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# Recent problems solved by 'funmath'

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 Travel_Word_Problems/60110: This question is from textbook Elementry and Intermediate Algebra Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he traveled. How much distance he covered if x = 45 Mph?1 solutions Answer 41448 by funmath(2926)   on 2006-11-07 16:57:38 (Show Source): You can put this solution on YOUR website!Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he traveled. How much distance he covered if x = 45 Mph? Distance = rate times time, d=rt :Polynomial d(x)=3x+2(x+15) d(x)=3x+2x+30 d(x)=5x+30 : d(45)=5(45)+30 d(45)=225+30 d(45)=255 mi Happy Calculating!!!
 Quadratic_Equations/60312: It says for each equation identify the axis of symmetry, create a suitable table of values, ans sketch the graph (including the axis of symmetry) I got the axis of symmetry as 3. Is this right? Can you do the rest step by step for me! Thanks in advance! ac1 solutions Answer 41445 by funmath(2926)   on 2006-11-07 16:48:53 (Show Source): You can put this solution on YOUR website!You need to give us the quadratic equation that you're working on with the directions. I have no idea what you're talking about. If you send me that, I'll get back to you tonight.
 Numeric_Fractions/60300: This is not from a text book it was custom made. Simplify 1+1/(c-1)/1-1/(c-1) ---> for solver format((1+1/(c-1)))/((1-1/(c-1))) It gave me the answer 1/(c-1)+1/1/(c-1)-1 Is this correct? I was thinking the answer would be -1? This is the way it looks on the worksheet. Simplify: 1 + 1 ___ c-1 __________ = 1 - 1 ___ c-1 Thank you very much I hope you can help.1 solutions Answer 41444 by funmath(2926)   on 2006-11-07 16:46:11 (Show Source): You can put this solution on YOUR website!The complex fraction you made up is undefined the way you have it written. The bottome fraction hac a numerator of 1-1, 1-1=0. That makes the bottom fraction equal to 0, which makes the top fraction undefined. You can't divide by 0. Unless you meant: : Happy Calculating!!!
 Equations/60301: This question is from textbook Pre-Algebra Please solve the equation. -6(4x+3)=6(-4x-3). Thanks for the help!1 solutions Answer 41436 by funmath(2926)   on 2006-11-07 16:20:07 (Show Source): You can put this solution on YOUR website!Solve the equation. -6(4x+3)=6(-4x-3). -6(4x)-6(3)=6(-4x)+6(-3) -24x-18=-24x-18 Do you see that the left and right side of the equation are equal? This is an identity, If you continue to try and solve this, you'll get: 0=0. There are infinitely many solutions, some books say that the solution is all real numbers. No matter what you put in for x, both sides will always be equal. Happy Calculating!!!
 Functions/60240: Decide whether or not the functions are inverses of each other. f(x)=(x-4)^2, x≥4; g(x)= sqrt(x+4)1 solutions Answer 41435 by funmath(2926)   on 2006-11-07 16:18:03 (Show Source): You can put this solution on YOUR website!Decide whether or not the functions are inverses of each other. , ; find (fog)(x) and (gof)(x), if they =x, then they're inverses of each other. No they aren't inverses. : If you mistyped this and g(x) was really , they are. Happy Calculating!!!
 Functions/60236: Find the functions f and g so that the composition of f and g is H. H(x)=cuberoot(x+1)1 solutions Answer 41431 by funmath(2926)   on 2006-11-07 16:08:08 (Show Source): You can put this solution on YOUR website!Find the functions f and g so that the composition of f and g is H. H(x)=cuberoot(x+1) g(x)=x+1 (the inner function) f(x)=cuberoot(x) (the outer function) Sanity Check, does (fog)(x)=H(x)? You decide if I'm crazy or not!!! : Happy Calculating!!!
 Word_Problems_With_Coins/60293: This question is from textbook Elementary and Intermediate Algebra This word problem has to do with coins, but I need to solve it by setting up and solving a system of two linear equations in two variables. Cindy has 43 coins consisting of nickels and dimes. The total value of the coins is \$3.40. How many coins of each kind does she have? I have gotten this far: n + d = 3.40 is that right?1 solutions Answer 41430 by funmath(2926)   on 2006-11-07 16:03:30 (Show Source): You can put this solution on YOUR website!This word problem has to do with coins, but I need to solve it by setting up and solving a system of two linear equations in two variables. Cindy has 43 coins consisting of nickels and dimes. The total value of the coins is \$3.40. How many coins of each kind does she have? : I like to do these in terms of cents to avoid decimals. Let number of nickles be:n Let the number of dimes be:d When we add the coins together we have 43 coins: n+d=43 Nickels are worth 5 cents, so the amount of money in nickels we have is: 5n Dimes are worth 10 cents: 10d Total cents when added together: 5n+10d=340 : E1: n+d=43 E2: 5n+10d=340 Solve E1, for one of the variables like d and substitute into E2 and solve for n. : E1: n+d=43 --> d=43-n 5n+10(43-n)=340 5n+430-10n=340 -5n+430=340 -5n+430-430=340-430 -5n=-90 -5n/-5=-90/-5 n=18 Substitute that into E1 to see how many dimes there were: d=43-18 d=25 There were 18 nickels and 25 dimes. Sanity Check: does 18 nickels and 25 dimes = \$3.40? You decide if we're right. Happy Calculating!!!
 Functions/60237: Find the inverse function of f. State the domain and range of f. f(x) = (3x-2)/(x+5)1 solutions Answer 41423 by funmath(2926)   on 2006-11-07 15:50:37 (Show Source): You can put this solution on YOUR website!Find the inverse function of f. State the domain and range of f. The demoninator cannot = 0, so x+5 cannot =0, x cannot =-5. Therefore the domain is that x is all real numbers except -5. To find the inverse, let f(x)=y Now switch your x and y and solve for y. f^(-1)(x)= <-- this is the inverse function. The range is anything that doesn't make the inverse undefined: y can be all real numbers except y cannot = 3. Happy Calculating!!!
 Equations/60289: This question is from textbook study guide and practice workbook..algebra 1 please help me slove this problem. and explain how to get the answer. i am very confused.. 2/w=x/5;w1 solutions Answer 41419 by funmath(2926)   on 2006-11-07 15:39:33 (Show Source): You can put this solution on YOUR website!2/w=x/5;w You need to solve for w. Cross multiply. Happy Calculating!!!
 Evaluation_Word_Problems/60230: A ball is thrown vertically upward from the ground with an initial speed of 80 ft/sec. Its height is given by h = 80t - 16t2. How high does the ball go? When does the ball hit the ground?1 solutions Answer 41416 by funmath(2926)   on 2006-11-07 15:36:03 (Show Source): You can put this solution on YOUR website!A ball is thrown vertically upward from the ground with an initial speed of 80 ft/sec. Its height is given by h = 80t - 16t2. How high does the ball go? When does the ball hit the ground? When it's on the ground h=0. 0=80t-16t^2 (factor) 0=8t(10-2t) (set each part = to 0) 8t=0 8t/8=0/8 t=0 is when you throw it. 10-2t=0 10-10-2t=0-10 -2t=-10 -2t/-2=-10/-2 t=5 s is when it hits the ground.**** Halfway between those two times is when it's at its peak. t=5/2=2.5 h=80(2.5)-16(2.5)^2 h=200-16(6.25) h=200-100 h=100 ft Is as high as the ball will go.*** Happy Calculating!!!
 Inequalities/60287: This question is from textbook Pre-Algebra Please solve the equation. -3(8x+11)=6(-4x-13). Thanks for the help!1 solutions Answer 41414 by funmath(2926)   on 2006-11-07 15:26:31 (Show Source): You can put this solution on YOUR website!Solve the equation. -3(8x+11)=6(-4x-13). -3(8x)-3(11)=6(-4x)+6(-13) -24x-33=-24x-78 -24x+24x-33=-24x+24x=-78 0-33=0-78 -33=-78 The variable was eliminated and -33 does not = -78. There is no solution. Happy Calculating!!!
 Equations/60161: Can someone help me solve this problem? I need to solve: 6x + 4(3x - 2) = 6x + 2 Thank you so much, Lyn1 solutions Answer 41412 by funmath(2926)   on 2006-11-07 15:23:22 (Show Source): You can put this solution on YOUR website!Hi Lyn, I need to solve: 6x + 4(3x - 2) = 6x + 2 6x+4(3x)+4(-2)=6x+2 6x+12x-8=6x+2 18x-8=6x+2 18x-6x-8=6x-6x+2 12x-8=2 12x-8+8=2+8 12x=10 12x/12=10/12 x=5/6 : Happy Calculating!!!
 Exponential-and-logarithmic-functions/60239: Using the change of base formula logax=lnx/lna, find the derivative of y=log2x^3 1 solutions Answer 41411 by funmath(2926)   on 2006-11-07 15:18:25 (Show Source): You can put this solution on YOUR website!Using the change of base formula logax=lnx/lna, find the derivative of y=log2x^3 ln(2)y'= y'= Happy Calculating!!!
 expressions/60244: This question is from textbook Alegbra Concepts and Applications Find (-8x^2y^3 - 3xy^2) + (5x^2y^3 - xy^2) 1 solutions Answer 41409 by funmath(2926)   on 2006-11-07 15:10:54 (Show Source): You can put this solution on YOUR website! Happy Calculating!!!
 Linear-equations/60281: This question is from textbook How do i write an equation of a line through the given point with the given slope? How do I write it in slope-intercept form?1 solutions Answer 41407 by funmath(2926)   on 2006-11-07 15:06:08 (Show Source): You can put this solution on YOUR website!The point-slope formula is , m=slope and (x1,y1)=given point. If you were asked to write the equation of a line with the slope of -3/5 going through the point (-7,2), you'd do the following. m=-3/5 and (x1,y1)=(-7,2) <----this is slope intercept form Happy Calculating!!!
 Inequalities/60284: This question is from textbook Pre-Algebra Please solve the equation. 14-9x=-8(10+x). Thanks for the help!1 solutions Answer 41406 by funmath(2926)   on 2006-11-07 14:58:59 (Show Source): You can put this solution on YOUR website!Solve the equation. 14-9x=-8(10+x). 14-9x=-8(10)-8(x) 14-9x=-80-8x 14-9x+9x=-80-8x+9x 14=-80+x 14+80=-80+80+x : Check, if x=94, do both sides equal? 14-9(94)=-8(10+94) ? 14-846=-8(104) ? -832=-832 !!! We're right!!! Happy Calculating!!!
 Inequalities/60282: This question is from textbook Pre-Algebra Please solve the equation. 3(-2x+5)=11-4x. Thanks for the help!1 solutions Answer 41403 by funmath(2926)   on 2006-11-07 14:54:00 (Show Source): You can put this solution on YOUR website!Solve the equation. 3(-2x+5)=11-4x. 3(-2x)+3(5)=11-4x -6x+15=11-4x -6x+6x+15=11-4x+6x 0+15=11+2x 15=11+2x 15-11=11-11+2x 4=2x 4/2=2x/2 : Check, if x=2, do both sides equal? 3(-2(2)+5)=11-4(2) ? 3(-4+5)=11-8 ? 3(1)=3 ? 3=3 !!! We're right!!! Happy Calculating!!!
 Equations/60280: This question is from textbook Pre-Algebra Please solve the equation. -6(4x+3)=6(-4x-3). Thanks for the help!1 solutions Answer 41401 by funmath(2926)   on 2006-11-07 14:49:59 (Show Source): You can put this solution on YOUR website!Solve the equation. -6(4x+3)=6(-4x-3). -6(4x)-6(3)=6(-4x)+6(-3) -24x-18=-24x-18 Do you see that the left and right side of the equation are equal? This is an identity, If you continue to try and solve this, you'll get: 0=0. There are infinitely many solutions, some books say that the solution is all real numbers. No matter what you put in for x, both sides will always be equal. Happy Calculating!!!
 Inequalities/60279: This question is from textbook Pre-Algebra Please solve the equation. -15x=-5(3x+7). Thanks for the help!1 solutions Answer 41400 by funmath(2926)   on 2006-11-07 14:46:06 (Show Source): You can put this solution on YOUR website! solve the equation. -15x=-5(3x+7). This is a popular one today. It's tripping people up because there is no solution. -15x=-15x-35 -15x+15x=-15x+15x-35 0=0-35 0=-35 Your variable was eliminated and 0 does not = -35, therefore there is no solution. Happy Calculating!!!
 Linear-equations/60278: This question is from textbook How do I write an equation of a line with the given slope and y-intercept?1 solutions Answer 41399 by funmath(2926)   on 2006-11-07 14:43:01 (Show Source): You can put this solution on YOUR website!How do I write an equation of a line with the given slope and y-intercept? The slope intercept form of a line is: , where m=slope and (0,b)=y-intercept : If you are told that your slope is 7 and your y-intercept is 4 (or (0,4)). Then the equation of the line is: Happy Calculating!!!
 Inequalities/60261: Solve and graph the inequality. express youe answer in interval notation. 4-2x>-4 it should be greater than or equal to symbol;not just a greater than. thanks for your help1 solutions Answer 41398 by funmath(2926)   on 2006-11-07 14:39:41 (Show Source): You can put this solution on YOUR website! Solve and graph the inequality. express youe answer in interval notation. Flip the inequality symbol when you multiply or divide by a negative number. <<========]----------> -1,0,1,2,3,4, 5,6,7,8,9 (-infinity,4] Happy Calculating!!!
 real-numbers/60269: This question is from textbook Alegbra Concepts and Applications Order the numbers -23,15,-13,-2,14-5 from least to greatest1 solutions Answer 41395 by funmath(2926)   on 2006-11-07 14:31:21 (Show Source): You can put this solution on YOUR website!Order the numbers -23,15,-13,-2,14,-5 from least to greatest -23,-13,-5,-2,14,15 The biggest negative number-----> the biggest positive number Happy Calculating!!!
 Inequalities/60275: This question is from textbook Pre-Algebra Please solve the equation. -19x-34=56-x. Thanks for the help!1 solutions Answer 41393 by funmath(2926)   on 2006-11-07 14:27:44 (Show Source): You can put this solution on YOUR website!Please solve the equation. -19x-34=56-x. -19x+19x-34=56-x+19x -34=56+18x -34-56=56-56+18x -90=18x -90/18=18x/18 : Check, if x=-5, do both sides of the equation =? -19(-5)-34=56-(-5) ? 95-34=56+5 ? 61=61!!! We're right!!! Happy Calculating!!!
 absolute-value/60246: This question is from textbook Alegbra Concepts and applications solve : absolute value of b+2 < -11 solutions Answer 41391 by funmath(2926)   on 2006-11-07 14:20:48 (Show Source): You can put this solution on YOUR website!solve : absolute value of b+2 < -1 This one has no solution. The absolute value of anything can never be less than 0, much less less that -1. Absolute values are positive. Happy Calculating!!!
 Inequalities/60274: This question is from textbook Pre-Algebra Please solve the equation. 16x-19=113-6x. Thanks for all the help!1 solutions Answer 41390 by funmath(2926)   on 2006-11-07 14:17:58 (Show Source): You can put this solution on YOUR website!Solve the equation. 16x-19=113-6x. 16x+6x-19=113-6x+6x 22x-19=113 22x-19+19=113+19 22x=132 22x/22=132/22 : Check, if x=6, do both sides =? 16(6)-19=113-6(6) ? 96-19=113-36 ? 77=77 !!! We're right!!! Happy Calculating!!!
 Quadratic_Equations/60270: This question is from textbook Alegbra Concepts and Applications Find 63 divided by (-9)1 solutions Answer 41389 by funmath(2926)   on 2006-11-07 14:12:35 (Show Source): You can put this solution on YOUR website!When the signs are the same divide as usual and the answer is +. When the signs are different divide as usual and the answer is -. Find 63 divided by (-9) Happy Calculating!!!
 Numeric_Fractions/60271: This question is from textbook Alegbra Concetps and applications Find -11/5 + 6/51 solutions Answer 41388 by funmath(2926)   on 2006-11-07 14:10:04 (Show Source): You can put this solution on YOUR website!Find -11/5 + 6/5 Happy Calculating!!!
 Expressions-with-variables/60272: This question is from textbook Alegbra Concepts and applications Evaluate f/4 if f = 1/51 solutions Answer 41387 by funmath(2926)   on 2006-11-07 14:08:18 (Show Source): You can put this solution on YOUR website!Evaluate f/4 if f = 1/5 f/4=f(1/4) If f=1/5, then: Happy Calculating!!!
 Quadratic_Equations/60273: This question is from textbook Alegbra Concetps and applications Solve the equation 3(y-7) = y +31 solutions Answer 41385 by funmath(2926)   on 2006-11-07 14:06:02 (Show Source): You can put this solution on YOUR website!Solve the equation 3(y-7) = y +3 3(y)+3(-7)=y+3 3y-21=y+3 3y-y-21=y-y+3 2y-21=3 2y-21+21=3+21 2y=24 2y/2=24/2 y=12 : Check do both sides equal when y=12? 3(12-7)=12+3 3(5)=15 15=15 We're right!!! Happy Calculating!!!
 expressions/60267: This question is from textbook Alegbra Conepts and applications Simplify 9k-4+2k1 solutions Answer 41381 by funmath(2926)   on 2006-11-07 13:53:38 (Show Source): You can put this solution on YOUR website!Simplify 9k-4+2k You can only combine the k's because they're like terms. 9k+2k-4 (9+2)k-4 11k-4 That's all you can do. Happy Calculating!!!
 Polynomials-and-rational-expressions/60266: This question is from textbook Alegbra Concepts and Applications Which of the following is NOT a member of the set of rational numbers? A. -1 b. 0 c. 1/7 d. square root of 61 solutions Answer 41379 by funmath(2926)   on 2006-11-07 13:51:43 (Show Source): You can put this solution on YOUR website!Which of the following is NOT a member of the set of rational numbers? A. -1 b. 0 c. 1/7 . square root of 6 Rational numbers are numbers that can be expressed as fractions. A. -1=-1/1 -1 is rational b. 0=0/1 0 is rational c.=1/7 is rational d. is NOT rational. : Happy Calculating!!!