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 Polynomials-and-rational-expressions/147246: I need to divide and simplify this equation and I'm not exactly sure what to do? 5w-25/121 divided by w-5/77w I start with 5w-25/121 times 77w/w-5 but I'm not sure where to go from there I would really appreciate any help with this, thanks!1 solutions Answer 107611 by jim_thompson5910(28476)   on 2008-07-05 13:36:21 (Show Source): You can put this solution on YOUR website! Start with the given expression. Multiply the first fraction by the reciprocal of the second fraction . Factor to get . Factor 121 to get Factor to get Combine the fractions. Highlight the common terms. Cancel out the common terms. Simplify. Multiply. So simplifies to . In other words, where or
 Equations/147238: 7+5(x-3)=3(x+2)1 solutions Answer 107609 by jim_thompson5910(28476)   on 2008-07-05 13:04:40 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. 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 answer is
 Numbers_Word_Problems/147235: Three times the sum of 8 and twice an unknown number is equal to 4 times the sum of 3 times the unknown number and 8. Find the number. I got 2.66, but it doesn't work. Also, what does "4 times the sum of 3 times the uknown number" mean mathmatically? 1 solutions Answer 107602 by jim_thompson5910(28476)   on 2008-07-05 12:22:51 (Show Source): You can put this solution on YOUR website!The statement "Three times the sum of 8 and twice an unknown number " translates to and the statement "4 times the sum of 3 times the unknown number and 8" translates to . Altogether they form the equation Start with the given equation. Distribute. 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 answer is Which approximates to
 Numbers_Word_Problems/147234: When 3 times the sum of 4 and an unknown number is subtracted from 10 times the unknown number, the results is equal to 5 time the sum of 9 and twice the unknown number. Find the number. My equation is: 3(4+x) = 5(9+2x). When I solve this I get a fraction, which does not work. HELP!!!1 solutions Answer 107600 by jim_thompson5910(28476)   on 2008-07-05 12:19:21 (Show Source): You can put this solution on YOUR website!You're on the right track, but you forgot to include the portion "is subtracted from 10 times the unknown number". So the equation should be Distribute. Combine like terms on the left side. 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 answer is which means that the unknown number is -19.
 Graphs/147230: This question is from textbook algebra I need help, if you may. It says without drawing the graph of the given equation, determine: How many x-intercepts the parabola had and whether its vertex lies above or below or on the x-axis. y=x^2-5x+6 Thank you=)1 solutions Answer 107599 by jim_thompson5910(28476)   on 2008-07-05 12:15:31 (Show Source): You can put this solution on YOUR website!To figure out how many x-intercepts there are, we need to find out how many solutions there are. So let's use the discriminant formula . From we can see that , , and Start with the discriminant formula Plug in , , and Square to get Multiply to get Subtract from to get Since the discriminant is greater than zero, this means that there are two real solutions. So there are two distinct x-intercepts. As a quick note, since there are two distinct x-intercepts, this means that the vertex cannot be on the x-axis. So it is either above or below the x-axis. --------------------------------------------- To find out if the vertex is above or below the x-axis, we need to find the y-coordinate of the vertex. To do that, we need to find the x-coordinate of the vertex. So let's use this formula to find the x-coordinate of the vertex. From the equation we can see that a=1 and b=-5 Plug in b=-5 and a=1 Negate -5 to get 5 Multiply 2 and 1 to get 2 So the x-coordinate of the vertex is . Lets plug this into the equation to find the y-coordinate of the vertex. Start with the given polynomial Plug in Square to get Multiply 5 by to get Now combine like terms So the vertex is Since the y-coordinate of the vertex is , this means that the vertex is below the x-axis
 Quadratic_Equations/147227: Explain how the quadratic formula can be used to factor a quadratic polynomial into two binomials using this equation. I am not so interested in the solution as I am interested in the explanation of the steps in factoring this equation into two binomials. 5x² + 8x + 3. 1 solutions Answer 107598 by jim_thompson5910(28476)   on 2008-07-05 12:07:32 (Show Source): You can put this solution on YOUR website!It turns out that the solutions to any quadratic will form the factors of the quadratic itself. So let's say that we want to factor . We know that this factors to . But if we didn't know that, we can use the quadratic formula to find the solutions and . From there, we need to get all terms to one side to get and . Now just combine the two equations into one like this (note: this is using the zero product property in reverse).
 Equations/147232: This question is from textbook algebra I have no idea what I am doing wrong with this question. This question is having to tranform equations: Multiplication and division the problem is 1/2x=3 5/6 I tried solving this so many times now, and I always end up with 23. I am wondering what I am doing wrong. Thank you=)1 solutions Answer 107596 by jim_thompson5910(28476)   on 2008-07-05 11:58:50 (Show Source): You can put this solution on YOUR website! Start with the given equation. Convert the mixed number into the improper fraction Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the answer is Which approximates to
 Linear-equations/147233: This all new to me. How do I find the slope that is passsing through (2,5) and 3,10). Please explain how I go about figuring this out.1 solutions Answer 107595 by jim_thompson5910(28476)   on 2008-07-05 11:55:55 (Show Source): You can put this solution on YOUR website!Note we're going to let , , , . This means that the two points and are the points (2,5) and (3,10) 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
 Graphs/147216: When solving a system of equations, how do I know what numbers to put in place of x and y? An example is: 2x – 6y = 42 3x – 9y = -15 I am to solve similar systems of equations but I do not understand what nubers to replace the variables with. Can you help? Thank you very much. 1 solutions Answer 107577 by jim_thompson5910(28476)   on 2008-07-04 20:42:39 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by -3. Distribute and multiply. Multiply the both sides of the second equation by 2. Distribute and multiply. So we have the new system of equations: Now 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. Notice how the x terms cancel out. Simplify. Since is never true, this means that there are no solutions. So the two equations are inconsistent.
 Graphs/147213: Solve the following compound inequality and write down the solution in interval notation: 2x – 4 < 0 or 6 – x < 31 solutions Answer 107570 by jim_thompson5910(28476)   on 2008-07-04 18:38:28 (Show Source): You can put this solution on YOUR website! Let's solve the first inequality : Start with the first inequality. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. --------------------------------------------------------------------- Now let's solve the second inequality : Start with the second inequality. 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. So our answer is or So the solution in interval notation is: () ()
 percentage/147212: Please help me setting this equation correctly. Highly appreciated. A woman buys three pairs of jeans for $99.84, including tax. If each pair of jeans cost$32, what was the sales tax rate? x= sales tax rate x= 99.84-32(3) x= 99.84-96 x= 3.84 % ???? Thanks for sharing your knowledge.1 solutions Answer 107561 by jim_thompson5910(28476)   on 2008-07-04 17:04:38 (Show Source): You can put this solution on YOUR website!Let t=sales tax If she bought one item at \$32, then the total cost is Multiply both sides by 3 (since she bought 3 pairs) Replace 3c with the given total cost. Distribute. Subtract 96 from both sides. Divide both sides by 96 to isolate t So the answer is which means that the sales tax is 4%
 Geometry_proofs/147137: 3(3x – 7) = 6 if this is the give in a two columb proof, then what is the rest of the answer1 solutions Answer 107555 by jim_thompson5910(28476)   on 2008-07-04 15:57:21 (Show Source): You can put this solution on YOUR website!I'm not sure what you want to do about the proofs, but I'm assuming that you want to solve for x. Start with the given equation. Distribute. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is
 Square-cubic-other-roots/147207: sqrt of x-6 - sqrt of x-6 = 2 I got this: sqrt of -x+6 - sqrt x-6 = 2 sqrt of -x+6 - sqrt -x+6 = 2 answer of 0=2, so the final answer is 0. I am supposed to check for extraneous answers also. Are my calculations correct? How do I figure for extraneous answers? Thank you for your help.1 solutions Answer 107554 by jim_thompson5910(28476)   on 2008-07-04 15:55:08 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Since this equation is never true for any x value, this means there are no solutions.
 Graphs/147206: I need to describe what the graph of interval [-4,10] looks like. I do not even know how to begin to answer the question. Please help me get on the right track!!1 solutions Answer 107553 by jim_thompson5910(28476)   on 2008-07-04 15:41:40 (Show Source): You can put this solution on YOUR website!The graph is simply a shaded line from -4 to 10 where there are closed circles at -4 and 10. So the graph looks like this: Graph of the solution set Note: There is a closed circle at which means that we're including this value in the solution set Also, there is a closed circle at which means that we're including this value in the solution set.
 sets-and-operations/147196: This is actually supposed to be a formula but what are the formula's for the distance formula on a (xy) Plane ( 2D, and the Midpoint formula on a (x,y) plane, (2d) . Is it the same formula on a number line?1 solutions Answer 107546 by jim_thompson5910(28476)   on 2008-07-04 15:19:04 (Show Source): You can put this solution on YOUR website!Distance formula where and are the two points. Midpoint Formula: Find x-coordinate of midpoint Find y-coordinate of midpoint So the midpoint between the points and is These formulas work on the number line as well. Just make each y-coordinate equal to zero. So if you want find the distance between 4 and 10. Think of them as the points (4,0) and (10,0) and find the distance between the two points. Although, you can simply subtract 4 from 10 to get 6 (which is the distance).