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# Recent problems solved by 'checkley77'

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 Quadratic_Equations/165013: slove for x in x^2+6x+4=01 solutions Answer 121644 by checkley77(12569)   on 2008-10-31 11:14:57 (Show Source): You can put this solution on YOUR website!x^2+6x+4=0 x=(-6+-sqrt[6^2-4*1*4])/2*1 x=(-6+-sqrt[36-16])/2 x=(-6+-sqrt20)/2 x=(-6+-4.472)/2 x=(-6+4.472)/2 x=-1.526/2 x=-.764 answer. x=(-6-4.472)/2 x=-10.472/2 x=-5.236 answer.
 Miscellaneous_Word_Problems/165041: Two numbers are mirror numbers if one can be obtained from the other by reversing the order of the digits, for example, 275 and 572. Find two mirror numbers whose product is 53,703.1 solutions Answer 121643 by checkley77(12569)   on 2008-10-31 11:07:23 (Show Source): You can put this solution on YOUR website!Trial & error method. Started with the square root=231.739. This indicted the numbers had to be 1, 2 or 3 for the first & last. The rest was easy. 153*531=53,703
 Quadratic-relations-and-conic-sections/165035: This question is from textbook f(x)= -2x^2 + 6x - 1 Find the vertex and the axis of symmetry and points. many thanks!1 solutions Answer 121641 by checkley77(12569)   on 2008-10-31 10:56:12 (Show Source): You can put this solution on YOUR website!f(x)=-2x^2+6x-1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x^2 +6x -1). Vertex (1.5,3.5) Axis x=1.5 Points (0,-1) (1,3)
 Probability-and-statistics/164974: Can you please explain. The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”?1 solutions Answer 121593 by checkley77(12569)   on 2008-10-30 20:05:28 (Show Source): You can put this solution on YOUR website!1/4,000,000=x/50,000 4,000,000x=50,000 x=50,000/4,000,000 x=.0125 chances of having an accident or 1.25%. This assumes that the average length of the 4,000,000 & the 50,000 trips are about the same length/time.
 Inequalities/164975: 6-11b(less than or equal to)-3(negative 3)1 solutions Answer 121592 by checkley77(12569)   on 2008-10-30 20:01:26 (Show Source): You can put this solution on YOUR website!6-11b<=-3 -11b<=-3-6 -11b<=-9 b>=-9/-11 (note: the < sign changes to a > sign when dividing by a negative value). b>=9/11 answer. Proof: Let b=10/11 6-11*10/11<=-3 6-10<=-3 -4<=-3
 Inequalities/164936: Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number. 11x + 3 – 13x – 7 < 2(5 + 4x) 1 solutions Answer 121581 by checkley77(12569)   on 2008-10-30 18:06:04 (Show Source): You can put this solution on YOUR website!11x+3–13x–7<2(5+4x) -3x-4<10+8x -3x-8x<10+4 -11x<14 x>14/-11 dividing by a negative value changes the < sign to a > sign. x>-14/11 Proof: Let x=-13/11 11*-13/11+3-13*-13/11-7<2(5+4*-13/11) -13+3+169/11-7<2(5-52/11) -17+169/11<10-104/11 -17+15.3636<10-9.4545 -1.6364<-.5454
 test/164959: This question is from textbook Elementary and Intermediate 14.) Solve each equation by using the quadratic formula -8q^2-2q+1=0 1 solutions Answer 121579 by checkley77(12569)   on 2008-10-30 17:54:26 (Show Source): You can put this solution on YOUR website!-8q^2-2q+1=0 q=(2+-sqrt[-2^2-4*-8*1])/2*-8 q=(2+-sqrt4+32)/-16 q=(2+-sqrt36)/-16 q=(2+-6)/-16 q=(2+6)/-16 q=(8/-16 q=-1/2 answer. q=(2-6)/-16 q=-4/-16 q=1/4 answer.
 Geometry_Word_Problems/164951: order these from least to grestest 2/5 3/4 2/31 solutions Answer 121574 by checkley77(12569)   on 2008-10-30 17:23:14 (Show Source): You can put this solution on YOUR website!2/5=.4 3/4=.75 2/3=.6667 2/5, 2/3, 3/4 .4, .667, .75
 Inequalities/164952: I have to graph and write the following as an inequality and i think i know but im not sure if im right. to get a b in english class you must have an 85% or higher but less than a 93%1 solutions Answer 121571 by checkley77(12569)   on 2008-10-30 17:17:58 (Show Source): You can put this solution on YOUR website!85 < b > 93 inequality. no graph.
 Equations/164805: This question is from textbook can someone please help: Find the exact interest. Use 365 days in a year, and use the exact number of days in a month. Round to the nearest cent, if necessary. \$1300 at 10% for 114 days a. \$4.06 b. \$41.17 c. \$4.12 d. \$40.601 solutions Answer 121569 by checkley77(12569)   on 2008-10-30 17:12:55 (Show Source): You can put this solution on YOUR website!1,3009(.1*.3123287)^1 1,300(.03123287) 1,300*.03123287=\$40.60 answer D).
 Travel_Word_Problems/164878: A man travels for work averaging 40 mph.On the return trip he averages 50 mph, and it takes him an hour less time. How long was the return trip?1 solutions Answer 121566 by checkley77(12569)   on 2008-10-30 16:58:58 (Show Source): You can put this solution on YOUR website!D=40T D=50(T-1) 40T=50(T-1) 40T=50T-50 -10T=-50 T=-50/-10 T=5 HOURS. PROOF: D=40*5=200 MILES. D=50(5-1)=50*4=200 MILES.
 Equations/164937: Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number. 2(x + 3) > 20 1 solutions Answer 121563 by checkley77(12569)   on 2008-10-30 16:50:28 (Show Source): You can put this solution on YOUR website!2(x+3)>20 2X+6>20 2X>20-6 2X>14 X>14/2 X>7 ANSWER. PROOF: LETX=7.1 2(7.1+3)>20 2*10.1>20 20.2>20
 Number-Line/164939: Use the midpoint formula to find the midpoint of a line segment with endpoints: (2, 7) and (-4, 1)1 solutions Answer 121560 by checkley77(12569)   on 2008-10-30 16:47:20 (Show Source): You can put this solution on YOUR website!(2, 7) and (-4, 1) x=(-4-2)/2=-6/2=-3 2-3=-1 ANSWER FOR THE X VALUE. Y=(7-1)/2=6/2=3 7-3=4 ANSWER FOR THE Y VALUE. ANSWER(-1,4) IS THE MID POINT.
 Linear-systems/164944: One number is 12 more than the other. The sum of the smaller number and twice the larger number is 39. Find the larger number.1 solutions Answer 121557 by checkley77(12569)   on 2008-10-30 16:41:54 (Show Source): You can put this solution on YOUR website!x & x+12 are the 2 numbers. x+2(x+12)=39 x+2x+24=39 3x=39-24 3x=15 x=15/3 x=5 is the smaller number. 5+12=17 for the larger number.
 Radicals/164946: I tried to solve myself but not sure where how to arrive at answer. Please help. The average (mean) cost for a service club to publish a directory of its members is given by the rational function f(x)= 1.1x+700/x where x is the number of directories printed. Find the average cost per directory for x = 500. 1 solutions Answer 121555 by checkley77(12569)   on 2008-10-30 16:38:51 (Show Source): You can put this solution on YOUR website!f(x)= 1.1x+700/x f(500)=1.1*500+700/500 f(500)=550+1.4 f(500)=\$551.40 cost of each directory.
 Linear-systems/164945: What is the formula for perimeter of a rectangle.1 solutions Answer 121552 by checkley77(12569)   on 2008-10-30 16:35:45 (Show Source): You can put this solution on YOUR website!Perimeter=2*length+2*width P=2L+2W
 Linear-equations/164890: 92. Investing her bonus. Donna invested her \$33,000 bonus and received a total of \$970 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest at each rate? 1 solutions Answer 121550 by checkley77(12569)   on 2008-10-30 15:48:52 (Show Source): You can put this solution on YOUR website!.04x+.0225(33,000-x)=970 .04x+742.5-.0225x=970 .0175x=970-742.5 .0175x=227.5 x=227.5/.0175 x=13,000 amount invested @ 4%. 33,000-13,000=20,000 invested @ 2.25%. Proof: .04*13,000+.0225*20,000=970 520+450=970 970=970
 test/164914: This question is from textbook Elementary and Intermediate 10.) Solve each equation by using the quadratic formula x^2+4x+3=0 1 solutions Answer 121549 by checkley77(12569)   on 2008-10-30 15:41:40 (Show Source): You can put this solution on YOUR website!x^2+4x+3=0 x=(-4+-sqt[4^2-4^2-4*1*3])/2*1 x=(-4+-sqrt16-12)/2 x=(4+-sqrt4)/2 x=(4+-2)/2 x=(4+2)/2 x=6/2=3 answer. x=(4-2)/2 x=2/2=1 answer.
 Linear-systems/164929: solve the system 4x+9y=5 2x-6y=-11 solutions Answer 121548 by checkley77(12569)   on 2008-10-30 15:37:40 (Show Source): You can put this solution on YOUR website!4x+9y=5 2x-6y=-1 multiply this equation by -2 & add. -4x+12y=2 4x+9y=5 ------------------ 21y=7 y=7/21 y=1/3 answer. 4x+9*1/3=5 4x+9/3=5 4x+3=5 4x=5-3 4x=2 x=2/4 x=1/2 answer. Proof: 2*1/2-6*1/3=-1 1-6/3=-1 1-2=-1 -1=-1
 Equations/164933: The formaul for intrest is I=prt. If p=\$3500,t=2yrs, I=\$595, find R1 solutions Answer 121547 by checkley77(12569)   on 2008-10-30 15:32:44 (Show Source): You can put this solution on YOUR website!I=prt p=\$3500,t=2yrs, I=\$595, find R 595=3,500*r*2 595=7,000r r=595/7,000 r=.085 or 8.5% is the interest rate.
 Equations/164932: There wewe 723 babies born last december there were 215 more girls than boys. How many of each were born?1 solutions Answer 121546 by checkley77(12569)   on 2008-10-30 15:29:31 (Show Source): You can put this solution on YOUR website!x+x+215=723 2x=723-215 2x=508 x=508/2 x=254 boys. 254+215=469 girls. Proof 254+469=723 723=723
 test/164916: This question is from textbook Elementary and Intermediate 30.) Solve each equation by using the quadratic formula -3x^2-2x-5=0 1 solutions Answer 121545 by checkley77(12569)   on 2008-10-30 15:24:30 (Show Source): You can put this solution on YOUR website!-3x^2-2x-5=0 x=(2+-sqrt[-2^2-4*-3*-5])/2*-3 x=(2+-sqrt[4-60])/-6 x=(2+-sqrt-56)/-6 x=(2+-7.48i)/-6 x=2/-6+-7.48i/-6 x=-1/3 +-1.24i answers.
 Graphs/164922: draw a graph of the following equations a)y=3/2x-3 b)y=-x+4 c)y=2/3x+3 d)y=-4x-11 solutions Answer 121544 by checkley77(12569)   on 2008-10-30 15:12:20 (Show Source): You can put this solution on YOUR website!a)y=3/2x-3 (red line) b)y=-x+4 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/2 -3 and -x +4). -------------------------------------- c)y=2/3x+3 (red line) d)y=-4x-1 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x/3 +3 and -4x -1).
 Polynomials-and-rational-expressions/164925: simplify. only positive exponents (2y)^-3 over (x^5 y^5)^-21 solutions Answer 121543 by checkley77(12569)   on 2008-10-30 15:07:16 (Show Source): You can put this solution on YOUR website!(2y)^-3/(x^5 y^5)^-2 (x^5y^5)^2/8y^3 (x^10y^10/8y^3 x^10y^7/8 answer.
 Numbers_Word_Problems/164927: Find two consecutive odd intergers such that the sum of the smaller and twice the larger is 791 solutions Answer 121542 by checkley77(12569)   on 2008-10-30 15:02:32 (Show Source): You can put this solution on YOUR website!Let x & x+2 be the 2 integers. x+2(x+2)=79 x+2x+4=79 3x=79-4 3x=75 x=75/3 x=25 answer for the smaller integer. 25+2=27 is the larger integer. Proof: 25+2*27=79 25+54=79 79=79
 Miscellaneous_Word_Problems/164871: This question is from textbook Elementary and Intermediate Algebra, 3e Brandon gets a 40% discount on loose diamonds where he works. The cost of the setting is \$250. If he plans to spend at most \$1450, then what is the price range of the diamonds that he can affors. The question can be found in Elementary and Intermediate Algebra, 3e ISBN number 9780073533490 page 168 number 21 1 solutions Answer 121502 by checkley77(12569)   on 2008-10-30 10:25:27 (Show Source): You can put this solution on YOUR website!Assuming no discount for the setting. 250+.6x<=1,450 .6x<=1,450-250 .6x<=1,200 x<=1,200/.6 x<=\$2,000 for the loose diamond.
 Radicals/164784: Factor out the greatest common factor. 5x^6*20x^5+25x^4 The factorization is _ (answer in factored form)1 solutions Answer 121500 by checkley77(12569)   on 2008-10-30 10:16:33 (Show Source): You can put this solution on YOUR website!5x^6-20x^5+25x^4 5x^4(x^2-4x+5) answer.
 Percentage-and-ratio-word-problems/164798: Of the \$50,000 that Natasha pocketed on her last real estate deal, \$20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16% and the rest in Templeton Growth Fund with an annual yield of 25%. If she made \$6060 on these investments in 1 year, then how much did she invest in each fund?1 solutions Answer 121499 by checkley77(12569)   on 2008-10-30 10:11:45 (Show Source): You can put this solution on YOUR website!50,000-20,000=30,000 for her investments. .25x+.16(30,000-x)=6,060 .25x+4,800-.16x=6,060 .09x=6,060-4,800 .09x=1,260 x=1,260/.09 x=14,000 invested @ 25%. 30,000-14,000=16,000 invested @ 16%. Proof: .25*14,000+.16*16,000=6,060 3,500+2,560=6,060 6,060=6,060
 Linear-equations/164847: please help graph both on same graph. x-y<10 x+y≤81 solutions Answer 121497 by checkley77(12569)   on 2008-10-30 10:00:54 (Show Source): You can put this solution on YOUR website!x-y<10 or -y<-x+10 or y>x-10 (red line) x+y≤8 or y<=-x+8 (green line) (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, of TWO functions x -10 and -x +8). Answer=(9,-1)
 decimal-numbers/164760: This question is from textbook harcourt math workbook Find the value of n 10xn=8 1 solutions Answer 121433 by checkley77(12569)   on 2008-10-29 21:29:19 (Show Source): You can put this solution on YOUR website!10xn=8 n=8/10x n=4/5x answer.
 Radicals/164766: Find the following sixteenth root(-4)^16 Is this correct 41 solutions Answer 121432 by checkley77(12569)   on 2008-10-29 21:27:41 (Show Source): You can put this solution on YOUR website!16thrt(-4)^16 16thrt(4,294,967,296) 4 is the answer.