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# Recent problems solved by 'Alan3354'

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 Coordinate-system/278583: How do you graph f(x) = (x-5)^2 - 3? Thank you! 1 solutions Answer 202695 by Alan3354(30961)   on 2010-03-08 19:08:39 (Show Source): You can put this solution on YOUR website!same as any other function. Pick values for x, find the y, or f(x). Plot the points, connect them with smooth curves --------------------- You can get the FREE software to do them from http://www.padowan.dk.com
 Numbers_Word_Problems/278436: The sum of three consectutive intergers is 252. What is the largest of the three intergers? I'm so confused, can I get an explanation on how to do it also? Thanks! 1 solutions Answer 202629 by Alan3354(30961)   on 2010-03-08 12:30:39 (Show Source): You can put this solution on YOUR website!252/3 = 84, the middle number --> 83, 84, 85 85 is the largest, but not by much
 Systems-of-equations/278343: Systems of Equations 1. Solve the following problems for X and Y i these two system equations, and for X and Y and Z, in these three equations. 2. Make sure show your work step by step. 3. Fill the table: Q# Equation 1: Equation 2 : Equation 3: X= : Y= : Z= : ________________________________________________________________________________ 1. X+Y=7; X+2Y=11; none -- -- none ________________________________________________________________________________ 2. 3X+7Y=24; 9X+5Y=24; none -- -- none ________________________________________________________________________________ 3. 4X+Y=17; 2X+3Y=21; none -- -- none ________________________________________________________________________________ 4. 18X+Y=42; 6X-3Y=-6; none -- -- none ________________________________________________________________________________ 5. X+Y+2Z=5; X+Y=5; X+3Y+Z=11; -- -- -- ________________________________________________________________________________ 6. X+10Y+Z=52; 5X+Y+4Z=15; X+2Y-3Z=12; -- -- -- ________________________________________________________________________________ 7. 2X+2Y+4Z=10; 3X+3Y=15; 4X+12Y+4Z=44; -- -- -- ____________________________________________________________________________ 4. What is the difference between system #5 and system #7?1 solutions Answer 202628 by Alan3354(30961)   on 2010-03-08 12:21:18 (Show Source): You can put this solution on YOUR website!7. 2X+2Y+4Z=10 --> x + y + 2z = 5 3X+3Y=15 --> x + y = 5 4X+12Y+4Z=44 --> x + 3y + z = 11 ------------ Reducing often helps. x + y + 2z = 5 x + y + 0z = 5 ---------------- Subtract 2z = 0 z = 0 ------ x + 3y = 11 x + y = 5 ----------- Subtract 2y = 6 y = 3 ------ x = 2 ------ Do the others in a similar manner ---------------- Don't type in all those lines.
 Mixture_Word_Problems/278429: HI! I need your help to solve this word problem. I have a lot of trouble understanding how to short the information out. Word Problem: At a university, 1200 students are enrolled in engineering. There are twice as many in electrical engineering (e) as in mechanical engineering, and three times as many in chemical engineering (c) as in mechanical engineering (m). QUESTIONS: 1. Which system of equations represents the number of students in each program? A)c+m+e=1200,2m=e,3m=c B)c+m+e=1200,3m=e,2m=c C)c+m+e=1200,2e=m,3c=m D)c+m+e=1200,2m=e,3m=2e 2. How many students are enrolled in the mechanical engineering program? A)200 B)400 C)600 D)1200 Thank You for you Time !:) 1 solutions Answer 202625 by Alan3354(30961)   on 2010-03-08 12:04:27 (Show Source): You can put this solution on YOUR website!At a university, 1200 students are enrolled in engineering. There are twice as many in electrical engineering (e) as in mechanical engineering, and three times as many in chemical engineering (c) as in mechanical engineering (m). QUESTIONS: 1. Which system of eqations represents the number of students in each program? A)c+m+e=1200,2m=e,3m=c B)c+m+e=1200,3m=e,2m=c C)c+m+e=1200,2e=m,3c=m D)c+m+e=1200,2m=e,3m=2e ------------------------- There are twice as many in electrical engineering (e) as in mechanical engineering --> e = 2m ------------------------ and three times as many in chemical engineering (c) as in mechanical engineering (m) --> c = 3m ----------------------------- ----------------------------- 2. How many students are enrolled in the mechanical engineering program? A)200 B)400 C)600 D)1200 ---------- c+m+e = 1200 3m + m + 2m = 1200 6m = 1200 Close enough?
 Age_Word_Problems/278390: hello, i need help on solving this type of word problem, but im not sure on how to solve it the problem is Mr.Klinker is 35 and his daughter is 10. In how many years will Mr. Klinker be twice as old as his daughter? Could you please help? thank you. 1 solutions Answer 202565 by Alan3354(30961)   on 2010-03-08 08:54:44 (Show Source): You can put this solution on YOUR website!The age difference is 25, so the daughter will be 25 and he will be 50. Can you take it from there?
 Geometry_Word_Problems/278383: The sum of two consecutive odd numbers is 36. Find the numbers.1 solutions Answer 202563 by Alan3354(30961)   on 2010-03-08 08:52:31 (Show Source): You can put this solution on YOUR website!36/2 = 18, the center, between the 2 numbers. --> 17 & 19
 Vectors/278382: Give the rectangular coordinates: (-3, -120°).1 solutions Answer 202560 by Alan3354(30961)   on 2010-03-08 08:49:03 (Show Source): You can put this solution on YOUR website!Give the rectangular coordinates: (-3, -120°). ---------------------- Make a sketch of the radial. Draw lines to the x and y axes. Label the angle at the Origin. x is the cosine, y is the sine of the angle.
 Travel_Word_Problems/278274: A guy on a bike leaves from point A going 18 MPH. One hour later a car leaves from the same point going 45 MPH. How long will it take for the car to catch the guy on the bike?1 solutions Answer 202508 by Alan3354(30961)   on 2010-03-07 22:06:18 (Show Source): You can put this solution on YOUR website!A guy on a bike leaves from point A going 18 MPH. One hour later a car leaves from the same point going 45 MPH. How long will it take for the car to catch the guy on the bike? --------------------- The bike is 18 miles ahead (and still moving at 18 mph) The car gains on the bike at 27 mph (45-18) 18 miles/27 mph = 2/3 hours = 40 minutes. ------------------------
 Mixture_Word_Problems/278076: Train A is traveling at 100 miles per hour, and train b is traveling at 104 miles per hour/ Train A passes the station at 4:25 a.m and train B passes the station at 4:55 a.m. What time will train B catch up to train A?1 solutions Answer 202502 by Alan3354(30961)   on 2010-03-07 21:22:56 (Show Source): You can put this solution on YOUR website!Train A is traveling at 100 miles per hour, and train b is traveling at 104 miles per hour/ Train A passes the station at 4:25 a.m and train B passes the station at 4:55 a.m. What time will train B catch up to train A? ------------------- Train A goes 50 miles from 525 to 455 (100 mph x 1/2 hour) Train B gains on train A at 4 mph (104 - 100) 50 miles/4 mph = 12.5 hours 0455 + 12.5 = 5:25 PM the same day
 Trigonometry-basics/278230: Use an half-angle formula to find the exact value. pi/241 solutions Answer 202500 by Alan3354(30961)   on 2010-03-07 21:17:27 (Show Source): You can put this solution on YOUR website!pi/24 = 7.5º, if that's what you mean
 Linear-equations/278137: find the slope (-1,-2) (3,-25) thank you1 solutions Answer 202390 by Alan3354(30961)   on 2010-03-07 16:37:33 (Show Source): You can put this solution on YOUR website!m = diffy/diffx = -23/4 m = -23/4
 Trigonometry-basics/277807: Find the endpoint of the radius of the unit circle that makes the given angle with the positive horizontal axis. 7 pi / 6 radians1 solutions Answer 202280 by Alan3354(30961)   on 2010-03-06 20:31:13 (Show Source): You can put this solution on YOUR website!Find the endpoint of the radius of the unit circle that makes the given angle with the positive horizontal axis. 7 pi / 6 radians ------------------ 7pi/6 = 210 degrees x = cos(210) = -sqrt(3)/2 =~ 0.86603 y = sin(210) = -0.5 --> (,)
 Trigonometry-basics/277867: Could you please show me the steps to solve sin 2 y = cos 4 y for y, where 0 degrees = y or < y < 360 degrees. I'm constantly messing up big time somewhere hopefully steps will help.1 solutions Answer 202279 by Alan3354(30961)   on 2010-03-06 20:24:28 (Show Source): You can put this solution on YOUR website! sin 2y = cos4 y for y, where 0 degrees = y or < y < 360 degrees ------------- sin(2y) = cos^2(2y) - sin^2(2y) sin(2y) = 1-sin^2(2y) - sin^2(2y) = 1 - 2sin^2(2y) 2sin^2(2y) + sin(2y) - 1 = 0 a quadratic in sin(2y) (2sin + 1)*(sin - 1) = 0 sin(2y) = -1/2 sin(2y) = 1 --------------- sin(2y) = 1 2y = 90, 450 y = 45, 225 -------------- sin(2y) = -1/2 2y = 210, 330, 570, 690 y = 105, 165, 285, 345 All y values in degrees
 real-numbers/277880: Does 8 = { }1 solutions Answer 202278 by Alan3354(30961)   on 2010-03-06 20:12:53 (Show Source): You can put this solution on YOUR website!no
 Trigonometry-basics/277835: I'm so lost can someone please show me how to find the amplitude, period, phase shift and vertical displacement for y= sqrt7cos (5(x-85degrees))- 1.2 compared to y= cos x.1 solutions Answer 202244 by Alan3354(30961)   on 2010-03-06 17:42:22 (Show Source): You can put this solution on YOUR website!The amplitude is sqrt(7) The period is 2pi/5 Vertical displacement is -1.2 phase shift = 425º = 65º
 Quadratic_Equations/277825: Can someone help with finding the vertex in this problem? g(x) = x^2+4x+6 ___ 2 1 solutions Answer 202229 by Alan3354(30961)   on 2010-03-06 16:38:53 (Show Source): You can put this solution on YOUR website!I just did a vertex problem. Look at it, do this the same way.
 Quadratic_Equations/277823: Can someone help with finding the vertex in the folowing problem? f(x)=x^2-7x+121 solutions Answer 202228 by Alan3354(30961)   on 2010-03-06 16:38:30 (Show Source): You can put this solution on YOUR website!I just did a vertex problem. Look at it, do this the same way.
 Quadratic_Equations/277828: Can someone explain this problem on finding the vertex? f(x)=-2-6x+31 solutions Answer 202227 by Alan3354(30961)   on 2010-03-06 16:36:39 (Show Source): You can put this solution on YOUR website!It's a straight line, there is no vertex
 Quadratic_Equations/277827: Can anyone help with the following problem? g(x)=2x^2+6x+81 solutions Answer 202222 by Alan3354(30961)   on 2010-03-06 16:10:46 (Show Source): You can put this solution on YOUR website!Help how? What do you want to do?
 Linear-systems/276088: I'm having trouble figuring out this lesson in my algebra class, I am taking an online course, and it isn't giving me clear enough information. If you could please help me I would really appreciate it, thank you.1 solutions Answer 202221 by Alan3354(30961)   on 2010-03-06 16:09:22 (Show Source): You can put this solution on YOUR website!You'll have to be more specific.
 test/277706: sketch the graph of y=cos x, where x is measured in radians, taking values of x from 0 to ¶ (pi) THANK YOU SOOOOOOOOOOO MUCH IF YOU COULD HELP ME, YOU WOULD BE SAVING MY LIFE!!!1 solutions Answer 202171 by Alan3354(30961)   on 2010-03-06 10:43:24 (Show Source): You can put this solution on YOUR website!dl the FREE graph software from http://www.padowan.dk.com
 Linear-equations/276976: Hi I have a few problems that I am just stuck on! I appreciate any assistance that you can offer...I am terrible at alegbra and have no clue to help understand it. time is of essence...thanking you in advance for your time and understanding. Here are the problems: Find the slope and the y- intercept of the line. Write the fractional answer in lowest terms. y= -7/4x - 1/9 the slope is:??? the y intercept is(0, ) 2. find the slope and the y intercept: y=2.9x - 5 the slope is:??? the y intercept is (0,) 3. 3x = 4y + 24 (ditto as above) 4. 7- 1/5 y = 2x I hope you can help...1 solutions Answer 202156 by Alan3354(30961)   on 2010-03-06 08:56:48 (Show Source): You can put this solution on YOUR website!Find the slope and the y- intercept of the line. Write the fractional answer in lowest terms. y= -7/4x - 1/9 the slope is:??? the y intercept is(0, ) This is in slope-intercept form, y = mx + b m = slope b is the y-intercept m = -7/4 slope b = -1/9 --> (0,-1/9) ---------------------------- 2. find the slope and the y intercept: y=2.9x - 5 the slope is:??? the y intercept is (0,) Same as above -------------------- 3. 3x = 4y + 24 (ditto as above) Solve for y. -------------- 4. 7- 1/5 y = 2x Solve for y.
 Money_Word_Problems/276113: Find the equation of the line containing the given pair of points. Express you answer in the form of x=a, y=b, or y=mx+b. (-3,-3) and (4,4) What is the equation of the line? y=????1 solutions Answer 202154 by Alan3354(30961)   on 2010-03-06 08:47:52 (Show Source): You can put this solution on YOUR website!Just look at both points, the numbers are the same. y = x ----------- --> y = 1x + 0, but y=x is sufficient
 logarithm/277571: [inside brackets = Base] (log[5](3x+10))-(3log[5](4))=2 Solve the equation. Thanks.1 solutions Answer 202150 by Alan3354(30961)   on 2010-03-06 07:47:35 (Show Source): You can put this solution on YOUR website![inside brackets = Base] (log[5](3x+10))-(3log[5](4))=2 Solve the equation. ----------------------- (3x+10)/64 = 25 3x+10 = 1600 3x = 1590 x = 530
 Proportions/277608: Company INC is making baseball gloves. Last month, with 60 workers, they made 1000 gloves. If they hire 15 more workers this month, how many gloves can be made at the same rate? What would my equation look like to solve this?1 solutions Answer 202138 by Alan3354(30961)   on 2010-03-05 22:18:40 (Show Source): You can put this solution on YOUR website!Company INC is making baseball gloves. Last month, with 60 workers, they made 1000 gloves. If they hire 15 more workers this month, how many gloves can be made at the same rate? What would my equation look like to solve this? ------------------------ 60 workers made 1000 gloves 75 workers is 60*1.25 1.25 times as many workers will make 1.25 times as many gloves 1000*1.25 = 1250 gloves --------------------------- You can set up a proportion 60:1000::75:g 60g = 75000 g = 75000/60 g = 1250 gloves ++++++++++++++++++++++ The other tutor calculated the output for 15 workers, not for 15 MORE workers.
 Trigonometry-basics/277646: Tangent of 56 degrees with a hypotenuse of 42 whats it adjacent angle?1 solutions Answer 202097 by Alan3354(30961)   on 2010-03-05 18:32:04 (Show Source): You can put this solution on YOUR website!Do you mean an angle of 56º? The tangent of 56º =~1.482561 The arctan(56) =~88.9769698º ----------------------------- What is an "adjacent angle?" Is this a trick? ------------------- Learn to say what you mean. It will come in handy in life.
 Triangles/277604: what is the base of the triangle if the height is 95 and the answer is 10451 solutions Answer 202090 by Alan3354(30961)   on 2010-03-05 17:14:11 (Show Source): You can put this solution on YOUR website!If the answer is 1045, then it's (whatever it is) 1045. ------------------ If you meant to say the area is 1045, then the base is 22
 Rational-functions/277497: whats the ratio for 2 prices spent in two seperate months on bills and such, that both equal 2400\$1 solutions Answer 202077 by Alan3354(30961)   on 2010-03-05 14:42:54 (Show Source): You can put this solution on YOUR website!2 of \$2400 each are 1:1
 Rectangles/277518: The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the perimeters? Of the areas? 1 solutions Answer 202031 by Alan3354(30961)   on 2010-03-05 11:10:55 (Show Source): You can put this solution on YOUR website!The perimeter is a linear function of side length, so the ratio is the same, 8 to 7. ---------- Area is a function of the square of side length, so its ratio is 64 to 49, .