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Linear-equations/179006: find the equation of the line that passes through the points (3,7) and (-4,0). 1 solutions Answer 133941 by jim_thompson5910(28717)   on 2009-01-28 16:21:18 (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 and is the second point . 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 Distribute Multiply Add 7 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

Functions/178998: This question is from textbook I need help evaluating this function. Given f(x)=1/[x], find f(2)+f(-2) and find f(c^2+4). I don't understand. 1 solutions Answer 133940 by jim_thompson5910(28717)   on 2009-01-28 16:20:17 (Show Source): You can put this solution on YOUR website! "Given f(x)=1/[x], find f(2)+f(-2)" Is the function ? (ie is the right side 1 over the absolute value of "x")??? If so, then... Let's find f(2) Start with the given function Plug in Take the absolute value of 2 to get 2 ------------------------------- Let's find f(-2) Start with the given function Plug in Take the absolute value of -2 to get 2 Now let's add f(2) to f(-2): So ---------------------------------------------------------- "Given f(x)=1/[x], find f(c^2+4)" Start with the given function Plug in From here, there's not much you can do to simplify.

Equations/178991: 4t-5=10-t 1 solutions Answer 133936 by jim_thompson5910(28717)   on 2009-01-28 16:11:38 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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

Linear-equations/178994: This question is from textbook write an equation in point slope form and standard form of the line that passes through the given points: (-5,2),(-4,3) 1 solutions Answer 133935 by jim_thompson5910(28717)   on 2009-01-28 16:10:16 (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 and is the second point . 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 in slope intercept form that goes through the points and is Now let's convert to standard form: Start with the given equation. Subtract from both sides. Rearrange the terms. Multiply EVERY term by -1 to make the x coefficient positive. ====================================================== Answer: So the slope intercept equation is and the standard equation is

Graphs/178974: find slope of the line passing through the pair of points or state the slope is undefined (-5,-1), (4,9) 1 solutions Answer 133917 by jim_thompson5910(28717)   on 2009-01-28 14:12:10 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: Finding the slope Slope of the line through the points (-5, -1) and (4, 9) Answer: Slope is

Equations/178961: This question is from textbook Beginning & Intermediate Algebra Evluate 3 to the three power 1 solutions Answer 133910 by jim_thompson5910(28717)   on 2009-01-28 13:23:24 (Show Source): You can put this solution on YOUR website! Here's what's happening: So

Polynomials-and-rational-expressions/178968: Find all real solutions of the following equation. (x + 3)5 - 4(x + 3)3 = 0 x =__ (smallest solution) x =___ x = ___ (largest solution) i cant seem to figure out how to do this! Help! thanks 1 solutions Answer 133908 by jim_thompson5910(28717)   on 2009-01-28 13:10:21 (Show Source): You can put this solution on YOUR website! Start with the given equation. Let Replace each "x+3" with "z". Factor out the GCF (note: you can avoid the substitution, but factoring is much easier to see) Factor into by use of the difference of squares formula , , or Set each factor equal to zero , , or Solve for "z" in each case , , or Plug in (remember, we want to solve for "x") , , or Subtract 3 from both sides (for each equation) , , or Combine like terms. ------------------------------------------ Answer: So the solutions are , , or Note: if you plug in any solution into the given equation and simplify, you should get . If you do this to all of the solutions, then this will verify the answer.

Graphs/178964: A line has a slope of 7. For each pair of points that are on the line (3,-6) and (7,y) , use the slope formula to find the missing coordinate. I know that y=22 but I do not know how or the steps used to get the answer y=22 1 solutions Answer 133905 by jim_thompson5910(28717)   on 2009-01-28 13:01:58 (Show Source): You can put this solution on YOUR website! Note: is the first point (3, -6) and is the second point (7, y) Start with the slope formula Plug in (the given slope) , , , and (the coordinates of the given points) Rewrite as Subtract Multiply both sides by 4 Multiply Subtract 6 from both sides. Combine like terms. So the answer is

Square-cubic-other-roots/178941: This question is from textbook algebra structure and method can you please help me express in simplest radical form:((( (square root sign3 - square root sign5)(square root sign3 - square root sign5) ))) 1 solutions Answer 133898 by jim_thompson5910(28717)   on 2009-01-28 11:45:38 (Show Source): You can put this solution on YOUR website! Start with the given expression Let and Replace each with "a" and each with "b" FOIL Combine like terms. Combine like terms. Plug in and Multiply and combine the radicals Square to get 3 and square to get 5 Combine like terms. ------------------------------------------------- Answer: So

Radicals/178942: This question is from textbook algebra structure and method can you please help me express in simplest radical form: ((( (square root sign2 - 3)(square root sign2 + 3) ))) 1 solutions Answer 133896 by jim_thompson5910(28717)   on 2009-01-28 11:40:05 (Show Source): You can put this solution on YOUR website! Start with the given expression Let and Replace each with "a" and each "3" with "b" FOIL Combine like terms. Plug in and Square to get 2 and square 3 to get 9 Combine like terms. ------------------------------------------------- Answer: So

Rational-functions/178863: x^2-4 ------ x^2+6x+9 times x^2-9 -------- x^2+4x+4 i need to simplify this and find the restrictions. thank you so much for your help 1 solutions Answer 133813 by jim_thompson5910(28717)   on 2009-01-27 21:00:02 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Factor to get . Factor to get . Combine the fractions. Highlight the common terms. Cancel out the common terms. Simplify. FOIL So simplifies to . In other words, where or (these are the restricted values)

Numeric_Fractions/178861: Could you please help me with these fractions: Find the lowest terms of the following fractions 1) 4/16 = 2) 8/56 = 3) 3/27 = 4) 15/45 = Thank you so much!!!!!!!!!!!!!! 1 solutions Answer 133807 by jim_thompson5910(28717)   on 2009-01-27 20:39:13 (Show Source): You can put this solution on YOUR website! # 1 Solved by pluggable solver: Reducing Fractions Calculator In order to reduce , the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal. In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of and is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by In other words, to reduce the fraction you do this Plug in the numerator, denominator, and the GCF Now divide 4 by 4 to get 1. This is now the new numerator. Now divide 16 by 4 to get 4. This is now the new denominator. So This means that reduces to In other words, --------------------------------- # 2 Solved by pluggable solver: Reducing Fractions Calculator In order to reduce , the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal. In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of and is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by In other words, to reduce the fraction you do this Plug in the numerator, denominator, and the GCF Now divide 8 by 8 to get 1. This is now the new numerator. Now divide 56 by 8 to get 7. This is now the new denominator. So This means that reduces to In other words, --------------------------------- # 3 Solved by pluggable solver: Reducing Fractions Calculator In order to reduce , the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal. In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of and is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by In other words, to reduce the fraction you do this Plug in the numerator, denominator, and the GCF Now divide 3 by 3 to get 1. This is now the new numerator. Now divide 27 by 3 to get 9. This is now the new denominator. So This means that reduces to In other words, --------------------------------- # 4 Solved by pluggable solver: Reducing Fractions Calculator In order to reduce , the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal. In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of and is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by In other words, to reduce the fraction you do this Plug in the numerator, denominator, and the GCF Now divide 15 by 15 to get 1. This is now the new numerator. Now divide 45 by 15 to get 3. This is now the new denominator. So This means that reduces to In other words, --------------------------------- If you need more help with reducing fractions, check out this solver.

Polynomials-and-rational-expressions/178843: Multiply: (5√[3] + √[5])(√[3] – 2√[5]) 1 solutions Answer 133798 by jim_thompson5910(28717)   on 2009-01-27 19:42:19 (Show Source): You can put this solution on YOUR website! Start with the given expression. Now let's FOIL the expression. Remember, when you FOIL an expression, you follow this procedure: Multiply the First terms:. Multiply the Outer terms:. Multiply the Inner terms:. Multiply the Last terms:. --------------------------------------------------- Now collect every term to make a single expression. Now combine like terms. So FOILs to . In other words, .

Polynomials-and-rational-expressions/178842: x^2-5x+4 -------- x^2-1 times x^2+5x+4 -------- x^2-9 hi i need to simplify this and list any restrictions that there are. please helppp. thank you so much. 1 solutions Answer 133797 by jim_thompson5910(28717)   on 2009-01-27 19:39:21 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Factor to get . Factor to get . Combine the fractions. Highlight the common terms. Cancel out the common terms. Simplify. FOIL So simplifies to . In other words, where , , , or (these are the restrictions)

Polynomials-and-rational-expressions/178831: 3y+3 ----- 6y+12 divided by 18 ---- 5y+5 i need to simplify this and list any restrictions. please help! thank you! 1 solutions Answer 133793 by jim_thompson5910(28717)   on 2009-01-27 19:11:12 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Factor to get . Combine the fractions. Multiply Highlight the common terms. Cancel out the common terms. Simplify. Distribute So simplifies to . In other words, where or (these are the restrictions; we must take these values out of the domain since they cause a division by zero)

Surface-area/178820: I need help finding the perimeter of a regular hexagon which is made up of equilateral triangles...of course 60 degree angles. This is all the info. I was given. I know how to find perimeter but this makes no sense to me! Thank You for your help with this problem, Kate 1 solutions Answer 133789 by jim_thompson5910(28717)   on 2009-01-27 18:58:03 (Show Source): You can put this solution on YOUR website! Are you given any side lengths? Are there any lengths or segments labeled? Without these pieces of info, I'm afraid we can't find the perimeter. Is there more to the problem?

Rational-functions/178821: 5y-20 ------ 3y+15 times 7y+35 ------ 10y+40 hi, i need to simplify this problem and find the restrictions if there are any. thank you!! 1 solutions Answer 133788 by jim_thompson5910(28717)   on 2009-01-27 18:56:21 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Factor to get . Factor to get . Combine the fractions. Multiply Highlight the common terms. Cancel out the common terms. Simplify. Distribute So simplifies to . In other words, where or (these are the restrictions since these values will cause a division by zero)

Polynomials-and-rational-expressions/178805: 5y-20 ------ 3y+15 times 7y+35 ------ 10y+40 hi, i need to simplify this problem and find the restrictions if there are any. thank you!! 1 solutions Answer 133787 by jim_thompson5910(28717)   on 2009-01-27 18:55:15 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Factor to get . Factor to get . Combine the fractions. Multiply Highlight the common terms. Cancel out the common terms. Simplify. Distribute So simplifies to . In other words, where or (these are the restrictions since these values will cause a division by zero)

Expressions-with-variables/178815: 2x+5y=4 x+5y=7 1 solutions Answer 133786 by jim_thompson5910(28717)   on 2009-01-27 18:49:01 (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. 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 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/178816: determine the best method to solve each system of equations. then solve the system. 3x-5y=7 2x+5y=13 1 solutions Answer 133784 by jim_thompson5910(28717)   on 2009-01-27 18:47:59 (Show Source): You can put this solution on YOUR website! Elimination is the easiest way to solve this system. Start with the given system of equations: 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 our answer is 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)

Polynomials-and-rational-expressions/178642: Evaluate each polynomial expression for the indicated value of x. , x= -2 , x=2 1 solutions Answer 133601 by jim_thompson5910(28717)   on 2009-01-26 19:22:35 (Show Source): You can put this solution on YOUR website! # 1 Start with the given equation. Plug in . Cube to get . Square to get . Multiply and to get . Multiply and to get . Multiply and to get . Combine like terms. So when # 2 Start with the given expression. Plug in . Raise to the 5th power to get . Raise to the 4th power to get . Cube to get . Square to get . Combine like terms. So when

Numeric_Fractions/178614: -2/5+1/3 1 solutions Answer 133598 by jim_thompson5910(28717)   on 2009-01-26 19:18:13 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: Fractions Solver Start with the given expression In order to add these two fractions, these fractions need to have a common denominator. In order to do that, we simply find that the LCM of 5 and 3 is 15 (note: if you need help with finding the LCM, check out this solver) Now we need to get each denominator to 15 Multiply by Multiply and to get Multiply by Multiply and to get Since both fractions have a common denominator of 15, we can now combine the fractions Combine the fractions Add the numerators So

Equations/178641: 9x+27=36 1 solutions Answer 133591 by jim_thompson5910(28717)   on 2009-01-26 19:04:51 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is

Numeric_Fractions/178615: Find an equivalent expression with the given denominator: 8/y = ?/y squared (the denominator is y squared) 1 solutions Answer 133583 by jim_thompson5910(28717)   on 2009-01-26 18:16:16 (Show Source): You can put this solution on YOUR website! Notice how (ie y squared equals y times y) So to go from the denominator of "y" to the new denominator of , you multiply the denominator by "y". Remember, what you do to the denominator must be done to the numerator also (to keep the fractions equivalent). So that means that you multiply the numerator "8" by "y" to get So which means that

Quadratic_Equations/178629: what is the factorization of -12x squareed+147? 1 solutions Answer 133581 by jim_thompson5910(28717)   on 2009-01-26 18:11:58 (Show Source): You can put this solution on YOUR website! Start with the given expression Factor out the GCF Now let's focus on the inner expression ------------------------------------------------------------ Start with the given expression. Rewrite as . Rewrite as . Notice how we have a difference of squares where in this case and . So let's use the difference of squares formula to factor the expression: Start with the difference of squares formula. Plug in and . So this shows us that factors to . In other words . ------------------------------------------------------------ So then factors to ============================================================ Answer: So completely factors to In other words,

Polynomials-and-rational-expressions/178574: I hope someone can help me out with this. For the problems I am working on I have been trying to get the right set up for this equation. This is what I am working on:2. Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $2,500 for setup costs and $3.00 to administer each test. For part a I had to write an expression that gives the total cost to test x animals. a)c=mx+b c=3.00x+2500 Part b I to find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal. This is what I have so far for this. I am missing something and need to see where I am going wrong. a)c=mx+b c=3.00x+2500/x I just need to know if I am writing the expressions correctly or if I need to do the whole expression to get the answer. Any help anyone can give me would be greatly appreciated. 1 solutions Answer 133536 by jim_thompson5910(28717)   on 2009-01-26 15:24:04 (Show Source): You can put this solution on YOUR website! Note: an expression does NOT have an equals sign a) You have the right equation, but they want an expression (ie they do NOT want an equals sign) So the expression is 3x+2500 b) Since the average cost can be found "by dividing total costs by number of animals", this means that the average cost is simply: So the expression that gives the average cost per animal is So it looks like you're on the right track, but forgot that they wanted expressions as answers.

Polynomials-and-rational-expressions/178559: Please simplyfy- 4x^2/2x^9 1 solutions Answer 133531 by jim_thompson5910(28717)   on 2009-01-26 15:14:14 (Show Source): You can put this solution on YOUR website! Start with the given expression Divide the coefficients Subtract the exponents. Subtract Flip the base "x" to make the exponent positive. So where Note: if you need help dividing monomials, then check out this solver

Miscellaneous_Word_Problems/178551: This question is from textbook Let p, q, and r be the following statements: p: Roses are red q: The sky is blue r: The grass is green Translate the following statements into English (a) p and q (b) p and (q or r) (c) q if then (p and r) (d) ( Not r and not q) if then, not p Do I understand this correctly?? (a) p and q would be: roses and sky are blue??? help me please.... 1 solutions Answer 133511 by jim_thompson5910(28717)   on 2009-01-26 13:06:40 (Show Source): You can put this solution on YOUR website! I'll do the first two to get you started. a) p and q ... Start with the given expression (roses are red) and (the sky is blue) ... replace "p" with the statement "roses are red" and replace "q" with "the sky is blue" So p and q translates to: "roses are red and the sky is blue" ---------------------------------------------------- b) p and (q or r) ... Start with the given expression (roses are red) and (q or r) ... Replace "p" with the statement "roses are red" (roses are red) and ((the sky is blue) or r) ... Replace "q" with the statement "the sky is blue" (roses are red) and ((the sky is blue) or (the grass is green)) ... Replace "r" with the statement "the grass is green" So p and (q or r) translates to: "roses are red and the sky is either blue or the grass is green" Note: I threw in the term "either" to show that there is grouping

Linear-equations/178534: This question is from textbook saxon algebra 2 Graph y=(1/3)^x. Identify the domain, asymptote, and range. Did I do this right? x=3 -2 -1 0 1 2 3 y=27 9 3 1 1/3 1/9 1/27 Domain=all real #s asymptote=y=0 Range=all positive real #s 1 solutions Answer 133507 by jim_thompson5910(28717)   on 2009-01-26 13:00:26 (Show Source): You can put this solution on YOUR website! You are correct. You can graph on a graphing calculator to verify the answer. If you don't have a graphing calculator, then here's the graph of Graph of

Graphs/178512: 4x-2y=-6 2x-y=-3 1 solutions Answer 133467 by jim_thompson5910(28717)   on 2009-01-25 22:16:21 (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. Since is always true, this means that there are an infinite number of solutions. So the system is consistent and dependent.

Equations/178487: 5/4x+1/8x=11/8+x Simply your anwser, type integer or a fraction 1 solutions Answer 133460 by jim_thompson5910(28717)   on 2009-01-25 21:47:58 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply EVERY term by the LCD to clear the fractions. Distribute and multiply. Combine like terms on the left side. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the answer is which approximates to .