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# Recent problems solved by 'Earlsdon'

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 Polynomials-and-rational-expressions/328292: Factor completely: 27-8u^3 Can you please show me how to work this problem? Thank you!1 solutions Answer 235126 by Earlsdon(6287)   on 2010-08-02 23:29:28 (Show Source): You can put this solution on YOUR website!Factor: Rewrite this as: Notice that this is the sum of two cubes: The sum of two cubes can be factored thus: where and so...
 Quadratic_Equations/327900: i am doing completing the square and i want to make sure i have it right solve: x squared + 2x = 8 by completing the square1 solutions Answer 234808 by Earlsdon(6287)   on 2010-08-01 22:37:41 (Show Source): You can put this solution on YOUR website!Solve: by completing the square. Add the square of half the x-coefficient. to both sides. Factor the left side. Take the square root of both sides. or Subtract 1 from both sides in each solution. or
 Polynomials-and-rational-expressions/327508: Multiply and simplify (y^2-8)(9y^2-9y+8) The solution I got was 9y^4-9y^3-64y^2+72Y-64 Is this correct1 solutions Answer 234577 by Earlsdon(6287)   on 2010-07-31 18:03:50 (Show Source): You can put this solution on YOUR website!You got it! =
 Quadratic_Equations/327388: Please help solve the following equation using Quadratic Form (NOT formula): 1 solutions Answer 234518 by Earlsdon(6287)   on 2010-07-31 10:24:48 (Show Source): You can put this solution on YOUR website!Temporarily substitute so now you have: Add 8 to both sides. So now you have a quadratic equation in y. Factor a 2. so... This will factor nicely into... and from the zero product rule you get... or therefore... or Re-substtute or Taking the square root of both of these, we get... or or or
 Exponents/325111: Please help with this problem; I don't get how to work through it and show work. 9*10^-4/3*10^-6 Thank you SO much...1 solutions Answer 232820 by Earlsdon(6287)   on 2010-07-23 22:16:36 (Show Source): You can put this solution on YOUR website! Do the integers first: so... Now, to divide quantities with exponents, subtract the exponents, so... Simplify the exponent. or... or...
 Linear-equations/324946: 2y + 3x = 12 -4y + 5x = -2 How do I solve the above linear equations using the elimination method? I don't understand 1 solutions Answer 232675 by Earlsdon(6287)   on 2010-07-23 11:26:26 (Show Source): You can put this solution on YOUR website!Solve by eliminiation: Here you have two equations in two unknowns. The idea behind the "elimination" method is to eliminate one of the variables (either x or y) then solve for the remaining variable. Once you know the value of one of the variables, you can find the value of the other one by substitution. Let's start: 1) Multiply this equation by 2. 2) -------------------- 1a) 2a) Add these two equations to eliminate the y-variable. ---------------------- 3) Divide both sides by 11. 3a) Now substitute this value of x into either one of the two original equations to solve for y. Let's use equation 1). 1) Substitute x = 2. 1a) 1b) Subtract 6 from both sides. 1c) Divide both sides by 2. 1d)
 Square-cubic-other-roots/324735: what is the answer to the square root of x =111 solutions Answer 232449 by Earlsdon(6287)   on 2010-07-22 12:58:28 (Show Source): You can put this solution on YOUR website!Exact answer is: Approximate answer is: ...
 Exponential-and-logarithmic-functions/324547: 27^x+1=3^2x+11 solutions Answer 232268 by Earlsdon(6287)   on 2010-07-21 21:10:31 (Show Source): You can put this solution on YOUR website!Solve for x: Substitute Simplify the left side. The bases are equal so the exponents are equal. Subtract 2x from both sides. Subtract 3 from both sides.
 Geometry_Word_Problems/323888: The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial A(x) that represents the area. Find A(5).1 solutions Answer 231777 by Earlsdon(6287)   on 2010-07-19 22:52:36 (Show Source): You can put this solution on YOUR website!The area of a rectangle is given by: Substitute and Expand the right side. Substitute Evaluate.
 logarithm/323734: Logx16=21 solutions Answer 231665 by Earlsdon(6287)   on 2010-07-19 15:51:26 (Show Source): You can put this solution on YOUR website!Solve for x??? Write this in exponential form: Take the square root of both sides. or
 Geometry_Word_Problems/322887: If possible, give the name of the convex polygon in which the sum of the interior angles equals 1260°1 solutions Answer 231145 by Earlsdon(6287)   on 2010-07-16 00:33:06 (Show Source): You can put this solution on YOUR website!The sum (S) of the interior angles of a polygon with n sides is given by: and this is given as 1260 degrees, so... Divide both sides by 180. Add 2 to both sides. The polygon has 9 sides and this is called a nonagon.
 Quadratic_Equations/322848: Can somebody Please help me solve this problem? I have been working on it a long time and I still do not understand it. Simplify as much as possible x sqrt 6t^3-tsqrt24tx^2 Assume that all variables represent positive real numbers1 solutions Answer 231121 by Earlsdon(6287)   on 2010-07-15 20:37:16 (Show Source): You can put this solution on YOUR website!Simplify: Rewrite this as: Now take the square root of the perfect squares that are under the radical and move them outside. Factor the common factor of . Perform the indicated subtraction. or
 Miscellaneous_Word_Problems/322376: An object in free fall travels a distance s that is directly proportional to the square of the time t. If an object falls 1,024 feet in 8 seconds, how far will it fall in 12 seconds? 1 solutions Answer 230819 by Earlsdon(6287)   on 2010-07-14 13:49:59 (Show Source): You can put this solution on YOUR website!Write the equation of proportionality: where k is the constant of proportionality. First find the value of k by substituting the given values of s=1,024 feet and t=8 seconds. Substitute this into the given function then you can solve the problem: Substitute t = 12. Evaluate. feet. The objct will fall 2304 feet in 12 seconds.
 Functions/322392: Imagine you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation C(g)=3.50(g) please help don't understand....... find c(7)1 solutions Answer 230818 by Earlsdon(6287)   on 2010-07-14 13:34:51 (Show Source): You can put this solution on YOUR website!In the function , the C stands for the cost of the gas you put into your gas tank. The g stands for the number of gallons of gas you buy, and the 3.50 is the cost, per gallon, of the gas. If you want to find out how much 7 gallons of gas wiil cost, you replace the g in the function with 7 and solve for C, thus: You will interpret this to mean that the cost (C) of 7 gallons of gas (C(7)) is \$24.50
 Rational-functions/322414: Simplify the problem y2+12y+36 __________ y2+15y+541 solutions Answer 230814 by Earlsdon(6287)   on 2010-07-14 13:25:27 (Show Source): You can put this solution on YOUR website!Simplify: Factor both numerator and denominator. Cancel the common factors.
 Linear-systems/322205: y= -2/3x + 4 I have to figure out what x and y are and show my work. I don't know how to do this with fractions.1 solutions Answer 230650 by Earlsdon(6287)   on 2010-07-13 19:11:25 (Show Source): You can put this solution on YOUR website!Knowing how to do it with fractions won't help you here. To solve for x, you first must know the value of y. For example, if had written: you could solve for x thus: Multiply both sides by . Simplify.
 Quadratic_Equations/322200: If you have the solutions: -3 and -2, what would the quadratic equation be?1 solutions Answer 230647 by Earlsdon(6287)   on 2010-07-13 19:04:05 (Show Source): You can put this solution on YOUR website!If the solution to a quadratic equation are: and then the factors were: and so to find the original quadratic equation, just multiply these two factors: = Simplify this to:
 Quadratic-relations-and-conic-sections/322106: Which way does the parabola defined by x=2y^2 + 3 open?1 solutions Answer 230578 by Earlsdon(6287)   on 2010-07-13 15:14:23 (Show Source): You can put this solution on YOUR website!This parabola opens to the right!
 Rational-functions/321871: Can someone please help me to solve this one, I have tried several times, but I am doing something wrong. Please show me what to do. I tried using the quadratic formular, perhaps that is what I am doing incorrectly. 2sqrt(3x^(2)-2)=101 solutions Answer 230427 by Earlsdon(6287)   on 2010-07-12 20:43:10 (Show Source): You can put this solution on YOUR website!Solve for x: Divide both sides by 2 to simplify a bit. Square both sides. Add 2 to both sides. Divide both sides by 3. Take the square root of both sides. or Check the solutions: Substitute x = 3. You can try x = -3 yourself!
 Quadratic_Equations/321287: what is the y intercept of y= -2(x-3)^2 +4 when I calculated: y= -2(0-3)^2 +4 y= -2(-3)^2 +4 y= -2(9) +4 y= -18+4 y= -14 but when i use my graphing calculator i get y=-5 1 solutions Answer 230111 by Earlsdon(6287)   on 2010-07-10 20:50:30 (Show Source): You can put this solution on YOUR website!Your calculated answer is correct! I get y = -14 both ways so I would double check your calculator entry if I were you.
 logarithm/321288: logx 2 = 0.431 and logx 3 = 0.683, what is logx 12?1 solutions Answer 230108 by Earlsdon(6287)   on 2010-07-10 20:40:04 (Show Source): You can put this solution on YOUR website!==
 Quadratic_Equations/321273: Find and label the vertex (ordered pair) and the line of symmetry. f(x) = 1/5 x^21 solutions Answer 230083 by Earlsdon(6287)   on 2010-07-10 18:07:28 (Show Source): You can put this solution on YOUR website!The equation of the axis of symmetry of can be found by: and in your equation, and so... This is the equation of the line of symmetry. The vertex can be found by substituting into the given equation. Replace f(x) with y. Substitute The vertex is at (0, 0)
 Bodies-in-space/321274: how many times does the volume of a sphere increases if the radius is 1) double 2)half1 solutions Answer 230080 by Earlsdon(6287)   on 2010-07-10 17:57:19 (Show Source): You can put this solution on YOUR website!The volume of a sphere is given by: Where r = radius. 1) Let's what happens when you double the radius: Move the 8 to the front. ...and you can see that the volume V is 8 times the original volume. 2) ...and if we divide the radius by 2... or... ...so the volume is decreased by a factor of 8.
 Radicals/321246: please help with this... sqrt (x-4)+ sqrt (x+1) = 51 solutions Answer 230075 by Earlsdon(6287)   on 2010-07-10 17:39:47 (Show Source): You can put this solution on YOUR website!Solve for x: First, subtract from both sides. Now square both sides. Simplify the right side. Subtract x from both sides. Subtract 26 from both sides. Divide both sides by -10. Square both sides. Subtract 1 from both sides. or
 Volume/321166: how do you find the volume of a prism?1 solutions Answer 230000 by Earlsdon(6287)   on 2010-07-10 10:04:12 (Show Source): You can put this solution on YOUR website!The volume of a prism: where B = area of the base and h = height.
 Quadratic_Equations/320743: (1)What does the Principle of Zero Products state? How is it used to solve a quadratic equation? (2)Explain how to complete the square on x2 + 14x. Then write the resulting perfect square trinomial as the square of a binomial. 1 solutions Answer 229721 by Earlsdon(6287)   on 2010-07-08 15:42:53 (Show Source): You can put this solution on YOUR website!1) The Principle of Zero Prducts states: If A*B = 0, then either A = 0, or B = 0, or both A and B are 0. In solving quadratic equations by factoring, you typically end up with two binomial factors whose product equals zero; for example... and, when factored you get: Applying the principle of Zero Products, you can state that... or from which follows... or 2) To complete the square of you will add the square of half the x-coefficient to both sides of the equation, thus... Simplifying this you get... Factoring the left side gives you... which is readily solved by taking the square root of both sides and solving for x. or so that... or
 Quadratic_Equations/320785: Any help with the following word problem would be great. I just really need the help setting up the problem. A gardener has a rose garden that measures 30 feet by 20 feet. He wants to put a uniform border of pine bark around the outside of the garden. Find how wide the border should be if he has enough pine bark to cover 336 square feet.1 solutions Answer 229716 by Earlsdon(6287)   on 2010-07-08 15:14:50 (Show Source): You can put this solution on YOUR website!Let the width of the path be x feet. The plan is to express the area of the garden with the border in terms of x, then subtract the area of just the garden. This will result in a quadratic equation in x which you solve by any of the appropriate methods available to you. The area of the garden with border can be expressed as: Simplify this to: The area of just the garden is: sq.ft. Now subtract from . This is the area of the border of width x ft. which is given as 336 sq.ft., so... Subtract 336 from both sides. Simplify by factoring out a 4. ...and from the zero product rule, you get that: You can solve this by factoring and you should get: or The width cannot be a negative quantity, so the width must be 3 feet.
 Polynomials-and-rational-expressions/320015: I have tried to solve the equations many times, each time I come up with a different answer, Please help me with a step-by-step guide. (x-3)^2+(x+2)^2=171 solutions Answer 229189 by Earlsdon(6287)   on 2010-07-05 23:41:36 (Show Source): You can put this solution on YOUR website!Solve for x: Expand the two terms in parentheses. Simplify the left side. Subtract 17 from both sides. Factor 2 from the left side. Apply the zero product rule. Factor the left side. Apply the zero product rule. or so... or
 Equations/319895: x/4-3=5 my answer is 23 professor answer is 32 please explain how this comes to be 1 solutions Answer 229082 by Earlsdon(6287)   on 2010-07-05 15:41:22 (Show Source): You can put this solution on YOUR website!Solve for x: Add 3 to both sides. Multiply both sides by 4.
 logarithm/319722: Solve the following equation for the value of the variable x. log 25 5 = x the problem should read as x is the logarithm of 5 with base of 25. Thank you for taking a look at this, it is appreciated.1 solutions Answer 228982 by Earlsdon(6287)   on 2010-07-04 22:16:57 (Show Source): You can put this solution on YOUR website!Solve for x: Express this in exponential form: ---> Substitute The bases (5) are equal so the exponents are equal: Divide by 2.