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 Quadratic_Equations/76004: 27-y^2=01 solutions Answer 54577 by funmath(2925)   on 2007-03-27 16:09:22 (Show Source): You can put this solution on YOUR website!27-y^2=0 +/- +/- +/- Happy Calculating!!!!
 Polynomials-and-rational-expressions/76002: Hi, um well i just finished taking a test on polynomials and i was stumped on one question and it was like 4x(cubed) + 3x(squared) + 2x + 1. so the question was is the degree and I put 3. To my understanding, i thought degree ment the highest exponent in a polynomial. Am I correct or wrong??1 solutions Answer 54576 by funmath(2925)   on 2007-03-27 16:06:16 (Show Source): You can put this solution on YOUR website!You're right is a third degree polynomial, however the degree is the highest of the combined exponents of a term in the polynomial. : For instance } is a 6 degree polynomial because the first term has a combined exponent value of 4+2=6. : Happy Calculating!!!!
 Triangles/75956: Geometry. Refer to the triangle in the figure. Find an expression that represents its perimeter. One side is 3/4x 2nd side is 5/ x^2 Bottom side is 1/x^21 solutions Answer 54553 by funmath(2925)   on 2007-03-27 11:56:56 (Show Source): You can put this solution on YOUR website!Geometry. Refer to the triangle in the figure. Find an expression that represents its perimeter. One side is 3/4x 2nd side is 5/ x^2 Bottom side is 1/x^2 To find the perimeter, you add the sides together: The LCD is 4x^2, whatever you multiply the denominator by you also must multiply the numerator by. Happy Calculating!!!!
 Miscellaneous_Word_Problems/75967: Bob scored 48 points last season. this is 6 fewer than twice the number Gene scored. How many points did Gene score? Please show how you solved it.1 solutions Answer 54552 by funmath(2925)   on 2007-03-27 11:38:12 (Show Source): You can put this solution on YOUR website!Bob scored 48 points last season. this is 6 fewer than twice the number Gene scored. How many points did Gene score? Please show how you solved it. Let the number of points Gene scored be: x twice means 2* 6 fewer means: -6 is means: = Therefore, 48=2x-6 48+6=2x-6+6 54=2x 54/2=2x/2 27=x Gene scored 27 points. Happy Calculating!!!
 Polynomials-and-rational-expressions/75959: Add or subtract as indicated. Express your result in simplest form 3/ x^2 + 4x +3 – 1/ x^2 – 9 1 solutions Answer 54551 by funmath(2925)   on 2007-03-27 11:13:57 (Show Source): You can put this solution on YOUR website!Add or subtract as indicated. Express your result in simplest form 3/ x^2 + 4x +3 – 1/ x^2 – 9 The LCD is (x+1)(x+3)(x-3) whatever you multiply the bottom by you have to multiply the top by. or Happy Calculating!!!
 Polynomials-and-rational-expressions/75955: Add or subtract as indicated. Express your results in simplest form x^2/ x -3 – 9/ x -31 solutions Answer 54549 by funmath(2925)   on 2007-03-27 10:53:30 (Show Source): You can put this solution on YOUR website!Add or subtract as indicated. Express your results in simplest form x^2/ x -3 – 9/ x -3 Happy Calculating!!!!
 Polynomials-and-rational-expressions/75961: Add or subtract as indicated. Express your results in simplest form 5a – 12/ a^2 – 8a + 15 – 3a – 2/ a^2 – 8a + 151 solutions Answer 54548 by funmath(2925)   on 2007-03-27 10:49:02 (Show Source): You can put this solution on YOUR website!I'm guessing as to where your fractions begin and end. It helps us if you put the whole numerator in parentheses and the whole denominator in parentheses. If I misinterpretted you, please let me know. Add or subtract as indicated. Express your results in simplest form 5a – 12/ a^2 – 8a + 15 – 3a – 2/ a^2 – 8a + 15 Happy Calculating!!!
 Quadratic_Equations/75952: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 • 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2). • v0 is the initial velocity (how hard do you throw the object, measured in feet per second). • s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0. a) What is the function that describes this problem? b) The ball will be how high above the ground after 1 second? c) How long will it take to hit the ground? d) What is the maximum height of the ball?1 solutions Answer 54546 by funmath(2925)   on 2007-03-27 10:39:15 (Show Source): You can put this solution on YOUR website!Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 • 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2). • v0 is the initial velocity (how hard do you throw the object, measured in feet per second). • s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0. a) What is the function that describes this problem? v0=32 ft/s; s0=0 ft s=-16t^2+32t+0 s=-16t^2+32t : b) The ball will be how high above the ground after 1 second? s=-16(1)^2+32(1) s=-16(1)+32 s=-16+32 s=16 ft. : c) How long will it take to hit the ground? 0=-16t^2+32t 0=-16t(t-2) -16t=0 or t-2=0 -16t/-16=0/-16 or t-2+2=0+2 t=0 or t=2 When t=0 the ball is shot up, the ball lands at t=2 s. : d) What is the maximum height of the ball? The ball reaches its maximum height at the vertex of the parabola represented by the quadratic equation. There are a couple of ways of finding that. This is just one way. You can use the formual , to find the value of t and then substitute that value into the equation to find the height s. a=-16 and b=32 t=1 s We found the height at t=1 s for b. The maximum height is s=16 ft. : Happy Calculating!!!!
 Complex_Numbers/75942: Please help me in simplifying complex fractions: x-xy -¹ / 1 + x/y 1 solutions Answer 54542 by funmath(2925)   on 2007-03-27 10:15:42 (Show Source): You can put this solution on YOUR website!simplifying complex fractions: x-xy -¹ / 1 + x/y Multiply the top and bottom by the LCD y or Happy Calculating!!!!
 Triangles/75949: One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5 inches long. What are the lengths of the unknown leg and hypotenuse?1 solutions Answer 54540 by funmath(2925)   on 2007-03-27 10:06:48 (Show Source): You can put this solution on YOUR website!One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5 inches long. What are the lengths of the unknown leg and hypotenuse? The Pythagorean theorem says the hypotenuse squared = leg squared + other leg squared c^2=a^2+b^2 Let the hypotenuse be: x Then the leg that is two inches smaller than the hypotenuse is: x-2 The other leg is: 5 The hypotenuse is x=7.25 in The missing leg is x-2=7.25-2=5.25 in Happy Calculating!!!!
 percentage/75950: what is 30% of 85?1 solutions Answer 54538 by funmath(2925)   on 2007-03-27 09:52:56 (Show Source): You can put this solution on YOUR website!what is 30% of 85? Happy Calculating!!!!
 Exponents-negative-and-fractional/75940: This question is from textbook Algebra simplify each expression. Use positive exponents. (4xy^2)^4(2y)^-31 solutions Answer 54537 by funmath(2925)   on 2007-03-27 09:49:48 (Show Source): You can put this solution on YOUR website!simplify each expression. Use positive exponents. (4xy^2)^4(2y)^-3 Happy Calculating!!!!
 logarithm/75944: Please explain how the graph of y=(1/2)^x + 1 can be obtained from the graph y=2^x. Thank you.1 solutions Answer 54536 by funmath(2925)   on 2007-03-27 09:34:13 (Show Source): You can put this solution on YOUR website!Please explain how the graph of y=(1/2)^x + 1 can be obtained from the graph y=2^x. Thank you. The graph of y=2^x is found by plotting some points like this: x=-2, y=2^(-2)=1/4, (-2,1/4) x=-1, y=2^(-1)=1/2, (-1,1/2) x=0, y=2^0=1, (0,1) x=1, y=2^1=2, (1,2) x=2, y=2^2=4, (1,4) y=(1/2)^x+1 can be written as: y=2^(-x)+1 So your graph of y=2^x will be reflected about the y-axis because of the -x It will also be shifted up vertically because of the +1. Ultimately, it looks like this: If you multiply all the x's you plotted for the first graph by -1 and then added 1 to all their corresponding y's you'll have points to plot for this graph. Happy Calculating!!!
 logarithm/75947: Please write the algebraic equation which can be used to find the exact solution of log base 5^(x-4) + log base 5^(x+1)=3. Thank you.1 solutions Answer 54532 by funmath(2925)   on 2007-03-27 09:12:47 (Show Source): You can put this solution on YOUR website!log base 5^(x-4) + log base 5^(x+1)=3. Use the product rule for logs. log base 5^ (x-4)(x+1)=3 Rewrite as an exponential eqaution. Rememeber that even when you solve this, you need to check your solutions and make sure they aren't extraneous. Happy Calculating!!!!
 Equations/75945: 16x^2-36=? 9x^2+81=?1 solutions Answer 54530 by funmath(2925)   on 2007-03-27 08:57:49 (Show Source): You can put this solution on YOUR website!Are you supposed to be factoring or solving for x? 16x^2-36=? This is the difference of perfect squares the rule for that is . : 9x^2+81=? This is the sum of perfect squares and is prime. It can't be factored or solved unless you have started using the complex number system. : If you have started using complex numbers or need these solved for x let me know. Happy Calculating!!!
 Complex_Numbers/75943: Can you please help me in simplifying this complex fraction? x-3/x+3 + x+3/x-3 ___________________ x-3/x+3 - x+3/x-31 solutions Answer 54528 by funmath(2925)   on 2007-03-27 08:31:47 (Show Source): You can put this solution on YOUR website!Can you please help me in simplifying this complex fraction? x-3/x+3 + x+3/x-3 ___________________ x-3/x+3 - x+3/x-3 Multiply the top and bottom by the LCD: (x-3)(x+3) Happy Calculating!!!!
 Finite-and-infinite-sets/75589: use the following sets: U = (2,4,6,8,10,12,14) A = (4,6,8), B = (2,6,10,12), C = (2,8,14) Find A ∪ B A. (4,6,8,2,6,10,12) B. (6) C. Null Set D. (2,4,6,8,10,12) Find A ∪C ' A. (4,6,8,10,12) B. (4,6) C. (2,4,6,8,14) D. (8) Find A' ∪(B∩C) A. (2) B. (2,10,12,14) C. (2,4,6,8) D. U = Univeral Set Find n(B'∩C) A. (8,14) B. (2) C. 2 D. 41 solutions Answer 54324 by funmath(2925)   on 2007-03-24 09:04:18 (Show Source): You can put this solution on YOUR website! use the following sets: U = (2,4,6,8,10,12,14) A = (4,6,8), B = (2,6,10,12), C = (2,8,14) Find A U B A. (4,6,8,2,6,10,12) B. (6) C. Null Set . (2,4,6,8,10,12) It has everything in A and everything in B Find A U C ' . (4,6,8,10,12) It has everything in A and everything not in C B. (4,6) C. (2,4,6,8,14) D. (8) Find A' U (B n C) A. (2) . (2,10,12,14)It has everything not in A and what's everything that's in common between B and C. C. (2,4,6,8) D. U = Universal Set Find n(B' n C) A. (8,14) B. (2) . 2 The number of elements that aren't in B and also in C are 2. D. 4 Happy Calculating!!!
 Exponents/75636: Find the solutions of the following equations. Check for extraneous solutions. (x-5)^1/4+3=21 solutions Answer 54320 by funmath(2925)   on 2007-03-24 08:07:07 (Show Source): You can put this solution on YOUR website!Find the solutions of the following equations. Check for extraneous solutions. (x-5)^1/4+3=2 There is no even root that results in a negative outcome, so you can stop here and say there's no solution. However, if your teacher wants you to keep going: However this is extraneous, because: Not true. Happy Calculating!!!!