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Matrices-and-determiminant/683326: x+y=11
x*y=11
find x,y??
1 solutions

Answer 423541 by Alan3354(31518)   on 2012-11-20 17:10:14 (Show Source):
You can put this solution on YOUR website!
x+y=11 --> y = 11-x
x*y=11
===========
Sub for y in the 2nd eqn
x(11-x) = 11

 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) 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=77 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 9.88748219369606, 1.11251780630394. Here's your graph:

--------------
The 2 solutions are for x & y

 Word_Problems_With_Coins/683367: how many nickels are in 8.00?1 solutions Answer 423539 by Alan3354(31518)   on 2012-11-20 17:06:47 (Show Source): You can put this solution on YOUR website!160
 test/683331: 8x+4y=161 solutions Answer 423530 by Alan3354(31518)   on 2012-11-20 16:35:20 (Show Source): You can put this solution on YOUR website!8x+4y=16 What about it? Do you have a question?
 Age_Word_Problems/683264: This number is 24 times plus 11 bigger than 17 1 solutions Answer 423511 by Alan3354(31518)   on 2012-11-20 15:38:16 (Show Source): You can put this solution on YOUR website!This number is 24 times plus 11 bigger than 17 -------------- Your statement makes no sense.
 Probability-and-statistics/683251: PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the total amount of interest to be paid on a 30 year term on a \$60,000 mortgage to be amortized at 7.5% interest. TTHANK YOU!!!!1 solutions Answer 423510 by Alan3354(31518)   on 2012-11-20 15:37:17 (Show Source): You can put this solution on YOUR website!Find the total amount of interest to be paid on a 30 year term on a \$60,000 mortgage to be amortized at 7.5% interest. --------------- Google amortization
 Geometry_Word_Problems/683328: A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius.1 solutions Answer 423509 by Alan3354(31518)   on 2012-11-20 15:32:00 (Show Source): You can put this solution on YOUR website!A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius. --------------- The largest diameter = side length = 15 cm r = 7.5 cm Vol of cube = 15^3 cc Vol of sphere = cc Wood removed is the difference
 Quadratic_Equations/683306: how do you solve the problem 5m^2=1251 solutions Answer 423506 by Alan3354(31518)   on 2012-11-20 15:28:28 (Show Source): You can put this solution on YOUR website!how do you solve the problem 5m^2=125 Divide by 5 m^2 = 25 m = -5, +5
 logarithm/683329: log_2(x+5) - log_2(x) = 4 and 2^(3x-2)= 3^(2x-1)1 solutions Answer 423503 by Alan3354(31518)   on 2012-11-20 15:26:50 (Show Source): You can put this solution on YOUR website!log_2(x+5) - log_2(x) = 4 I think you mean base 2 x+5 = 16x 15x = 5 x = 1/3 =========== and 2^(3x-2)= 3^(2x-1) (3x-2)*log(2) = (2x-1)*log(3) etc
 Linear-equations/683193: I'm having trouble starting this calculus problem: Find the slope of the tangent line of x^2/3 + y^2/3 = 4 at the point (-1,3sqrt3). Thank you!1 solutions Answer 423491 by Alan3354(31518)   on 2012-11-20 10:49:13 (Show Source): You can put this solution on YOUR website!Find the slope of the tangent line of x^2/3 + y^2/3 = 4 at the point (-1,3sqrt3). ------------- differentiate implicitly 2xdx + 2ydy = 0 dy/dx = -y/x (for all cirlces) ---------- The point is not on the circle, tho.
 Points-lines-and-rays/683184: octagon with each side of 80 steps 1 solutions Answer 423482 by Alan3354(31518)   on 2012-11-20 08:29:41 (Show Source): You can put this solution on YOUR website!octagon with each side of 80 steps ----- What about it?
 Travel_Word_Problems/683178: how is the velocity calculated if the velocity is walking against the wind? 1 solutions Answer 423481 by Alan3354(31518)   on 2012-11-20 08:27:43 (Show Source): You can put this solution on YOUR website!how is the velocity calculated if the velocity is walking against the wind? ------------ Velocity (or speed) is always wrt (with respect to) a frame of reference. The speed wrt the Earth is the most common. Walking against the wind, the speed wrt the wind is the speed wrt to Earth + the windspeed. ==================== Velocity is a vector that spec's speed and direction, tho it's often used when speed should be used.
 Triangles/683093: If the Area of Tringle is A=25 B=112 fine the C=?1 solutions Answer 423470 by Alan3354(31518)   on 2012-11-19 22:53:41 (Show Source): You can put this solution on YOUR website!If the Area of Tringle is A=25 B=112 fine the C=? ------------- I don't know what that means.
 Graphs/683053: At what value of x does the function f(x) = 1 / (1+x^2) change from increasing to decreasing? 1 solutions Answer 423463 by Alan3354(31518)   on 2012-11-19 21:59:28 (Show Source): You can put this solution on YOUR website!At what value of x does the function f(x) = 1 / (1+x^2) change from increasing to decreasing? ------------------- At x = 0
 Linear-equations/683060: I don't know what type of help I need. I am trying to solve the problem - the product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers. I don't know if this is algebra or what it is. I tried timesing 43 by several numbers and I tried dividing 442 but I can't find an answer.1 solutions Answer 423457 by Alan3354(31518)   on 2012-11-19 21:40:49 (Show Source): You can put this solution on YOUR website!I don't know what type of help I need. I am trying to solve the problem - the product of two numbers is 442. The sum of the two numbers is 43. ------------- 442 has only 3 integer factors, 2, 13 & 17 It's either: 2*221 26*17 13*34 ----- only 26 + 17 = 43
 logarithm/683050: Can you please simplify 2+ ? Thank you, so much!1 solutions Answer 423455 by Alan3354(31518)   on 2012-11-19 21:38:03 (Show Source): You can put this solution on YOUR website!Can you please simplify 2+ --------- 2 + 15 = 17
 Equations/683056: find the y-intercept for y= -3(x+2)^2 -41 solutions Answer 423453 by Alan3354(31518)   on 2012-11-19 21:36:19 (Show Source): You can put this solution on YOUR website!find the y-intercept for y= -3(x+2)^2 -4 At the y-intercept, x = 0 y = -3*(2^2) - 4 y = -16
 logarithm/683065: How to find a logarithm of log(16) ?1 solutions Answer 423451 by Alan3354(31518)   on 2012-11-19 21:34:11 (Show Source): You can put this solution on YOUR website!How to find a logarithm of log(16) ? ------------ I would use a calculator. log(16) =~ 1.20412 log(log(16)) =~ 0.08067
 Expressions-with-variables/683024: If 3% of a is the same as 5% of 120, then what is a? Can you please help me with this problem (with the work shown)...I need it quick! Thanks much.1 solutions Answer 423438 by Alan3354(31518)   on 2012-11-19 21:08:17 (Show Source): You can put this solution on YOUR website!If 3% of a is the same as 5% of 120, then what is a? ---------- 0.03a = 0.05*120 = 6 a = 6/0.03 a = 200
 Expressions-with-variables/682926: p/1.2=1.4, p=1.68, how do you get 1.68?1 solutions Answer 423406 by Alan3354(31518)   on 2012-11-19 19:16:28 (Show Source): You can put this solution on YOUR website!1.2*1.4 = 1.68
 Travel_Word_Problems/682953: How do u solve 55 miles per hour to feet per second??1 solutions Answer 423404 by Alan3354(31518)   on 2012-11-19 19:14:53 (Show Source): You can put this solution on YOUR website!How do u solve 55 miles per hour to feet per second?? -------------- It's not solving, it's converting. Use 15 mi/hr = 22 ft/sec You can work that out if you care to. ---- 55*(22/15) = 1210/15 ft/sec = 242/3 ft sec
 Numeric_Fractions/682892: 8/31 solutions Answer 423378 by Alan3354(31518)   on 2012-11-19 18:07:20 (Show Source): You can put this solution on YOUR website!What about it?
 Distributive-associative-commutative-properties/682911: Factor 6x^2+16x-61 solutions Answer 423377 by Alan3354(31518)   on 2012-11-19 18:05:34 (Show Source): You can put this solution on YOUR website!Factor 6x^2+16x-6 -------------- Hint: All the coefficients are even numbers.
 Travel_Word_Problems/682923: Stephanie biked 82 1/2 miles in 6 3/4 hours. How many miles did she travel in 1 hour?1 solutions Answer 423376 by Alan3354(31518)   on 2012-11-19 18:04:04 (Show Source): You can put this solution on YOUR website!Stephanie biked 82 1/2 miles in 6 3/4 hours. How many miles did she travel in 1 hour? ------------- d = r*t r = d/t
 Angles/682915: What is the supplement of a 115 degree angle1 solutions Answer 423374 by Alan3354(31518)   on 2012-11-19 18:03:25 (Show Source): You can put this solution on YOUR website!What is the supplement of a 115 degree angle ------------- Supplementary angles add to 180 degs
 Travel_Word_Problems/682741: If travelling at 2kph, how far will i travel in 36 minutes1 solutions Answer 423315 by Alan3354(31518)   on 2012-11-19 13:48:04 (Show Source): You can put this solution on YOUR website!If travelling at 2kph, how far will i travel in 36 minutes ---------- 36 mins = 0.6 hours d = r*t
 Quadratic_Equations/682722: I answered the equation 9x^2=36 in what i thought was quadratic form but my professor informed me that it was not, i got the answer 2,-2 which was correct.. what are the correct steps to this problem? 1 solutions Answer 423314 by Alan3354(31518)   on 2012-11-19 13:46:13 (Show Source): You can put this solution on YOUR website!I answered the equation 9x^2=36 in what i thought was quadratic form but my professor informed me that it was not, i got the answer 2,-2 which was correct.. what are the correct steps to this problem? ------------- 9x^2 = 36 x^2 = 4 x = -2, +2 --------- Or 9x^2 - 36 = 0 x^2 - 4 = 0 (x-2)*(x+2) = 0 same answer
 Numeric_Fractions/682769: How do I work the problem: 5/2*x + 1/4= 7 3/4 I get the - 1/4 from the 7 3/4 and I get lost at 5/2*x = 7 2/41 solutions Answer 423311 by Alan3354(31518)   on 2012-11-19 13:43:22 (Show Source): You can put this solution on YOUR website!(5/2)x + 1/4= 7 3/4 Step 1, eliminate fractions. Multiply thru by 4 10x + 1 = 31 10x = 30 x = 3
 Travel_Word_Problems/682768: Engel is driving a jet ski at 45mph against the current. Going with the current, it only took 1 hour to get back. How long did it take him, going against the current?.1 solutions Answer 423310 by Alan3354(31518)   on 2012-11-19 13:41:57 (Show Source): You can put this solution on YOUR website!Engel is driving a jet ski at 45mph against the current. Going with the current, it only took 1 hour to get back. How long did it take him, going against the current?. ----------------- Not enough info.
 Exponential-and-logarithmic-functions/682704: How do i solve 4e^2x-5=31 solutions Answer 423290 by Alan3354(31518)   on 2012-11-19 11:43:34 (Show Source): You can put this solution on YOUR website!How do i solve 4e^2x-5=3 is the exponent 2x? or 2x-5?
 Trigonometry-basics/682693: sqrt(3)csc(t)-2=01 solutions Answer 423288 by Alan3354(31518)   on 2012-11-19 11:25:51 (Show Source): You can put this solution on YOUR website!sqrt(3)csc(t)-2=0 ----------- Hint: csc = 1/sin
 logarithm/682678: (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log8.6(113) (b) Give a calculator approximation (correct to four decimal places) . log8.6(113)1 solutions Answer 423283 by Alan3354(31518)   on 2012-11-19 11:09:04 (Show Source): You can put this solution on YOUR website!(a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log8.6(113) (b) Give a calculator approximation (correct to four decimal places) ---------------- --------- =~ 2.197