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# Recent problems solved by 'solver91311'

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 Functions/511237: Using the function machine (g machine) what is the output g(-7)= and g(5/2) = what is the functinal values for the problem h(x)=2 h(0)= h(-10)= find three ordered pair that satisfy the equation y =x + 4 Draw the graph for y = x^2 + 5x + 51 solutions Answer 342078 by solver91311(16868)   on 2011-10-07 17:47:24 (Show Source): You can put this solution on YOUR website! Is there some part of the concept "one problem per post" that is giving you difficulty? Is there some reason that you didn't bother to describe the function in your "g-machine" -- or did you just expect us to guess what it might be? John My calculator said it, I believe it, that settles it
 test/511242: X over 4= x+2 over 5 solve 1 solutions Answer 342074 by solver91311(16868)   on 2011-10-07 17:41:17 (Show Source): You can put this solution on YOUR website! Cross-multiply the proportion. Then add -4x to both sides. John My calculator said it, I believe it, that settles it
 Linear_Algebra/511245: x+4y=7 and 4x-y=31 solutions Answer 342073 by solver91311(16868)   on 2011-10-07 17:39:15 (Show Source): You can put this solution on YOUR website! Gee, what a cute little 2X2 system. Was there a question here somewhere? John My calculator said it, I believe it, that settles it
 Graphs/511246: Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. (3,3); m=-31 solutions Answer 342071 by solver91311(16868)   on 2011-10-07 17:30:27 (Show Source): You can put this solution on YOUR website! Start with the point-slope form: where are the coordinates of the given point and is the given slope. Once you have plugged in all of the numbers and done the indicated arithmetic, simplify and solve for so that your equation is in slope-intercept form, namely: John My calculator said it, I believe it, that settles it
 Linear-equations/511247: How do I find the slope when the x-intercepts are exactly the same? For example my give points are: (-4,3) and (-4,5). Thank you. Martha1 solutions Answer 342070 by solver91311(16868)   on 2011-10-07 17:27:09 (Show Source): You can put this solution on YOUR website! The slope of a vertical line is undefined. John My calculator said it, I believe it, that settles it
 Linear-systems/511243: Using the elimination method, how do I solve this problem: x/2+y/3=-3; x/2+2y=-8. I have tried to use the regular elimination method by adding down the columns, but fractions confuse me so I keep getting the answer wrong. Please help. 1 solutions Answer 342069 by solver91311(16868)   on 2011-10-07 17:24:29 (Show Source): You can put this solution on YOUR website! If fractions confuse you, get rid of them. Multiply the first equation by -6 and the second one by 6: John My calculator said it, I believe it, that settles it
 Geometry_proofs/511217: Given: Angle 1 and Angle 2 are complementary. Angle 2 and Angle 3 are supplementary. Prove: Angle 1 and Angle 3 are congruent. Is this possible or is this an error in the question? If both sets were complementary or supplementary, the proof is straight forward. But with one set complementary and the other supplementary, how can Angle 1 and Angle 3 have the same measure?1 solutions Answer 342066 by solver91311(16868)   on 2011-10-07 17:11:46 (Show Source): You can put this solution on YOUR website! Nope, impossible situation. Angle 2 complementary to Angle 1 implies that both Angle 2 and Angle 1 are less than 90 in measure. Angle 2 being less than 90 means that supplementary Angle 3 must be greater than 90. Hence 3 and 1 cannot possibly be congruent. John My calculator said it, I believe it, that settles it
 Linear-equations/511225: 10x+15=6x+3.....Could you explain how to do theses types of problems I am having a hard time....Thank you1 solutions Answer 342061 by solver91311(16868)   on 2011-10-07 16:06:37 (Show Source): You can put this solution on YOUR website! Add to both sides. Add to both sides. Multiply both sides by . John My calculator said it, I believe it, that settles it
 Age_Word_Problems/511218: "The ratio of my age to my mother's age today is 3:5. In five years time the ratio will be 7:11. Let x be the sum of our ages today. Set up a linear equation and use it to find our ages in five years. Start the equation like this: 3x/8+5 =..." I have started the linear equation but do not know how to continue it. This is all I have so far: 3x/8+5 = 7/18(x+10) Thank You1 solutions Answer 342058 by solver91311(16868)   on 2011-10-07 16:03:22 (Show Source): You can put this solution on YOUR website! I don't see where the sum of the ages is very helpful. You need two variables, one for each person's age. Let represent the child's age and let represent the mothers age. Situation Today: Which is to say: Then you can say: Situation five years hence: Which is to say: Cross-multiply: Substitute for and then solve for . Then calculate to derive . John My calculator said it, I believe it, that settles it
 Triangles/511215: is it possible to construct a triangle with angel measerments of 110,40 and 30 degrees? also can you construct 3 isosceles triangles with one base?1 solutions Answer 342051 by solver91311(16868)   on 2011-10-07 15:35:15 (Show Source): You can put this solution on YOUR website! Triangles have angles. If you have a question about angels, see your local clergyman. The sum of the measures of the interior angles of a triangle is Construct one isosceles triangle. Construct the perpendicular bisector of the base. Select a point on the bisector other than the apex vertex of the original triangle. Construct segments from the selected point to each of the base vertices of the original triangle. You now have a new isosceles triangle with the same base as the originl. Choose another point on the bisector and repeat the process to create a third isosceles triangle with the same base. Do this as often as you like, since you have an infinite number of points on the base bisector to choose from. John My calculator said it, I believe it, that settles it
 Rational-functions/511178: Please Help me! I don't know where to begin. I would really appreciate your help. A city manager is deciding where to buy water. The city needs at least 10 million gallons/day and can get it either from it's own reservoir or from a pipeline in a neighboring town.The reservoir can supply up to 5 million gallons/day. The pipeline can supply up to 10 million gallons/day. The neighboring town will ony agree to provide water if the city buys at least 6 million gallons/day. The water from the reservoir costs $300 per million gallons. The water from the pipeline costs$500 per million gallons. What would you advise the city manager to do? Let x represent the number of millions of gallons from the reservoir. Let Y represent the number of millions of gallons from the pipeline. 1. Write the inequalities to represent the constraints(conditions of the problem. 2. Write the expression that represents the cost to be minimized. 3. Graph the constraints and find the feasible region. 4. find the cost for each "corner point" and find the combination that minimizes the cost. 5. What would you advise the city manager to do? 1 solutions Answer 342040 by solver91311(16868)   on 2011-10-07 14:19:38 (Show Source): You can put this solution on YOUR website! Linear programming problems, even as elementary as this one, take a good deal of time and effort to set up and solve, especially given that you want the solution graphed. Write back and I'll give you a quote for the cost of my time. John My calculator said it, I believe it, that settles it
 Linear-systems/511175: By graphing,: 1. y-2x=0 x+y=3 2. 2x-y=1 x+2y=-2 3.2x-6=3y y+2=2/3x 4. 1/2x +y =4 x+2y=8 Can u solve this one.? thanks in advance.! 1 solutions Answer 342034 by solver91311(16868)   on 2011-10-07 13:44:43 (Show Source): You can put this solution on YOUR website! Yes. John My calculator said it, I believe it, that settles it
 Linear-systems/511173: 1. x-y=5 2x-5y=5 2. x-y=0 2x+3y=35 3. x-2y=6 3x-2y=2 4. y=2x-3 y=3x-3 Can u gimme the answer of this through substitution method.? Thanks in Advance.~1 solutions Answer 342033 by solver91311(16868)   on 2011-10-07 13:44:02 (Show Source): You can put this solution on YOUR website! First: We don't give you the answer, we show you how to do the problem. Second: One problem per post. John My calculator said it, I believe it, that settles it
 real-numbers/511172: (3w^2+2w+3)+(w^2+w+4)+(7w^2+3w+1)1 solutions Answer 342032 by solver91311(16868)   on 2011-10-07 13:41:52 (Show Source): You can put this solution on YOUR website! That's a quaint little description of the sum of three quadratic trinomials. Since the instructions for posting are pretty clear about the fact that you are obligated to explain what it is that you actually want us to do for you and to describe the difficulty you are having, I'm wondering where the rest of your post is. John My calculator said it, I believe it, that settles it
 Angles/511171: two angles are supplementary if one angle has a measure twice the other angle what are the measure of the angle1 solutions Answer 342031 by solver91311(16868)   on 2011-10-07 13:39:59 (Show Source): You can put this solution on YOUR website! Let represent the measure of the smaller angle. Then represents the measure of the larger angle. Since the two angles are supplementary the sum of their measures is . Hence: Solve for , then calculate . John My calculator said it, I believe it, that settles it
 Rate-of-work-word-problems/511128: Tina can wash the windows of an office building in 3/4 the time it takes her apprentice. One day they worked together for 2hrs. 16mins. and then Tina continued alone. It took her 4hrs. 32 mins. more to complete the job. How long would it take her apprentice to wash all the windows alone? 3/4(x) + x = 544 3x + 4x = 2176 7x = 2176 x = 310.86 310.86/60 = 5hr 11mins but this can't be right 1 solutions Answer 342030 by solver91311(16868)   on 2011-10-07 13:35:30 (Show Source): You can put this solution on YOUR website! Let represent the number of minutes it would take the apprentice working alone to complete the part of the task that Tina and the apprentice worked on together. Then is the number of minutes Tina would have taken on that part of the task if working alone. Then the apprentice could do of that part of the job in one minute, and Tina could do of that part of the job in one minute. Since 2 hours and 16 minutes is 2 times 60 plus 16 equals 136 minutes, working together they performed of the job in one minute. You can check the arithmetic for yourself, but it comes out to minutes. That is the amount of time, working alone, it would take the apprentice to do the part where they worked together. The amount of time Tina would take for that same part of the job would simply be 3/4 of that time, or minutes. Tina, then, working by herself would have taken 238 minutes to do the first part and then 272 minutes (4 hrs, 32 minutes) to do the second part for a total of 510 minutes. But if Tina takes of the time the apprentice takes, then the apprentice takes of the time that Tina takes. So the apprentice would take: minutes or 11 hours, 20 minutes. John My calculator said it, I believe it, that settles it
 Graphs/511158: Determine whether each of the given pairs of lines are parallel or perpendicular, or neither 4x- 3y =6 and 3x + 4y =8 1 solutions Answer 342025 by solver91311(16868)   on 2011-10-07 12:56:19 (Show Source): You can put this solution on YOUR website! Since your equations are in Standard form , you can determine the slope of each line by calculating. Calculate the slope of both of your lines. If the slopes are equal, then the lines are parallel. If the slopes are negative reciprocals of each other, then the lines are perpendicular. Otherwise, neither. John My calculator said it, I believe it, that settles it
 Linear-equations/511161: M= 3 and contains the point (5,8)1 solutions Answer 342023 by solver91311(16868)   on 2011-10-07 12:44:12 (Show Source): You can put this solution on YOUR website! That's a quaint little description of a straight line in , although typically the slope is expressed using a lower case . Since the instructions for posting are pretty clear about the fact that you are obligated to explain what it is that you actually want us to do for you and to describe the difficulty you are having, I'm wondering where the rest of your post is. John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/511159: The remaining credit after 28 minutes of calls is $20.80, and the remaining credit after 49 minutes of calls is$17.65. What is the remaining credit after 58 minutes of calls? 1 solutions Answer 342022 by solver91311(16868)   on 2011-10-07 12:39:05 (Show Source): You can put this solution on YOUR website! $20.80 minus$17.65 is $3.15. 49 minus 28 is 21. Hence,$3.15 was spent for 21 minutes. $3.15 divided by 21 is then the cost per minute. John My calculator said it, I believe it, that settles it  Probability-and-statistics/511144: A quiz cosists of 10 multiple-choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %.1 solutions Answer 342021 by solver91311(16868) on 2011-10-07 12:33:23 (Show Source): You can put this solution on YOUR website! This one is easy if you would be satisfied with a wild approximation. A snowball in hell would have a better chance. Here's why. Here we are faced with getting at least 5 out of 10 correct. That means we need to find the probability of getting exactly 5, then exactly 6, then 7...and so on up to 10, and then add these probabilities. 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 Since we need the sum of several of these calculations: You can save yourself the calculation of one of the terms by realizing that the probability of something happening is equal to 1 minus the probability of it not happening and then performing the sum: That is only 5 terms instead of 6. You can also save yourself a good deal of work if you realize that taking 1/6 to the 8th, 9th, and 10th power is going to result in some mighty big denominators and therefore some mighty small terms. In fact, the value of these three terms will be lost in any reasonable round-off of the numeric approximation of the answer. Hence: Is close enough (only off by 2 in the 5th decimal place), and you only have to calculate 3 terms. And finally, if all of this nasty arithmetic leaves you cold, and no one will ever think ill of you for feeling that way, open a spreadsheet, Excel on the PC or Numbers on the Mac, then pick a cell and enter the following formula: and get your answer directly upon hitting the Enter key. John My calculator said it, I believe it, that settles it  Length-and-distance/511129: can the graph of a polynomial function have no y-intercepts? and no x-intercepts?1 solutions Answer 342011 by solver91311(16868) on 2011-10-07 11:37:34 (Show Source): You can put this solution on YOUR website! The domain of any polynomial function is the set of real numbers. Zero is a real number, therefore for any polynomial function , is defined and exists. The -intercept of a polynomial function is the point . -intercepts of the graph of a polynomial function are points of the form where is a real number zero of the polynomial function. Since complex roots always occur in conjugate pairs, that is to say if is a root, then must also be a root, and the number of zeros of a polynomial function is equal to the degree of the function (Fundamental Theorem of Algebra) it is possible to have a polynomial function of even degree with no real number zeros, and therefore no -intercepts. Polynomial functions of odd degree are guaranteed to have at least one real zero and therefore at least one -intercept. John My calculator said it, I believe it, that settles it  Average/510567: what is your grade if you got 4 out of 7 questions right1 solutions Answer 341855 by solver91311(16868) on 2011-10-06 16:51:47 (Show Source): You can put this solution on YOUR website! If 60% is passing, your grade is F. John My calculator said it, I believe it, that settles it  Parallelograms/510227: the vertices of parallelogram ABCD is A (2,4), B(0,0), C(6,2), and D(8,6). Find the coordinates of the intersection of the diagonals1 solutions Answer 341755 by solver91311(16868) on 2011-10-05 19:32:24 (Show Source): You can put this solution on YOUR website! The diagonals of a parallelogram bisect each other, therefore, the point of intersection is the midpoint of either. Use the midpoint formulas with the endpoints of either diagonal (the segments AC and BD are the diagonals), to find the midpoint, and therefore the point of intersection of the diagonals. and where and are the coordinates of the endpoints of the segment in question. Hint: The arithmetic is lots easier if you do segment BD. John My calculator said it, I believe it, that settles it  Exponents/510229: Evaluate each expression: (b = 4) 3(b - 1) (to the fourth power)1 solutions Answer 341754 by solver91311(16868) on 2011-10-05 19:27:04 (Show Source): You can put this solution on YOUR website! Take out the , put the 4 in its place, then do the arithmetic. John My calculator said it, I believe it, that settles it  Graphs/510228: Can you solve this? 3(3x-y)>-12 y<-1/3x+2 1 solutions Answer 341753 by solver91311(16868) on 2011-10-05 19:25:52 (Show Source): You can put this solution on YOUR website! Yes. Now, is that a system of inequalities or is it two separate problems? John My calculator said it, I believe it, that settles it  Graphs/510202: How do you graph the linear equation x=-4?1 solutions Answer 341752 by solver91311(16868) on 2011-10-05 19:24:05 (Show Source): You can put this solution on YOUR website! The solution set of the equation is the set of all ordered pairs where Pick any two points that have an -coordinate of -4 and draw a straight line through the two points. John My calculator said it, I believe it, that settles it  Travel_Word_Problems/510213: A migrating elephant herd started moving at a rate of 6 miles per hour. One elephant stood still and was left behind. Then this stray sensed danger and began running at a rate of 10 miles per hour to reach the heard. The stray caught up in 5 minutes. How long (in hours) did the stray run to catch up? How far did it run?1 solutions Answer 341748 by solver91311(16868) on 2011-10-05 19:18:30 (Show Source): You can put this solution on YOUR website! Distance equals rate times time. 10 miles per hour times 1/12 hour. John My calculator said it, I believe it, that settles it  Linear-equations/510199: i am having trouble with the following problem: the table lists data regarding average salaries of several professional athletes in 1991 and 2001 1990 - 262,000 2001 - 1,420,000 Use the data to find a linear function that fits the data. Use the function to predict the average salary in 2005 and 2010. I have read the text numerous times and I do not understand how to arrive at the answer. Please help! Thank you1 solutions Answer 341747 by solver91311(16868) on 2011-10-05 19:09:35 (Show Source): You can put this solution on YOUR website! Let the first year of your data (whether it is 1990 or 1991 you don't make clear) be represented by 0 as a value for your independent variable (x generally, but whatever you are using to represent your horizontal axis) then each subsequent year adds one. So if 1990 is your first year 0 as an x value represnts 1990, 1 represents 1991, and so on. Then the dependent variable, i.e., the value of the function at each of the two data points you are given is the actual salary value. Since both salaries given end in 3 zeros, just drop the three zeros and label your graph values as$1000s. Now each of your two data points has two values, an x value representing the year and a y value representing the value of the function (i.e. the salary) for that year. You can now create two ordered pairs, and , using the data from the table. Knowing the coordinates of two points on a straight line, you can write an equation that represents all of the points on that line by using the two point form of an equation of a line: where and are the coordinates of the given points. So plug in your coordinates, do the arithmetic, and simplify. Then determine the appropriate x-value for the two years you want to predict and plug that value in for x in the equation you just derived and do the indicated arithmetic to predict the salary value for that year. John My calculator said it, I believe it, that settles it
 Linear-equations/510171: "Write the equation of the line through (4,5) and (6,-7)"1 solutions Answer 341744 by solver91311(16868)   on 2011-10-05 18:51:01 (Show Source): You can put this solution on YOUR website! You can't write THE equation of a line. There are an infinite number of ways to write an equation whose solution set is a uniques set of ordered pairs mapping to points on the coordinate plane which in turn form a straight line in Euclidian space. However, you can write AN equation whose solution set contains the two given points and all other points colinear with the given points; just use the two-point form of an equation of a straight line: where and are the coordinates of the given points. Check with your teacher/instructor/professor as to the desired form of the answer to this question. Two typical forms are slope-intercept and standard form: Note: Some texts/teachers/professors/mathematicians-in-general (but not all) insist that the coefficients in the standard form be integers. Also note that the two forms are related by the following: John My calculator said it, I believe it, that settles it
 Functions/510167: What is the relationship between {(1,4) (2,7) (3,10) (4,13)} ? Write an equation1 solutions Answer 341736 by solver91311(16868)   on 2011-10-05 18:35:36 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Inverses/510163: how do i do two step equations 1 solutions Answer 341734 by solver91311(16868)   on 2011-10-05 18:32:14 (Show Source): You can put this solution on YOUR website! You perform the first step, and then you perform the second step. You have to be more specific in your question if you want an answer that is going to be at all helpful. John My calculator said it, I believe it, that settles it