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Recent problems solved by 'kkasko'

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 logarithm/598898: Evaluate f(x)=e^x for given x values: (a) x=2, f(x)= (b) x=-2, f(x)= (c) x+3.5, f(x)= (d) x=5/3, f(x)= (Round to 4 decimals)1 solutions Answer 378716 by kkasko(46)   on 2012-04-14 16:27:49 (Show Source): You can put this solution on YOUR website!Evaluate f(x)=e^x for given x values: press 2nd/ on the calculator to get e then press ^2=7.3891 (a) x=2, f(x)=7.3891 (b) x=-2, f(x)=.1353 (c) x+3.5, f(x)=x+3.5=0 x=-3.5 e^-3.5=.0302 (d) x=5/3, f(x)=5.2945 (Round to 4 decimals)
 Quadratic_Equations/560369: please solve this equation 64k^2+112k+49=0, thank you1 solutions Answer 363905 by kkasko(46)   on 2012-01-21 20:00:49 (Show Source): You can put this solution on YOUR website!please solve this equation 64k^2+112k+49=0, thank you Plug into the quadratic formula Simplify -112/128 by dividing the numerator -112 and denominator 128 by 16 Since the discriminant is zero. The equation will have 2 equal roots. Where only one root shows. k=-.875 Math Fract =-7/8 k=-7/8 k=-7/8
 Expressions-with-variables/560403: 6(x-2)=8(2x+3)1 solutions Answer 363892 by kkasko(46)   on 2012-01-21 19:37:02 (Show Source): You can put this solution on YOUR website!6(x-2)=8(2x+3) Step 1:multiply what is out of the brackets by what is in the brackets. 6(x-2)=8(2x+3) 6x-12=16x+24 Step 2: get x one one side and the integers on the other by doing the inverse of the interger or the variable. 6x-12=16x+24 -6x -24. -6x. -24 -12-24=16x-6x Step: 3 subtract -12-24=-36 and 16x-6x =10x Step 4: isolate the variable by dividing by the integer for instance 10 in this case -36=10x /10./10 x=-3.6
 Linear-systems/560397: 3x+5=x+151 solutions Answer 363864 by kkasko(46)   on 2012-01-21 16:00:22 (Show Source): You can put this solution on YOUR website!3x+5=x+15 move the x values and the numbers to opposite sides. by subtracting x on both sides of the equation Step 2: subract the x values Step 3: subtract the numbers Step 4: Divide 3x+5=x+15-5 -x-5 -x 3x-x=15-5 2x=10 /2 /2 x=5
 Sequences-and-series/560377: what is the next number in the arithmetic sequence 3, 11, 19, 291 solutions Answer 363863 by kkasko(46)   on 2012-01-21 15:50:44 (Show Source): You can put this solution on YOUR website!what is the next number in the arithmetic sequence 3, 11, 19, 29... Are you sure the 29 is not supposed to be 27? 3+8=11+8=19+8=27 To solve you should first find the common difference. d=t4-t3 d=27-19 d=8 plug it into the formula tn=t1+(n-1)d t5=3+(5-1)8 t5=3+4(8) t5=3+32 t5=32 3,11,19,27,32...
 expressions/560365: 2(x+2y)-(x+3y)1 solutions Answer 363861 by kkasko(46)   on 2012-01-21 15:32:46 (Show Source): You can put this solution on YOUR website!2(x+2y)-(x+3y) 2x+4y-x-3y x-y
 Quadratic_Equations/560000: what is the table of values for the following equation 12x + -2y = -341 solutions Answer 363647 by kkasko(46)   on 2012-01-20 13:07:31 (Show Source): You can put this solution on YOUR website!what is the table of values for the following equation 12x + -2y = -34? Step 1: Solve for y 12x+-2y=-34 -12x -12x -2y=-12x-34 /-2 /-2 /-2 y=6x+17 step 2: Create a chart x|y put possible x values such as 0,1,2,3,4,5,6... in for x for instance y=6(0)+17 y=0+17 y=17 y=6(1)+17 y=6+17 y=23 y=6(2)+17 y=12+17 y=29 x|y 0|17 1|23 2|29 3|35 4|41 5|47 6|53
 Linear_Algebra/558769: -4x+4y=12 solve for y1 solutions Answer 363175 by kkasko(46)   on 2012-01-17 22:26:10 (Show Source): You can put this solution on YOUR website!-4x+4y=12 solve for y +4x. +4x 4y=4x+12 /4. /4. /4 y=x+3
 Quadratic_Equations/558776: My example for the class to solve with an exact answer. x^2 + 2x - 81 solutions Answer 363172 by kkasko(46)   on 2012-01-17 22:21:10 (Show Source): You can put this solution on YOUR website!My example for the class to solve with an exact answer. x^2 + 2x - 8. _+_=2 _x_=-8 x^2+4x-2x-8 x(x+4)-2(x+4) (x-2)(x+4) x-2=0 x+4 x=2. x=-4
 Expressions-with-variables/558779: I cannot figure this out at all! I have tried and tried. Please help! Thanks!! When a number is decreased by 20% of itself the result is 32. What is the number???1 solutions Answer 363166 by kkasko(46)   on 2012-01-17 22:13:12 (Show Source):
 Graphs/557727: find the slope of y=+5-71 solutions Answer 362744 by kkasko(46)   on 2012-01-15 22:52:47 (Show Source): You can put this solution on YOUR website!Do u mean y=5x-7 The slope is 5
 Money_Word_Problems/556680: an item is \$55 with a 20% discount and 5% sales tax,what is the total cost1 solutions Answer 362210 by kkasko(46)   on 2012-01-12 21:28:04 (Show Source): You can put this solution on YOUR website!an item is \$55 with a 20% discount and 5% sales tax,what is the total cost \$55x0.20=11 \$55-\$11=44x0.05=\$2.20 \$44+\$2.20=\$46.20
 Expressions-with-variables/556670: x+y=11 x-y=71 solutions Answer 362205 by kkasko(46)   on 2012-01-12 21:21:03 (Show Source): You can put this solution on YOUR website!Step 1: Isolate for variable y x+y=11 -x. -x y=-x+11 x-y=7 -x. -x -y=-x+7 Cannot have a -1 so divide by -1 y=-x/-1+7/-1 y=x-7 Step 2: draw a x and y axis Plot the first equation at (0,11) and go down 1 right one till you have gone as far right as possible. Then from (0,11) go up 1 left 1 and go as far left as possible. Plot the second equation at (0,-7) go up 1 right one until you have gone as far right as possible. Then from the point (0,-7) go down one left one until you have gone as far left as possible. Step 3: the points should now connect at (9,2)
 Linear-systems/555497: I need to name the slope and name one point on the line that each point-slope equation represents. This is the problem: y = 3+4(x-5)1 solutions Answer 361794 by kkasko(46)   on 2012-01-10 21:24:25 (Show Source): You can put this solution on YOUR website!I need to name the slope and name one point on the line that each point-slope equation represents. This is the problem: y = 3+4(x-5) Y=3+4(x-5) Y=3+4x-20 Y=4/1x-17 Slope= 4/1x or 4x and the point on the line or b that each equation represents is (0,-17)
 Linear-systems/555475: 4x+3y=33 6x+y=251 solutions Answer 361790 by kkasko(46)   on 2012-01-10 21:15:41 (Show Source): You can put this solution on YOUR website!4x+3y=33 6x+y=25 4x+3y=33 -4x. -4x 3y=-4x+33 /3. /3. /3 Y=-4/3x+11 6x+y=25 -6x. -6x y=-6x+25 You can now create a graph by the starting y intercepts and the slope of each line. For instance the first equation starts at (0,11) and goes down 4 right 3. Then once you have gone to the edge of the graphing paper. Start again at (0,11) and go down 4 left 3. The second equation starts at (0,25) and has a slope of -6/1 which means it goes down 6 and right one. Then after goes as far right as possible. The two lines should connect at (3,7). This is the solution to the problem.
 Linear-equations/555040: What is the answer in x+y-6=0 of y =mx+b1 solutions Answer 361703 by kkasko(46)   on 2012-01-10 16:17:24 (Show Source): You can put this solution on YOUR website!What is the answer in x+y-6=0 if =mx+b X+y-6=0 -x. +6 Y=-x+6
 Expressions-with-variables/555235: how do u solve y=5x-10 y=3x+81 solutions Answer 361699 by kkasko(46)   on 2012-01-10 16:05:40 (Show Source): You can put this solution on YOUR website!how do u solve y=5x-10 y=3x+8 This is solved by graphing as it is already in y=mx+b form. The point you should start at for the first equation is (0,-10) which is on the y-axis and from that point go up 5 and right 1. And then from (0,-10) go down 5 and left 1. The point you should start at for the second equation is (0,8) also on the y axis from that point go up 3 and right 1. Then from that point you should go down 3 and left 1. The points should now connect and that is your solution. You could also do this problem with a graphing calculator by putting both equations into y=. Equation one in Y1 and equation 2 in Y 2. Then enter correct window settings which are { -10,10,1,-60,40,1,1}. Or you could press zoom fit which shows where they intersect on the screen. And changes the window settings. It's still good to know how to change window settings manually though. As zoom fit does not show an accurate graph. Then press 2nd calc. Intersect. Enter, enter, enter. The equations intersect at (9,35)
 Equations/555224: -7x-3y=21 step by step 1 solutions Answer 361694 by kkasko(46)   on 2012-01-10 15:52:21 (Show Source): You can put this solution on YOUR website! -7x-3y=21 step by step +7x. +7x -3y=7x+21 /-3. /-3 /-3 y= -7/3x-7 Draw a x and y axis Plot (0,-7) , from that point go down 7 and right 3.
 Expressions-with-variables/555081: For the following system, use the second equation to make a substitution for x in the first equation. 3x + 2y = 7 x - y + 3 = 0 What is the resulting equation? 1 solutions Answer 361637 by kkasko(46)   on 2012-01-10 10:28:08 (Show Source): You can put this solution on YOUR website!For the following system, use the second equation to make a substitution for x in the first equation. 3x + 2y = 7 x - y + 3 = 0 What is the resulting equation? x-y+3=0 +y-3. +y-3 X=y-3 3x+2y=7 3(y-3)+2y=7 3y-9+2y=7 5y-9=7
 Equations/555096: 4n + 3 = 5(2 – 2n)1 solutions Answer 361636 by kkasko(46)   on 2012-01-10 10:20:10 (Show Source): You can put this solution on YOUR website!4n + 3 = 5(2 – 2n) 4n+3=10-10n move -10 to the left side and move 3 to the right side by doing the opposite 4n+3=10-10n +10n -3. -3. 14n=7 /14. /14 n=7/14 Reduce 7/14=1/2 n=1/2
 Expressions-with-variables/555082: Based on the lesson, which of the following would be the best approach for solving this system by substitution? 5x = y + 6 2x - 3y = 4 1 solutions Answer 361633 by kkasko(46)   on 2012-01-10 10:11:26 (Show Source): You can put this solution on YOUR website!Based on the lesson, which of the following would be the best approach for solving this system by substitution? 5x = y + 6 2x - 3y = 4 Isolating the x value from the 5 by dividing it like this 5x=y+6 /5. /5. /5 x=1/5y+6/5 2x-3y=4 2(1/5y+6/5)-3y=4 2/5y+12/5-3y=4 Now collect like terms -3y+2/5y -13/5y+12/5=4 -12/5. -12/5 -13/5y=8/5 Isolate the y -13/5y=8/5 /(-13/5). /(-13/5) y=-.6153846151. However we need to convert this into a fraction to get x so Math Fract Y=-8/13 Now substitute it into the original equation 2x-3y=4 2x-3(-8/13)=4 Again can't have a decimal so math Fract 2x+24/13=4 Isolate 2x from -24/13 by adding 24/13 to 4 2x+24/13=4 -24/13. -24/13 Again math Fract 2x=28/13 Divide by 2 2x=(28/13) /2. /2 Math Fract x=14/13 CHECK 2x-3y=4 2(14/13)-3(-8/13)=4 4=4 Left hand side = Right hand side Solution=(14/13,-8/13)