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# Recent problems solved by 'Fombitz'

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 Polynomials-and-rational-expressions/353584: Perform the indicated operations and simplify: z-7/z-9 - z+1/z+9 + z-45/z^2-81 I came up with 3/z+9 Multiply. (5sqrt2 - 10sqrt5)(3sqrt2 + 6sqrt5) Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. ^3sqrtY^7 ^3sqrt16Y^8 Any help is very much appreciated. Thank you in advance. 1 solutions Answer 252641 by Fombitz(13828)   on 2010-10-08 09:53:48 (Show Source): You can put this solution on YOUR website!First one: You have an addition error somewhere. The answer should be . Check your work to see if you can spot the error. . . . Use the FOIL method, . . .
 Functions/353549: find the derivative of the function using the chain rule y = cos (a^3 + x^3)1 solutions Answer 252637 by Fombitz(13828)   on 2010-10-08 09:43:57 (Show Source): You can put this solution on YOUR website!Let
 Exponents/353582: find the derivative of the function 1 solutions Answer 252636 by Fombitz(13828)   on 2010-10-08 09:40:29 (Show Source): You can put this solution on YOUR website!Use the chain rule, Let Put it all together,
 Exponents/353583: find the derivative of the function y = 2^3^x^21 solutions Answer 252630 by Fombitz(13828)   on 2010-10-08 09:26:29 (Show Source): You can put this solution on YOUR website! Use the chain rule, Let , let , Putting it all together,
 Finance/353579: I am trying to solve for the unknown profit margin (PM) but I don't understand how to properly work the equation. Below, I have copied the equation as it is written in my text book: .10 = PM(1.5)(.6)/ [1 - PM(1.5)(.6) PM = .1/ .99 = 10.1% Please advise the steps. Thank you. DW 1 solutions Answer 252629 by Fombitz(13828)   on 2010-10-08 09:25:46 (Show Source): You can put this solution on YOUR website! . . . . . . . . . . . .
 Linear-equations/353525: graph the fuction f(x)=|x+1|+|x-1|.show the steps, please, thanks.1 solutions Answer 252628 by Fombitz(13828)   on 2010-10-08 09:21:18 (Show Source): You can put this solution on YOUR website! when when . when when . . . when when . when when . . . So now build the function and use the two critical points and . When When When . . Now graph it. . .
 Length-and-distance/353516: the measure of an angle is one fourth the measure of it supplament. Find the measure of the angle 1 solutions Answer 252625 by Fombitz(13828)   on 2010-10-08 09:13:31 (Show Source): You can put this solution on YOUR website! . . Substitute, degrees . . degrees
 Number-Line/353511: how would this be answered on a number line A=(-9,7), B=(0,8)1 solutions Answer 252624 by Fombitz(13828)   on 2010-10-08 09:11:44 (Show Source): You can put this solution on YOUR website!I'm not sure what you mean by answered but the two points can be plotted on a coordinate plane. First Point A:(-9,7), . . . . . . Then Point B:(0,8), . . .
 expressions/353482: Need help badly on these two questions!!!! 2/3 x -7 =x 8(5-n)=2n1 solutions Answer 252623 by Fombitz(13828)   on 2010-10-08 09:07:07 (Show Source): You can put this solution on YOUR website! Multiply both sides by 3. Now solve for x. . . . Now solve for n.
 test/353490: Well I was wondering with a problem like ummm say 8(12m/3)-2(3m) now how could u simplify that step by step?? THANK YOU1 solutions Answer 252621 by Fombitz(13828)   on 2010-10-08 09:04:59 (Show Source): You can put this solution on YOUR website!Since both terms in the expression have an in common factor the out. Now simplify.
 Inequalities/353487: 3x-1/x-7 is less than or equal to 4 inequality problem using infinity1 solutions Answer 252619 by Fombitz(13828)   on 2010-10-08 09:01:53 (Show Source): You can put this solution on YOUR website! . . . Break up the number line into 3 regions using the critical points from the equation. Region 1:(,) Region 2:(,) Region 3:(,) . . For each region pick a test point (not an endpoint). Test the inequality. If the inequality is satisfied, the region is part of the solution region. Region 1: True, this region is part of the solution. . . Region 2: False, this region is not part of the solution. . . Region 1: True, this region is part of the solution. . . Solution region: (,) U (,)
 Numeric_Fractions/353569: what is the decimal and percent of 13 over 12 1 solutions Answer 252616 by Fombitz(13828)   on 2010-10-08 08:51:16 (Show Source): You can put this solution on YOUR website!, with the repeating. 108.3%
 test/353555: Which equation goes through these points: (2,-3),(-4,6),and (0,0) A. 4x+y^2/4=8 B. 3xy^2/16=6 C. 3x+2y=0 D. 4x+y=8 Please help me and thank you1 solutions Answer 252615 by Fombitz(13828)   on 2010-10-08 08:49:23 (Show Source): You can put this solution on YOUR website! The three points lie on a straight line so only C and D are possible choices. The line goes through the origin so D is eliminated since it leads to an inconsistency. . . . By elimination, it's C.
 Average/353567: The mean of four numbers is 83. If three of the numbers 82, 75, and 85, what is the fourth number?1 solutions Answer 252612 by Fombitz(13828)   on 2010-10-08 08:43:52 (Show Source): You can put this solution on YOUR website! Now solve for .
 Numbers_Word_Problems/353502: prove that the sum of a positive real number and its reciprocal is at least two.1 solutions Answer 252568 by Fombitz(13828)   on 2010-10-08 00:02:05 (Show Source): You can put this solution on YOUR website! In order for the quadratic equation to have a real solution, the discriminant must be greater than or equal to 0.
 Trigonometry-basics/353499: Find all solutions of the following equation on the interval [0, 2pi) -csc^2(x)+2=0 Thanks1 solutions Answer 252567 by Fombitz(13828)   on 2010-10-07 23:57:11 (Show Source): You can put this solution on YOUR website! , , ,
 Travel_Word_Problems/353279: 2 trains 360 miles apart, their speeds differ by 20mph. What speed is each train traveling for them to meet in three hours. Need to know how to set this up thanks1 solutions Answer 252446 by Fombitz(13828)   on 2010-10-07 16:36:21 (Show Source): You can put this solution on YOUR website!Rate*Time=Distance . . . You also know that, . . Substitute for and with known value and only as a variable. Then solve for and then go back and find .
Graphs/353178: graph the inequality on a plane 3x+4yless than or equal to 12
1 solutions

Answer 252444 by Fombitz(13828)   on 2010-10-07 16:32:25 (Show Source):
You can put this solution on YOUR website!
Plot the line using the intercepts, (,) and (,).
.
.
.

.
.
.
Choose a point not on the line.
(,) is a convenient choice.
Test the inequality.

True, so shade the region containing (,).
.
.
.
 Solved by pluggable solver: Plot Any Inequality Graphing function :

 Polynomials-and-rational-expressions/353192: I'm trying to find a polynomial for the perimeter and area of a rectangle. n+6 is on the top and n is on the right side.. 1 solutions Answer 252441 by Fombitz(13828)   on 2010-10-07 16:26:41 (Show Source): You can put this solution on YOUR website!The area of a rectangle is, The perimeter of a rectangle is, . . . You also know that, Substitute, I'll leave you to finish the perimeter by subsituting just like I did in the area equation. Substitute and simplify.