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# Recent problems solved by 'Fombitz'

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 Number-Line/350025: how to write that 4 is less than 1 in a number line1 solutions Answer 250248 by Fombitz(13828)   on 2010-09-30 10:17:39 (Show Source): You can put this solution on YOUR website!You can't write it on a number line. Anyways, 4 is not less than 1. 4 is greater than 1 as shown on the number line. Values to the left of a number are smaller than the number on a number line.
 Coordinate-system/350008: The profit earned from manufacturing x widgets is .0001x^3 - .21x^2 + 135x - 2000 dollars. Other contraints dictate that at least 200 widegets but no more than 950 widgets be manufactured. Use your graphing calculator to determine how many widgets should be produced to earn the maximum profit.1 solutions Answer 250246 by Fombitz(13828)   on 2010-09-30 10:12:18 (Show Source): You can put this solution on YOUR website! . . . This function has a local maxima of when
 decimal-numbers/350009: Round each number to the stated place value 14. 16.3521 tenths 15. 1.999 tenths1 solutions Answer 250245 by Fombitz(13828)   on 2010-09-30 10:06:56 (Show Source): You can put this solution on YOUR website!16.3521 =16.4 1.999=2.0
 Quadratic_Equations/350129: simplify your answer: 18th root of (-8)^18 i believe the answer would be 8 and -8 due to taking the 18th root of -8^18 1 solutions Answer 250244 by Fombitz(13828)   on 2010-09-30 10:06:01 (Show Source): You can put this solution on YOUR website!Yes, that's correct. and .
 Points-lines-and-rays/350092: Find the equation of the line joining the points (─7, 6, ─ 3) and (7, ─ 6, 3). 1 solutions Answer 250243 by Fombitz(13828)   on 2010-09-30 10:05:03 (Show Source): You can put this solution on YOUR website!Using the two sets of points and the parameter t (t=1), Solve each in terms of t. The equation of the line is then,
 Quadratic_Equations/350127: (h^4)/(h^16) divide and simplify I divided the 16th exponent by 4 getting four so would the answer b H^4? 1 solutions Answer 250241 by Fombitz(13828)   on 2010-09-30 09:58:28 (Show Source): You can put this solution on YOUR website!No, the law of exponents for division with same base is to subtract exponents.
 test/350019: Please help me solve this equation: Find a vertical line x=a that bisects the region bounded by the curve , the x-axis and between x=1 and x=8.1 solutions Answer 250239 by Fombitz(13828)   on 2010-09-30 09:56:47 (Show Source): You can put this solution on YOUR website!I think you mean bisect the area generated by the curve and the x-axis? . . . . .
 Coordinate-system/350012: For the function f(x) = x2 + 5x - 5, find and simplify the difference quotient (f(x)-f(1))/(x-1)1 solutions Answer 250237 by Fombitz(13828)   on 2010-09-30 09:50:07 (Show Source): You can put this solution on YOUR website! . . . .
 Quadratic_Equations/350123: i started this question however am unsure if it is correct question: √((a+4)²) since we are looking for the square root of (a+4)^2 i would think that the answer is just a+4 because squaring it would be a^2+4^2 and the square root of that would be a+4 1 solutions Answer 250235 by Fombitz(13828)   on 2010-09-30 09:46:51 (Show Source): You can put this solution on YOUR website!First, does not equal . Using the FOIL method, There is a cross product term. As an example, If we did it like you showed, which is clearly incorrect. . . . The answer is but that may not be the complete answer because is also an answer since
 Quadratic_Equations/350124: factor completley t^3-6t^2-27t or determine if not able to be factored. 1 solutions Answer 250234 by Fombitz(13828)   on 2010-09-30 09:40:00 (Show Source):
 Geometry_Word_Problems/350112: If the area of a right triangle is 24 square inches and the hypotenuse is 12 inches, find the lengths of the legs of the triagle.1 solutions Answer 250233 by Fombitz(13828)   on 2010-09-30 09:38:56 (Show Source): You can put this solution on YOUR website!Let x and y be the legs of the triangle. 1. . . . 2. Find the intersection points between these two functions. . . . . . . From eq. 1, Substitute into eq. 2, or approximately, and with corresponding y values of and
 Probability-and-statistics/350116: A bag contains 4 blue marbles, 3 red marbles, 2 green marbles and a white marble. You reach in and randomly pick one marble, set it aside, and then randomly pick a second marble. What is the probability of picking two blue marbles?1 solutions Answer 250223 by Fombitz(13828)   on 2010-09-30 09:10:04 (Show Source): You can put this solution on YOUR website!4 blue marbles 3 red marbles 2 green marbles 1 white marble 10 total . . . To choose the 1st blue marble, To choose the 2nd blue marble, The probability of choosing both is,
 Graphs/350111: Graph the equation and idenify the y intercept. y=4x-3 I have unterstood for the most part i just am not understanding how they are getting the points for the variable x1 solutions Answer 250221 by Fombitz(13828)   on 2010-09-30 09:04:23 (Show Source): You can put this solution on YOUR website! values are values you choose. That's the independent variable. Then once you choose that, the value of is determined, it's the dependent variable (dependent on your choice of ). The y-intercept is the value of when . It's the value of the function when it crosses the y-axis. (0,-3) . . . Choose any other value and calculate . Then you'll have two points and you can draw your line. How about ? Again, doesn't matter, it's your choice. (2,5) . . . Now plot the points and connect them with a line. . . .
 Probability-and-statistics/350110: If the probability of a student graduating from college with a 4.0 GPA is 0.008, what is the probability of a student graduating from college with less than a 4.0 GPA?1 solutions Answer 250220 by Fombitz(13828)   on 2010-09-30 09:00:43 (Show Source): You can put this solution on YOUR website!Assuming that 4.0 is the highest GPA, then all other scores must be less than 4.0. P(not 4.0)+P(4.0)=1 P(not 4.0)=1-P(4.0) P(not 4.0)=1-0.008 P(not 4.0)=0.992
 test/350018: Please help me solve this equation: Sketch the regions enclosed by the given curves and then find the area of the regions. a. and b. and c. and 1 solutions Answer 250218 by Fombitz(13828)   on 2010-09-30 08:58:36 (Show Source): You can put this solution on YOUR website! Find the intersection point between and So then the area would be, Expand the terms, integrate, and simplify to get the final answer. . . . Same procedure. Find the two intersection points and by solving, Proceed as above integrating from one intersection point to the other. . . . I'm not sure if the first function is or If it's , then the integration is straightforward since Integrating that over to would give you If it's , then find the intersection point again where, Then you have to modify the area because at this point the functions cross.
 Equations/350031: x = {(a1 * b1) + (a2 * b2)} / (a1 * a2) How to express a2 in algebraic term?1 solutions Answer 250214 by Fombitz(13828)   on 2010-09-30 08:41:31 (Show Source): You can put this solution on YOUR website! . . . . . . . .
 absolute-value/350016: |2x-1|+1>61 solutions Answer 250212 by Fombitz(13828)   on 2010-09-30 08:38:33 (Show Source): You can put this solution on YOUR website! and and and and . . . (,)U(,) . . . Graphical verification: Look for regions where the red line is above the green line. . .
 Exponents/350017: (3m^-1n^4)^-2 (2m^3n^-5)^41 solutions Answer 250210 by Fombitz(13828)   on 2010-09-30 08:33:53 (Show Source): You can put this solution on YOUR website! . . . . . . . .
 test/350079: Please help me solve this equation: Determine the sum for the following series: (a) 100+10+1+... (b) 27-9+3-1+...1 solutions Answer 250209 by Fombitz(13828)   on 2010-09-30 08:28:48 (Show Source): You can put this solution on YOUR website!(a) 100+10+1+0.1+0.01+...=111.11111, repeating repeating. Multiply both sides by 1000. . . . (b)27-9+3-1+...=
 Exponents/350086: p2*p5*p/p61 solutions Answer 250205 by Fombitz(13828)   on 2010-09-30 08:03:26 (Show Source):
 Matrices-and-determiminant/350085: suppose A is a 2 x 2 matrix as follows A = [56 34] how do i decide whether A is invertible? and if it is find A^-11 solutions Answer 250204 by Fombitz(13828)   on 2010-09-30 08:02:34 (Show Source): You can put this solution on YOUR website!A 2x2 matrix needs 4 elements. You only have 2 elements. Please repost.
 Graphs/350095: What is 6(x-2)-2(x+3)>0? I need answer and graph please.1 solutions Answer 250203 by Fombitz(13828)   on 2010-09-30 08:01:32 (Show Source):
 Probability-and-statistics/350096: If a fair die is tossed one time, find the probability of getting a number less than 3 or an odd number. thank-you1 solutions Answer 250202 by Fombitz(13828)   on 2010-09-30 08:00:16 (Show Source): You can put this solution on YOUR website!P(1)= P(2)= P(odd)= P(<3 or odd)= is subtracted since the value of is counted twice, once as an odd and once as a value less than .
 Probability-and-statistics/350098: If the odds in favor of your winning a bet are 3 to 8, what are the odds against winning the bet?1 solutions Answer 250201 by Fombitz(13828)   on 2010-09-30 07:57:24 (Show Source): You can put this solution on YOUR website!Odds for winning are given as outcomes for winning to outcomes against winning. So the odds against winning would be the reverse or 8 to 3.
 Functions/349941: A function is given below. Determine the average rate of change of the function between x = -5 and x = -1. h(x) = x 2 + 8x 1 solutions Answer 250158 by Fombitz(13828)   on 2010-09-29 23:42:06 (Show Source): You can put this solution on YOUR website! . . . . . .
 Exponents-negative-and-fractional/349958: 1 solutions Answer 250156 by Fombitz(13828)   on 2010-09-29 23:38:02 (Show Source):
 Polynomials-and-rational-expressions/349988: The question said perform the indicated operation and simplify: 6x+9/3x-15 * x-5/4x+6 1 solutions Answer 250155 by Fombitz(13828)   on 2010-09-29 23:37:16 (Show Source):
 Exponents-negative-and-fractional/349997: 4 to negatice 3 power1 solutions Answer 250151 by Fombitz(13828)   on 2010-09-29 23:33:45 (Show Source):