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solver91311 answered: 17063 problems
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Rational-functions/330956: Solve for x. State any restrictions on the variables. xy-2x=3y 1 solutions Answer 237275 by solver91311(17077)   on 2010-08-11 16:06:35 (Show Source): You can put this solution on YOUR website! Factor out of the LHS. Multiply both sides by Restrict to values that do not make the denominator equal zero. John My calculator said it, I believe it, that settles it

Probability-and-statistics/330678: a jury is made up of 2 males and 8 females. Two jurors are selected at random for a follow up interview. Find the probability that both are males 1 solutions Answer 237080 by solver91311(17077)   on 2010-08-10 19:57:04 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by You need 2 successes in 2 trials where the probability of success on one trial is . Which looks like a bunch of nasty arithmetic until you consider that: and So: John My calculator said it, I believe it, that settles it

Linear-equations/330700: What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance in which a linear equation is not a function? 1 solutions Answer 237078 by solver91311(17077)   on 2010-08-10 19:39:45 (Show Source): You can put this solution on YOUR website! A linear equation, in most cases is a function. There are many functions, however, that are not linear. A linear equation relates a dependent variable to one or more independent variables such that a set of ordered pairs defining a straight line is defined. A function, in general, relates a dependent variable to one or more independent variables such that a relation where a given value for the input variable (or set of values) determines a unique value for the dependent variable. Linear equations fit the function definition except in certain special cases. All linear equations in , except linear equations that graph to a vertical line, namely equations of the form where is any real number, are functions. The discussion gets a bit more complex for but the idea is the same. If you can define a line that violates the idea of a single value of the function for a single value of the input variable (or set of values for the input variables), then you have a case where you do not have a function. So, no, there is not an instance in which a linear equation is not a function, there are an infinity of instances in which a linear equation is not a function, namely, in space anyway, one for every real value of in . John My calculator said it, I believe it, that settles it

Quadratic_Equations/330684: Look at the graph above and comment on the sign of the discriminant. Form the quadratic equation based on the information provided and find its solutions. * This graph is a Parabola type. You can tell by its horse shoe shape and in a upright position * The x2 coefficient term is positive, because of the upward opening. This tells me the formula ax^2 + bx + c = >0 is used. In addition, two real roots exist for a positive. * Because the graph crosses the x axis, one or more real roots exist. * A visible symmetrical (lowest point) exist and is called the vertex. This position is on coordinates (-0.16,-2). Additionally, the vertex is located between a mirror image of the left and right lines. 1 solutions Answer 237072 by solver91311(17077)   on 2010-08-10 19:22:48 (Show Source): You can put this solution on YOUR website! Since there are two intercepts, there are two distinct real number roots, hence the discriminant is positive. However, there is insufficient information to determine the specific quadratic function or its zeros. Using the coordinates of the vertex, you can determine two vital pieces of information. First since the -coordinate of the vertex of the general quadratic function is given by , you can use the fact that the -coordinate of the vertex is to write a linear equation relating and and you can also write another linear equation relating , , and by using the vertex coordinates since we know that any point on the function can be described as : and by substitution: But that is as far as we can go without additional information. The only thing that can be said for certain about the zeros of the function is that there exists a real number such that the -intercepts of the graph of your function are at: and The coordinates of any other point on the graph of your function would be sufficient to uniquely determine the coefficients. John My calculator said it, I believe it, that settles it

Graphs/330693: graphing systems of equations: y = -3/4x + 2, 9x+12y=24 1 solutions Answer 237069 by solver91311(17077)   on 2010-08-10 18:58:11 (Show Source): You can put this solution on YOUR website! Start with either one of your equations. Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. Step 7. Repeat steps 1 through 6 using the other equation. The point where the lines intersect is the solution, because the coordinates of that point will satisfy (read: make true) both of your equations. You need to determine, by inspection of the graph, what the coordinates of that point are and report your answer as an ordered pair, (x,y), using those coordinates. To check your answer, you should substitute this set of coordinates into each of your original equations and verify that you have a true statement for each of the equations. If both lines graph to the same line, then the solution set is infinite, i.e. every ordered pair that satisfies one equation will satisfy the other. If the lines are parallel, then the solution set is empty. John My calculator said it, I believe it, that settles it

Parallelograms/330692: what are the odds of rolling a 5 on a standard number cube? 1 solutions Answer 237067 by solver91311(17077)   on 2010-08-10 18:56:40 (Show Source): You can put this solution on YOUR website! The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures. There is one way to get a 5 out of 6 different ways the cube can land. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/330689: 12,000 sugar cubes stacked together makes what size cube? 1 solutions Answer 237066 by solver91311(17077)   on 2010-08-10 18:55:28 (Show Source): You can put this solution on YOUR website! You cannot make a cube stacking exactly 12,000 cubes. In order for a number of cubes to be stacked together to form a larger cube, you would have to start with a number of smaller cubes such that the number is a perfect cube, such as: John My calculator said it, I believe it, that settles it

Linear-systems/330688: How does (2,0); (3,0) equial 3x+2y=6 can you explain so I can help my daugther 1 solutions Answer 237063 by solver91311(17077)   on 2010-08-10 18:50:13 (Show Source): You can put this solution on YOUR website! In the first place, if you can't spell "daughter" correctly, you probably are the daughter. Don't know what you are trying to accomplish with that story. In the second place, an ordered pair, such as is not "equal" to a two-variable linear equation such as . Ordered pairs are elements of the solution set of such an equation. In fact there are an infinite number of ordered pairs that satisfy the given equation. In order to determine whether a particular ordered pair is a member of the solution set, substitute the first value in the ordered pair for in the equation and substitute the second value for in the equation. Then do the indicated arithmetic. If you end up with a true statement, in this case something that looks like , then the ordered pair is an element of the solution set. On the other hand if you end up with an absurdity, something like , then you know the ordered pair is NOT an element of the solution set. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/330635: A launched rocket has an altitude, in meters, given by the polynomial h+vt-4.9^2, where h is the height, in meters, from which the launch occurs, at velocity v meters per second, and t is the number of seconds for which the rocket is airborne. If a rocket is launched from the top of a tower 110 meters high with an initial upward speed of 30 meters per second, what will its height be after 3 seconds. Please help..... 1 solutions Answer 237031 by solver91311(17077)   on 2010-08-10 16:09:20 (Show Source): You can put this solution on YOUR website! The first thing I need to do is to correct your height function. The gravitational acceleration term is based on the square of time, not the square of the gravitation coefficient. Furthermore, I like to work with my polynomials in standard form, hence: All you need to do is plug in the given numbers and do the indicated arithmetic: I'll leave you alone so you can spend some quality time with your calculator. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/330608: 1) Add, simplify by collecting like radical terms. Assuming that all expression under radical are non-neg. #'s. √5a+5√20a^3 2) Divide then simplify by taking roots. √9xy^3/√3x 3)Simplify by factoring. √12a^2b 4) Use rational exponents to write cube 2 root√6*cube(third)root√5 5) Add, simplify by collecting like terms. 7√24+5√48 6) Find the following a cube (third) root√y^3 7) Write an equivalent expression using radical notation 625^3/4 8)Find the following. Assume that x can represent any real #. Use absolute value notation when necessary. √16x^2 9) Simplify by taking roots of the numerator & denominator. √81/y^2 10) Multiply (2√5-4√3)(4√5+8√3) 11) Multiply (√2)(-2√2+8) 12) Multiply and simplify by factoring. √45a^11b*√27a^12b^10 13) Rewrite with rational exponents (√5mn)^5 14) Use the laws of exponents to simplify. (2^3/10)^2/5 1 solutions Answer 237029 by solver91311(17077)   on 2010-08-10 16:01:22 (Show Source): You can put this solution on YOUR website! Hey guys! Look at this really cool website! I can just drop my whole homework assignment in here and get some geeky schmuck to do the work for me, and we can go hang out at the mall! WRONG! Since you didn't bother to read (or comprehend or pay attention to) the rules when you posted this, here they are again. ONE question per post. FOUR questions per day. SHOW the work you have done so far. BE specific about the help you want and what it is you don't understand. If there is still confusion about the rules, write back. I'll explain them again. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/330598: The buyer for a large department store must order 40 coats, some fake fur and some leather. She is unsure of the expected sales. She can buy 25 fake fur coats and the rest leather for $9,300 or 10 fake fur coats and the rest leather for $12,600. How much does she pay if she decides to split the order evenly? I am missing something in how to build the equation and solve this... This ones got me stumped, Any help will be great! 1 solutions Answer 237024 by solver91311(17077)   on 2010-08-10 15:53:56 (Show Source): You can put this solution on YOUR website! Let represent the cost of a fake fur coat and represent the cost of a leather coat. Then is the cost of 25 fake fur coats and is the cost of the leather coats, so: Similarly, Solve the system for and , and then substitute the values into: To calculate the cost of an evenly split order. John My calculator said it, I believe it, that settles it

Points-lines-and-rays/330616: If the sides of a square are lengthened by 6 cm, the area becomes 225 cm^2. Find the length of a side of the original square. The length of the side of an original square is how many cm? 1 solutions Answer 237006 by solver91311(17077)   on 2010-08-10 15:32:22 (Show Source): You can put this solution on YOUR website! The new square has to have sides of 15, so the old square had sides of 15 - 6 = 9. John My calculator said it, I believe it, that settles it

Rational-functions/330620: Please help me simplify the following expression: 1-x/x-1 thanks! 1 solutions Answer 237004 by solver91311(17077)   on 2010-08-10 15:30:47 (Show Source): You can put this solution on YOUR website! Anytime you have the pattern , it simplifies to That is because: hence: John My calculator said it, I believe it, that settles it

Graphs/330599: find the slope if it exist (6,10) (9,-9) 1 solutions Answer 236970 by solver91311(17077)   on 2010-08-10 13:54:09 (Show Source): You can put this solution on YOUR website! Use the slope formula. where and are the coordinates of the given points. Just plug in the values you were given and do the arithmetic. John My calculator said it, I believe it, that settles it

logarithm/330584: 2log square root of x+3logx^1/3; write the following in the form log_a(b), where a is a positive real number and b is an algebraic expression 1 solutions Answer 236969 by solver91311(17077)   on 2010-08-10 13:52:20 (Show Source): You can put this solution on YOUR website! Use Use the sum of the logs is the log of the product: If the base is unspecified, the base is 10 by convention: John My calculator said it, I believe it, that settles it

Parallelograms/330588: A rhombus has sides that are each 12 decimeters in length. Which statement is true about this rhombus? a. The area of the rhombus is at least 144 square decimeters. b. The area of the rhombus is 144 square decimeters. c. The area of the rhombus is at most 144 square decimeters. d. The area of the rhombus is less than 144 square decimeters. e. The area of the rhombus is 48 square decimeters. 1 solutions Answer 236968 by solver91311(17077)   on 2010-08-10 13:43:21 (Show Source): You can put this solution on YOUR website! There is an element of opinion as to the answer for this one. As far as I'm concerned a square is simply a special case of a rhombus since the only requirement for a quadrilateral to be classified as a rhombus is that the four sides be equal in measure. Any square with sides of 12 units will have an area that is 144 square units exactly. And rhombus that is not also a square that has sides of 12 units will have an area less than 144 square units. Hence, since the square case is allowed, answer c. On the other hand, if your instructor expects you to exclude squares, then answer d. John My calculator said it, I believe it, that settles it

Graphs/330590: Graph the line y=-x+1 1 solutions Answer 236965 by solver91311(17077)   on 2010-08-10 13:34:17 (Show Source): You can put this solution on YOUR website! Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. John My calculator said it, I believe it, that settles it

Rectangles/330561: I do not have a graphing calculator to graph this problem. It's P(5,17);Q(17,17) I have to find the slope of the line passing through each pair of point, if possible 1 solutions Answer 236964 by solver91311(17077)   on 2010-08-10 13:32:06 (Show Source): You can put this solution on YOUR website! You don't need a graphing calculator. You do it the way people did it before calculators were invented. Use the slope formula. where and are the coordinates of the given points. Just plug in the values you were given and do the arithmetic. You should be able to do this one in your head. John My calculator said it, I believe it, that settles it

expressions/330550: aura took three biology exam and has an average score of 88. her second exam was ten points better than her first, and her third exam was four points better than her second exam. what were her three exam scores ? 1 solutions Answer 236951 by solver91311(17077)   on 2010-08-10 11:50:04 (Show Source): You can put this solution on YOUR website! Remember how you calculate an average. You add the numbers and divide by the number of numbers. So if the average of 3 scores was 88, then the sum of the three scores must be 3 times 88 or 264. Let represent the score on the first test. Then the score on the second test must be , and the score on the third test must be . Add 'em up: Solve for , then add 10 and then add 4 more. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/330431: Find the variation constant and an equation of variation where y varies directly as x and y=14 when x=7 The cariation constant is k= the equation of variation is y= 1 solutions Answer 236857 by solver91311(17077)   on 2010-08-10 01:04:07 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

Trigonometry-basics/330448: what is the trigonometric function of 240? 1 solutions Answer 236855 by solver91311(17077)   on 2010-08-10 01:00:40 (Show Source): You can put this solution on YOUR website! Your question makes no sense whatsoever. John My calculator said it, I believe it, that settles it

Trigonometry-basics/330447: what is the trigonometric function of 240? 1 solutions Answer 236854 by solver91311(17077)   on 2010-08-10 01:00:09 (Show Source): You can put this solution on YOUR website! Your question makes no sense whatsoever. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/330426: if the sides of a square are lengthened by 8 cm, the area becomes 225 cm^2. Find the length of a side of the original square. The length of a side of the original square is? 1 solutions Answer 236853 by solver91311(17077)   on 2010-08-10 00:59:31 (Show Source): You can put this solution on YOUR website! The new square has to have sides of 15, so the old square had sides of 15 - 8 = 7. John My calculator said it, I believe it, that settles it

Linear-systems/330438: steps to solveY = -4x -3 1 solutions Answer 236852 by solver91311(17077)   on 2010-08-10 00:56:54 (Show Source): You can put this solution on YOUR website! You can't solve this. The solution set is a set of ordered pairs with an infinite number of elements. John My calculator said it, I believe it, that settles it

Quadratic_Equations/330422: Solve x2=-3x+7 using the quadractic formula? 1 solutions Answer 236851 by solver91311(17077)   on 2010-08-10 00:55:15 (Show Source): You can put this solution on YOUR website! The given equation can be solved using the quadratic formula. I have no idea what a quadractic formula is. For a quadratic equation in standard form, namely: the solutions are: So, put the equation into standard form: For your equation: , , and Just plug the values into the formula and do the arithmetic: John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/330354: snookers lumber can convert logs into either lumber or plywood. In any given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $18540? 1 solutions Answer 236773 by solver91311(17077)   on 2010-08-09 19:15:16 (Show Source): You can put this solution on YOUR website! Let represent the number of units of lumber produced. Then let represent the number of units of plywood produced. We are given that . The profit equation is: Substituting what we know about the relationship between and , Just solve for and then multiply that by 3 to get John My calculator said it, I believe it, that settles it

Distributive-associative-commutative-properties/330340: Okay,so its the first day of school and i already have homework,and i don't understand how to do this problem. All we have talked about(since the first day of school was today,freshmen!)is the distributive property. So i'm guessing it involves that. Here's the problem she gave us: Birmingham and Oxford are 60 miles away.Bhams west and Oxford is east.It's 2:00 PM.Both Chris and Annette are leaving.(Annette going to Bham and Chris to Oxford)Annette's going 80 MPH while Chris is going 60.They meet somewhere between there.Where do they meet(ex.12 miles from Bham,its an awnser like that) and what time? help?please? 1 solutions Answer 236772 by solver91311(17077)   on 2010-08-09 19:06:57 (Show Source): You can put this solution on YOUR website! Sorry to disappoint, but this has nothing whatever to do with the distributive property. This is a relative rate problem. Since one of them is going 80 and the other 60 they are going 140 relative to each other. They have 60 miles to cover together, so the elapsed time when they meet is the distance divided by the rate, or 60 divided by 140, which is to say hour. Since Chris is going 60, he has traveled miles and he has accomplished this feat in minutes. So if they left at 2:00 pm it is 2:25.7 when they meet -- IF AND ONLY IF Annette didn't get stopped and cited for going 80 mph in a 65 mph zone. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/330318: Using each of the digits 1,2,3,4,5, and 6 only once, find two - 3 digit numbers whose product is as large as possible. 1 solutions Answer 236767 by solver91311(17077)   on 2010-08-09 18:52:44 (Show Source): You can put this solution on YOUR website! Obviously one of the numbers must have 6 for a high order digit and the other must have 5 for the high order digit. So far then, we have 2 numbers, 6xy and 5ab. Again, it is obvious that we need to put the 4 and the 3 into the x and a positions, but which goes where? Intuitively, it would make sense for the 5 to be followed by 42 because that would maximize the number that is being multiplied by the number beginning with the 6. Let's check out the 4 possibilities: Largest. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/330330: There are three unknown numbers given. The second number is one more than the first, the third is the sum of the first and second plus one. If the sum of the first and third is 21 what is the second number? 1 solutions Answer 236766 by solver91311(17077)   on 2010-08-09 18:37:59 (Show Source): You can put this solution on YOUR website! Let represent the first number. Then must represent the second number. The first number plus the second number is and one more than that, the third number, is then . The sum of the first number and the third number is: Solve for and then add 1. Leave it in fractional form. John My calculator said it, I believe it, that settles it

Expressions-with-variables/330332: 6a+b=9 what is b 1 solutions Answer 236765 by solver91311(17077)   on 2010-08-09 18:34:33 (Show Source): You can put this solution on YOUR website! An undetermined variable. It could represent any real number in that expression. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/330329: if you drive for 3 hours at an average speed of 50 miles per hour how far have you traveled? 1 solutions Answer 236764 by solver91311(17077)   on 2010-08-09 18:32:32 (Show Source): You can put this solution on YOUR website! Distance equals rate times time. Your rate is 50 and your time is 3 hours. John My calculator said it, I believe it, that settles it