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# Recent problems solved by 'Fombitz'

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 Inequalities/359462: find the slope of a line parallel or perpendicular to each given line. 3x+y=0 x=0 1 solutions Answer 256555 by Fombitz(13828)   on 2010-10-21 08:17:39 (Show Source): You can put this solution on YOUR website!Parallel lines have slopes that are identical. Perpendicular line have slopes that are negative reciprocals. . . . Parallel, Perpendicular, . . . Slope is undefined. Parallel, slope is undefined. Perpendicular, .
 Probability-and-statistics/359556: Determine whether each of the distributions given below represents a probability distribution. Justify your answer. x 1 2 3 4 P(x) 1/12 5/12 1/3 1/12 (A) x 3 6 8 P(x) 2/10 .5 1/5 (B) x 20 35 40 50 P(x) 0.4 -0.2 0.5 0.3 (C) 1 solutions Answer 256554 by Fombitz(13828)   on 2010-10-21 08:14:55 (Show Source): You can put this solution on YOUR website!A) No, , must be . B) No, , must be . C) No, for every .
 real-numbers/359557: Can you help me with this problem? find slope if it exists of the line containing the pair of points (-2,-16, (-9, -18) Slope is ??? If I do y2 - y1/x2 - x1 -16 - (-18) / -2 - (-9) = -16 + 18/ -2 +9 = (2, 7) Would the slope of the line be 2? Or (2,7)? Thanks for your help 1 solutions Answer 256553 by Fombitz(13828)   on 2010-10-21 08:11:45 (Show Source): You can put this solution on YOUR website!The slope is just a number, Since slope is change in y over change in x, then when x moves 7 units, y moves 2 units.
 Length-and-distance/359558: From the distance from (-4,-1) to the line defined by y=-2x+1. Express as a radical or a number rounded to the nearest hundredth.1 solutions Answer 256552 by Fombitz(13828)   on 2010-10-21 08:08:42 (Show Source): You can put this solution on YOUR website!1. The closest distance is formed by the line perpendicular to that goes through the point (-4,-1). To find the perpendicular line, use the slope since perpendicular lines have slopes that are negative reciprocals. Now use the point slope form of a line, 2. Now that you have both lines, find the intersection of the two lines. The distance you're after is the distance from point (-4,-1) to the intersection point. Substitute eq. 1 into eq. 2 and solve for . Then from eq. 1, . . . . . Now use the distance formula to find the distance from (-4,-1) to (0,1). or approximately,
 Mixture_Word_Problems/359560: Hi, doing my statistic homework and I need help. The question is you spin a number wheel that has 19 numbers 950 times. The random variable represents the the winning numbers on each spin of the wheel. I don't really get the question and how I'm suppose to do it. 1 solutions Answer 256551 by Fombitz(13828)   on 2010-10-21 07:57:19 (Show Source): You can put this solution on YOUR website!Each number has an equal probability of being chosen. So when you spin 950 times, on average, you would get each number 50 times. Since So the random variable would look like, (,) (,) (,) (,) . . . (,) (,)
 Polynomials-and-rational-expressions/359440: When asked to solve the equation (x + 3)(2x - 1) = 5 a student proceeded as follows: x+3=5 or 2x-1=5 x=2 or x=3 Describe, in your own words, what this student did wrong and what he/she should have done. 1 solutions Answer 256549 by Fombitz(13828)   on 2010-10-21 06:25:59 (Show Source): You can put this solution on YOUR website!That would only work if their product equals 5 simultaneously. So when one factor equals 5, the other equals 1. When , , but , so then the product equals as expected. When , , but , so then the product equals and not as expected.
 Sequences-and-series/359548: Consider the series: 68, 81, x, 113, 132, find the value of x?1 solutions Answer 256547 by Fombitz(13828)   on 2010-10-21 06:22:22 (Show Source): You can put this solution on YOUR website!Look at the first differences, Looks like the second differences vary from each other by 2. So the missing values should be 15 and 17. . . . .
 Systems-of-equations/359427: Discuss whether the statement, (x + y)3 is equivalent to x^3 + y^3, is true or not. Identify a pair of values of x and y for which this statement is true and another pair of values for which it is not true. 1 solutions Answer 256545 by Fombitz(13828)   on 2010-10-21 06:18:40 (Show Source): You can put this solution on YOUR website! . . . when . . . Example, , . . . Counterexample, ,
 logarithm/359524: Solve for x. Please round answer to four decimal places. 2^(4/log base 3 (x)) = 1/256 I have tried to solve for x by 2^4/logbase3 x = 2^-8 and then I am stuck. Please help1 solutions Answer 256543 by Fombitz(13828)   on 2010-10-21 06:12:59 (Show Source): You can put this solution on YOUR website!You're on the right track. . . . . . . . . . .
 Functions/359526: Is this a linear equation, and if so, how can it be written in standard form? x + 1/y = 71 solutions Answer 256542 by Fombitz(13828)   on 2010-10-21 06:09:43 (Show Source): You can put this solution on YOUR website!No, it's a non-linear equation. . . .
 Trigonometry-basics/359529: If sinetheta > 0 and Tantheta < 0,explain how to find the quadrant in which P (theta) lies1 solutions Answer 256541 by Fombitz(13828)   on 2010-10-21 06:07:53 (Show Source): You can put this solution on YOUR website!, QI or QII means , QII or QIII. Taken together, QII
 Square-cubic-other-roots/359541: Hi. I have x as a function of z(below). I need z as a function of x! x=sqrt(z-1)(4z-1)/sqrt(3z-1) I can't seem to figure it out in hand! So i tried to solve it on a ti89, but it only gives me strange answers involving irregular numbers. I also tried to solve it on mathcad, wiyhout any luck. If i insert say 0,3 as z, i get 0,529. Shouldn't i then be able to find a equation for z, where i can insert the 0,529 and get 0,3? Is this possible or what?1 solutions Answer 256539 by Fombitz(13828)   on 2010-10-21 06:05:53 (Show Source): You can put this solution on YOUR website! Use the quadratic formula,
 Equations/359224: The line through (-2,0)with slope 3/4 1 solutions Answer 256386 by Fombitz(13828)   on 2010-10-20 16:28:17 (Show Source): You can put this solution on YOUR website!Use the point slope form of a line , . . .
 Equations/359227: The line through (-2,4)that is perpendicular to the x-axis1 solutions Answer 256385 by Fombitz(13828)   on 2010-10-20 16:26:21 (Show Source): You can put this solution on YOUR website!Lines perpendicular to the x-axis have the form, . . . .
 Linear-equations/359216: write an equation of the line containing the given points 1. A(2,7), B(3,4) 2. P(-1,3), Q(0,4) 3. S(10,2), T(2,-2) 4. D(7,-4), E(-5,2) 1 solutions Answer 256379 by Fombitz(13828)   on 2010-10-20 16:14:32 (Show Source): You can put this solution on YOUR website!Find the slope first. . . Then use the point-slope form of a line with either point, . . . . . . Follow the same procedures for the remaining problems.
 absolute-value/359211: Hello! I'm a ninth grader who needs help with graphing functions with absolute value. For instance, the first problem in my Algebra II/Trigonometry homework is: f(x) = |x| I already understand what a function is, as well as the absolute value, it's just my teacher didn't explain very thoroughly on how to graph them. I'd be very grateful if you were able to give me a step-by-step explanation on how to graph this problem. Thank you so much in advance for voluntarily helping students like me. Sincerely, sunshine27391 solutions Answer 256376 by Fombitz(13828)   on 2010-10-20 16:09:49 (Show Source): You can put this solution on YOUR website! when . . . . . . when . . . . . . Now put those two together, . . . . . . The key is the argument (inside the absolute value brackets). Make sure you understand how to find up the limits. So if the function is, when when when . . when when . .
 Quadratic_Equations/359206: what are the x and y intercepts of the equation x^2+y^2=49 ?1 solutions Answer 256375 by Fombitz(13828)   on 2010-10-20 16:02:17 (Show Source): You can put this solution on YOUR website!To find the x-intercept, set and solve for . (,) and (,) . . . To find the y-intercept, set and solve for . (,) and (,) . . .
 Human-and-algebraic-language/358741: if 4n=3.60 what is the value of n1 solutions Answer 256374 by Fombitz(13828)   on 2010-10-20 15:58:52 (Show Source):
 Quadratic_Equations/359205: find the domain and range of 14x^2-161 solutions Answer 256373 by Fombitz(13828)   on 2010-10-20 15:57:59 (Show Source): You can put this solution on YOUR website!Domain:(,) Range:(,) . . .
 expressions/359204: 4x2 + 3y + 5xy + 10. cut by 3/4 1 solutions Answer 256371 by Fombitz(13828)   on 2010-10-20 15:56:07 (Show Source): You can put this solution on YOUR website!By cut, you mean divide? Dividing by a fraction is equivalent to multiplying by its reciprocal.
 Probability-and-statistics/359201: A sample of 4 different calculators is randomly selected from a group containing 17 that are defective and 36 that have no defects. what is the probability that atleast one of the calculators is defective? 1 solutions Answer 256370 by Fombitz(13828)   on 2010-10-20 15:53:42 (Show Source): You can put this solution on YOUR website!P(good)= P(bad)= . . . P(at least one bad)+P(none bad)=1 P(at least one bad)=1-P(non bad) . . P(none bad)= P(at least one bad)= P(at least one bad)=
 logarithm/358815: 53^(log(x)) = 8 solve for exact answer.1 solutions Answer 256369 by Fombitz(13828)   on 2010-10-20 15:50:22 (Show Source): You can put this solution on YOUR website! . . .
 Equations/358812: equation of m=(1/4), b = (-3/4)1 solutions Answer 256367 by Fombitz(13828)   on 2010-10-20 15:45:28 (Show Source): You can put this solution on YOUR website! . . .
 Equations/358757: How do you find a exponential equation when given a table?1 solutions Answer 256366 by Fombitz(13828)   on 2010-10-20 15:43:47 (Show Source): You can put this solution on YOUR website!You mean fitting data with an exponential function. EXCEL can do that using the chart wizard. You can also do it by hand. Do you have an example??
 Matrices-and-determiminant/358780: Find the dimensions of the matrix. [-1 2 5 0 -5 0 9 7 9 12 8 -1 8 -5 0 6]1 solutions Answer 256365 by Fombitz(13828)   on 2010-10-20 15:42:19 (Show Source): You can put this solution on YOUR website!4 rows x 4 columns 4x4.
 Linear-equations/359196: Use the linear combination to solve the system. X + 3y = 2 -X + 2y = 31 solutions Answer 256363 by Fombitz(13828)   on 2010-10-20 15:40:33 (Show Source): You can put this solution on YOUR website!Add the two equations, Now use either equation to solve for .
 Polynomials-and-rational-expressions/359197: my question is how do you solve for the variable in this problem. 3.7b+7=8.1b-19.4 please show work so I can figure it out thanks1 solutions Answer 256362 by Fombitz(13828)   on 2010-10-20 15:39:27 (Show Source): You can put this solution on YOUR website! Multiply by 10 to get rid of decimals. Now solve for .
 Graphs/358811: use the slope-intercept form to graph the equation y=3/5x-31 solutions Answer 256361 by Fombitz(13828)   on 2010-10-20 15:38:17 (Show Source): You can put this solution on YOUR website!Start with the y-intercept (,). Slope is and represents change in over change in . units change in will give a units change in . . . X: Y: . . (,) is another point on the line. Plot the two points and connect them with a line. . . .
 Quadratic-relations-and-conic-sections/358742: Please help me solve this problem! I have to write the equation in vertex form, find the max/min values and state the domain and range. 1 solutions Answer 256360 by Fombitz(13828)   on 2010-10-20 15:34:25 (Show Source): You can put this solution on YOUR website! Complete the square to get to vertex form, . Since , the parabola opens upwards and the vertex value is a minimum. . . . . . . Domain: (,) Range : (,) . . .
 Geometry_Word_Problems/358738: How do you find area of a square room, if the perimeter of the room is 76 feet?1 solutions Answer 256359 by Fombitz(13828)   on 2010-10-20 15:29:56 (Show Source): You can put this solution on YOUR website!For a square room, the perimeter is, For a square room, the area is, sq.ft.
 test/358838: X/a+bx=c/a1 solutions Answer 256358 by Fombitz(13828)   on 2010-10-20 15:28:19 (Show Source):