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# Recent problems solved by 'Nate'

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 Numbers_Word_Problems/40794: One number is 8 less than another number. Their sum is 80. Find the numbers.1 solutions Answer 26188 by Nate(3500)   on 2006-06-05 12:12:34 (Show Source): You can put this solution on YOUR website! one number } another number Plug .... The numbers are: and
 Inequalities/40796: This question is from textbook intermediate algebra Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x – 4y = 9 and passing through (-2, -1).1 solutions Answer 26187 by Nate(3500)   on 2006-06-05 12:10:37 (Show Source): You can put this solution on YOUR website!3x - 4y = 9 -4y = -3x + 9 y = (3/4)x - (9/4) The slope is (3/4). We want perpendicular, so we take the opposite of the recipricol to get (-4/3). Use point-slope form:
 Miscellaneous_Word_Problems/40628: please help use the remainder theorem and the factor theorem to determine whether (y-3) is a factor of 1 solutions Answer 26142 by Nate(3500)   on 2006-06-04 22:54:43 (Show Source): You can put this solution on YOUR website!_(3)_|_(4)_|_(0)_|_(2)_|_(0)_|_(-4)_ ______(4)__(12)__(38)__(114)__(338) (y - 3) is not a factor!
 Miscellaneous_Word_Problems/40629: please help use the remainder theorem and the factor theorem to determin whether (b+4) is a factor of 1 solutions Answer 26141 by Nate(3500)   on 2006-06-04 22:50:21 (Show Source): You can put this solution on YOUR website!_(-4)_|_(1)_|_(3)_|_(-1)_|_(12)_ _______1____-1____3_____0__ (x + 4) is a factor!
 Functions/40756: Functions: p(x)=-3x^2+4x+26 g(x)=x^3+5x-18 1. What is the range? 2. Does the function have an absolute maximum or minimum?1 solutions Answer 26138 by Nate(3500)   on 2006-06-04 21:55:44 (Show Source): You can put this solution on YOUR website!p(x)= -3x^2 + 4x + 26 The vertex is: ((2/3),(82/3)) and the parabola opens downward Range: {y|} g(x)= x^3 + 5x - 18 Range: {y|all reals}
 Polynomials-and-rational-expressions/40755: This question is from textbook (x^2-x-4)^(3/4)-2=61 solutions Answer 26135 by Nate(3500)   on 2006-06-04 21:48:14 (Show Source): You can put this solution on YOUR website! and
 Inequalities/40732: Question: Let a < b. Show that (a+b)/2 is the midpoint between a and b on the number line. I think that you use the metric way to slove this but I am not sure as to how to do that. Thanks Julie 1 solutions Answer 26128 by Nate(3500)   on 2006-06-04 20:29:36 (Show Source): You can put this solution on YOUR website!The mean or average tells you to add up numbers and divide the sum by the amount of numbers to get the midpoint. is just a limitation to the available points to pick, but the average property tells you that is the way to find the midpoint. Example: <-----(-1)-----(0)-----(1)-----> (a + b)/2 = M (-1 + 1)/2 = M (0)/2 = M = 0
 Pythagorean-theorem/40739: Find the distance between each pair of points. (-3, 0) and (4, 0) 1 solutions Answer 26127 by Nate(3500)   on 2006-06-04 20:25:58 (Show Source):
 Polynomials-and-rational-expressions/40750: factory the following polynomial completely 14x ^2 - 20x + 61 solutions Answer 26125 by Nate(3500)   on 2006-06-04 20:24:07 (Show Source):
Polynomials-and-rational-expressions/40742: What is the answer to 6x^2+7x-20=0
1 solutions

Answer 26124 by Nate(3500)   on 2006-06-04 20:21:15 (Show Source):
You can put this solution on YOUR website!

or
or
 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=529 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1.33333333333333, -2.5. Here's your graph:

Average/40748: 15x=(x+4)(2x-6)
1 solutions

Answer 26123 by Nate(3500)   on 2006-06-04 20:14:55 (Show Source):
You can put this solution on YOUR website!

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=361 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 8, -1.5. Here's your graph:

 Linear-systems/40703: Line 2 is perpendicular to a line that passes through the points (4,-3) and (-2,6). How do I find the slope intercept (y=mx+b) and the general form (Ax+By=C)? 1 solutions Answer 26093 by Nate(3500)   on 2006-06-04 17:22:56 (Show Source): You can put this solution on YOUR website!Slope = (y2 - y1)/(x2 - x1) = (6 + 3)/(-2 - 4) = 9/(-6) = 3/(-2) Perpendicular to this slope, so it is: You are missing the information that tells us what point or points the new line goes through. Does it go through of the points you gave for the other line?
 Linear-systems/40702: Line 6 passes through the intersection of Line 4 and Line 5 and has a slope of 2/3. Line 4 is horizontal and passes through the point (0,9). Line 5 is vertical and passes through the point (6,-3). I need to figure out the equation for Line 6. 1 solutions Answer 26092 by Nate(3500)   on 2006-06-04 17:19:02 (Show Source): You can put this solution on YOUR website!Line-4 has all x-values as nine .... Line-5 has all y-values at six .... Point of intersection: (6,9) Use slope-intercept form: so ....
 Equations/40641: 8 + 1/x ________ 4 - 1/x 1 solutions Answer 26090 by Nate(3500)   on 2006-06-04 17:15:22 (Show Source):
 Miscellaneous_Word_Problems/40699: A chemist22 has 300 mililites of solution that is 18% acid. How many mililiters of acid are in the solution? 1 solutions Answer 26088 by Nate(3500)   on 2006-06-04 17:13:28 (Show Source): You can put this solution on YOUR website! Plug .... 300 - x 300 - 246 = 54 54 mililiters are acid
 Money_Word_Problems/40701: 20) paul invested 5,000 in a time depsoit.what interest will he earn for 1 year if the interest rate is 6.5%1 solutions Answer 26086 by Nate(3500)   on 2006-06-04 17:11:04 (Show Source): You can put this solution on YOUR website!I = PRT I = 5000*0.065*1 I = 325
 Quadratic_Equations/40697: . Solve quadratic equation by completing the square. 4x2 + 8x + 1 = 0 1 solutions Answer 26085 by Nate(3500)   on 2006-06-04 17:10:13 (Show Source):
 Money_Word_Problems/40698: 2.6 26 Mr. jordan has ben a given of 2,500 for 1 year. If the interest charged is 275, what is the interest rate on the loan?1 solutions Answer 26083 by Nate(3500)   on 2006-06-04 17:08:05 (Show Source): You can put this solution on YOUR website!I = PRT 275 = 2500*R 0.11 = R or 11%
 Quadratic_Equations/40696: (2 x + 2)^2 = 641 solutions Answer 26082 by Nate(3500)   on 2006-06-04 17:05:00 (Show Source): You can put this solution on YOUR website! or or or
 Inequalities/40695: 48 ≥ 4x(x-1)1 solutions Answer 26081 by Nate(3500)   on 2006-06-04 17:03:27 (Show Source): You can put this solution on YOUR website! <------[-3]=========[4]------>
Miscellaneous_Word_Problems/34252: The distance d, in feet, a bomb falls in t seconds is given by
How many seconds are required for a bomb released at 21,000 feet to reach its target? (If necessary, round your answer to two decimal places.)

A) 1167.12 seconds

B) 185.76 seconds

C) 92.88 seconds

D) 2972.19 seconds

1 solutions

Answer 26079 by Nate(3500)   on 2006-06-04 16:59:49 (Show Source):
You can put this solution on YOUR website!

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=183225 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 92.8809868145612, -14.1309868145612. Here's your graph:

(C)

 Money_Word_Problems/40693: 2.6 52) The electricity costs of a business decreased from 12,000 one year to 10,920 the next. what is the rate of decrease?1 solutions Answer 26077 by Nate(3500)   on 2006-06-04 16:55:13 (Show Source): You can put this solution on YOUR website!(change of cost)/(change of time) (12000 - 10920)/(0 - 1) -1080/1
 Graphs/40660: graph the solution set 3x>2x-4 <-------------------> 1 solutions Answer 26076 by Nate(3500)   on 2006-06-04 16:53:13 (Show Source): You can put this solution on YOUR website! <----( -4 )=====> Not equal to .
 Polynomials-and-rational-expressions/40662: This question is from textbook A jogger covers 3.5 miles in 28 minutes. Find the average speed of the jogger in miles per hour.1 solutions Answer 26075 by Nate(3500)   on 2006-06-04 16:50:56 (Show Source): You can put this solution on YOUR website!3.5/28 (miles/minute) 35/280 (miles/minute) * 60 7.5 (miles/hour)
 Rational-functions/40690: graph g(x)= 5/(x+2)(x-1) 1 solutions Answer 26074 by Nate(3500)   on 2006-06-04 16:49:00 (Show Source):
 Rational-functions/40688: graph f(x)= x/x+3 1 solutions Answer 26073 by Nate(3500)   on 2006-06-04 16:48:18 (Show Source):
 Polynomials-and-rational-expressions/40663: This question is from textbook The speed of sound is 1088 feet per second. Convert the speed of sound to miles per hour. Round your answer to the nearest whole number.1 solutions Answer 26072 by Nate(3500)   on 2006-06-04 16:46:21 (Show Source): You can put this solution on YOUR website!1088 (feet/second) * 60 65280 (feet/minute) * 60 3916800 (feet/hour) / 5280 742 (miles/hour)
 Money_Word_Problems/40687: 58) If the total bill at a restaurant including a 15% top, is 65.32 , what was the cost of the meal alone?1 solutions Answer 26070 by Nate(3500)   on 2006-06-04 16:43:02 (Show Source): You can put this solution on YOUR website!Cost of meal: \$56.80
 Volume/40668: Question A solid pyramid of height 40 cm and with a square base of sides 30 cm each is put into a cubical tank of sides 40 cm each. The tank is then filled with water. If the pyramid is removed, find the depth of water in the tank. Please help to solve this question. Thank you very much.1 solutions Answer 26069 by Nate(3500)   on 2006-06-04 16:41:21 (Show Source): You can put this solution on YOUR website!(Volume of Cube) - (Volume of Pyramid) = (Volume of Water) (lwh) - ((w^2)h(1/3)) = V (40*40*40) - ((30^2)40(1/3)) = V (64000) - (12000) = V 52000 = V
 Surface-area/40669: This question is not from a text book. Therefore, I don't have anything to provide. Please solve this in a step-by-step format: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs. 1 solutions Answer 26067 by Nate(3500)   on 2006-06-04 16:36:31 (Show Source): You can put this solution on YOUR website!Base's side length: b Leg's side length: 4b - 8 side + side + side = perimeter b + (4b - 8) + (4b - 8) = 29 9b - 16 = 29 9b = 45 b = 5 Leg's side length: 4b - 8 4(5) - 8 20 - 8 12 Side's lengths: 5,12,12
 Exponents/40644: 56. help-- A bus leave a station at 1 p.m. , traveling west an average rate of 44 mi/h. One hour later a second bus leaves the same station,traveling each at a rate of 58 mi/h.At what time will the two buses be 274 mi apart?1 solutions Answer 26064 by Nate(3500)   on 2006-06-04 16:31:25 (Show Source): You can put this solution on YOUR website!First bus: y = 44x + 44 Second bus: q = 58x Combine: q - y = 274 58x - (44x + 44) = 274 58x - 44x - 44 = 274 14x = 318 x = 159/7 or about 22.7 hours 22 hours and 42 minutes; means 1 hour and 18 minutes from a whole day 11:42 a.m.