Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'Fombitz'

Fombitz answered: 13805 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829, >>Next

Matrices-and-determiminant/259246: solve for x,y and,z seperate the values with a comma -6x+4y-8z=22 -3x-2y-9z=5 0x-9y-8z=-7 1 solutions Answer 190862 by Fombitz(13828)   on 2010-01-21 09:55:12 (Show Source): You can put this solution on YOUR website! Is a matrix solution OK? I used EXCEL to solve. (x,y,z)=(-7,-1,2)

Trigonometry-basics/259200: please sketch the graph of this function: f(x)=2 arccos x 1 solutions Answer 190861 by Fombitz(13828)   on 2010-01-21 09:53:07 (Show Source): You can put this solution on YOUR website! There seems to be a glitch in the software that's causing it to plot cos(x) instead of arccos(x). Check out the link http://www.wolframalpha.com/input/?i=graph+of+2*arccos%28x%29

Trigonometry-basics/259199: sketch the graph of this function: f(x)=2arcsin(1/2 x) 1 solutions Answer 190860 by Fombitz(13828)   on 2010-01-21 09:47:59 (Show Source): You can put this solution on YOUR website!

Subset/259171: (yellow ,Orange}aproper subsetof {yellow,pink,purple} 1 solutions Answer 190859 by Fombitz(13828)   on 2010-01-21 09:42:30 (Show Source): You can put this solution on YOUR website! No, there is no orange in {yellow, pink, purple} so it can't be a subset.

Linear_Algebra/259170: Solve each system x+z=0 x+y+2z=3 y+z=2 1 solutions Answer 190858 by Fombitz(13828)   on 2010-01-21 09:41:01 (Show Source): You can put this solution on YOUR website! Use equation 1, Substitute this value in eqs.2 and 3, 4. . . . 5. As you see eqs. 4 and 5 have the same left hand side and different right hand side. The system of equations is inconsistent. No solution.

Quadratic_Equations/259244: What is the answer to to y from this equation: 8x-2y=44 1 solutions Answer 190856 by Fombitz(13828)   on 2010-01-21 09:33:18 (Show Source): You can put this solution on YOUR website!

Points-lines-and-rays/259248: I have never had to take algebra before and I have no idea how to solve this question, can you explain it to me in a short, easy to understand way to get, so i can try on my own? Please help me solve this problem: Slope= 6/7 , passing through(5,-6) (this is 6 over 7 as in a fraction) 1 solutions Answer 190855 by Fombitz(13828)   on 2010-01-21 09:32:13 (Show Source): You can put this solution on YOUR website! Use the point-slope form of a line with point (xp, yp) and slope m: . . . . .

Square-cubic-other-roots/259230: what is the sqrt of (a+8)^2 1 solutions Answer 190846 by Fombitz(13828)   on 2010-01-21 08:47:13 (Show Source): You can put this solution on YOUR website!

Linear-equations/259182: determine whether the pair of lines is parallel, perpendicular, or neither. 2x+5y=2 and 2x+5y=9 1 solutions Answer 190845 by Fombitz(13828)   on 2010-01-21 08:46:35 (Show Source): You can put this solution on YOUR website! Same left hand side and different right hand side means parallel lines.

Equations/259198: Please solve this problem g{f(x)} using f(x)=2x+3 and g(x)=3x-4 Please show work and how you got the correct answer. Thank you. 1 solutions Answer 190844 by Fombitz(13828)   on 2010-01-21 08:45:56 (Show Source): You can put this solution on YOUR website! f(g(x)) means wherever there is an x in f, substitute g(x).

Quadratic_Equations/259196: Solve by completing the square. m squared - (25 over 2)m = 5 over 2 The solutons are ? Thank you so much for your help. 1 solutions Answer 190843 by Fombitz(13828)   on 2010-01-21 08:43:33 (Show Source): You can put this solution on YOUR website!

Expressions-with-variables/259180: show how to find the domain expressed in interval notation g(x)= (3x-7) / (2x^2-3x-5) 1 solutions Answer 190842 by Fombitz(13828)   on 2010-01-21 08:39:24 (Show Source): You can put this solution on YOUR website! The domain is all x except for x which make the denominator zero since division by zero is not allowed. Two solutions: . . . . . . (,)U(,)U(,) . . .

Geometry_Word_Problems/259157: The base angle of an isosceles triangle is 4 times as large as the vertex angle. Find the measure of the base angle to the nearest hundreth 1 solutions Answer 190840 by Fombitz(13828)   on 2010-01-21 08:31:24 (Show Source): You can put this solution on YOUR website! Since it's isoceles, both base angles are the same measure. The vertex angle is 20 degrees. The base angle is 80 degrees.

Radicals/259158: This formula is supposed to be carburetor mm's open, and the resulting rpm's for peak performance with 2.8L displacement. Please advise on calculations of this formula: D(p)=.75√(2.8)p D=81 p=4166 If you would, please help with calculations to arrive at 4166, and I also need to reverse the formula where D=84, and p=4480. I'm not sure how to do this either. Thank you! dmaher 1 solutions Answer 190839 by Fombitz(13828)   on 2010-01-21 08:29:39 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/259221: factor completely. if the polynomial is prime please state. I was able to factor but not sure if polynomial is prime 75x^2 – 3 3(25x^2 -1) 1 solutions Answer 190837 by Fombitz(13828)   on 2010-01-21 08:25:38 (Show Source): You can put this solution on YOUR website! One more step. Whenever you have a difference of squares, it factors as follows, In your case,

Functions/259139: I have a question concerning exclusion, domain and function. THe question reads: What values are excluded from the domain of the function: H(x)=x-2/x+2 Any help is greatly appreciated 1 solutions Answer 190834 by Fombitz(13828)   on 2010-01-21 07:59:48 (Show Source): You can put this solution on YOUR website! Division by zero is not allowed so any value that makes the denominator zero would be excluded. All x are allowed except x=-2.

Polynomials-and-rational-expressions/259120: Write the equation for the parabola with the given vertex and through the given point in vertex form... vertex (3,-2) and point (0,0) 1 solutions Answer 190833 by Fombitz(13828)   on 2010-01-21 07:56:56 (Show Source): You can put this solution on YOUR website! Vertex form: When x=0, y=0

Linear-equations/258880: I need to know about y-intercept. Can you help me please? 1 solutions Answer 190597 by Fombitz(13828)   on 2010-01-20 16:03:09 (Show Source): You can put this solution on YOUR website! The y-intercept is the y value when x=0. It's that simple. Set x=0, solve for y.

Numbers_Word_Problems/258804: find 3 consecutive integers such that the square root of the first plus the product of the other two is 46. 1 solutions Answer 190596 by Fombitz(13828)   on 2010-01-20 15:56:06 (Show Source): You can put this solution on YOUR website! The first integer has to be a square so that the square root is an integer. , , , , , , , , , We're already over 46 and this function will only increase. No solution.

Linear-equations/258792: The number of miles remaining for a jet traveling from San Francisco to New York can be approximated with the linear equation Miles remaining = 2650 - 475t where t is the number of hours since leaving San Francisco. In how many hours will the jet be 1,000 miles from New York ? 1 solutions Answer 190591 by Fombitz(13828)   on 2010-01-20 15:43:39 (Show Source): You can put this solution on YOUR website! t=3.474 hrs t=3 hrs 28 minutes

Miscellaneous_Word_Problems/258728: The alpine valley ski shop sold 6 times as many downhill skis as cross-country skis. Determine the number of pairs of cross-country skis sold if the difference in the number of pairs of downhill and cross-country skis sold is 1800. 1 solutions Answer 190590 by Fombitz(13828)   on 2010-01-20 15:41:30 (Show Source): You can put this solution on YOUR website! C-cross country skis D-downhill skis 1. 2. Substitute eq. 1 into eq. 2, 2. . . . 2160 pairs of downhill skis and 360 pairs of cross country skis.

Linear-equations/258854: please help me solve... xy = -13 and y = 7/x both with inputs of 0 and 2 1 solutions Answer 190588 by Fombitz(13828)   on 2010-01-20 15:38:38 (Show Source): You can put this solution on YOUR website! No solution. The function is not defined for x=0. . . (2,-13/2) . . . No solution. The function is not defined for x=0. . . (2,7/2)

Rational-functions/258868: How do I determine the restricted values, if any, of a rational expression? 1 solutions Answer 190586 by Fombitz(13828)   on 2010-01-20 15:35:49 (Show Source): You can put this solution on YOUR website! Look for values of x that are not allowed or lead to an undefined function. Particularly, division by zero, square root and logarithm arguments less than zero. Examples: , is not allowed, because of division by zero. . . . , is not allowed. . . . etc.

Rectangles/258860: You have 500 ft of fencing all rolled up and you want to make a rectangular playground area for your son. What are the dimensions of the largest playground you could build? 1 solutions Answer 190579 by Fombitz(13828)   on 2010-01-20 15:07:16 (Show Source): You can put this solution on YOUR website! For a rectangle, the perimeter is Substitute this into the area equation, To find the maximium area, take the derivative and set it to zero. so you know that the value you get is a maximum (2nd derivative test). The rectangle with the most area is actually a 125' x 125' square.

Quadratic_Equations/258856: Give exact and approximate solutions to three decimal places. (x+9)^2=4 What are the exact solutions? x = ? Thank you so much. 1 solutions Answer 190578 by Fombitz(13828)   on 2010-01-20 15:03:31 (Show Source): You can put this solution on YOUR website! Two solutions: x1=-2-9=-11.000 x2=2-9=-7.000

Numbers_Word_Problems/258731: For every positive 2-digit number, x, with tens digit t and units digit u, let y be the 2-digit number formed by reversing the digits of x. Which of the following expressions is equivalent to x − y ? a) 9(t − u) b) 9(u − t) c) 9t − u d) 9u − t e) 0 1 solutions Answer 190577 by Fombitz(13828)   on 2010-01-20 15:01:38 (Show Source): You can put this solution on YOUR website! a) is the correct answer Example:

Polynomials-and-rational-expressions/258696: I am having difficulty solving this homework problem. 4n^2 + 4n-3/6n^2 -n - 15 * 8n^2 +32n +30/4n^2 +16n +15= Any help would be appreciated. 1 solutions Answer 190574 by Fombitz(13828)   on 2010-01-20 14:59:34 (Show Source): You can put this solution on YOUR website! Simplify first. and finally

percentage/258673: Operation MGNT: Suppose that a company produce 300 standard bookcases last week using eight workers and produced 240 standard bookcaes this week using six workers. In which period was productivity higher? 1 solutions Answer 190571 by Fombitz(13828)   on 2010-01-20 14:47:05 (Show Source): You can put this solution on YOUR website! bc/worker last week bc/worker this week This week's productivity was higher.

Triangles/258676: One side of a rectangle is one foot longer than twice the other side, and the perimeter is 56 feet. 1 solutions Answer 190570 by Fombitz(13828)   on 2010-01-20 14:45:02 (Show Source): You can put this solution on YOUR website! 1. 2. Substitute eq. 2 into eq. 1,

Linear_Algebra/258682: Can you just give me how to start this problem - Find the determinant of the matrix 1 1 1 - - - 1 1 2 2 - - - 2 1 2 3 - - - 3 - - - - - - - 1 2 3 - - - N Would you expand the whole thing and solve?? 1 solutions Answer 190568 by Fombitz(13828)   on 2010-01-20 14:43:04 (Show Source): You can put this solution on YOUR website! Start simple. Find this determinant. It's 1. Find this determinant. It's also 1. I see a pattern here. Good luck!

Miscellaneous_Word_Problems/258677: The acceleration of an object after t seconds is a(t)=t^2+5ms^-2 . If the velocity at t=2 was 6ms^-1 , what was the velocity at t=4? 1 solutions Answer 190567 by Fombitz(13828)   on 2010-01-20 14:40:21 (Show Source): You can put this solution on YOUR website! Acceleration is the derivative of velocity. You can integrate to find velocity. Use the condition to solve for C.