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# Recent problems solved by 'funmath'

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 Quadratic_Equations/61508: x(x-4)=-8 What do I do when there is a negative under the square root? Do I use i for imaginary number?1 solutions Answer 42329 by funmath(2925)   on 2006-11-15 07:13:26 (Show Source): You can put this solution on YOUR website!Yes, . : x(x-4)=-8 a=1, b=-4, and c=8 The quadratic formula is: and and and Happy Calculating!!!
 Polynomials-and-rational-expressions/61486: Could someone please help me with the following problem> Factorthe greatest common factor? -24ab2+9ab-12a3b. The 2 and the 3 in this problem are exponents. Any help at all would be appretiated. Thanks1 solutions Answer 42328 by funmath(2925)   on 2006-11-15 07:02:09 (Show Source): You can put this solution on YOUR website!Factor the greatest common factor? : Happy Calculating!!!
 Polynomials-and-rational-expressions/61504: (-2b6 + 3b4 - b2) + (b6 + 2b4 + 2b2). Please show me how to solve adding and subtracting polynomials1 solutions Answer 42327 by funmath(2925)   on 2006-11-15 06:56:23 (Show Source): You can put this solution on YOUR website! : Remember to only add and subtract numbers with the same exact variables raised to the same exact powers. : Happy Calculating!!!
 Polynomials-and-rational-expressions/61506: (8t5 + 3t3 + 5t)-(19t4 -6t2 + t). Please show me how to solve adding and subtracting polynomials. Thanks!1 solutions Answer 42326 by funmath(2925)   on 2006-11-15 06:39:25 (Show Source): You can put this solution on YOUR website!(8t^5 + 3t^3 + 5t)-(19t^4 -6t^2 + t) You can only add and subtract term with the same exact variables raised to the same exact powers. : Happy Calculating!!!
 Inequalities/61459: Help, its going for midnight and We are clueless on this 6< x -6<_ 8 I cant find the right keys but its 6 isd less than x minus 6 less than or equal to 81 solutions Answer 42281 by funmath(2925)   on 2006-11-14 20:25:24 (Show Source): You can put this solution on YOUR website! : Happy Calculating!!!
 Rational-functions/61455: Divide: 5y(to the third) + 6y(squared) -3y divided by -y i'm not sure how to do this even though i'm sure its pretty simple!1 solutions Answer 42279 by funmath(2925)   on 2006-11-14 20:21:36 (Show Source): You can put this solution on YOUR website!Divide: Happy Calculating!!!
 Rational-functions/61457: we have to do long division and show our work i've done some but I think i might of messed up: problem: x(to third) + x(squared) -4x - 4 divided by x+21 solutions Answer 42277 by funmath(2925)   on 2006-11-14 20:15:45 (Show Source): You can put this solution on YOUR website!we have to do long division and show our work i've done some but I think i might of messed up: problem: x(to third) + x(squared) -4x - 4 divided by x+2 I am limited in my ability to show you long division by Java Script, but this one can be solved without long division. (x+1)(x-2) : Happy Calculating!!!
 Surface-area/61384: This question is from textbook An Incremental Development The surface of a sphere is 86 pie ft^2? what is the diameter of the sphere?1 solutions Answer 42273 by funmath(2925)   on 2006-11-14 19:58:42 (Show Source): You can put this solution on YOUR website!The surface of a sphere is 86 pie ft^2? what is the diameter of the sphere? The formula for the surface area of a sphere is ft^2 Diameter = 2*radius d=9.2736 ft : You can substitute r=d/2 into the formula and reduce your formula: substitute into the formula and solve for d. ft That's as pretty as I can make it. If you put that in your calculator, you'll see it's the same answer. Happy Calculating
 Linear-equations/61449: How do you find the slope of a line through (1,3) and (-2,5) Also, how do you find the slope of a parallel line passing (1,5) and (-1,0)1 solutions Answer 42272 by funmath(2925)   on 2006-11-14 19:46:49 (Show Source): You can put this solution on YOUR website!How do you find the slope of a line through (1,3) and (-2,5) The slope formula is: , m=slope and (x1,y1) and (x2,y2) are given points. (x1,y1)=(1,3) and (x2,y2)=(-2,5) : Also, how do you find the slope of a parallel line passing (1,5) and (-1,0) Parallel lines have equal slopes, so use the slope formula to find the slope between these two points and it will be the same as the line parallel to this one. (x1,y1)=(1,5) and (x2,y2)=(-1,0) : Happy Calculating!!!
 Pythagorean-theorem/61445: A right triangle has legs of lengths 6 and 8. the altitude to the hypotenuse has length BLANK.1 solutions Answer 42270 by funmath(2925)   on 2006-11-14 19:39:03 (Show Source): You can put this solution on YOUR website!A right triangle has legs of lengths 6 and 8. the altitude to the hypotenuse has length BLANK. : If I'm understanding you correctly, you are trying to find the length of the hypotenuse of a right triangle. We can use the pythagorean theorem to find that: , c=hypotenuse, a,b=legs : Happy Calculating!!!
 Linear-equations/61440: How do you graph a line that has a slope of -3 and passes through (0,3)?1 solutions Answer 42269 by funmath(2925)   on 2006-11-14 19:33:27 (Show Source): You can put this solution on YOUR website!How do you graph a line that has a slope of -3 and passes through (0,3)? : Plot the y-intercept (0,3), it's up 3 on the y-axis. , go down 3 and right 1 and plot a second point on what should be (1,0). Connect the points and you have a line that looks like: Happy Calculating!!!
 expressions/61421: x+7+41 solutions Answer 42268 by funmath(2925)   on 2006-11-14 19:27:40 (Show Source): You can put this solution on YOUR website!You can only add like terms. x+7+4 x+(7+4) x+11 : That's all you can do. Happy Calculating!!!
 Linear_Equations_And_Systems_Word_Problems/61431: This question is from textbook INTRODUCTORY ALGEBRA You purchase a prepaid telephone card. The card costs \$12.00. Each minute you use costs \$0.30. a)Determine the slope of the line that models these points. b)Find the equation of the line for this graph. 1 solutions Answer 42267 by funmath(2925)   on 2006-11-14 19:18:51 (Show Source): You can put this solution on YOUR website!You purchase a prepaid telephone card. The card costs \$12.00. Each minute you use costs \$0.30. a)Determine the slope of the line that models these points. The variable cost is the slope, m=.30 b)Find the equation of the line for this graph. The fixed cost is, b=12 The slope intercept form of a line is y=.30x+12 : Happy Calculating!!!
 Equations/61423: -3x + 1/3=1/41 solutions Answer 42266 by funmath(2925)   on 2006-11-14 19:15:24 (Show Source): You can put this solution on YOUR website!-3x + 1/3=1/4 If you really hate fractions, we can get rid of them by multiplying both sides by the LCD, 12: : Happy Calculating!!!
 Distributive-associative-commutative-properties/61429: This question is from textbook Prentice Hall Mathematics Pre-Algebra What is meant when the instructions say to "Justify each step"?1 solutions Answer 42265 by funmath(2925)   on 2006-11-14 19:10:07 (Show Source): You can put this solution on YOUR website!I don't have your book, but a lot of times that means to state the property you used for each step. There are associative properties, inverse properties, commutative properties, distributive properties, that kind of thing. Remember, I'm taking an educated guess because I don't have your book. Happy Calculating!!!
 Equations/61425: This question is from textbook indiana perental hall mathmatics algebra 1 5(2+y)=77 ?1 solutions Answer 42264 by funmath(2925)   on 2006-11-14 19:06:31 (Show Source): You can put this solution on YOUR website!5(2+y)=77 ? 5(2)+5(y)=77 10+5y=77 -10+10+5y=77-10 5y=67 5y/5=67/5 : Check for accuracy, if y=67/5 does the equation equal? 5(2+67/5)=77 5(2)+5(67/5)=77 10+67=77 77=77 we're right! Happy Calculating!!!
 Linear-equations/61427: How do you change y-2=-4(x+1)into slope-intercept form ?1 solutions Answer 42263 by funmath(2925)   on 2006-11-14 19:01:47 (Show Source): You can put this solution on YOUR website!How do you change y-2=-4(x+1)into slope-intercept form ? Slope intercept form is: , m=slope and (0,b)=y-intercept. y-2=-4x-4 y-2+2=-4x-4+2 Happy Calculating!!!
 Numeric_Fractions/61412: 2/5 divided by 1/5 multiplied by {-5-(-1)-2}. I can't figure out how to do the problem. 1 solutions Answer 42262 by funmath(2925)   on 2006-11-14 17:57:57 (Show Source): You can put this solution on YOUR website!2/5 divided by 1/5 multiplied by {-5-(-1)-2} 2/5 divided by 1/5 {-5+1-2} Parentheses first 2/5 divided by 1/5 (-6) Multiply and divide left to right. (Flip the number fraction behind the division symbol and multiply.) Happy Calculating!!!
 Polynomials-and-rational-expressions/61405: It says to simplify: a\/8-3\/2a^2 (\/ is a radical sign) I have come to the conclusion that this can not be simplified! Am I right? Thanks for your input! ac1 solutions Answer 42261 by funmath(2925)   on 2006-11-14 17:51:13 (Show Source): You can put this solution on YOUR website!Hi ac, It says to simplify: : Happy Calculating!!!
 Numeric_Fractions/61410: How could I possibly solve these? I've heard there is a "long way" and a "short way" v - 6 = 23 2T + 5T - 3 = 11 X + 9 = 21 - 41 solutions Answer 42260 by funmath(2925)   on 2006-11-14 17:46:31 (Show Source): You can put this solution on YOUR website!v - 6 = 23 v-6+6=23+6 v=29 : Check does the equation = when v=29? 29-6=23 23=23 We're right!!! : 2T + 5T - 3 = 11 7T-3=11 7T-3+3=11+3 7T=14 7T/7=14/7 T=2 : Check does the equation = when T=2? 2(2)+5(2)-3=11 4+10-3=11 11=11 We're right again!!! : : Check does the equation = when x=48? 12+9=21 21=21 We're right agian!!! : Don't try and do short cuts until you have the basics down, otherwise, when the problems get harder, you won't be able to do them and you'll get behind quickly. Happy Calculating!!!
 Numbers_Word_Problems/61402: This question is from textbook An Incremental Development Find three consecutive odd integers such that three times the sum of the first and third is 18 greater than 4 times the second1 solutions Answer 42259 by funmath(2925)   on 2006-11-14 17:37:44 (Show Source): You can put this solution on YOUR website!Find three consecutive odd integers such that three times the sum of the first and third is 18 greater than 4 times the second Odd numbers are 2 apart from each other: 1,3,5,7... 1,1+2,1+2+2,1+2+2+2 : Let the first number be: x Then the second will be: x+2 Then the third will be:x+2+2=x+4 "3 times" means 3* "sum" means + "is" means = "18 greater" means +18 "4 times" means 4* : 3(x+x+4)=4(x+2)+18 3(2x+4)=4x+8+18 6x+12=4x+26 6x-4x+12=4x-4x+26 2x+12=26 2x+12-12=26-12 2x=14 2x/2=14/2 x=7 The first number is: x=7 The second number is: x+2=7+2=9 The third number is: x+4=7+4=11 : Sanity Check, does 3 times the sum of the first and third number=4 time the second +18? 3(7+11)=4(9)+18 3(18)=36+18 54=54 Looks valid. : Happy Calculating!!!
 Numbers_Word_Problems/61408: Find the constant term that should be added to make the following expression a perfect-square trinomial. x^2-5x I got: 5/2 Is this right? Thanks for your help! CH1 solutions Answer 42258 by funmath(2925)   on 2006-11-14 17:26:14 (Show Source): You can put this solution on YOUR website!Hi CH, You're almost right. Find the constant term that should be added to make the following expression a perfect-square trinomial. x^2-5x : Happy Calculating!!!
 Angles/61401: This question is from textbook An Incremental Development If P is the measure of an angle, 180 - p is the measure of the supplemen of the angle. If the measure of an angle equals three times the measure of its supplement, what is the measure of the angle?1 solutions Answer 42257 by funmath(2925)   on 2006-11-14 17:08:51 (Show Source): You can put this solution on YOUR website!If P is the measure of an angle, 180 - p is the measure of the supplemen of the angle. If the measure of an angle equals three times the measure of its supplement, what is the measure of the angle? Let the supplement be: x Then the angle is: 3x Total when added: 180 x+3x=180 4x=180 4x/4=180/4 x=45 The supplement is: x=45 degrees The angle is: 3x=3(45)=135 degrees. : Sanity Check: If you add these two angles together, do you get 180? 45+135=180? 180=180!!! Looks Valid. Happy Calculating!!!
 Distributive-associative-commutative-properties/61400: This question is from textbook An Incremental Development Expand ab/m(-2m^-2/ba + 3m/a^-1b)1 solutions Answer 42256 by funmath(2925)   on 2006-11-14 17:00:24 (Show Source): You can put this solution on YOUR website!Expand Cancel terms that match top to bottom. Happy Calculating!!!
 Equations/61397: This question is from textbook An Incremental Development solve 0.004x + 0.5 = 3.051 solutions Answer 42255 by funmath(2925)   on 2006-11-14 16:51:49 (Show Source): You can put this solution on YOUR website!solve 0.004x + 0.5 = 3.05 If you absolutely hate decimals, multiply everything by 1000 to clear the decimals. 1000(0.004x+0.5)=1000(3.05) 4x+500=3050 4x+500-500=3050-500 4x=2550 4x/4=2550/4 : If decimals don't bother you too much: 0.004x+0.5-0.5=3.05-0.5 0.004x=2.55 0.004x/0.004=2.55/0.004 : Happy Calculating!!!
 Polynomials-and-rational-expressions/61392: V^2-22V-75 1 solutions Answer 42254 by funmath(2925)   on 2006-11-14 16:46:04 (Show Source): You can put this solution on YOUR website!V^2-22V-75 (V___)(V___) Fill the blanks with two numbers that multiply to give you -75, but add to give you -22: -25*3=-75 -25+3=-22 Happy Calculating!!!
 Expressions-with-variables/61386: This question is from textbook an incremental development Evaluate xy^2(xy-x^2) if x = -1/3 and y = 1/61 solutions Answer 42253 by funmath(2925)   on 2006-11-14 16:41:27 (Show Source): You can put this solution on YOUR website!xy^2(xy-x^2) if x = -1/3 and y = 1/6 Happy Calculating!!!
 Equations/61356: 2(x-3)=x+31 solutions Answer 42231 by funmath(2925)   on 2006-11-14 14:56:12 (Show Source): You can put this solution on YOUR website!2(x-3)=x+3 2(x)+2(-3)=x+3 2x-6=x+3 2x-x-6=x-x+3 x-6=3 x-6+6=3+6 : Check, if x=9, do both sides =? 2(9-3)=9+3 2(6)=12 12=12 Yes!!! We're right!!! Happy Calculating!!!
 Evaluation_Word_Problems/61357: ISBN 1 902 214 13X - Essential Mathematics Book 8 - David Rayner The height of a balloon increases at a steady rate of x metres in t hours. How far will the balloon rise in one hour? How far will the balloon rise in 4 hours?1 solutions Answer 42229 by funmath(2925)   on 2006-11-14 14:53:38 (Show Source): You can put this solution on YOUR website!The height of a balloon increases at a steady rate of x metres in t hours. How far will the balloon rise in one hour? How far will the balloon rise in 4 hours? h=xt In one hour: h=x(1) h=x meters In 4 hours: h=x(4) h=4x meters : Happy Calculating!!!
 Travel_Word_Problems/61354: A river boat can head 340 miles up-river in 19 hours, but the return trip takes only 14 hours. Find the current of the river and find the speed of the ship in still water to the nearest tenth of a mph. (Should X equal the speed of the ship? Or the current of the river? Or both?) Okay I am stuck any help would be greatly appreciated. Thank-You. 1 solutions Answer 42228 by funmath(2925)   on 2006-11-14 14:50:41 (Show Source): You can put this solution on YOUR website!A river boat can head 340 miles up-river in 19 hours, but the return trip takes only 14 hours. Find the current of the river and find the speed of the ship in still water to the nearest tenth of a mph. : The distance formula is:, d=distance, r=rate, t=time : Let x=speed of the boat let c=speed of the current : The rate upstream is: x-c time upstream is: 19 hrs The rate down stream is: x+c time downstream is: 14 Distance for both is: 340 mi : The equation for upstream is: 19(x-c)=340 The equation for down stream is: 14(x+c)=340 : Solve one of the equations for c and substitute it into the other and solve for x. 19x-19c=340 -19x+19x-19c=-19x+340 -19c=-19x+340 : The boat would be going 21.1 mph in still water. Happy Calculating!!!
 Linear-equations/61350: y=1\2x-3. the slope is1 solutions Answer 42224 by funmath(2925)   on 2006-11-14 14:15:20 (Show Source): You can put this solution on YOUR website!The slope inteercept form of a line is , m=slope, and (0,b)=y-intercept. y=1\2x-3. the slope is , the slope, m=1/2 Happy Calculating!!!