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jim_thompson5910 answered: 28586 problems
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Polynomials-and-rational-expressions/228293: E-mail- pretygurl721@yahoo.com. Hi im having touble with these kinds of questions and i have a test that i really need to pass tomorrow can you please help me. Thank you. Problem is : 5x-3+2x=3+x-12 , 5y+8+3y+5=6y-3, and -6/5x=-18 1 solutions Answer 169493 by jim_thompson5910(28598)   on 2009-10-18 15:52:37 (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. Combine like terms on the left side. Combine like terms on the right 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 solution is # 2 Start with the given equation. Combine like terms on the left side. 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 solution is

Equations/228295: how do i slove 7-2n=n-14 and 2(4-2r)=-2(r+5) 1 solutions Answer 169492 by jim_thompson5910(28598)   on 2009-10-18 15:51:12 (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. ---------------------------------------------------------------------- Answer: So the solution is

Equations/228273: solve it plz 12-4(p-4)=3p 1 solutions Answer 169486 by jim_thompson5910(28598)   on 2009-10-18 15:26:24 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. 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 solution is

Equations/228257: how do I solve 5p/7-18=-43 1 solutions Answer 169481 by jim_thompson5910(28598)   on 2009-10-18 14:53:23 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply EVERY term by the LCD to clear any fractions. Multiply and simplify. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Linear-equations/228255: I dont know how to find the r in (5,r) and (2,-3) m= 4/3. I've tried it over and over and i cant get it. 1 solutions Answer 169480 by jim_thompson5910(28598)   on 2009-10-18 14:51:03 (Show Source): You can put this solution on YOUR website! Hint: remember that the formula is used to find the slope. In this case, is the first point which means and . Also is the second point which means that and . Now plug these values along with into the given slope formula to get: I'll let you solve for 'r' from here.

Equations/228254: (15+w)-2+(15+w)-2+w+5+w+5=72 1 solutions Answer 169478 by jim_thompson5910(28598)   on 2009-10-18 14:47:47 (Show Source): You can put this solution on YOUR website! Start with the given equation. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Linear-equations/228238: Write an equation in slope-intercept and standard form for a graph that passes through (-7,7) and (9,-1). 1 solutions Answer 169476 by jim_thompson5910(28598)   on 2009-10-18 14:46:27 (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 7 to both sides. Combine like terms. 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

Equations/228252: 7w-3(4w+8)=11 1 solutions Answer 169472 by jim_thompson5910(28598)   on 2009-10-18 14:40:37 (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. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

absolute-value/228187: solve and graph [3x - 8] >2 I used "[]" in the replacement of the ABSLOUTE VALUE bars I couldn't find them on the key board 1 solutions Answer 169451 by jim_thompson5910(28598)   on 2009-10-18 12:55:20 (Show Source): You can put this solution on YOUR website! Start with the given inequality Break up the absolute value (remember, if you have , then or ) or Break up the absolute value inequality using the given rule Now lets focus on the first inequality Start with the given inequality Add 8 to both sides Combine like terms on the right side Divide both sides by 3 to isolate x Divide Now lets focus on the second inequality Start with the given inequality Add 8 to both sides Combine like terms on the right side Divide both sides by 3 to isolate x Reduce ---------------------------------------------------- Answer: So our answer is or which looks like this in interval notation if you wanted to graph the solution set, you would get Graph of the solution set in blue and the excluded values represented by open circles

Quadratic_Equations/228192: solve for X by using quadratic formula. 3x2+x-2=0 1 solutions Answer 169449 by jim_thompson5910(28598)   on 2009-10-18 12:53:02 (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

Equations/228199: 3(y-1)-1 = 2-5(y+5) solve 1 solutions Answer 169445 by jim_thompson5910(28598)   on 2009-10-18 12:44:20 (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 . ---------------------------------------------------------------------- Answer: So the solution is which in decimal form is .

Linear-systems/228088: The difference between two numbers is 9. The sum of twice the larger number and three times the smaller number is 33. Find the two numbers. i came up with this... x-y=9 2x+3y=33 1 solutions Answer 169405 by jim_thompson5910(28598)   on 2009-10-18 01:41:09 (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. 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. 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 the solutions are and . Which form the ordered pair . This means that the system is 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/227920: state the slope of (-6,5) and (3,5) 1 solutions Answer 169326 by jim_thompson5910(28598)   on 2009-10-17 16:24:52 (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

Proofs/227925: I need help finishing this proof. Pv~R,~R->S,~P|- S&~R 1 (1) Pv~R A 2 (2) ~R->S A 3 (3) ~P A 1 solutions Answer 169325 by jim_thompson5910(28598)   on 2009-10-17 16:23:34 (Show Source): You can put this solution on YOUR website! 1. P v ~R 2. ~R -> S 3. ~P / S & ~R --------------------------- 4. ~R 1,3 Disjunctive Syllogism 5. S 2,4 Modus Ponens 6. S & ~R 5,4 Conjunction

logarithm/227953: Solve for x: log2(log4(log5x))=-1 * the 2,4, and 5 are in the subscript therefore are the log, I am not sure if I should be converting to log ten first or how to start this problem. 1 solutions Answer 169323 by jim_thompson5910(28598)   on 2009-10-17 16:20:59 (Show Source): You can put this solution on YOUR website! Remember that can be converted to the form Start with the given equation. Use the property described above. Rewrite as Rearrange the equation. Use the property described above. Convert to radical notation. Take the square root of 4 to get 2. Rearrange the equation. Use the property described above. Square 5 to get 25 So the answer is

Proofs/227929: I need help solving this proof. P,QvR,~RvS,~Q |- P&S 1 (1) P A 2 (2) QvR A 3 (3) ~RvS A 4 (4) ~Q A 1 solutions Answer 169321 by jim_thompson5910(28598)   on 2009-10-17 16:13:16 (Show Source): You can put this solution on YOUR website! 1. P 2. Q v R 3. ~R v S 4. ~Q / P & S --------------------------------- 5. R 2,4 Disjunctive Syllogism 6. ~~R 5 Double Negation 7. S 3,6 Disjunctive Syllogism 8. P & S 1,7 Conjunction

Proofs/227930: I need help finishing this proof. (P<->Q)->R,P->Q,Q->P |-R 1 (1) (P<->Q)->R A 2 (2) P->Q A 3 (3) Q->P A 1 solutions Answer 169319 by jim_thompson5910(28598)   on 2009-10-17 16:09:52 (Show Source): You can put this solution on YOUR website! 1. (P<->Q)->R 2. P->Q 3. Q->P / R -------------------------------- 4. (P->Q) & (Q->P) 2,3 Conjunction 5. P<->Q 4 Material Equivalence 6. R 1,5 Modus Ponens

Inequalities/227941: graph the solution of the inequality on the number line y>2 1 solutions Answer 169318 by jim_thompson5910(28598)   on 2009-10-17 16:06:48 (Show Source): You can put this solution on YOUR website! Just plot an open circle at and shade everything to the right like so:

Linear-systems/227942: Can you pls help me solve the system? 2x+5y=1 -x+6y=8 1 solutions Answer 169317 by jim_thompson5910(28598)   on 2009-10-17 16:05:48 (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 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. 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 the solutions are and . Which form the ordered pair . This means that the system is 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)

Exponents-negative-and-fractional/227949: How do I solve (xy)(-xy)? 1 solutions Answer 169316 by jim_thompson5910(28598)   on 2009-10-17 16:04:50 (Show Source): You can put this solution on YOUR website!

Quadratic_Equations/227950: Please help me solve this equation x^2-2x-13=0. 1 solutions Answer 169315 by jim_thompson5910(28598)   on 2009-10-17 16:04:21 (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 Rewrite as Add to to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) Break up the fraction. Reduce. or Break up the expression. So the solutions are or which approximate to or

Quadratic_Equations/227951: Please help me solve this equation: 1 solutions Answer 169314 by jim_thompson5910(28598)   on 2009-10-17 16:03:49 (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 . 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 the solutions are or Note: if you have no idea what the 'i' terms are all about, then you probably haven't learned about imaginary numbers yet. If that's the case, then there are no solutions to this problem.

Linear_Equations_And_Systems_Word_Problems/227736: I need help solving this equation: 1 solutions Answer 169202 by jim_thompson5910(28598)   on 2009-10-16 21:44:27 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract 9a from both sides. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "a": 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

Distributive-associative-commutative-properties/227737: How do I simplify this problem? 4{3[5(y-3)+9]+2(y+8)} 1 solutions Answer 169201 by jim_thompson5910(28598)   on 2009-10-16 21:43:37 (Show Source): You can put this solution on YOUR website! 4{3[5(y-3)+9]+2(y+8)} ... Start with the given expression. 4{3[5y-15+9]+2y+16} ... Distribute. 4{3[5y-6]+2y+16} ... Combine like terms. 4{15y-18+2y+16} ... Distribute again. 4{17y-2} ... Combine like terms. 68y-8 ... Distribute for the final time. So 4{3[5(y-3)+9]+2(y+8)}=68y-8

Quadratic_Equations/227735: I need help solving this equation: 1 solutions Answer 169199 by jim_thompson5910(28598)   on 2009-10-16 21:40:57 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract 7u from both sides. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "u": 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 solutions are or

Polynomials-and-rational-expressions/227697: How to multiply polynomials. 1 solutions Answer 169149 by jim_thompson5910(28598)   on 2009-10-16 18:29:06 (Show Source): You can put this solution on YOUR website! See this solver if you need help with multiplying polynomials.

Travel_Word_Problems/227694: Some friends decided to make a week-long bike trip, with some of them leaving or joining the trip along the way. Two-thirds of the group wanted to try and go the entire distance. After the first day 1/3 of the bikers left. On the second day they got 8 new bikers. At the end of the second day they lost 3/7 of the group. On the third day they gained 2 new bikers and at the end of the day 2/5 of the group left. Five new bikers joined up on the fourth day and they lost 3 at the end of the day. On the fifth day they picked up 4, and then lost 1/4 of the total group. On the sixth day they got 4 new ones and at the end of the day 6 departed. On the seventh day, 7 bikers finished the trip. Did the group that wanted to go the whole way make it? Show your work. 1 solutions Answer 169147 by jim_thompson5910(28598)   on 2009-10-16 18:26:45 (Show Source): You can put this solution on YOUR website! See this previous solution.

Equations/227688: Please help me solve for d in the equation d+7=3/2d+5 I am not sure exactly what to multiply by the LCD to solve. Is 2 the correct LCD? 1 solutions Answer 169142 by jim_thompson5910(28598)   on 2009-10-16 17:42:20 (Show Source): You can put this solution on YOUR website! You are correct. The LCD is 2. Start with the given equation. Multiply EVERY term by the LCD to clear any fractions. Multiply and simplify. 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 solution is

Quadratic_Equations/227578: 9x^2 = 12x - 2 1 solutions Answer 169140 by jim_thompson5910(28598)   on 2009-10-16 17:39:10 (Show Source): You can put this solution on YOUR website! Start with the given equation. Get every term to the left side. 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 . 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 the solutions are or which approximate to or

Quadratic_Equations/227579: 2x^2 - 3x - 1 = 0 x^2 = 8x -5 1 solutions Answer 169139 by jim_thompson5910(28598)   on 2009-10-16 17:37:50 (Show Source): You can put this solution on YOUR website! I'll do the first one to get you going 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 Rewrite as Add to to get Multiply and to get . or Break up the expression. So the solutions are or which approximate to or

Quadratic_Equations/227577: Solve -5x^2 + 10x = -3 1 solutions Answer 169138 by jim_thompson5910(28598)   on 2009-10-16 17:36:35 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add 3 to both sides. 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 . 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 the solutions are or which approximate to or