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# Recent problems solved by 'Fombitz'

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 Inequalities/320155: y^-2-3y^-1+4=01 solutions Answer 229917 by Fombitz(13828)   on 2010-07-09 16:37:58 (Show Source): You can put this solution on YOUR website!Use a substitution, let . . . . Two solutions: . . .
 Permutations/321026: how many different license plates could be made if the first two places on the license plate are letters that cannot be repeated and the last three places are numbers which can be repeated?1 solutions Answer 229916 by Fombitz(13828)   on 2010-07-09 16:34:38 (Show Source): You can put this solution on YOUR website!First slot would have 26 choices. Second slot would have 25 choices. 3-4-5 slot each have 10 choices.
 Probability-and-statistics/321023: The ages (in years) of seven people and the number of days they spent recovering in the hospital after surgery are given in the following table. Age, x 12 21 38 44 59 63 70 Days in Hospital, y 4 6 7 5 9 11 12 Calculate the correlation coefficient, r. 1 solutions Answer 229915 by Fombitz(13828)   on 2010-07-09 16:32:18 (Show Source): You can put this solution on YOUR website! . . . b= b'= b*b'= . . . . . .
 Miscellaneous_Word_Problems/321015: I keep getting the wrong answer please help. You are choosing between two health clubs. Club A offers a membership for a fee of \$28 plus a monthly fee of \$15. Club B offers a membership for a fee of \$24 plus a monthly fee of \$16. After how many months will the total cost of each health club be the same? What will be the total cost for each club?1 solutions Answer 229899 by Fombitz(13828)   on 2010-07-09 15:28:31 (Show Source): You can put this solution on YOUR website!A: B: Set them equal to each other and solve for M. Solve this equation to get M. Once you solve for M, then use either equation to solve for cost.
 Linear-systems/321022: 6(z + 8) -3z = 241 solutions Answer 229898 by Fombitz(13828)   on 2010-07-09 15:26:18 (Show Source):
Graphs/320153: Graph the inequality on a plane
2x+3y is less than or equal to 6
Thank you
1 solutions

Answer 229897 by Fombitz(13828)   on 2010-07-09 15:24:55 (Show Source):
You can put this solution on YOUR website!

.
.
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Graph the line ,
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.
.

.
.
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Choose a point not on the line and test the inequality.
(0,0) is a good choice.

True, (0,0) is in the solution region.
Shade the region containing (0,0) including the line.
 Solved by pluggable solver: Plot Any Inequality Graphing function :

 Geometry_Word_Problems/319937: Hi can you ohelp me with this problem thank you the area of a rectangle is 32 square feet. The width is half of the length find the length. Thank you! 1 solutions Answer 229895 by Fombitz(13828)   on 2010-07-09 15:17:59 (Show Source): You can put this solution on YOUR website!The area of a rectangle is, . . . Substitute, ft.
 Linear-equations/319947: Graph the line with slope -1 passing through the point (-1,2)1 solutions Answer 229894 by Fombitz(13828)   on 2010-07-09 15:16:08 (Show Source): You can put this solution on YOUR website!Use the slope-intercept form, Now use the point (-1,2) to solve for b. . . . . . .
 Exponents/319976: 3^x+2 =18, then 3x =1 solutions Answer 229893 by Fombitz(13828)   on 2010-07-09 15:11:07 (Show Source):
 Polynomials-and-rational-expressions/320274: (1.x10^3) x (2.4 x 10^4) = 3.6 x 10^7 1 solutions Answer 229892 by Fombitz(13828)   on 2010-07-09 15:08:43 (Show Source): You can put this solution on YOUR website!False!
 Exponential-and-logarithmic-functions/319934: Please help me solve this equation: (4^x)(3^x+1)=21 solutions Answer 229891 by Fombitz(13828)   on 2010-07-09 15:05:23 (Show Source): You can put this solution on YOUR website! or approximately,
 Probability-and-statistics/319927: If all the plots on a scatter diagram lie on a straight line, what is the standard error of estimate? A) -1 B) +1 C) 0 D) Infinity E) None of the above 1 solutions Answer 229890 by Fombitz(13828)   on 2010-07-09 15:01:01 (Show Source): You can put this solution on YOUR website!Error would be data value minus expected value. If the values are the same, the error would be zero. C) is the correct answer.
 Quadratic-relations-and-conic-sections/319924: (x+5)*2+(y+7)*2=21*2 what is the length of the circle.1 solutions Answer 229889 by Fombitz(13828)   on 2010-07-09 14:58:07 (Show Source): You can put this solution on YOUR website!By length, do you mean circumference? If so,
 Inequalities/319948: Solve the inequality for U 5u-3>-8 simplify as much as possible1 solutions Answer 229888 by Fombitz(13828)   on 2010-07-09 14:56:38 (Show Source):
 Sequences-and-series/319907: Given these sets: A = {1, 2, 3, 4} B = {3, 4, 5, 6, 7} C = {3, 5, 7, 9} List the elements of this set B(A∩C)1 solutions Answer 229887 by Fombitz(13828)   on 2010-07-09 14:55:26 (Show Source): You can put this solution on YOUR website!Are you missing an operator? I understand (A∩C) but then what's next? B(A∩C) (A∩C)={3}
 Quadratic_Equations/321012: Complex Fraction: Problem type 2 Simplify as much as possible w_____ w+5w _______ 1+4 _____ w+11 solutions Answer 229886 by Fombitz(13828)   on 2010-07-09 14:53:27 (Show Source): You can put this solution on YOUR website!Could you please re-write your fraction? Don't try to make it visually appealing. Use parentheses to remove any doubts. Example, w/(5+w)= (1+4/(w+1))= Did you mean like this? (w/(5+w))/(1+4/(w+1))= OK Here goes! . . . Dividing by a fraction is the same as multiplying by it's reciprocal.
 Quadratic_Equations/321011: I have tried and can't figure this one out. Please help. x-5(sqrt x)+4=01 solutions Answer 229885 by Fombitz(13828)   on 2010-07-09 14:50:09 (Show Source): You can put this solution on YOUR website!Where did you get stuck? . . . Square both sides. Factor the quadratic. Two solutions: . . . . . . Verify both solutions. . . Both solutions have been verified.
 Polynomials-and-rational-expressions/319919: The profit P (in dollars) generated by selling x units of a certain commodity is given by P(x) = -1500 +12x-0.0004x^2 a. What is the maximum profit? B. How many units must be sold to generate it? 1 solutions Answer 229883 by Fombitz(13828)   on 2010-07-09 14:45:14 (Show Source): You can put this solution on YOUR website!You can find the max. value by putting the equation into vertex form,, by completing the square. . . . . . . The minimum occurs at the vertex. a) b) at :
 Coordinate-system/321006: what is another name for 0 0 1 solutions Answer 229881 by Fombitz(13828)   on 2010-07-09 14:28:26 (Show Source): You can put this solution on YOUR website!You mean (0,0), the origin? If that's not the question, please repost.
 Rational-functions/321005: sum of rational expressions. i tried breaking the question down but i get lost. THE QUESTION: a 2 _____ + _______ (a^2+2a+1) (a^2+6a+5)1 solutions Answer 229880 by Fombitz(13828)   on 2010-07-09 14:27:11 (Show Source): You can put this solution on YOUR website! . . . A common denominator would be ,
 Percentage-and-ratio-word-problems/321004: The mathematics faculty at a college consists of 4 professors, 7 associate professors, 6 assistant professors,and 9 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor. The probability is: (fraction/simplified answer) Thank you!1 solutions Answer 229879 by Fombitz(13828)   on 2010-07-09 14:22:35 (Show Source): You can put this solution on YOUR website!4 P-professors, 7 A-associate professors 6 S-assistant professors 9 I-instructors 26 total P(P)= P(I)= P(P or I)=P(P)+P(I) P(P or I)=
 absolute-value/321002: Solve -5x<-20? It is negative 5x less than or equal to negative 20 -1 solutions Answer 229877 by Fombitz(13828)   on 2010-07-09 14:19:58 (Show Source): You can put this solution on YOUR website! <--- Dividing both sides by (-5) requires you to change the direction of the inequality.
 Length-and-distance/320966: i nedd help in metric lenght1 solutions Answer 229876 by Fombitz(13828)   on 2010-07-09 14:18:05 (Show Source): You can put this solution on YOUR website!You really need to ask a question. What specifically do you need help with?
 test/320963: 1 solutions Answer 229875 by Fombitz(13828)   on 2010-07-09 14:16:22 (Show Source):
 Inequalities/320979: f(x) = x^2 + x + 6 inputs f(2) and f(0)1 solutions Answer 229874 by Fombitz(13828)   on 2010-07-09 14:15:53 (Show Source): You can put this solution on YOUR website!Replace x with the given value and simplify, . . . Now you do it for .
 Exponents/319913: 98207990,22=D^(2/3) D= ??1 solutions Answer 229873 by Fombitz(13828)   on 2010-07-09 14:14:16 (Show Source): You can put this solution on YOUR website! or approximately,
 Pythagorean-theorem/321000: how do you solve the problems step by step 1 solutions Answer 229872 by Fombitz(13828)   on 2010-07-09 14:01:30 (Show Source): You can put this solution on YOUR website!Which problems?
 Points-lines-and-rays/320973: The line L1 => ax + by +c = 0 is perpendicular to line L2=> bx -ay +k = 0 ,which is greater a) slope of L1 b)slope of L2 1 solutions Answer 229871 by Fombitz(13828)   on 2010-07-09 14:01:03 (Show Source): You can put this solution on YOUR website! . . . . . . Without knowing the values of and , you cannot determine which slope is larger.
 Graphs/320955: solve the system of equations 3r - 4s =0 and 2r + 5s = 231 solutions Answer 229869 by Fombitz(13828)   on 2010-07-09 13:49:11 (Show Source): You can put this solution on YOUR website!1. 2. From eq. 1, Multiply eq. 2 by 4, Substitute for , Then find ,
 Polynomials-and-rational-expressions/319833: Divide the polynomials. (a^2 − 28) ÷ (a − 5)1 solutions Answer 229860 by Fombitz(13828)   on 2010-07-09 09:44:52 (Show Source): You can put this solution on YOUR website!First term : Subtract this product from the original polynomial to get the remainder, . . . Second term: Subtract this product from the remainder to get the new remainder, No further division is possible. . . . Gather up the terms and the remainder.