion of the equation: y=2x+5
I'm assuming that the answer is yes because I can can add 5+2 to get 7, but I don't have a clue how I would show my work on something like this...I would appreciate any help or explanation.
Thanks,
Michelle Lunde
(Linear equations and graphs)
1 solutions
Answer 398270 by jim_thompson5910(28476) on 2012-07-27 14:39:43 (Show Source):
You can put this solution on YOUR website!y = 2x + 5 ... Start with the given equation
7 = 2( 1) + 5 ... Plug in x = 1 and y = 7
7 = 2(1) + 5
7 = 2 + 5 ... Multiply
7 = 7 ... Add
Since that last equation is true, this means that  is true when  and 
Therefore, (1,7) is indeed a solution to
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Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
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Linear-equations/632382: Write the slope-intercept form of the equation of the line containing the points (-3,4) and (3,-2).
1 solutions
Answer 398269 by jim_thompson5910(28476) on 2012-07-27 14:36:06 (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
 Add 4 to 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
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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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Miscellaneous_Word_Problems/632439: 14-9(4-3q)=5(q+6)-7q
1 solutions
Answer 398267 by jim_thompson5910(28476) on 2012-07-27 14:33:42 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Distribute.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Add  to 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  .
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Answer:
So the solution is 
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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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Linear-equations/632182: Slope of the line that passes through the points (0,0) & (-11,-10) is:
Select one:
11/10
10/11
11
10
1 solutions
Answer 398077 by jim_thompson5910(28476) on 2012-07-26 15:31:54 (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
 Reduce
So the slope of the line that goes through the points and is
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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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Volume/632170: I have a spray tank that is 72" long and 36" in diameter how many gallons of water are in my tank if it is full? thank you very much!!
1 solutions
Answer 398068 by jim_thompson5910(28476) on 2012-07-26 15:07:16 (Show Source):
You can put this solution on YOUR website!V = pi*r^2*h
V = pi*(18)^2*(72)
V = 23328pi <<< --- Exact Volume
V = 23328(3.14159)
V = 73287.01152 <<< --- Approximate Volume
So the approximate volume is 73287.01152 cubic inches.
Now convert this to gallons
(73287.01152 cubic inches)*(1 gallon/231 cubic inches) = 73287.01152/231 = 317.25979012987
and round it to get 317.2598
So the tank can hold approximately 317.2598 gallons.
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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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