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 Numeric_Fractions/145332: 2x+5=9 1 solutions Answer 106004 by jim_thompson5910(28476)   on 2008-06-14 21:16:46 (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract 5 from both sides Combine like terms on the right side Divide both sides by 2 to isolate x Divide -------------------------------------------------------------- Answer: So our answer is
 Linear-equations/145321: (6-3X)-2(1+x)=6x1 solutions Answer 105997 by jim_thompson5910(28476)   on 2008-06-14 18:48:11 (Show Source): You can put this solution on YOUR website! Start with the given equation Distribute Combine like terms on the left side Subtract 4 from both sides Subtract 6x from both sides Combine like terms on the left side Divide both sides by -11 to isolate x Reduce -------------------------------------------------------------- Answer: So our answer is (which is approximately in decimal form)
 Linear-equations/145322: (6-3x)-2(1+x)=6x1 solutions Answer 105996 by jim_thompson5910(28476)   on 2008-06-14 18:47:41 (Show Source): You can put this solution on YOUR website! Start with the given equation Distribute Combine like terms on the left side Subtract 4 from both sides Subtract 6x from both sides Combine like terms on the left side Divide both sides by -11 to isolate x Reduce -------------------------------------------------------------- Answer: So our answer is (which is approximately in decimal form)
 Expressions-with-variables/145318: (x^2-25)/(x^3-4x^2-5x)*(x^2+x)/(1-x^2)1 solutions Answer 105995 by jim_thompson5910(28476)   on 2008-06-14 18:41:38 (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 Cancel like terms Simplify So simplifies to
 logarithm/145285: Please help... I am totally lost! Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing. f(x) = x3 - 3x2 - 2x + 1 f(x) = ex f(x) = 3x - 2 f(x) = log x f(x) = x2 - 5x + 6 Thank you very much.1 solutions Answer 105979 by jim_thompson5910(28476)   on 2008-06-14 17:13:58 (Show Source): You can put this solution on YOUR website! f(1)=-3, f(2)=-7, f(4)=9, f(8)=305, f(16)=3,297 Graph: ---------------------------------------------------- : f(1)=2.71828, f(2)=7.38906, f(4)=54.59815, f(8)=2980.9579, f(16)=8886110.5205 Graph: ---------------------------------------------------- f(x) = 3x - 2 : f(1)=1, f(2)=4, f(4)=10, f(8)=22, f(16)=46 Graph: ---------------------------------------------------- f(x)=log(x): f(1)=0, f(2)=0.30103, f(4)=0.60206, f(8)=0.90309, f(16)=1.20412 Graph: ---------------------------------------------------- f(x) = x^2 - 5x + 6: f(1)=2, f(2)=0, f(4)=2, f(8)=30, f(16)=182 Graph: ---------------------------------------------------- Rank from fastest growing to slowest growing: 1) 2) 3) 4) 5)
 logarithm/145308: Please disregard this previous question I submitted. Thank you for your help. I am to recall that, when interest is compounded continuously, the balance in an account after t years is given by A = Pe^rt, where P is the initial investment and r is the interest rate. Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing. - f(x) = x3 - 3x2 - 2x + 1 - f(x) = ex - f(x) = 3x - 2 - f(x) = log x - f(x) = x2 - 5x + 6 1 solutions Answer 105978 by jim_thompson5910(28476)   on 2008-06-14 17:12:05 (Show Source): You can put this solution on YOUR website! f(1)=-3, f(2)=-7, f(4)=9, f(8)=305, f(16)=3,297 Graph: ---------------------------------------------------- : f(1)=2.71828, f(2)=7.38906, f(4)=54.59815, f(8)=2980.9579, f(16)=8886110.5205 Graph: ---------------------------------------------------- f(x) = 3x - 2 : f(1)=1, f(2)=4, f(4)=10, f(8)=22, f(16)=46 Graph: ---------------------------------------------------- f(x)=log(x): f(1)=0, f(2)=0.30103, f(4)=0.60206, f(8)=0.90309, f(16)=1.20412 Graph: ---------------------------------------------------- f(x) = x^2 - 5x + 6: f(1)=2, f(2)=0, f(4)=2, f(8)=30, f(16)=182 Graph: ---------------------------------------------------- Rank from fastest growing to slowest growing: 1) 2) 3) 4) 5)
 Square-cubic-other-roots/145303: This question is from textbook Beginning Algebra I need help :) Page 526 Number 22 I have to simplify and assume that all variables represent positive numbers... square root 64x^81 solutions Answer 105968 by jim_thompson5910(28476)   on 2008-06-14 14:11:56 (Show Source): You can put this solution on YOUR website! Start with the given expression Convert the expression from radical notation to exponent notation. Remember Rewrite 64 as Now distribute the exponent Now distribute the outer exponent to each exponent in the parenthesis. Remember Now multiply the exponents Reduce Now convert back to radical notation Take the square root of 64 to get 8 So
 Square-cubic-other-roots/145302: This question is from textbook Beginning Algebra Can you help me? :) Page 526 Number 20 I have to simplify and assume that all variables represent positive numbers... square root w^141 solutions Answer 105967 by jim_thompson5910(28476)   on 2008-06-14 14:10:42 (Show Source): You can put this solution on YOUR website! Start with the given expression Convert the expression from radical notation to exponent notation. Remember Multiply the exponents. Remember Multiply Reduce So note: after a while you'll notice that when you take the square root of something like , the exponent simply gets cut in half. So , , etc...
 Square-cubic-other-roots/145301: This question is from textbook Beginning Algebra Can you please help me thank you...:) Page 526 Number 6 I have to simplify and leave the answer in exponent form. square root 2^3 1 solutions Answer 105965 by jim_thompson5910(28476)   on 2008-06-14 14:05:46 (Show Source):
 Square-cubic-other-roots/145300: This question is from textbook Beginning Algebra Can you help me please...:) Page 521 Number 20 I have to find the square root without a calculator and or a table of square roots. What is the square root of 49/100?1 solutions Answer 105964 by jim_thompson5910(28476)   on 2008-06-14 14:05:01 (Show Source):
 Square-cubic-other-roots/145299: This question is from textbook Beginning Algebra I can use some help on this one...:) Thank you... Page 521 Number 12 I have to find the square root. Do not use a calculator or a table of square roots. What is the Square root of 251 solutions Answer 105963 by jim_thompson5910(28476)   on 2008-06-14 14:04:21 (Show Source): You can put this solution on YOUR website!This is something you just have to memorize if a calculator is out of the question
 Systems-of-equations/145298: This question is from textbook Beginning Algebra I need help...Please:) Page 504 Number 4 I have to solve using two equations with two variables. High School Musical El/ segundo High School put on their annual musical. The students sold 650 tickets for a value of $4375.000. If orchestra seats cost$7.50 and balcony seats cost $3.50, how many of each kind of seat were sold?1 solutions Answer 105962 by jim_thompson5910(28476) on 2008-06-14 14:03:12 (Show Source): You can put this solution on YOUR website!Let x=# of orchestra seats and y=# of balcony seats Since the "students sold 650 tickets", this means that . This is our first equation. Also, since the total cost of x orchestra seats (at$7.50) and y balcony seats (at $3.50) is$4,375.00, this means that . This is our second equation. Multiply both sides of the second equation by 10. This will make every number a whole number. Distribute and multiply. So we now have this system of equations: Let's use substitution to solve this system. 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 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 22750 from both sides Combine like terms on the right side Divide both sides by 40 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 This means that the students sold 525 orchestra seats and 125 balcony seats
 Graphs/145253: Textbook Hall Use the rational zeros theorem to list all possible rational zeros of 2x^3-6x^2+4x-3 Thank you tutors1 solutions Answer 105954 by jim_thompson5910(28476)   on 2008-06-14 12:04:51 (Show Source): You can put this solution on YOUR website!Any rational zero can be found through this equation where p and q are the factors of the last and first coefficients So let's list the factors of -3 (the last coefficient): Now let's list the factors of 2 (the first coefficient): Now let's divide each factor of the last coefficient by each factor of the first coefficient Now simplify These are all the distinct rational zeros of the function that could occur
 Equations/145231: The linear equation y = 3x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).1 solutions Answer 105896 by jim_thompson5910(28476)   on 2008-06-13 17:10:42 (Show Source): You can put this solution on YOUR website!Let's graph 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 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 So we can see that the graph is a diagonal line.
 Equations/145230: Name the coordinate described here: From the origin, the point is six places to the right and five places up. 1 solutions Answer 105895 by jim_thompson5910(28476)   on 2008-06-13 17:09:45 (Show Source): You can put this solution on YOUR website!The point is (6,5)
 Radicals/145229: Homework Help (2 + sqrt3)squared The answer is 7 + 4sqrt3 but I don't know how they got the answer.1 solutions Answer 105894 by jim_thompson5910(28476)   on 2008-06-13 16:56:21 (Show Source): You can put this solution on YOUR website! Start with the given expression Expand. Remember something like 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 --------------------- Answer: So foils and simplifies to In other words,
 Square-cubic-other-roots/145223: please help me simplify these expressions using imaginary numbers... 3 to the sqrt of -27 and 4 to the sqrt of -641 solutions Answer 105893 by jim_thompson5910(28476)   on 2008-06-13 16:37:16 (Show Source): You can put this solution on YOUR website! Start with the given expression Simplify to get Multiply. So simplifies to Start with the given expression Simplify to get Multiply. So simplifies to
 Linear-equations/145222: 7x-7y=101 solutions Answer 105892 by jim_thompson5910(28476)   on 2008-06-13 15:56:13 (Show Source): You can put this solution on YOUR website!Do you want to graph? Start with the given equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce 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 1. This means that to go from point to point, we can go up 1 and over 1 So starting at , go up 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
 Graphs/145221: Find the y-intercept and the x-intercept for an equation. 3x - 2y =6 What is the y-intercept? What is the x-intercept? I figured the y-intercept would be (0,3), but I am stuck on what is the x-intercept?1 solutions Answer 105891 by jim_thompson5910(28476)   on 2008-06-13 15:35:32 (Show Source): You can put this solution on YOUR website! Start with the given equation Let's find the x-intercept To find the x-intercept, let y=0 and solve for x: Plug in Simplify Divide both sides by 3 Reduce So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero) ------------------ Start with the given equation Now let's find the y-intercept To find the y-intercept, let x=0 and solve for y: Plug in Simplify Divide both sides by -2 Reduce So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero) ------------------------------------------ So we have these intercepts: x-intercept: y-intercept:
 Quadratic-relations-and-conic-sections/145220: What is the distance between the points (-2 square root of 7, 10) and (4 squareroot of 7, 8)?1 solutions Answer 105889 by jim_thompson5910(28476)   on 2008-06-13 15:27:34 (Show Source): You can put this solution on YOUR website! Start with the distance formula. Plug in , , , and . Combine like terms Square each term Multiply Add Take the square root of 256 to get 16 So our answer is So the distance between the two points is 16 units.
 absolute-value/145219: This question is from textbook Prentice Hall Algebra 2 With Trigonometry Im having trouble in my algebra 2 class, abecause i sont understand anything the teacher is teaching because he skipps a lot of steps and expacts us to knwo what he did to get there. So i was woundering if you could help? Well heres the problem |-4x|=321 solutions Answer 105888 by jim_thompson5910(28476)   on 2008-06-13 15:17:17 (Show Source): You can put this solution on YOUR website! Start with the given equation Break up the absolute value (remember, if you have , then or ) or Set the expression equal to the original value 32 and it's opposite -32 Now lets focus on the first equation Divide both sides by -4 to isolate x Divide Now lets focus on the second equation Divide both sides by -4 to isolate x Divide So the solutions to are: or
 Quadratic-relations-and-conic-sections/145218: What is the midpoint of the segment joining (3, 5) and (-6, 11)? 1 solutions Answer 105887 by jim_thompson5910(28476)   on 2008-06-13 15:13:39 (Show Source): You can put this solution on YOUR website! First add the x-coordinates together to get Divide that result by 2 So the x-coordinate of the midpoint is Now add the y-coordinates together to get Divide that result by 2 So the y-coordinate of the midpoint is So the midpoint between the points and is
 real-numbers/145217: This question is from textbook Prentice Hall Algebra 2 With Trigonometry 1 solutions Answer 105886 by jim_thompson5910(28476)   on 2008-06-13 14:58:29 (Show Source): You can put this solution on YOUR website!you need to post the problem
 Proofs/145212: This question is from textbook Could you please help me with this? Thank you 1000 tickets for prizes are sold for $2 each. Seven prizes will be awarded – one for$400, one for $200, and five for$50. Steven purchases one of the tickets. 400(1/1000) + 200(1/1000) + 50(5/1000) – 2(993/1000) = -1.14 a) Find the expected value expected value is -$1.14 b) Find the fair price of the ticket. ????? 1 solutions Answer 105883 by jim_thompson5910(28476) on 2008-06-13 14:36:07 (Show Source): You can put this solution on YOUR website!a) You are correct. b) To find the fair price, replace the 2 with x and the -1.14 with 0 (since a "fair" price means that the player will break even) to get Multiply Combine like terms Subtract from both sides Multiply both sides by to completely isolate x Multiply Use a calculator to approximate the fraction Round to the nearest hundredth So the fair price of the ticket is about 86 cents.  Proofs/145210: This question is from textbook I am not sure of this answer; is it corret? Thank you! 5. (3 pts) 500 raffle tickets are sold at$2 each. One grand prize of $100 and two consolation prizes of$50 will be awarded. Find Jake’s expectation if he purchases one ticket. 100(1/500) + 50*(2/500) – 2*(497/500) = (200-994)/500 = - 1.58 A) -$0.40 B) -$1.20 C) -$1.60 D)$7.75 E) $0.80 1 solutions Answer 105882 by jim_thompson5910(28476) on 2008-06-13 14:27:28 (Show Source): You can put this solution on YOUR website!Expected Value: So he expects to earn$0.40 However, since they paid $2, this means that 0.40-2.00=-1.60 So they really expect to lost$1.60 So the correct answer is C)
 Proofs/145216: This question is from textbook I need your help here-please 14. (2 pts) How many different ways are there for an admissions officer to select a group of 7 college candidates from a group of 19 applicants for an interview? 19 * 7 at a time = 19*18*17*16*15*14*13 I am not that strong in this field. Can you look over this stuff AND get me the answers when it is done so I know where i may have goofed up?1 solutions Answer 105880 by jim_thompson5910(28476)   on 2008-06-13 14:24:12 (Show Source): You can put this solution on YOUR website!I'm assuming that order does not matter. Since order does not matter, we must use the combination formula: Start with the given formula Plug in and Subtract to get 12 Expand 19! Expand 12! Cancel Simplify Expand 7! Multiply 19*18*17*16*15*14*13 to get 253,955,520 Multiply 7*6*5*4*3*2*1 to get 5,040 Now divide So 19 choose 7 (where order doesn't matter) yields 50,388 unique combinations
 Polynomials-and-rational-expressions/145204: a+2b/4-a-2b/41 solutions Answer 105877 by jim_thompson5910(28476)   on 2008-06-13 13:49:27 (Show Source): You can put this solution on YOUR website! Start with the given expression Since the denominators are equal, this means that we can combine the fractions Distribute Combine like terms Reduce So
 Polynomials-and-rational-expressions/145203: Simplify the expression: ( 4 x + 1 ) 2 + (2 x - 4 ) 2 Choose the correct answer from the following: 20x 2 - 8x + 17 12x 2 - 8x + 15 4x 2 + 8x - 151 solutions Answer 105875 by jim_thompson5910(28476)   on 2008-06-13 13:46:21 (Show Source): You can put this solution on YOUR website!First FOIL Start with the given expression Expand. Remember something like 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 and simplifies to In other words, Now let's FOIL Expand. Remember something like 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 and simplifies to In other words, So now becomes Start with the given expression Combine like terms So