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 test/693007: The length of a rectangle is 2 and the width is represented by x+4. The area of the rectangle is 40 square units. Solve for x.1 solutions Answer 427204 by jim_thompson5910(28577)   on 2012-12-11 16:49:10 (Show Source): You can put this solution on YOUR website!Hint: solve the equation 2(x+4) = 40 for x
 absolute-value/693006: In 3 hours a car can traveled 180 kilometer . At the same average rate how many kilometer can the car travel in 5 hours 1 solutions Answer 427203 by jim_thompson5910(28577)   on 2012-12-11 16:47:48 (Show Source): You can put this solution on YOUR website!180/3 = x/5 60 = x/5 60*5 = x 300 = x x = 300 So the answer is 300 km.
 Trigonometry-basics/693002: What is the solution for 12-h = -h + 31 solutions Answer 427199 by jim_thompson5910(28577)   on 2012-12-11 16:39:25 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Simplify. Since this equation is NEVER true for any h value, this means that there are NO solutions.
 Polynomials-and-rational-expressions/693001: ax-bx+ay-by1 solutions Answer 427198 by jim_thompson5910(28577)   on 2012-12-11 16:38:46 (Show Source): You can put this solution on YOUR website! ax-bx+ay-by (ax-bx)+(ay-by) x(a-b)+y(a-b) (x+y)(a-b)
 logarithm/693000: 2ln(X-3)= ln(X+5) + ln4 I have natural logarithms so think can use the one to one property but don't know what to do with the 2 before the first natural log. 2ln(X-3) = ln4X+20 Do I move the 2 to square (X+3)?1 solutions Answer 427197 by jim_thompson5910(28577)   on 2012-12-11 16:37:33 (Show Source): You can put this solution on YOUR website! 2*ln(x-3) = ln(x+5) + ln(4) 2*ln(x-3) = ln[(x+5)*4] 2*ln(x-3) = ln(4x+20) ln[(x-3)^2] = ln(4x+20) (x-3)^2 = 4x+20 x^2 - 6x + 9 = 4x+20 x^2 - 6x + 9 - 4x-20 = 0 x^2 - 10x - 11 = 0 (x-11)(x+1) = 0 I'll let you finish. Make sure to check both possible answers (since only one of these values is truly the answer)
 test/692997: Three sides of a triangle are represented by x, x+3 and x+5. The perimeter of the triangle is 35 units. Solve for x.1 solutions Answer 427195 by jim_thompson5910(28577)   on 2012-12-11 16:34:22 (Show Source): You can put this solution on YOUR website!Add up the sides and set them equal to 35. This is because the three sides add up to 35 (the perimeter). Then solve for x. Start with the given equation. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 expressions/692996: 40 + 2x = 60 - 3x1 solutions Answer 427194 by jim_thompson5910(28577)   on 2012-12-11 16:33:26 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Polynomials-and-rational-expressions/692995: list all possible rational zeros of f(x)=2x^3+6x^2-x+81 solutions Answer 427192 by jim_thompson5910(28577)   on 2012-12-11 16:29:38 (Show Source): You can put this solution on YOUR website!Any rational zero can be found through this equation where p and q are the factors of the last and first coefficients So let's list the factors of 8 (the last coefficient): Now let's list the factors of 2 (the first coefficient): Now let's divide each factor of the last coefficient by each factor of the first coefficient Now simplify These are all the distinct rational zeros of the function that could occur
 Graphs/692986: What is the graph of the inequality in the coordinate plane? y < -21 solutions Answer 427188 by jim_thompson5910(28577)   on 2012-12-11 16:11:47 (Show Source): You can put this solution on YOUR website!Graph the horizontal line y = -2 (this is the horizontal line that goes through -2 on the y-axis) Make this a dashed line. Then shade below the dashed line.
 Exponents/692982: find a value so that the graph of the exponential function contains the point (3,1/125)1 solutions Answer 427183 by jim_thompson5910(28577)   on 2012-12-11 16:02:45 (Show Source): You can put this solution on YOUR website!You can have the function , but that's certainly not unique at all since infinitely many exponential functions go through (3, 1/125)
 Graphs/692978: How do I Solve an equation in standard form for y-4=-(x-1)? It was easy at first but then I got confused?1 solutions Answer 427181 by jim_thompson5910(28577)   on 2012-12-11 15:59:57 (Show Source): You can put this solution on YOUR website!y-4=-(x-1) y-4=-x+1 y=-x+1+4 y=-x+5 x+y=5 So the answer is x+y=5
 Expressions-with-variables/692971: Please hekp me with this problem, I'm stuck on it. Bless you. Find all real numbers for which each rational expression is undefined. 17 ____ 6x-30 I believe the answer is 5, am I correct, please show work.1 solutions Answer 427178 by jim_thompson5910(28577)   on 2012-12-11 15:52:44 (Show Source): You can put this solution on YOUR website!You are correct. 6x-30 = 0 6x = 30 x = 30/6 x = 5
 Quadratic_Equations/692969: solve by substituting. x^-2-6x^-1=-4. hint: u=x^-11 solutions Answer 427173 by jim_thompson5910(28577)   on 2012-12-11 15:45:37 (Show Source): You can put this solution on YOUR website!u=x^-1 u^2=x^-2 ------------------------------------------------------- So x^-2-6x^-1=-4 becomes u^2-6u = -4 which turns into u^2 - 6u + 4 = 0 Now use the quadratic formula to solve for 'u'. Once you have two solutions for 'u', use them to find the two solutions for 'x'.
 Quadratic_Equations/692966: Q=L(2+r)^2 for r1 solutions Answer 427172 by jim_thompson5910(28577)   on 2012-12-11 15:41:53 (Show Source):
 Circles/692963: find the circumference of a circle wth radius 7 in1 solutions Answer 427167 by jim_thompson5910(28577)   on 2012-12-11 15:34:09 (Show Source): You can put this solution on YOUR website!C = 2*pi*r C = 2*pi*7 Exact Circumference: C = 14pi inches C = 14*3.14 Approximate Circumference: C = 43.96 inches
 Travel_Word_Problems/692960: A car traveled 140 km in 3.5 hours. What was its average speed in km per hour?1 solutions Answer 427164 by jim_thompson5910(28577)   on 2012-12-11 15:31:18 (Show Source): You can put this solution on YOUR website!d = rt 140 = r*3.5 140/3.5 = r 40 = r r = 40 Average Speed: 40 km/hr -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Polynomials-and-rational-expressions/692957: Could a friendly soul please assist with this problem: Bless your heart. I need to understand work process and how answer was gotten. Thankyou. Solve: 1/x-1 + 2/x = x/x-1 Rational Equation1 solutions Answer 427162 by jim_thompson5910(28577)   on 2012-12-11 15:27:26 (Show Source): You can put this solution on YOUR website! I'll let you finish. Make sure to check all possible answers.
 Surface-area/692955: calculate area of a cube with sides measuring 1.31 solutions Answer 427160 by jim_thompson5910(28577)   on 2012-12-11 15:22:48 (Show Source): You can put this solution on YOUR website!SA = 6s^2 SA = 6*1.3^2 SA = 6*1.69 SA = 10.14 square units
 Graphs/692945: Graph y = -x + 2 y = 3x - 1 1 solutions Answer 427158 by jim_thompson5910(28577)   on 2012-12-11 15:11:35 (Show Source): You can put this solution on YOUR website!Graph the two using a graphing calculator to get Note: the first equation is the green line and the second equation is the blue line
 Volume/692944: Calculate the volume of a sphere with radius measuring 5.4cm1 solutions Answer 427156 by jim_thompson5910(28577)   on 2012-12-11 15:10:25 (Show Source): You can put this solution on YOUR website!V = (4/3)*pi*r^3 V = (4/3)*pi*5.4^3 V = (4/3)*3.14*5.4^3 V = 659.24928 cubic cm (approximately) -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Triangles/692942: If the leg of an isosceles right triangle measures 12 in, then what is the length of the hypotenuse?1 solutions Answer 427155 by jim_thompson5910(28577)   on 2012-12-11 15:03:05 (Show Source): You can put this solution on YOUR website!The hypotenuse is since in general if the leg is x units then the hypotenuse is units.
 Square-cubic-other-roots/692927: What number must be added to x2 – 9x to complete the square?1 solutions Answer 427152 by jim_thompson5910(28577)   on 2012-12-11 14:55:12 (Show Source): You can put this solution on YOUR website!Take half of -9 to get -9/2. Then square this to get the answer of
 Square-cubic-other-roots/692931: If log 2x + log 5y = 1, then xy =1 solutions Answer 427151 by jim_thompson5910(28577)   on 2012-12-11 14:54:31 (Show Source): You can put this solution on YOUR website!log(2x) + log(5y) = 1 log(2x*5y) = 1 log(10xy) = 1 log(10) + log(xy) = 1 1 + log(xy) = 1 log(xy) = 1-1 log(xy) = 0 xy = 10^0 xy = 1 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Graphs/692933: Please help graphing a function how do you graph this function: f(x)={3x+4 if x < -2 {5 if x= -2 {2-x^2 if x > -2 Thanks!1 solutions Answer 427150 by jim_thompson5910(28577)   on 2012-12-11 14:51:51 (Show Source): You can put this solution on YOUR website!You basically graph 3x+4 but only for values of x less than -2. This is shown in green. Then you graph the point (-2, 5) and that's shown in red. Finally, you graph 2-x^2 but only for values of x greater than -2. This is shown in blue. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Square-cubic-other-roots/692928: If f(x) = –x2 + x + 1, then f(a – 2) =1 solutions Answer 427149 by jim_thompson5910(28577)   on 2012-12-11 14:44:12 (Show Source): You can put this solution on YOUR website!f(x) = -x^2 + x + 1 f(a - 2) = -(a - 2)^2 + (a - 2) + 1 f(a - 2) = -(a^2 - 4a + 4) + (a - 2) + 1 f(a - 2) = -a^2 + 4a - 4 + a - 2 + 1 f(a - 2) = -a^2 + 5a - 5 ------------------------------------------------------- Answer: f(a - 2) = -a^2 + 5a - 5 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Square-cubic-other-roots/692925: What are the values of x for which (x + 2)(x + 3) > 0?1 solutions Answer 427147 by jim_thompson5910(28577)   on 2012-12-11 14:40:59 (Show Source): You can put this solution on YOUR website!(x + 2)(x + 3) > 0 is true when x < -3 or x > -2 It is not true when -3 < x < -2 You can see this if you plug in various values for x. For instance, plug in x = 0 (which is greater than -2) to see that you get a positive number. Or you can plug in x = -5 (now it's less than -3) and you'd still get a positive number. Plug in any number between -3 and -2 and you get a negative number. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Equations/692915: it took sarah's mother 8 hours round trip to drive to the university and bring sara back home for spring break. if the university is 112 miles from home, find her mothers average speed. A. 29 mph B. 28 mph C. 55 1/2 mph D. 14 mph1 solutions Answer 427146 by jim_thompson5910(28577)   on 2012-12-11 14:38:25 (Show Source): You can put this solution on YOUR website!Each one way trip takes 8/2 = 4 hours. d = rt 112 = r*4 112/4 = r 28 = r r = 28 So her average speed is 28 mph. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Expressions-with-variables/692918: please help solve this 3x+4y=-3 x+2y=-11 solutions Answer 427145 by jim_thompson5910(28577)   on 2012-12-11 14:34:56 (Show Source): You can put this solution on YOUR website! 3x+4y=-3 x+2y=-1 3x+4y=-3 -2(x+2y)=-2*-1 3x+4y=-3 -2x-4y=2 --------- 1x + 0y = -1 x = -1 x+2y = -1 -1+2y = -1 2y = -1+1 2y = 0 y = 0/2 y = 0 So x = -1 and y = 0 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Expressions-with-variables/692920: please help solve this y=x+5 3x+y=251 solutions Answer 427144 by jim_thompson5910(28577)   on 2012-12-11 14:32:38 (Show Source): You can put this solution on YOUR website!3x+y=25 3x+x+5=25 ... plug in y = x+5 4x+5=25 4x=25-5 4x=20 x=20/4 x=5 Now use this to find y (by plugging it into y=x+5) -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Graphs/692877: Graph the equation y= -1/3x + 21 solutions Answer 427143 by jim_thompson5910(28577)   on 2012-12-11 14:28:35 (Show Source): You can put this solution on YOUR website!Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -1 and the run is 3. This means that to go from point to point, we can go down 1 and over 3 So starting at , go down 1 unit and to the right 3 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com You can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Number-Line/692873: Graph the following set on a number line: (x|x < -1) _ 1 solutions Answer 427142 by jim_thompson5910(28577)   on 2012-12-11 14:27:37 (Show Source): You can put this solution on YOUR website!Draw a number line. Draw a closed circle at -1. Then shade to the left of this closed circle.