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# Recent problems solved by 'solver91311'

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 Polynomials-and-rational-expressions/631426: factor x four squared minus x 3 squared minus 12 x 3 squared1 solutions Answer 397626 by solver91311(16885)   on 2012-07-24 15:33:34 (Show Source): You can put this solution on YOUR website! Sorry, the way you have written your problemm makes no sense. Re-post using ^ to indicate raising to a power, that is x^2 means and x^3 means , and so on. And when I say "re-post" I mean re-post on the site. Don't write back to me because I may not have time to get to you. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/631404: factor 2x^3 - 50x1 solutions Answer 397544 by solver91311(16885)   on 2012-07-24 11:22:55 (Show Source): You can put this solution on YOUR website! Factor out leaving you with a difference of two squares binomial that factors to a conjugate pair of linear binomials. John My calculator said it, I believe it, that settles it
 test/631405: multiply (x + 2) (2x^2 - 2x -3)1 solutions Answer 397542 by solver91311(16885)   on 2012-07-24 11:21:25 (Show Source): You can put this solution on YOUR website! Extend the idea of the FOIL process for multiplying two binomials. In the end, ensure that each of the terms of the binomial factor have been multiplied by each of the terms of the trinomial factor once and once only per pair of terms. You should have 6 terms before you collect like terms. John My calculator said it, I believe it, that settles it
 Graphs/631406: 2x - 3y = -12 plotting at least three points1 solutions Answer 397541 by solver91311(16885)   on 2012-07-24 11:19:03 (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. Repeat steps 1 through 4 with yet a different value for x. Step 7. Draw a line across your graph that passes through the three points that you plotted. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/631402: if the equation (k2-3k+2)x2+(k2-5k+4)x+(k2-6k+5)=0 is an identity then the value of k is ?1 solutions Answer 397539 by solver91311(16885)   on 2012-07-24 11:15:40 (Show Source): You can put this solution on YOUR website! If then . So set , , and , and solve each. The three quadratics will have a common zero and this is your value of John My calculator said it, I believe it, that settles it
 Exponents/631292: i need help with this division probmel i might have missed a step.. 2x-3 divided by 6x^3-5x^2+2x-12 i divided 2x-3 and got 3x^2 multiplied the -3&3x^2 got 9x^2 changed the signs of the bottom ones and subtracted 6x^3-5x^2 -6x^3+9x^2 ___________ 4x^2+2x 4x^2+6x _____________ 6 what did i do wrong1 solutions Answer 397486 by solver91311(16885)   on 2012-07-24 00:33:54 (Show Source): You can put this solution on YOUR website! Error 1: Error 2: You don't change the signs and subtract, you subtract, which means you change the sign and add. Although you did end up with , clearly by fortuitous accident. Error 3: Then You finish. John My calculator said it, I believe it, that settles it
 Permutations/631248: ICE CREAM TRIPLE SCOOPER A true triple – scooper of ice cream is three scoops, each of different flavours, served in a dish. How many different triples could you get at ice castles if ice castles serve 31 different flavours of ice cream?1 solutions Answer 397485 by solver91311(16885)   on 2012-07-24 00:18:19 (Show Source): You can put this solution on YOUR website! The number of combinations of 31 things take 3 at a time: is the number of combinations of things taken at a time and is calculated by Plug in the numbers and do the arithmetic. Note: This only works because of the requirement that the flavors be different. If duplication of flavors were allowed, then the considerably larger number of possibilities would be calculated by John My calculator said it, I believe it, that settles it
 logarithm/631287: proof that log10 =11 solutions Answer 397484 by solver91311(16885)   on 2012-07-24 00:05:19 (Show Source): You can put this solution on YOUR website! Definition of the logarithm function: Plug in the numbers: John My calculator said it, I believe it, that settles it
 test/631256: A money lender lends money collecting 5 paise for every Rupee per month. Find the rate of interest?1 solutions Answer 397483 by solver91311(16885)   on 2012-07-24 00:00:08 (Show Source): You can put this solution on YOUR website! How many paise in a Rupee? John My calculator said it, I believe it, that settles it
 Surface-area/631282: How much fabric will I need to cover a 4x4" block?1 solutions Answer 397482 by solver91311(16885)   on 2012-07-23 23:38:33 (Show Source): You can put this solution on YOUR website! 4" by 4" by x. A rectangular solid has 6 sides. This one has 2 sides that are 4 by 4, each of which has an area of 16 square inches, so 2 times 16 is 32. Then the other 4 sides are 4 by x, each of which is 4x square inches so these 4 sides total 16x square inches. Once you figure out how much x is, then plug it in to 16x, and then add the result to 32. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/631276: A college student earned $6,300 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 8% and the rest at 7%. If the student received a total of$479 in interest at the end of the year, how much was invested at 8%? 1 solutions Answer 397481 by solver91311(16885)   on 2012-07-23 23:33:48 (Show Source): You can put this solution on YOUR website! If monetary units are invested, one part at percent interest and the rest at percent interest for one year and monetary units are received in interest overall at the end of the year, then if monetary units is the amount invested at , then the following relationship holds: Plug in your numbers and solve for John My calculator said it, I believe it, that settles it
 Linear-equations/631277: How do i find an equation of each line with the given slope that passes through the given point and Write the equation in the form. Ax+ By= C m= - 2/9; (2,5) 1 solutions Answer 397479 by solver91311(16885)   on 2012-07-23 23:23:28 (Show Source): You can put this solution on YOUR website! Use the point-slope form of an equation of a line: where are the coordinates of the given point and is the given/calculated slope. Then do the arithmetic and rearrange to get to the form. John My calculator said it, I believe it, that settles it
 Inverses/631250: how do i do factors 1 solutions Answer 397477 by solver91311(16885)   on 2012-07-23 23:19:58 (Show Source): You can put this solution on YOUR website! Find those numbers or expressions that when multiplied together equal the number or expression that you are trying to factor. Next time ask a specific question. I suggest you go to the page where you enter your questions and actually read the instructions for posting. Especially read the examples of good and bad questions. You should be able to see the striking similarity between your question and the example of a bad question. John My calculator said it, I believe it, that settles it
 Functions/631264: Please help me to find the following functions. Let f(x)=x=4 and g(x) =x^2+8x-3 a. (f+g)(x) B.(f-g)(x) c. (fg)(x) d. f o g Thanks1 solutions Answer 397475 by solver91311(16885)   on 2012-07-23 23:11:46 (Show Source): You can put this solution on YOUR website! What does mean? Did you miss the shift key when you meant to type or did you hit one key to the left when you meant to type ? Don't write back to me to tell me what you meant because you may not get a timely answer. Re-post, AND CHECK YOUR WORK. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/631268: If im doing area of a rectangle how do i do it1 solutions Answer 397472 by solver91311(16885)   on 2012-07-23 22:55:24 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Rational-functions/631227: Finding rational functions off of graphs: Hi! I don't understand what to do with the horizontal asymptote when I am finding the graph function. For example: Zero's of the function: -2 and 3 Vertical asymptote: -1 Horizontal Asymptote: y=2x-4 Thank you very much!1 solutions Answer 397449 by solver91311(16885)   on 2012-07-23 19:59:47 (Show Source): You can put this solution on YOUR website! WARNING! Danger, Will Robinson. Terminology Error! is NOT a horizontal asymptote. Horizontal asymptotes are horizontal, hence the name. Linear functions with a non-zero (2 is not zero) slope are NOT horizontal. Asymptotes that are slanted or oblique are called Slant Asymptotes or Oblique Asymptotes. The fact that the function has zeros at -2 and 3 tells us that the factors of the numerator polynomial are , , and some constant (because all polynomial equations where is a polynomial with degree and have identical solution sets) Hence, the numerator is The fact that the function has a vertical asymptote of means that the denominator polynomial has a zero at , therefore the denominator polynomial must be . If a rational function has a numerator that is one degree greater than the degree of the denominator, then the function will have a slant asymptote equal to the quotient of a polynomial long division of the numerator by the denominator. Perform the polynomial long division of . Your quotient will have a factor of in it, but if you set the quotient equal to the given slant asymptote , you will very quickly see the value of . Then it is simply a matter of constructing your function from the derived numerator and denominator. Go to Purple Math Polynomial Long Division if you need a refresher on polynomial long division. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/631225: I need to know how to factor this Trinomial. y^3-15y^2+54y1 solutions Answer 397445 by solver91311(16885)   on 2012-07-23 19:31:52 (Show Source): You can put this solution on YOUR website! First take a y out of all three terms. That leaves you with a quadratic trinomial factor in y. Just reverse the FOIL process. Hint: -6 plus -9 is -15, -6 times -9 is 54. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/631098: I have tried and tried on this problem and just cant get it right. I even had a tutor online help me and they got it wrong too... this is the problem ... Solve the system of equations. Round approximate values to the nearest ten-thousandth. y = log2x y = x−51 solutions Answer 397443 by solver91311(16885)   on 2012-07-23 19:28:53 (Show Source): You can put this solution on YOUR website! There is no algebraic solution to this equation. You have to use numerical methods. I used a graphing program and then ran some numbers through the function in Excel. I was able to come up with two intervals: [0.000005,0.000006] and [6,6.1] where the function changes sign from one end of the interval to the other. The Intermediate value theorem says there has to be a root on each of those intervals. Then I used the Newton-Raphson method: I first defined the function as Then Newton-Raphson says and then a closer approximation can be obtained from: And you can repeat the process as often as you like to get the desired precision. The derivative of is: You can run a calculator as well as I can. Enjoy. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/631189: What does it mean to "describe what the solution(s) represent to the graph"? For example, I had a equation and I solved it to ge the solutions x = -2 and x = -3. I put down the parabola opens upward since the "a" of the quadratic equation is positive. Is there more to this answer or am I correct?1 solutions Answer 397421 by solver91311(16885)   on 2012-07-23 17:38:03 (Show Source): You can put this solution on YOUR website! Don't post the same question twice. It throws off Igor's metrics for the site. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/631190: What does it mean to "describe what the solution(s) represent to the graph"? For example, I had a equation and I solved it to ge the solutions x = -2 and x = -3. I put down the parabola opens upward since the "a" of the quadratic equation is positive. Is there more to this answer or am I correct?1 solutions Answer 397419 by solver91311(16885)   on 2012-07-23 17:36:07 (Show Source): You can put this solution on YOUR website! They want to know exactly where on the graph you would find the two points with x-coordinates of -2 and -3. Hint: What are the y-coordinates of the points that have x-coordinates of -2 and -3? John My calculator said it, I believe it, that settles it
 Quadratic_Equations/631195: determine the nature of the solutions of the equation t^2-6t=0 A) 2 real solutions B)1 real solution C) 2 imaginary solution1 solutions Answer 397416 by solver91311(16885)   on 2012-07-23 17:32:45 (Show Source): You can put this solution on YOUR website! For any quadratic polynomial equation of the form: Find the Discriminant, and evaluate the nature of the roots as follows: No calculation quick look: If the signs on and are opposite, then guaranteed. Two real and unequal roots. If is a perfect square, the quadratic factors over (the rationals). One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors. Presuming rational coefficients, the root will be rational as well. A conjugate pair of complex roots of the form where is the imaginary number defined by John My calculator said it, I believe it, that settles it
 Money_Word_Problems/630021: WRITE AN EQUATION TO REPRESENT THE AMOUNT OF MONEY SALLY HAS IN HER ACCOUNT EACH WEEK.(HINT REMEBER THAT SALLY STARTED WITH \$220 IN THE ACCOUNT)1 solutions Answer 396696 by solver91311(16885)   on 2012-07-19 16:44:34 (Show Source): You can put this solution on YOUR website! 1. You have not provided anywhere near enough information to be able to answer this question. 2. You are using all caps. That is shouting. It is both annoying and rude. So when you repost on the board giving us the entire problem, do not type your question in all caps. 3. Sending me an e-mail response does not qualify as a re-post. Such will be ignored. John My calculator said it, I believe it, that settles it
 Surface-area/630076: I'm having a hard time solving the following question: Naima’s backyard is the shape of a rectangle. The length is 5 m less than twice the width, and the perimeter is 80 m. Find the dimensions of the yard1 solutions Answer 396692 by solver91311(16885)   on 2012-07-19 16:37:09 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: , , and . Do the arithmetic. John My calculator said it, I believe it, that settles it
 Triangles/630070: The sun is shining and I am on a hill. I want to measure the height of a tree downhill from me, using my one-meter stick, and a tape measure for measuring shadows. What do I do to take the slope of the hill into account? A Bend the meter stick. B Place the meter stick on the hill. C Call your mother. D Using the meter stick and the tape measure, recreate the slope E It's not possible. F You don't need to do anything different so long as your meter stick is on the same slope as the tree. 1 solutions Answer 396690 by solver91311(16885)   on 2012-07-19 16:33:24 (Show Source): You can put this solution on YOUR website! F is almost right, and is the nearest thing to a correct answer. What would make it correct would be the restriction that the two shadows, i.e. from the meterstick and the tree must be wholly contained in the slope. That is to say that your calculations will be off somewhat if the shadow of the tree reaches beyond the base of the hill and extends onto the presumably horizontal surface of the valley beneath the hill. John My calculator said it, I believe it, that settles it
 Bodies-in-space/630064: Two cylindrical water tanks have the same dimensions. One is filled to a height of 4 ft while the other is filled to a height of 8 ft. What is the ratio of the amount of water in the two tanks?1 solutions Answer 396687 by solver91311(16885)   on 2012-07-19 16:28:04 (Show Source): You can put this solution on YOUR website! 2 times the height, everything else being equal, means 2 times the volume. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/630067: Let be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P(z > 1.73) = ? P(1.09 < Z < 2.17)= ?1 solutions Answer 396678 by solver91311(16885)   on 2012-07-19 16:01:57 (Show Source): You can put this solution on YOUR website! We can't help you use "the calculator provided" when you don't give us access to "the calculator provided." John My calculator said it, I believe it, that settles it
 Equations/630057: replace the O with <,>,or = to make a true statement 9.65 O 9/12 O is a circle answers a:9.65<91/2 b:91/2>9.65 c:9.65>9 1/2 d: 9.65=9 1/21 solutions Answer 396677 by solver91311(16885)   on 2012-07-19 15:59:35 (Show Source): You can put this solution on YOUR website! Hint: John My calculator said it, I believe it, that settles it
 Quadratic_Equations/630037: Please show me how to solve: x^2=8x-5 I know I have to use the quadratic formula, but I can't figure it out.1 solutions Answer 396675 by solver91311(16885)   on 2012-07-19 15:57:18 (Show Source): You can put this solution on YOUR website! First put it into standard form. The coefficients don't make sense in the quadratic formula unless the equation is in the form: So: then just plug in your coefficients into the quadratic formula and do the indicated arithmetic: where: , , and John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/630035: George and Martha like to practice their swimming together, but their schedules make this difficult to do. Today, they swam together. George swims every five days and Martha swims every three days. How many days until they swim together again? 1 solutions Answer 396665 by solver91311(16885)   on 2012-07-19 15:14:42 (Show Source): You can put this solution on YOUR website! 3 times 5 John My calculator said it, I believe it, that settles it
 Rectangles/629827: a sheet of metal is 9 inches longer than it is wide, and it's total area is 252 square inches. what equation can you use to solve this?1 solutions Answer 396545 by solver91311(16885)   on 2012-07-18 22:12:19 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Geometry_proofs/629736: http://i.imgur.com/Ux3BT.png - this one i need the first questioned answers i know its wrong. http://i.imgur.com/RBDzM.png 16. Reason 6 of theorem 2.7 should be 1. given 2. addition property 3. definition of congruent angles. 4. definition of suppplements. 19. Statement 5 of Theorem 2.7 should be 1. angle B (equal to or congruent) angle D 2. mA + mB (equal to or congruent) mC + mD (after the M's should have the angle sign) 3. mA (equal to or congruent) mC 4. mB (equal to or congruent) mD Then 8-11 (seems easier this way) http://i.imgur.com/Q8ywN.png1 solutions Answer 396543 by solver91311(16885)   on 2012-07-18 22:01:30 (Show Source): You can put this solution on YOUR website! Reason 6: Given John My calculator said it, I believe it, that settles it