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absolute-value/294858: x(|x-2|)>=0. x-2 is an absolute value. I thought the answer was x= all real numbers, but the x on the outside of the bracket messes that up. How do I approach this? 1 solutions Answer 212603 by Fombitz(13828)   on 2010-04-21 16:52:20 (Show Source): You can put this solution on YOUR website! Absolute value problems are really two problems in one. Positive solution (where ): This is true when and also when . . . Negative solution (where ): Break up the region into three regions, and test a point to check the inequality , No, not in the valid region. . . . , Yes, in the valid region. . . . , No, not in the valid region. So from the negative solution, the valid region would be (0,2). Put together with and , then the valid region is, ()

logarithm/294909: solve log6 5y 1 solutions Answer 212601 by Fombitz(13828)   on 2010-04-21 16:44:44 (Show Source): You can put this solution on YOUR website! You don't have an "=" and a right hand side so it's an expression and not an equation. Please re-post.

Complex_Numbers/294908: How do I solve complex number problems like 6+5i/-2i, 2/7-8i, 3-i/2-i, and 2-4i/1+3i? 1 solutions Answer 212599 by Fombitz(13828)   on 2010-04-21 16:43:49 (Show Source): You can put this solution on YOUR website! For division by a complex number, multiply numerator and denominator by the complex conjugate of the divisor. I'll show you one.

Distributive-associative-commutative-properties/294886: can you show me the reverse foil of 3m^2 + 14m -5 1 solutions Answer 212597 by Fombitz(13828)   on 2010-04-21 16:37:30 (Show Source): You can put this solution on YOUR website! If you FOIL the right hand side, you get, Comparing to your equation, Integer factors of 5 are 1 and 5. , , , , All of those combinations solve Now check using the other equation to see which one is correct. , No, next set. . . . , That's the one. So then a=-1, b=5.

Linear-equations/294860: Can you help me solve (x-5)to the second power + (y-3)to the second power=4 function? domain? range? 1 solutions Answer 212595 by Fombitz(13828)   on 2010-04-21 16:31:57 (Show Source): You can put this solution on YOUR website! This function is a circle centered at (5,3) with a radius of 2. Domain: x can vary from 5-2=3 to 5+2=7. Range: y can vary from 3-2=1 to 3+2=5.

Probability-and-statistics/294905: (Express the probability as a fraction in lowest terms, as a decimal,and as a percent.) Find P(sum is 6 or sum is 9) Find P(sum in even) 1 solutions Answer 212594 by Fombitz(13828)   on 2010-04-21 16:28:04 (Show Source): You can put this solution on YOUR website! I think you need some more explanation. The sum of what?

Polynomials-and-rational-expressions/294857: Factor the polynomial x2 + 10x + 9. Enter each factor as a polynomial in descending order. 1 solutions Answer 212593 by Fombitz(13828)   on 2010-04-21 16:25:30 (Show Source): You can put this solution on YOUR website! Descending order? How do you mean?

Exponential-and-logarithmic-functions/294874: I need help with the following exponential please. Solve: 7^-x-3* 7^1+x -4=0 Please note that -4 is not part of 7^1+x Thank you very much. I have a test in the morning and I really want to make sure I have these questions right. 1 solutions Answer 212592 by Fombitz(13828)   on 2010-04-21 16:24:33 (Show Source): You can put this solution on YOUR website! Ugh. Please use more parentheses, they're free and help avoid confusion. I think this is what you want. If not please re-post. Clearly this is not true. There is no solution. . . . <<----- ADDITIONAL INFORMATION ----->> >> This is what I mean. << OK, that's clearer. Again, multiply by . Pull out a 7 from the second term. Re-arrange. Substitute, let , then This quadratic is factorable. Two solutions using the zero product rule: Now substitute back . . . No solution here, since log requires positive arguments. . . . Verify the one solution. Good solution.

Rational-functions/294899: Factor: z sq.-9z-36 1 solutions Answer 212591 by Fombitz(13828)   on 2010-04-21 16:20:17 (Show Source): You can put this solution on YOUR website!

Linear-equations/294896: find the slope of this line (0,0) and (3,9) 1 solutions Answer 212589 by Fombitz(13828)   on 2010-04-21 16:18:48 (Show Source): You can put this solution on YOUR website! Slope is change in y divided by change in x.

Exponents-negative-and-fractional/294850: 2 - 2i divided by 5 + 3i Please simplify. Thank you. 1 solutions Answer 212588 by Fombitz(13828)   on 2010-04-21 16:12:51 (Show Source): You can put this solution on YOUR website!

Equations/294606: How do you solve for x=-5 and graph? 1 solutions Answer 212537 by Fombitz(13828)   on 2010-04-21 10:34:33 (Show Source): You can put this solution on YOUR website! For all values of y, x=-5. . . .

Linear-equations/294749: I am not understanding how to use substitution or elimination of systems of equations. 2x+3y=8 and 3x+2y=7 1 solutions Answer 212535 by Fombitz(13828)   on 2010-04-21 10:31:19 (Show Source): You can put this solution on YOUR website! 1. 2. From eq. 1, Now subsitute into eq.2, Then you can use either equation to solve for x.

Quadratic-relations-and-conic-sections/294735: for the circle (x-2)^2+(y+3)^2=9 find the x and y intercepts. i need step by step 1 solutions Answer 212533 by Fombitz(13828)   on 2010-04-21 10:27:00 (Show Source): You can put this solution on YOUR website! To find the x-intercepts, set y=0 and solve for x. (,) To find the y-intercepts, set x=0 and solve for y. (,) and (,) . . .

Percentage-and-ratio-word-problems/294546: You roll two dice. What is the probability that you will roll a combination where the difference is less than two? 1 solutions Answer 212531 by Fombitz(13828)   on 2010-04-21 10:19:10 (Show Source): You can put this solution on YOUR website! Do you mean absolute value of the difference or not? We'll do it both ways. There are 36 possible outcomes for the roll of two die. Here are the outcomes and the absolute value of the difference. 1 1 0 1 2 1 1 3 2 . . . 6 5 1 6 6 0 When you look at all of the occurences you get, 0, 6 outcomes 1, 10 outcomes 2,8 outcomes 3,6 outcomes 4,4 outcomes 5,2 outcomes Less than two, that's the total of 0 and 1 which is 16 outcomes. P(diff<2)=16/36=4/9. . . . If we don't use absolute value, 1 1 0 1 2 -1 1 3 -2 . . . 6 5 1 6 6 0 When you look at all of the occurences you get, -5 ,1 outcomes -4 ,2 outcomes -3 ,3 outcomes -2 ,4 outcomes -1 ,5 outcomes 0 ,6 outcomes 1 ,5 outcomes 2 ,4 outcomes 3 ,3 outcomes 4 ,2 outcomes 5 ,1 outcomes Less than 2, would be from -5 to 1, for a total of 1+2+3+4+5+6+5=26 outcomes P(diff<2)=26/36=13/18.

Rational-functions/294585: determine all asymptotes(vertical,horizonalor oblique) f(x)= 2^2-3x+2/4x^2-1 1 solutions Answer 212528 by Fombitz(13828)   on 2010-04-21 10:00:15 (Show Source): You can put this solution on YOUR website! Vertical asymptotes occur when the denominator goes to zero. and The vertical asymptotes are shown below in blue. . . . Horizontal asymptotes occur as x goes to infinity. Divide numerator and denominator by . Now as x goes to infinity, the crossed out terms go to zero. The horizontal asymptote would be y=1/2 (shown below in green). There are no oblique asymptotes. . . .

Rectangles/294727: A rectangle is three times as long as it is wide. The perimeter is 24 m. Find the length. 1 solutions Answer 212525 by Fombitz(13828)   on 2010-04-21 09:38:34 (Show Source): You can put this solution on YOUR website! "three times as long as it is wide" "perimeter is 24 m" Substitute from above, Then from above, The rectangle is 3m x 9m.

Travel_Word_Problems/294734: What does x equal in this formual 95=13+45lnx 1 solutions Answer 212524 by Fombitz(13828)   on 2010-04-21 09:36:09 (Show Source): You can put this solution on YOUR website! or approximately

Rational-functions/294542: Divide or write 1-4i/1+4i in the form a + bi. 1 solutions Answer 212510 by Fombitz(13828)   on 2010-04-21 08:14:26 (Show Source): You can put this solution on YOUR website! . . . . . . . .

Rational-functions/294448: Two terms of an arithmetic sequence are a8 =76 and a28=96 find a rule for the nth term 1 solutions Answer 212326 by Fombitz(13828)   on 2010-04-20 16:44:46 (Show Source): You can put this solution on YOUR website! In general, Find a1 and d, 1. 2. From eq. 1, Substitute into eq. 2, Then from eq. 1, So then the rule becomes,

Sequences-and-series/294403: What is Sn for the arithmetic series with d = -4, an = 27, and n = 9? a. 360 b. 387 c. 418 d. 451 1 solutions Answer 212324 by Fombitz(13828)   on 2010-04-20 16:36:23 (Show Source): You can put this solution on YOUR website! Sum= Sum= b) is the answer.

Rational-functions/294487: Grap the function: (2x^2-3)/x+2 1 solutions Answer 212320 by Fombitz(13828)   on 2010-04-20 16:28:23 (Show Source): You can put this solution on YOUR website!

Rectangles/294407: the width of a rectangle is half as long as the length. the rectangle has an area of 128square feet. what are length and width of the rectangle? i just dont understand the question can u please help! 1 solutions Answer 212319 by Fombitz(13828)   on 2010-04-20 16:26:45 (Show Source): You can put this solution on YOUR website! Let L be the length and W be the width. "the width of a rectangle is half as long as the length" "the rectangle has an area of 128square feet" but from above Substitute, Then The rectangle is 8' x 16'.

Pythagorean-theorem/294425: A 30- 60- 90 triangle has its longer leg of length 7.8. What is the length of the shorter of the two legs? If necessary, round your answer to two decimal places. 1 solutions Answer 212316 by Fombitz(13828)   on 2010-04-20 16:24:00 (Show Source): You can put this solution on YOUR website! From trigonometry, where y is the shorter leg. THe other leg is

Age_Word_Problems/294415: Bill is one year less than twice as old as his sister Caroline. The total of their ages is 26. How old is Bill? 1 solutions Answer 212314 by Fombitz(13828)   on 2010-04-20 16:19:26 (Show Source): You can put this solution on YOUR website! Let B be Bill's age, C be Caroline's age. 1. 2. Substitute eq. 1 into eq. 2 and solve for C. Then from eq.1, Bill is 17 and his sister is 9.

Average/294484: Mark's average (arithmetic mean) on four tests is 75. What grade does he need on his fifth test to raise his average to an 80? I need help on this question from an online assignment, and it ends tonight so please hurry to answer this Thank you 1 solutions Answer 212313 by Fombitz(13828)   on 2010-04-20 16:17:15 (Show Source): You can put this solution on YOUR website! 1. 2. where J,K,L,M are the grades from the first 4 tests, N is the next test grade. From eq.1, Use that in eq.2, He needs to get 100 on his next test.

logarithm/294485: ln4+5lnx as a single logarithm 1 solutions Answer 212312 by Fombitz(13828)   on 2010-04-20 16:14:17 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/294422: I need to simplify by removing factors of 1 for the following: m^2-1/(m+1)^2 1 solutions Answer 212310 by Fombitz(13828)   on 2010-04-20 16:11:58 (Show Source): You can put this solution on YOUR website! You can factor the numerator, So then

Surface-area/294470: 1. the floor of a room that is 12 feet wide and 15 feet long will be covered with tiles that are 1 foot square. How many tiles are needed? 1 solutions Answer 212309 by Fombitz(13828)   on 2010-04-20 16:09:21 (Show Source): You can put this solution on YOUR website! The area of a rectangle is There is an area of 180 sq. feet. Each tile takes up 1 square foot. So you need, 180 tiles to tile the 12x15 floor.

Travel_Word_Problems/294480: IF A CAR TRAVELS AT 55 MILES PER HOUR HOW MUCH IS THAT IN METERS? 1 solutions Answer 212307 by Fombitz(13828)   on 2010-04-20 16:07:13 (Show Source): You can put this solution on YOUR website! Check your units, they have to be consistent. If you're going from miles/hours, you have to keep units of length/time. So then it's either meters/sec or meters/hour. . . . 55 miles/hour*(1609 m/mile)=88495 meters/hour.

Graphs/294464: describe how to graph the line 4x+5y=20. use any method 1 solutions Answer 212302 by Fombitz(13828)   on 2010-04-20 15:35:51 (Show Source): You can put this solution on YOUR website! Fastest way is to find the intercepts. To find the x-intercept, set y=0 and solve for x. (5,0) To find the y-intercept, set x=0 and solve for y. (0,4) Plot those two points and connect them.