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Equations/343595: Fill in the parentheses so that the equation is correct.
13+ ( )= -4 1 solutions
Answer 245858 by jim_thompson5910(28595) on 2010-09-15 17:54:29 (Show Source):
You can put this solution on YOUR website!Replace the parenthesis with 'x' for now to get
 Start with the given equation.
 Subtract  from both sides.
 Combine like terms on the right side.
----------------------------------------------------------------------
Answer:
So the answer is
This means that the number that goes in the parenthesis is -17
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Inequalities/343582: -3(5x+10)<-18x-9 1 solutions
Answer 245850 by jim_thompson5910(28595) on 2010-09-15 17:45:51 (Show Source):
You can put this solution on YOUR website!
 Start with the given inequality.
 Distribute.
 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  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the answer is
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Equations/343583: How do you figure out how to solve ? 1 solutions
Answer 245849 by jim_thompson5910(28595) on 2010-09-15 17:45:13 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Cross multiply.
 Distribute.
 Multiply
 Subtract 10 from both sides.
Notice we have a quadratic equation in the form of  where  ,  , and
Let's use the quadratic formula to solve for x
 Start with the quadratic formula
 Plug in  ,  , and
 Negate  to get  .
 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 answers are  or
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Quadratic_Equations/342988: the are of a rectangle is 144in^2. the length is 4 times great than the width. Which quadratic equation represents the are of the rectangle?
a)w(4w)=144
b)w(4-w)=144
c)w(w-4))=144
d)w(w+4)=144 1 solutions
Answer 245468 by jim_thompson5910(28595) on 2010-09-14 14:45:21 (Show Source):
You can put this solution on YOUR website!Hint: If we let the width be 'w' inches, then the length is 4w (4 times 'w') inches. Ex: If the width is w=5 inches, then the length is 4*5=20 inches.
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Systems-of-equations/342986: Please solve algebraically:
2x^2 + 2y^2 + 4x = 6y
x^2 + y^2 + 2x - 3y = 1
For the first equation, I was able to divide everything by 2 and complete the square. After, I completed the square I factored it and got the answer:
( x+1)^2 + (y-3)^2 = 0
I did not know what to do after that though, it would be easy to solve the with a graph, but I cannot figure out how to solve both equations. Any help would be greatly appreciated, thanks so much!
1 solutions
Answer 245465 by jim_thompson5910(28595) on 2010-09-14 14:41:34 (Show Source):
You can put this solution on YOUR website!Here's the basic outline to solving this problem
1) Select an equation and complete the squares for both x and y. You've already done that. Call this equation 3.
2) Select a variable to solve for in equation 3. Let's say you choose to solve for 'y'.
3) Once you've solved for 'y', plug that solved expression into each 'y' of the other equation. Once you've done this, every 'y' will essentially be replaced by 'x' terms and you'll have an equation with only one variable.
4) Expand, combine like terms, and simplify to get the equation with one variable in the form  .
5) Now use the quadratic formula to solve for 'x'.
6) Use the solution(s) found in step 5) to find the corresponding solution(s) in terms of 'y'.
Let me know if this helps at all.
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Equations/342981: 3x-1=7-(8+3x) 1 solutions
Answer 245463 by jim_thompson5910(28595) on 2010-09-14 14:29:27 (Show Source):
You can put this solution on YOUR website!
 Start with the given equation.
 Distribute.
 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  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the answer is
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Probability-and-statistics/342964: For those of you who like standardized tests, I found this question on a recent SAT test: Two fair dice are tossed simultaneously. What is the probability that the product of the numbers that land showing is at least 25? Explain your solution. 1 solutions
Answer 245461 by jim_thompson5910(28595) on 2010-09-14 14:28:20 (Show Source):
You can put this solution on YOUR website!You can use a multiplication table to help you visualize the answer. Simply only focus on the values 1-6.
Looking at a multiplication table, there are 36 possible values that the two dice can multiply to, but there are only 4 possible ways to get 25 or more (5*5=25, 5*6=30, 6*5=30 and 6*6=36)
So the probability that the product is 25 or more is  which is 0.1111 in decimal form (basically, an 11.11% chance)
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Complex_Numbers/342746: solutions to the problem 4x^2-8x+3=0 1 solutions
Answer 245301 by jim_thompson5910(28595) on 2010-09-13 21:53:52 (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
 Negate  to get  .
 Square  to get  .
 Multiply  to get
 Subtract  from  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
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider making a donation at my tutoring website. Thank you.
Jim
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Complex_Numbers/342743: solutions to the problem 16x^2-64=0 1 solutions
Answer 245300 by jim_thompson5910(28595) on 2010-09-13 21:49:04 (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
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
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Linear-equations/342726: Find an equation of the line containing the given pair of points (-7,-3) and (-2,-4) 1 solutions
Answer 245289 by jim_thompson5910(28595) on 2010-09-13 21:32:24 (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
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 3 from both sides.
 Combine like terms. note: If you need help with fractions, check out this solver.
 Simplify
So the equation that goes through the points ) and ) is
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
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Equations/342710: t-17=42
b+113=122
x+143=171
p-216=243
s-49=28 1 solutions
Answer 245273 by jim_thompson5910(28595) on 2010-09-13 21:04:28 (Show Source):
You can put this solution on YOUR website!I'll do the first two to get you started
# 1
 Start with the given equation.
 Add  to both sides.
 Combine like terms on the right side.
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Answer:
So the solution is
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# 2
 Start with the given equation.
 Subtract  from both sides.
 Combine like terms on the right side.
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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
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Linear-equations/342712: Solve the following system of linear equations,
a) using Substitution
In your submission, include the variable you solved for and the expression you obtained for the variable. Write your answer as an ordered pair.
x+2y=5
2x+y=-2
1 solutions
Answer 245272 by jim_thompson5910(28595) on 2010-09-13 21:02:36 (Show Source):
You can put this solution on YOUR website!
Start with the given system of equations:
Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.
So let's isolate y in the first equation
 Start with the second equation
 Subtract  from both sides
 Rearrange the equation
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Since  , we can now replace each  in the first equation with  to solve for
 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  to
 Multiply
 Combine like terms on the left side
 Add 4 to both sides
 Combine like terms on the right side
 Divide both sides by -3 to isolate x
 Divide
-----------------First Answer------------------------------
So the first part of our answer is:
Since we know that  we can plug it into the equation  (remember we previously solved for  in the first equation).
 Start with the equation where  was previously isolated.
 Plug in
 Multiply
 Combine like terms
-----------------Second Answer------------------------------
So the second part of our answer is:
-----------------Summary------------------------------
So our answers are:
 and
which form the point
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
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