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jim_thompson5910 answered: 28586 problems
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absolute-value/146590: How do you solve 10 - |x + 2| = 12? whats the answer? 1 solutions Answer 107041 by jim_thompson5910(28598)   on 2008-06-27 12:57:59 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract Multiply both sides by -1 to remove the negative sign on the left side. Since the absolute value of any number is always positive, this means that is not possible. So there are no solutions.

absolute-value/146589: How do you solve 10 - |x + 2| = 12? whats the answer? 1 solutions Answer 107040 by jim_thompson5910(28598)   on 2008-06-27 12:57:40 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract Multiply both sides by -1 to remove the negative sign on the left side. Since the absolute value of any number is always positive, this means that is not possible. So there are no solutions.

absolute-value/146592: How do you solve 10 - |x + 2| = 12? whats the answer? 1 solutions Answer 107039 by jim_thompson5910(28598)   on 2008-06-27 12:57:21 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract Multiply both sides by -1 to remove the negative sign on the left side. Since the absolute value of any number is always positive, this means that is not possible. So there are no solutions.

absolute-value/146594: How do you solve 10 - |x + 2| = 12? whats the answer? 1 solutions Answer 107038 by jim_thompson5910(28598)   on 2008-06-27 12:57:10 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract Multiply both sides by -1 to remove the negative sign on the left side. Since the absolute value of any number is always positive, this means that is not possible. So there are no solutions.

absolute-value/146591: How do you solve 10 - |x + 2| = 12? whats the answer? 1 solutions Answer 107037 by jim_thompson5910(28598)   on 2008-06-27 12:55:26 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract Multiply both sides by -1 to remove the negative sign on the left side. Since the absolute value of any number is always positive, this means that is not possible. So there are no solutions.

Equations/146587: Soybean meal is 16% protein; cornmela is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein? How many pounds of the cornmeal should be in the mixture? How many pounds of the soybean should be in the mixture? 1 solutions Answer 107036 by jim_thompson5910(28598)   on 2008-06-27 12:49:51 (Show Source): You can put this solution on YOUR website! let x= # of pounds of soybean meal and y=# of pounds of cornmeal Since we want a 320 mixture, this means that we have the first equation: Also, because we want a "320-lb mixture that is 14% protein" from the mixture of soybean meal that is 16% protein and "cornmeal that is 8% protein, we have the second equation: Multiply Multiply both sides by 10 to remove the decimals Distribute So we have the new system of equations: Start with the first equation Subtract from both sides Rearrange the equation --------------------- Since , we can now replace each in the second 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 Subtract 2560 from both sides Combine like terms on the right side Divide both sides by 8 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 ordered pair So there are 240 pounds of Soybean meal and 80 pounds of cornmeal

Radicals/146580: the radical sign over 3x + 2 = i would think i would just square it to eliminate the radical sign and my answer would be 3x + 2 but i am not completely sure....... in the Answer booklet it provides me 5 possible answers: * will symbolize the radical sign .................................... A. * over 3x and then +2 B. (*3)x + 2 C. 3x + *2 D. *3x + *2 E. None of these ( My answer would be none of these because i think the answer might be 3x +2) PLEASE HELP AND THANK YOU 1 solutions Answer 107034 by jim_thompson5910(28598)   on 2008-06-27 12:12:09 (Show Source): You can put this solution on YOUR website! Are you trying to simplify ??? Well if you try to square the expression, you'll get a totally new expression (ie one that is not equivalent to the original). So this means that you cannot square the expression. In fact, you cannot do anything to . So I would say that is equivalent to E. None of these

Equations/146583: Find the slope, if it exists x=-3 1 solutions Answer 107031 by jim_thompson5910(28598)   on 2008-06-27 12:08:12 (Show Source): You can put this solution on YOUR website! Since this equation is not in slope intercept form, this means that the slope is undefined.

Equations/146584: Solve by the elimination method 3r-2s=-4 2r+3s=32 what is the solution of the system 1 solutions Answer 107029 by jim_thompson5910(28598)   on 2008-06-27 12:07:10 (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 s terms cancel out. Simplify. Divide both sides by to isolate . Reduce. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So our answer is and . Which form the ordered pair . This means that the two equations are consistent and independent.

Equations/146585: solve by the elimination method 2x=3y=1 4x+6y=2 what is the solution of the system 1 solutions Answer 107027 by jim_thompson5910(28598)   on 2008-06-27 12:04:36 (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 -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. Simplify. Since is always true, this means that there are an infinite number of solutions. So the two equations are consistent and dependent.

Systems-of-equations/146579: solve the following system of equatiuons x+3y=5 x=6-3y 1 solutions Answer 107026 by jim_thompson5910(28598)   on 2008-06-27 12:03:18 (Show Source): You can put this solution on YOUR website! Start with the given system 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. Combine like terms on the left side Subtract 6 from both sides Combine like terms on the right side Since this equation is never true for any y value, this means there are no solutions.

Quadratic_Equations/146569: This question is from textbook Beginning Algebra I have to solve using the quadric formula and if there are no real roots , say so. Can you please help me? Page 588 Number 8 x^2 + 9x + 7 = 0 1 solutions Answer 107023 by jim_thompson5910(28598)   on 2008-06-27 11:27:09 (Show Source): You can put this solution on YOUR website! Start with the given equation. Let's use the quadratic formula to solve for x Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . or Break up the expression. So our answers are or which approximate to or

Equations/146573: Help Please? 3x^2x+1=0 x=2+or-1 'Squared'(-2)^+4(3)(1) ______________________ 2(3) THE DIVISION STARTS FROM THE WORD SQUARED 1 solutions Answer 107021 by jim_thompson5910(28598)   on 2008-06-27 11:13:49 (Show Source): You can put this solution on YOUR website! Start with the given equation. Let's use the quadratic formula to solve for x Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) or Break up the expression. or Reduce So our answers are or which approximate to or

Sequences-and-series/146451: Write the linear function for which f (0) = -4 and f (2) = 8. Thank you 1 solutions Answer 106994 by jim_thompson5910(28598)   on 2008-06-27 00:54:30 (Show Source): You can put this solution on YOUR website! I'm afraid that the previous solution is completely off. The equation "3x^2 - 4" is NOT linear. f (0) = -4 tells us that when x=0, then y=-4. So the line goes through the point (0,-4) f (2) = 8 tells us that when x=2, then y=8. So the line goes through the point (2,8) So let's find the equation of the line that goes through the points (0,-4) and (2,8) First let's find the slope through the points and Start with the slope formula. Plug in , , , , , 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 Subtract 4 from 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 Note: as further confirmation, the graph is a straight line. So this tells us that the equation is linear.

Rational-functions/146548: Divide. Sqrt (50) / Sqrt (-5) sqrt of 50 divided by sqrt of -5. I did the sqrt of 50 = 5 sqrt(2) Sqrt (-5) = -5 Multiplied 5 and 2 to get 10. I came up with the solution of -Sqrt (10). Not sure if it is sqrt (10) or - Sqrt (10). Hope I did not confuse you with my jibberish. Thanks! 1 solutions Answer 106993 by jim_thompson5910(28598)   on 2008-06-27 00:49:03 (Show Source): You can put this solution on YOUR website! Start with the given expression Multiply the numerator and denominator by Combine the fractions Rewrite as Multiply to get Replace with -1 and multiply Combine and multiply the roots in the numerator Simplify the numerator Reduce

Rational-functions/146549: Use product rule to multiply. sqrt (72) * sqrt (2) My solution was to multiply sqrt (72) *sqrt (2) = sqrt 144 which is simplified to 12. Not sure if it should be simplified to 144 or 12. Thanks! 1 solutions Answer 106992 by jim_thompson5910(28598)   on 2008-06-27 00:43:00 (Show Source): You can put this solution on YOUR website!

Systems-of-equations/146544: -7x+6y=59 -8x+6y=58 1 solutions Answer 106987 by jim_thompson5910(28598)   on 2008-06-26 23:14:30 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the second equation by -1. 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 y terms cancel out. Simplify. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So our answer is and . Which form the ordered pair . This means that the two equations are consistent and independent. Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer. Graph of (red) and (green)

Linear-equations/146541: Please write the linear function for which f (3) =6 and f (-4) =2 Thank you 1 solutions Answer 106974 by jim_thompson5910(28598)   on 2008-06-26 20:46:03 (Show Source): You can put this solution on YOUR website! f (3) =6 tells us that when x=3, then y=6. So we know that the equation goes through the point (3,6) f (-4) =2 tells us that when x=-4, then y=2. So we know that the equation goes through the point (-4,2) So let's find the equation of the line that goes through the points (3,6) and (-4,2) First let's find the slope through the points and Start with the slope formula. Plug in , , , , , 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 Distribute Multiply Add 6 to 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 Notice how the graph of goes through the points and . So this visually verifies our answer. Graph of through the points and

Linear-systems/146537: Please help! Tell whether the given ordered triple is a solution of the system. 1) (5, -2, 2) 2x-y+z=5 x+2y-z=-1 -2x+y-3z=-15 2) (1, -1, 3) 4x+2y+3z=11 x-2y+z=6 2x+y+2z=7 Thanks so much! 1 solutions Answer 106973 by jim_thompson5910(28598)   on 2008-06-26 20:43:45 (Show Source): You can put this solution on YOUR website! 1) ------------------ Let's test the first equation ------------------ Start with the first equation. Plug in , , and . Evaluate and simplify the left side. Since the equation is not true, this means that (5, -2, 2) is not a solution to the system. Remember, a solution has to satisfy all of the equations in the system. 2) ------------------ Let's test the first equation ------------------ Start with the first equation. Plug in , , and . Evaluate and simplify the left side. Notice how the equation is true. ------------------ Now let's test the second equation ------------------ Start with the second equation. Plug in , , and . Evaluate and simplify the left side. Notice how the equation is true. ------------------ Now let's test the third equation ------------------ Start with the third equation. Plug in , , and . Evaluate and simplify the left side. Notice how the equation is true. Since all of the equations in the system are true, this means that (1, -1, 3) is a solution.

Rational-functions/146533: If anyone could help me out with these graphing questions, I would REALLY appreciate it! I'm completely lost! Thank you so much! Graph the equation: a) y= 3x + 2 b) y= -x c) y= 1/2x + 2 d) y= x+2 e) y= -1/4x - 1 f) y= 3x+3 g) -3y= 6x h) -5x + 3y -15 = 0 i) 2x + y = 3 j) x-2y+2=0 If you could just show me how to do a few of these (like how to start them out) I think I'd be able to figure it out. I just wanted to give some examples of what I'm doing. 1 solutions Answer 106972 by jim_thompson5910(28598)   on 2008-06-26 20:35:23 (Show Source): You can put this solution on YOUR website! Anytime you want to graph an equation, you NEED to solve for "y" first. So for problems g, h, i, and j, you need to solve for y I'll do the first 3 to get you started. a) Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1 So starting at , go up 3 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and b) Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is note: really looks like Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -1 and the run is 1. This means that to go from point to point, we can go down 1 and over 1 So starting at , go down 1 unit and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and c) Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2 So starting at , go up 1 unit and to the right 2 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Linear-equations/146534: Find the slope and the y- intercept of the line. Graph the line. -2x + y = 5 1 solutions Answer 106971 by jim_thompson5910(28598)   on 2008-06-26 20:32:47 (Show Source): You can put this solution on YOUR website! Start with the given equation Add to both sides Rearrange the equation Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1 So starting at , go up 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Graphs/146535: Please help, I'm so confused! Write an equation of the line that has the given slope and y-intercept. 1) m = 3, b = -4 2) m = 0, b = -5 1 solutions Answer 106970 by jim_thompson5910(28598)   on 2008-06-26 20:31:12 (Show Source): You can put this solution on YOUR website! The equation of any line in slope intercept form is #1 Start with the general equation of a line Plug in m = 3, b = -4 Simplify I'll let you do the other one.

Rational-functions/146498: z^2-7z+10/z^2+4z-45 1 solutions Answer 106964 by jim_thompson5910(28598)   on 2008-06-26 19:37:50 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Highlight the common terms. Cancel out the common terms. Simplify. So simplifies to . In other words, where or

Linear-systems/146532: Solve the system of Equations 2/5x + 3/5y = 16/5 4x + 2y = 40 I know that some way you have to eliminate the fractions in the first equations. Where I am stuck at is how to eliminate the fractions and what type of method to use to solve it. 1 solutions Answer 106963 by jim_thompson5910(28598)   on 2008-06-26 19:32:23 (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 the LCD 5. Distribute and multiply. Now multiply the both sides of the first 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. Divide both sides by to isolate . Reduce. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So our answer is and . Which form the ordered pair . This means that the two equations are consistent and independent. Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer. Graph of (red) and (green)

Equations/146529: 5y/14-8=5-2y/7 1 solutions Answer 106959 by jim_thompson5910(28598)   on 2008-06-26 18:40:03 (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. 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 . ---------------------------------------------------------------------- Answer: So the answer is Which approximates to

Inequalities/146526: This question is from textbook Please help me with the following question: Graph each inequality x/5 + y/4 <1 1 solutions Answer 106957 by jim_thompson5910(28598)   on 2008-06-26 18:22:51 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Replace the inequality sign with an equals sign. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Divide both sides by to isolate . Rearrange the terms. So in order to plot or (which is the same thing), we need to plot the equation first. (note: if you need help with graphing, check out this solver) Graph of Now plug in a test point (0,0) into the inequality Start with the given inequality. Plug in and Evaluate and simplify. Since the inequality is true, this means that we shade the entire region that contains the point (0,0) In other words, we simply shade the entire region that is below the line. Graph of with the shaded region in green

Average/146524: I'm not sure that is correct. I am trying to figure how long it will take me to pay for a scooter if I purchase it. The equation I'm trying to solve is as follows. .05x+1295=20x Thank You 1 solutions Answer 106955 by jim_thompson5910(28598)   on 2008-06-26 17:16:18 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by 100 to clear out the decimals. Distribute and multiply. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is Which approximates to

Rational-functions/146499: 7-1/t=6/t^2 1 solutions Answer 106953 by jim_thompson5910(28598)   on 2008-06-26 17:05:52 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply every term by the LCD Multiply and simplify. Subtract 6 from both sides. Notice we have a quadratic equation in the form of where , , and Let's use the quadratic formula to solve for t 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 our answers are or

Geometry_Word_Problems/146493: hello again guys...!Here's my question: A vertical pole was broken by the wind. The upper part, still attached, reached a point on the level ground 15 feet from the base. If the upper part is 9 feet longer than the lower part, how tall was the pole? 1 solutions Answer 106942 by jim_thompson5910(28598)   on 2008-06-26 16:32:49 (Show Source): You can put this solution on YOUR website! Let x=length of the lower part If you draw the triangle, you'll get So we can use Pythagoreans theorem: where a and b are the legs of the triangle and c is the hypotenuse Plug in , and Square 15 to get 225 FOIL Get all terms to the left side. Combine like terms. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the length of the lower part is 8 feet. Now let's find the length of the upper part: Start with the expression for length of the upper part Plug in So the length of the upper part is 17 feet This means that the total length is feet

Rational-functions/146497: 7z^6/10z^5 1 solutions Answer 106937 by jim_thompson5910(28598)   on 2008-06-26 16:16:12 (Show Source): You can put this solution on YOUR website! Start with the given expression. Divide the coefficients and to get When you divide monomials, simply subtract the exponents. Subtract. So .

Linear-systems/146516: please solve this linear equation using elimination. 5x/12 - y/6 = 3 x + 2y = 0 1 solutions Answer 106928 by jim_thompson5910(28598)   on 2008-06-26 13:49:51 (Show Source): You can put this solution on YOUR website! Start with the first equation. Multiply both sides by the LCD 12 Distribute and multiply So we now have the system of equations: Now add the equations together. In order to add 2 equations, group like terms and combine them Combine like terms and simplify Notice how the y terms cancel out Simplify Divide both sides by to isolate x Reduce Now plug this answer into the top equation to solve for y Start with the first equation Plug in Multiply Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So our answer is and which also looks like Now let's graph the two equations (if you need help with graphing, check out this solver) From the graph, we can see that the two equations intersect at . This visually verifies our answer. graph of (red) and (green) and the intersection of the lines (blue circle).