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Quadratic_Equations/139321: 4x-3x-1/2=3x+1/2-22x-1 1 solutions Answer 101618 by checkley77(12569)   on 2008-04-30 15:28:09 (Show Source): You can put this solution on YOUR website! 4x-3x-1/2=3x+1/2-22x-1 x-.5=-19x-.5 x+19x=0 x=0 answer.

Quadratic_Equations/139337: Help me translate this into a quadratic equation and solve. Thanks! Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers. 1 solutions Answer 101614 by checkley77(12569)   on 2008-04-30 15:21:15 (Show Source): You can put this solution on YOUR website! LET X, X+2, & X+4 BE THE 3 CONSECUTIVE EVEN INTEGERS. (X+4)^2=(X+2)^2+76 X^2+8X+16=X^2+4X+4+76 8X-4X=4+76-16=0 4X=64 X=64/4 X=16 ANSWER. 16+2=18 FOR THE MIDDLE NUMBER. 16+4=20 FOR THE THIRD NUMBER. PROOF: 20^2=18^2+76 400=324+76 400=400

Money_Word_Problems/139345: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance, therfore the cost of food for each member increased by $5. How many students attended the get-together? 1 solutions Answer 101608 by checkley77(12569)   on 2008-04-30 14:55:30 (Show Source): You can put this solution on YOUR website! 500/X=500/(X-5)-5 500/X=(500-5[X-5])/(X-5) 500/X=(500-5X+25]/(X-5) X(500-5X+25)=500(X-5) 500X-5X^2+25X=500X-2500 -5X^2+25X+2500=0 -5(X^2-5X-500)=0 5(X-25)(X+20)=0 X-25=0 X=25 ANSWER. PROOF: 500/25=500/(25-5)-5 20=500/20-5 20=25-5 20=20

Travel_Word_Problems/139346: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle? 1 solutions Answer 101606 by checkley77(12569)   on 2008-04-30 14:37:11 (Show Source): You can put this solution on YOUR website! 600/X-600/(X+20)=1 (600[X+20]-600*X)/X(X+20)=1 (600X+12000-600X)/(X^2+20X)=1 NOW CROSS MULTIPLY X^2+20X=12,000 X^2+20X-12,000=0 (X+120)(X-100)=0 X-100=0 X=100 SPEED OF THE TRIP. PROOF: 600/100-600/120=1 6-5=1 1=1

Travel_Word_Problems/139347: Rita rows 12km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9km/hour. Find the speed of the stream. 1 solutions Answer 101605 by checkley77(12569)   on 2008-04-30 14:27:12 (Show Source): You can put this solution on YOUR website! 12/(9-X)+12/(9+X)=3 (12[9+X]+12[9-X])/(9-X)(9+X)=3 (108+12X+108-9X)/(81-X^2)=3 NOW CROSS MULTIPLY. 3(81-X^2)=108+12X+108-9X 243-3X^2=216+3X -3X^2-3X+243-216=0 -3X^2-3X+27=0 -3(X^2+X-9)=0 USING THE QUADRATIC EQUATION WE GET: X=(-1+-SQRT[1^1-4*1*-9])/2*1 X=(-1+-SQRT[1+36)/2 X=(-1+-SQRT37)/2 X=(-1+-6.083)/2 X=(-1+6.083)/2 X=5.083/2 X=2.54 ANSWER FOR THE SPEED OF THE CURRENT. PROOF: 12/(9-2.54)+12/(9+2.54)=3 12/6.45+12/11.54=3 1.86+1.04=3 2.9~3

Volume/139359: A rectangular peice of sheet metal measures 26 in. by 20 in. A square measuring 2 in. by 2 in. is cut out of each corner, and the sides are folded to form a box. What is the volume of the box? Please help because this is really difficult!!!!!!!!!! 1 solutions Answer 101603 by checkley77(12569)   on 2008-04-30 14:00:31 (Show Source): You can put this solution on YOUR website! THE BEST WAY TO MANAGE THESE TYPE OF PROBLEMS IS TO DRAW A SKETCH OF THE 26 BY 20 IN SHEET METAL AND THE 4 CORNERS CUT OUT. ------------------------------------------------------------------------------ 26 IN. BY 20 IN. PIECE OF SHEET METAL WITH 2 IN. CORNERS CUT OUT NOW HAS A LENGTH OF 26-4=22 IN. & 20-4=16 IN. FOR THE WIDTH & 2 IN. FOR THE HEIGHT. THE VOLUME OF THIS BOX IS: 22*16*2=704 IN^3.

Equations/139364: 4x+2y=8 x+3y=7 1 solutions Answer 101601 by checkley77(12569)   on 2008-04-30 13:53:33 (Show Source): You can put this solution on YOUR website! 4x+2y=8 x+3y=7 MULTIPLY THIS EQUATION BY -4 & ADD THEM *********************************************** 4X+2Y=8 -4X-12Y=-28 ----------------------- -10Y=-20 Y=-20/-10 Y=2 ANSWER. 4X+2*2=8 4X+4=8 4X=8-4 4X=4 X=4/4 X=1 ANSWER.

Linear-equations/139363: the graphic 2x-3y=o y=x-1 1 solutions Answer 101600 by checkley77(12569)   on 2008-04-30 13:50:44 (Show Source): You can put this solution on YOUR website! 2x-3y=0 -3Y=-2X Y=-2X/3 (RED LINE) y=X-1 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -2x/3 and x -1). ANSWER (3/5,-2/5)

Equations/139365: 3x+2y=1 4x+4y=4 1 solutions Answer 101599 by checkley77(12569)   on 2008-04-30 13:42:22 (Show Source): You can put this solution on YOUR website! 3x+2y=1 MULTIPLY THIS EQUATION BY -2 & ADD THEM. ************************************************* 4x+4y=4 -6X-4Y=-2 ------------------------------- -2X=2 X=2/-2 X=-1 ANSWER. 3*-1+2Y=1 -3+2Y=1 2Y=1+3 Y=2 Y=4/2 Y=2 ANSWER.

test/139362: This question is from textbook MASTER THE GED IT IS A VERBAL STRATEGIES CIRCUMFERENCE: THE CIRCUMFERENCE OF THE CLOCK WAS 42 INCHES. FIND THE DIAMETER IN INCHES. (1) 7.5 (2) 13.4 (3) 38.9 (4) 45.14 (5) 131.9 1 solutions Answer 101598 by checkley77(12569)   on 2008-04-30 13:36:22 (Show Source): You can put this solution on YOUR website! CIRCUMFERENCE=42 INCHES 2PI*R=42 2*3.14*R=42 6.28R=42 R=42/6.28 R=6.69 IS THE RADIUS. 2*6.69=13.38 INCHES IS THE DIAMETER OF THE CLOCK. ANSWER 2) 13.4 IS THE CORRECT ANSWER.

test/139221: Taya and Jed collect coins. The ratio of the number of coins in their collections, in some order, is 4 to 3. If Taya has 60 coins in her collection, how many coins could Jed have? 1 solutions Answer 101528 by checkley77(12569)   on 2008-04-29 18:36:35 (Show Source): You can put this solution on YOUR website! 4/3=60/x 4x=3*60 4x=180 x=180/4 x=45 coins for Jed.

Quadratic_Equations/139225: This question is from textbook McDougal Littell Algebra 1 I cannot understand how to solve the quadratic equation: -1+3x^2=2x I need to use the quadratic formula. My teacher wants us to leave it under the radical symbol if it is not a perfect square. 1 solutions Answer 101527 by checkley77(12569)   on 2008-04-29 18:33:39 (Show Source): You can put this solution on YOUR website! -1+3x^2=2x 3x^2-2x-1=0 x=(2+-sqrt[-2^2-4*3*-1])/2*3 x=(2+-sqrt[4+12])/6 x=(2+-sqrt16)/6 x=(2+-4)/6 x=(2+4)/6 x=1 answer. x=(2-4)/6 x=-2/6 x=-1/3 answer.

Exponents/139238: Please help me solve this question, long time i don't divide polinomians, i will appreciate it. thank you. 20a^2+7ab-3b^2/4a-b 1 solutions Answer 101526 by checkley77(12569)   on 2008-04-29 18:27:51 (Show Source): You can put this solution on YOUR website! 20a^2+7ab-3b^2/4a-b (4a-b)(5a+3b)/(4a-b) (5a+3b) answer.

Sequences-and-series/139230: I am in 9th grade advanced algebra 2 and am stumped on 4 of my sequence problems. The other 11 made complete sense, so now I am getting uptight.... The sequences are as follows 0,3,7,12,18,..... 2,-2,-18,-52,-110,-198,..... 4,23,64,133,236,379,568,..... -5,-9,-19,-35,-57,-85,.... 1 solutions Answer 101524 by checkley77(12569)   on 2008-04-29 18:24:14 (Show Source): You can put this solution on YOUR website! formula is (N+1) here you have a sequence of +3,+4,+5,+6,+7,+8 +9 0,3,7,12,18,25,33,42 ***************************************** for the next 3 I use a very unconventional method that is too complicated to explain: please let me know it they are acceptable????????? 2,-2,-18,-52,-110,-198,-322,-488,-702 ****************************************** 4,23,64,133,236,379,568,809,1108 ***************************************** -5,-9,-19,-35,-57,-85,-119,-159,-205

Circles/139148: a round target has 3 circles with radii of 2cm, 10cm, & 20cm. what is the probability that a dart randomly thrown hits the target within the outer ring? (outer ring's radii is 20cm) 1 solutions Answer 101520 by checkley77(12569)   on 2008-04-29 17:51:32 (Show Source): You can put this solution on YOUR website! A(20)=pir^2 A=3.14*20^2 A=3.14*400 A=1,256 total area A(10)=3.14*10^2 A=3.14*100 A=314 area inside the 10 circle. (1,256-314)/1,256=942/1,256=.75 or 75% chance of hitting the 20 ring.

Radicals/139164: I need help with simplifying radical expressions. The problem is: the fifth root of . I have the answer that I got: 2* the 5th root of . Is this correct? 1 solutions Answer 101519 by checkley77(12569)   on 2008-04-29 17:43:25 (Show Source): You can put this solution on YOUR website! fifthroot(96/x^7) 2(fifthroot3)/x(fifthroot x^2) answer.

Quadratic_Equations/139165: Apply using the quadratic formula to find the roots of the given function, graph the function. f(x) = x^2 - 4 1 solutions Answer 101518 by checkley77(12569)   on 2008-04-29 17:37:33 (Show Source): You can put this solution on YOUR website! f(x)=x^2-4 f(x)=(x+2)(x-2) x+2=0 x=-2 answer. x-2=0 x=2 answer. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 -4).

Quadratic_Equations/139166: Apply using quadratic formula to find the roots and graph. g(x)= x^2 - x - 12 1 solutions Answer 101517 by checkley77(12569)   on 2008-04-29 17:34:51 (Show Source): You can put this solution on YOUR website! g(x)=x^2-x-12 g(x)=(x-4)(x+3) x-4=0 x=4 answer. x=3=0 x=-3 answer. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 -x -12).

Quadratic_Equations/139170: This question is from textbook algebra Not sure how to to solve this, transforming equations. -300=15x I got x=20 Please and Thank You=) 1 solutions Answer 101516 by checkley77(12569)   on 2008-04-29 17:31:23 (Show Source): You can put this solution on YOUR website! -300=15x x=-300/15 x=-20 answer.

Quadratic-relations-and-conic-sections/139201: the parabola defined by y+2x^2+8x+7 opens_______________ a)down b)to the right c)up d)to the left 1 solutions Answer 101515 by checkley77(12569)   on 2008-04-29 17:28:43 (Show Source): You can put this solution on YOUR website! y+2x^2+8x+7 Y=-2X^2-8X-7 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x^2 -8x -7). answer a) DOWN.

Geometric_formulas/139191: The diameter of Mars is about 4,000 mi. A.) Find the approximate surface area. B.) Find the approximate volume Please Help Thanks 1 solutions Answer 101514 by checkley77(12569)   on 2008-04-29 17:23:25 (Show Source): You can put this solution on YOUR website! SA=4pir^2 SA=4*3.14*2,000^2 SA=12.56*4,000,000 SA=50,240,000 answer. V=4/3pir^3 V=1.333*3.14*2,000^3 V=4.186*8,000,000,000 V=3.3488*10^10

Probability-and-statistics/139213: Graph the line with slope 3/4 passing through the point (-5,-5) . 1 solutions Answer 101513 by checkley77(12569)   on 2008-04-29 17:14:09 (Show Source): You can put this solution on YOUR website! Y=mX+b -5=3/4*-5+b -5=-15/4+b b=-5+15/4 b=-5+3.75 b=-1.25 THE Y INTERCEPT. Y=3X/4-1.25 OR Y=.75X-1.25

Coordinate-system/139214: This question is from textbook Prentice Hall Mathematics Algebra 1 may you please graph each equation y-2=2(x-3) 1 solutions Answer 101512 by checkley77(12569)   on 2008-04-29 17:10:50 (Show Source): You can put this solution on YOUR website! y-2=2(x-3) y-2=2x-6 y=2x-6+2 y=2x-4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x -4).

Mixture_Word_Problems/139118: Robin's company invested its profits of $52,700, part at 13.5% and part at 15%. the total annual yield on this investment was $7432.50. How much was invested at each rate? 1 solutions Answer 101485 by checkley77(12569)   on 2008-04-29 11:17:03 (Show Source): You can put this solution on YOUR website! .15X+.135(52,700-X)=7,432.50 .15X+7,114.5-.135X=7,432.50 .015X=7,432.50-7,114.50 .015X=318 X=318/.015 X=21,200 ANSWER FOR THE AMOUNT INVESTED @ 15%. 52,700-21,200=31,500 ANSWER FOR THE 13.5$ INVESTMENT. PROOF: .15*21,200+.135*31,500=7,432.50 3,180+4,252.5=7,432.5 7,432.5=7,432.5

Linear-equations/139137: Find the point of intersection: x+2y-1=0 and 2x+y+1=0 1 solutions Answer 101484 by checkley77(12569)   on 2008-04-29 11:09:21 (Show Source): You can put this solution on YOUR website! x+2y-1=0 2y=-x+1 y=-x/2+1/2 (red line) 2x+y+1=0 y=-2x-1 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x/2 +1/2 and -2x -1). ANSWER (-1,1).

Quadratic_Equations/139141: In a right triangle, find the lenghth of the side not given. b=2 c=sqrt 29 a=? 1 solutions Answer 101483 by checkley77(12569)   on 2008-04-29 11:03:51 (Show Source): You can put this solution on YOUR website! a^2+2^2=sqrt29 a^2+4=5.385 a^2=5.385-4 a^2=1.385 a=sqrt1.385 a=1.177 answer. proof: 1.177^2+4=5.385 1.385+4=5.385 5.385=5.385

Polynomials-and-rational-expressions/139143: I need to factor the trinomal s^3-2s^2-63s Ok I know I need to foil (s+9)(s^2-7)? 1 solutions Answer 101480 by checkley77(12569)   on 2008-04-29 10:56:39 (Show Source): You can put this solution on YOUR website! s^3-2s^2-63s a better approach is to factor out the common element (s). s(s^2-2s-63) s(s-9)(s+7) answer.

Equations/139145: 3x-4y=6 x+2y=7 1 solutions Answer 101479 by checkley77(12569)   on 2008-04-29 10:53:52 (Show Source): You can put this solution on YOUR website! x+2y=7 x=7-2y now replace x in the other equation with (7-2y) & solve for y 3x-4y=6 3(7-2y)-2y=6 21-6y-2y=6 -8y=6-21 -8y=-15 y=-15/-8 y=15/8 or 1.875 answer. x=7-2*1.875 x=7-3.75 x=3.25 answer.

Equations/139146: 3x-5y=5 y=x/2 1 solutions Answer 101478 by checkley77(12569)   on 2008-04-29 10:48:26 (Show Source): You can put this solution on YOUR website! 3x-5y=5 y=x/2 replace y in the first equation by (x/2) & solve for x 3x-5(x/2)=5 3x-5x/2=5 3x-2.5x=5 .5x=5 x=5/.5 x=10 answer. y=10/2 y=5 answer. proof 3*10-5*5=5 30-25=5 5=5

expressions/139152: Solve 5x + 9 - (2x-3)=2x-7 1 solutions Answer 101476 by checkley77(12569)   on 2008-04-29 10:44:33 (Show Source): You can put this solution on YOUR website! 5x+9-(2x-3)=2x-7 5x+9-2x+3=2x-7 5x-2x-2x=-7-9-3 x=-19 answer. proof: 5*-19+9-(2*-19-3)=2*-19-7 -95+9+38+3=-38-7 -45=-45

Quadratic_Equations/139153: What three techniques can be used to solve a quadratic equation? Please could you demonstrate all three techniques using the following equation. Thanks! 12x^2 - 10x - 42 = 0 1 solutions Answer 101475 by checkley77(12569)   on 2008-04-29 10:38:55 (Show Source): You can put this solution on YOUR website! 12x^2-10x-42=0 2(6x^2-5x-21)=0 2(2x+3)(3x-7)=0 2x+3=0 2x=-3 x=-3/2 answer. 3x-7=0 3x=7 x=7/3 answer. ----------------------------------- 12x^2-10x-42=0 (4x+6)(6x-14)=0 4x+6=0 4x=-6 x=-6/4 x=-3/2 answer. 6x-14=0 6x=14 x=14/6 x=7/3 answer. ------------------------------------ 12x^2-10x-42=0 using the quadratic equation: we get: x=(10+-sqrt[-10^2-4*12*-42])/2*12 x=(10+-sqrt[100+2016])/24 x=(10+-sqrt2116)/24 x=(10+-46)/24 x=(10+46)/24 x=56/24 x=7/3 aanswer. x=(10-46)/24 x=-36/24 x=-3/2 answer.