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# Recent problems solved by 'funmath'

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 Human-and-algebraic-language/64281: Write the following phrase using symbols. 10 times the sum of t and z 1 solutions Answer 44916 by funmath(2925)   on 2006-12-07 20:59:04 (Show Source): You can put this solution on YOUR website!Write the following phrase using symbols. 10 times the sum of t and z times means multiply * sum means add + 10*(t+z) or 10(t+z) Happy Calculating!!!
 Functions/64272: The cost of producing a number of items x is given by C = mx = b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is \$40 and the variable cost is \$10, write the cost equation. (b) Graph the cost equation.1 solutions Answer 44915 by funmath(2925)   on 2006-12-07 20:56:19 (Show Source): You can put this solution on YOUR website!The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is \$40 and the variable cost is \$10, write the cost equation. b=40 and m=10 C(x)=10x+40 : (b) Graph the cost equation. Happy Calculating!!!!
 Square-cubic-other-roots/64240: This question is from textbook An Incremental Development simplifiy : 2 times the square root of 32(3 times the square roo tof 24 - square root of 10)1 solutions Answer 44914 by funmath(2925)   on 2006-12-07 20:48:51 (Show Source): You can put this solution on YOUR website!simplifiy : Happy Calculating!!!
 Linear-systems/64243: IS THIS A PERPENDICULAR LINE, PARALLEL LINE, OR NEITHER OF THOSE TWO LINES. X=2, Y=91 solutions Answer 44912 by funmath(2925)   on 2006-12-07 20:40:43 (Show Source): You can put this solution on YOUR website!IS THIS A PERPENDICULAR LINE, PARALLEL LINE, OR NEITHER OF THOSE TWO LINES. X=2, Y=9 x=2 is a vertical line going through (2,0) its slope is undefined. y=9 is a horizontal line going through (0,9) its slope is 0. Vertical and horizontal lines are PERPENDICULAR to each other, they meet at a 90 degree angle. Happy Calculating!!!
 Functions/64263: write the function form of 4x-2y=181 solutions Answer 44911 by funmath(2925)   on 2006-12-07 20:35:02 (Show Source): You can put this solution on YOUR website!write the function form of 4x-2y=18 -4x+4x-2y=-4x+18 0-2y=-4x+18 -2y=-4x+18 -2y/-2=-4x/-2+18/-2 y=2x-9 <--in some books this is enough, in others, they replace y with f(x) f(x)=2x-9 I hope one of these is what your book wants. Happy Calculating!!!
 Equations/64241: 4t-t=6+t1 solutions Answer 44900 by funmath(2925)   on 2006-12-07 16:57:20 (Show Source): You can put this solution on YOUR website!4t-t=6+t 3t=6+t 3t-t=6+t-t 2t=6+0 2t=6 2t/2=6/2 Check, if t=3, do the sides equal? 4(3)-(3)=6+(3) 12-3=6+3 9=9 yes! we're right! Happy Calculating!!!!
 Quadratic_Equations/64138: This question is from textbook An Incremental Development please help add 3x/x^2 + 3x - 10 - 4 / x + 51 solutions Answer 44782 by funmath(2925)   on 2006-12-06 14:25:17 (Show Source): You can put this solution on YOUR website!add Factor The LCD is (x+5)(x-2), whatever you do to the denominator to get that you also do to the numerator. Some teachers prefer that you don't lead with a negative, so: Happy Calculating!!!
 Graphs/64032: what is the point slope form of (0,2)(-4,2). also i need that point slope form to be turned into slope intercept form, and standard form. thanks. HOckeyk41.1 solutions Answer 44748 by funmath(2925)   on 2006-12-06 09:38:29 (Show Source): You can put this solution on YOUR website!Hi HOckey41, what is the point slope form of (0,2)(-4,2). also i need that point slope form to be turned into slope intercept form, and standard form. In order to put these points in point slope form, we need to find the slope between the points. To find the slope between two points, use the slope formula: , m=slope, (x1,y1) and (x2,y2) are the given points. (x1,y1)=(0,2) and (x2,y2)=(-4,2) m=0 This is a special case, if the slope is 0, you have a horizontal line: Notice that the y's are the same in both points. If you draw a line through the two points, you will see that the line is horizontal. The equation for a horizontal line is y=k, where k is a constant. This equation is y=2. If we try to write it in point slope form y-y1=m(x-x1), where m=slope, and (x1,y1) is a given point: y-2=0(x-0) If we try to write it in slope intercept form y=mx+b, where m=slope, and (0,b)=y-intercept: y=0x+2 If we want it in standard form Ax+By=C. y=0x+2 y=0+2 y=2 Is the best we can do. Happy Calculating!!!
 Square-cubic-other-roots/64101: Rationalize the denominator: 2/((square root of)2 - 1) a) 2/((square root of)2 + 1) b) (square root of)2 - 1 c) 2(square root of)2 + 1 d) (square root of)2 + 1 e) none of these1 solutions Answer 44742 by funmath(2925)   on 2006-12-06 09:23:45 (Show Source): You can put this solution on YOUR website!Rationalize the denominator: a) b) c) d) e) none of these The answer is either none of these or one of these answers could be: Is another look to the answer with 2 factored out. Happy Calculating!!!
 Square-cubic-other-roots/64100: Combine and Simplify: 2(square root of)18 - (square root of)27 + (square root of)32 a) 13(square root of)6 b) 10(square root of)2 - 3(square root of)3 c) 7(square root of)6 d) 10(square root of)6 + (square root of)3 e) none of these1 solutions Answer 44738 by funmath(2925)   on 2006-12-06 08:49:00 (Show Source): You can put this solution on YOUR website!Combine and Simplify: a) c) d) e) none of these Happy Calculating!!!
 Functions/64049: 3x + 4y = 12 (0, ),( ,3/4),( ,0),(8/3, )1 solutions Answer 44735 by funmath(2925)   on 2006-12-06 08:32:50 (Show Source): You can put this solution on YOUR website!3x + 4y = 12 (0, ),( ,3/4),( ,0),(8/3, ) Ordered pairs are in this order (x,y) For (0, ), let x=0 and solve for y. 3(0)+4y=12 0+4y=12 4y=12 4y/4=12/4 y=3 Therefore, (x,y)=(0,3) : For ( ,3/4), let y=3/4 and solve for x. 3x+4(3/4)=12 3x+12/4=12 3x+3=12 3x+3-3=12-3 3x=9 3x/3=9/3 x=3 Therefore, (x,y)=(3,3/4) : For ( ,0), let y=0 and solve for x. 3x+4(0)=12 3x+0=12 3x=12 3x/3=12/3 x=4 Therefore, (x,y)=(4,0) : For (8/3, ), let x=8/3 and solve for y. 3(8/3)+4y=12 24/3+4y=12 8+4y=12 8-8+4y=12-8 4y=4 4y/4=4/4 y=1 Therefore, (x,y)=(8/3,1) Happy Calculating!!!
 Square-cubic-other-roots/64097: Combine and Simplify 5(square root of)50 - 3(square root of)128 a) (square root of)2 b) -(square root of 2) c) 1 d) 2(square root of)78 e) none of these1 solutions Answer 44734 by funmath(2925)   on 2006-12-06 08:23:28 (Show Source): You can put this solution on YOUR website!Combine and Simplify : b) c) 1 d) e) none of these : Happy Calculating!!!
 Radicals/64096: The square root of U to the 3rd power divided by the cubed root of U?1 solutions Answer 44733 by funmath(2925)   on 2006-12-06 08:16:28 (Show Source): You can put this solution on YOUR website!The square root of U to the 3rd power divided by the cubed root of U? Rewrite using fractional exponents. The powers are the numerators (top) and the indexes are the denominators. subtract the exponents when dividing. Which is also the sixth root of U to the seventh power. Happy Calculating!!!
 Polynomials-and-rational-expressions/64082: Factor the following trinomial: 16x^2 + 40xy + 25y^2 I am still a little confused by this stuff. I hope that someone can help me understand???? 1 solutions Answer 44730 by funmath(2925)   on 2006-12-06 06:46:07 (Show Source): You can put this solution on YOUR website!Factor the following trinomial: 16x^2 + 40xy + 25y^2 It helps to recognize a perfect square trinomials. : a=4x and b=5y Happy Calculating!!!
 Polynomials-and-rational-expressions/64083: Factor the following expression: a^2(b  c)  16b^2(b  c) I need help yet again, please!!1 solutions Answer 44729 by funmath(2925)   on 2006-12-06 06:42:42 (Show Source): You can put this solution on YOUR website!Factor the following expression: a^2(b  c)  16b^2(b  c) Factor out the GCF b-c Factor the difference of squares. Happy Calculating!!!
 Polynomials-and-rational-expressions/64084: Factor the polynomial by grouping the first two terms and the last two terms: x^3  4x^2 + 2x - 8 1 solutions Answer 44728 by funmath(2925)   on 2006-12-06 06:36:17 (Show Source): You can put this solution on YOUR website!Factor the polynomial by grouping the first two terms and the last two terms: x^3  4x^2 + 2x - 8 Factor out the GCF out of each parentheses. x^2(x-4) and 2(x-4) both have a (x-4). Factor out the GCF x-4. When you do this and , so you have: Happy Calculating!!!
 Quadratic_Equations/64085: Solve the following quadratic equation: 4x^2 = 13x + 12 1 solutions Answer 44727 by funmath(2925)   on 2006-12-06 06:31:16 (Show Source): You can put this solution on YOUR website!Solve the following quadratic equation: 4x^2 = 13x + 12 set =0 factor using your favorite method. I'm using the ac or grouping method. set each parentheses =0 and solve for x. x-4=0 or 4x+3=0 x-4+4=0+4 or 4x+3-3=0-3 x=4 or 4x=-3 x=4 or 4x/4=-3/4 x=4 or x=-3/4 Happy Calculating!!!
 Polynomials-and-rational-expressions/64086: Factor the following completely: 9x^2 + 12xy + 4y^2 - 25 1 solutions Answer 44726 by funmath(2925)   on 2006-12-06 06:24:42 (Show Source): You can put this solution on YOUR website!Factor the following completely: It helps to recognize a perfect square trinomial: And the difference of squares: : 9x^2 + 12xy + 4y^2 - 25 Happy Calculating!!!
 Polynomials-and-rational-expressions/64087: Rewrite the middle term as the sum of two terms and then factor completely. 4z^3 - 18z^2  10z 1 solutions Answer 44725 by funmath(2925)   on 2006-12-06 06:17:11 (Show Source): You can put this solution on YOUR website!Rewrite the middle term as the sum of two terms and then factor completely. 4z^3 - 18z^2  10z First factor out the GCF 2z a=2, b=-9, c=-5 Replace the middle coefficient with two numbers that multiply to get ac, but add to get b. ac=2(-5)=-10 -10(1)=-10 -10+1=-9 Group the first two and last two terms. Factor out the GCF from each group. Factor out the GCF (z-5) Happy Calculating!!!
 Polynomials-and-rational-expressions/64088: Rewrite the middle term as the sum of two terms and then factor completely. 12w^2 + 19w + 4 1 solutions Answer 44724 by funmath(2925)   on 2006-12-06 06:07:33 (Show Source): You can put this solution on YOUR website!Rewrite the middle term as the sum of two terms and then factor completely. 12w^2 + 19w + 4 You need to replace the middle coefficient b, with two numbers that multiply to get ac, but add to get b. a=12, b=19, and c=4 ac=12(4)=48 3*16=48 3+16=19 Group the first two and the last two terms. Factor out the GCF in each parentheses Factor out the GCF (4w+1) Happy Calculating!!!
 Polynomials-and-rational-expressions/64089: Use the ac test to determine if the following trinomial can be factored. Find the values of ma and n for the trinomial so that it can be factored: x^2  3x + 7 1 solutions Answer 44723 by funmath(2925)   on 2006-12-06 05:59:18 (Show Source): You can put this solution on YOUR website!The terminology for factoring varies with books and teachers, I am not familiar with your terminology x^2  3x + 7 a=1, b=-3, and c=7 In order to factor you need to find 2 numbers that multiply to get ac, but add to get b ac=1(7)=7 There are only two ways to mutiply to get 7: (1)(7)=7 (-1)(-7)=7 However, if you add them together you don't get b=-3 1+7=8 (-1)+(-7)=-8 This isn't factorable. Happy Calculating!!!
 Polynomials-and-rational-expressions/64090: Use the ac test to determine if the following trinomial can be factored. Find the values of ma and n for the trinomial so that it can be factored: x^2 + 2x - 15 1 solutions Answer 44722 by funmath(2925)   on 2006-12-06 05:50:34 (Show Source): You can put this solution on YOUR website!There is different terminology for factoring depending on your book and teacher, I am not familiar with your terminology. : x^2 + 2x - 15 The coefficient of x^2 is a, the coefficient of x is b, and the constant is c. a=1, b=2, c=-15 ac=(1)(-15)=-15 We need 2 numbers that multiply to get ac=-15 and add to get b=2 5*-3=-15 5+(-3)=2 Therefore, the trinomial factors out to be: Hope this helped. Happy Calculating!!!
 Polynomials-and-rational-expressions/64091: Factor the polynomial by grouping the first two terms and the last two terms: x^3  4x^2 + 2x - 8 1 solutions Answer 44721 by funmath(2925)   on 2006-12-06 05:41:28 (Show Source): You can put this solution on YOUR website!Factor the polynomial by grouping the first two terms and the last two terms: x^3  4x^2 + 2x - 8 Factor out the GCF in both parentheses Factor out the GCF (x-4) Happy Calculating!!!
 Polynomials-and-rational-expressions/64092: Factor the following expression: a^2(b  c)  16b^2(b  c) 1 solutions Answer 44720 by funmath(2925)   on 2006-12-06 05:38:04 (Show Source): You can put this solution on YOUR website!Factor the following expression: Factor out the GCF (b-c) Factor the difference of squares. Happy Calculating!!!
 Polynomials-and-rational-expressions/64093: Factor the following trinomial: 16x^2 + 40xy + 25y^2 1 solutions Answer 44718 by funmath(2925)   on 2006-12-06 05:30:07 (Show Source): You can put this solution on YOUR website!It helps in factoring this to be able to recognize a perfect square trinomial: There are two possibilities for a perfect square: : Factor the following trinomial: Happy Calculating!!!
 Expressions-with-variables/64094: This question is from textbook prentice hall algebra1 1 solutions Answer 44717 by funmath(2925)   on 2006-12-06 05:23:40 (Show Source): You can put this solution on YOUR website!Please type in your problem along with your directions so that we can help. We don't have everyone's books.
 Word_Problems_With_Coins/64036: Mike has 7 more nickles than quarters. In all he has \$1.25. How man nickles does he have? I'm stuck again!1 solutions Answer 44684 by funmath(2925)   on 2006-12-05 21:03:35 (Show Source): You can put this solution on YOUR website!Mike has 7 more nickles than quarters. In all he has \$1.25. How man nickles does he have? Let the number of quarters be: x Then the amount of money in quarters: .25x Then the number of nickels are: x+7 and the amount of money in nickels is: .05(x+7) The total money is: 1.25 Problem to solve is: .25x+.05(x+7)=1.25 .25x+.05x+.35=1.25 .30x+.35=1.25 .30x+.35-.35=1.25-.35 .30x=.90 .30x/.30=.90/.30 x=3 <--that's the number of quarters The number of nickels: x+7=3+7=10 Sanity Check: If you have 3 quarters and 10 nickels, do you have \$1.25? 3(.25)+10(.05)=1.25 .75+.50=1.25 1.25=1.25 Yes! Happy Calculating!!!
 Equations/63970: what is 5x+1=x+131 solutions Answer 44627 by funmath(2925)   on 2006-12-05 14:36:22 (Show Source): You can put this solution on YOUR website!This is an equation. : 5x+1=x+13 5x-x+1=x-x+13 4x+1=13 4x+1-1=13-1 4x=12 4x/4=12/4 x=3 : Check, if x=3, does the equation balance? 5(3)+1=3+13 15+1=16 16=16 We're right! Happy Calculating!!!
 Polynomials-and-rational-expressions/63971: hello, how would you factor each polynomial: a) x^2 - 100 b) 4y^2 - 49 thank you!1 solutions Answer 44626 by funmath(2925)   on 2006-12-05 14:29:18 (Show Source): You can put this solution on YOUR website!The rule for factoring the difference of squares is a) x^2 - 100 a=x, b=10 (x+10)(x-10) : b) 4y^2 - 49 a=2y, b=7 (2y+7)(2y-7) : Happy Calculating!!!
 Polynomials-and-rational-expressions/63972: This question is from textbook algebra for college students hello how do you factor this polynomial? x^2 - 20x + 100 thank you!1 solutions Answer 44625 by funmath(2925)   on 2006-12-05 14:26:24 (Show Source): You can put this solution on YOUR website!x^2 - 20x + 100 (x____)(x_____) We need to fill the blanks with two numbers that multiply to get the last term, 100. But add together to get the coefficient of the middle term, -20. -10*-10=100 -10+-10=-20 (x-10)(x-10) (x-10)^2 Happy Calculating!!!