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Linear_Equations_And_Systems_Word_Problems/148934: Hi, I have to translate the following into a quadratic equation and solve it. Please help. The length of a rectangular garden is three times its width: if the area of the garden is 75 square meters, what are its dimensions? 1 solutions Answer 109262 by checkley77(12569)   on 2008-07-20 18:20:40 (Show Source): You can put this solution on YOUR website! the formula is: L*W=75 GIVEN L=3W THEN 3W*W=75 3W^2=75 W^2=25 W=SQRT25 W=5 METERS. L=3*5 L=15 METERS. PROOF: 15*5=75 75=75

Problems-with-consecutive-odd-even-integers/148928: The product of two consecutive odd integers is 63. Find the integers. 1 solutions Answer 109261 by checkley77(12569)   on 2008-07-20 18:00:46 (Show Source): You can put this solution on YOUR website! x(x+2)=63 x^2+2x-63=0 (x+9)(x-7)=0 x+9=0 x=-9 answer. -9+2=-7 answer. proof -9*-7=63 63=63

Square-cubic-other-roots/148929: I need some help with 3 math problems I am getting started but cant get finished can some please so me what I am doing wrong These 2 problems are directions use the square root property to solve the following 7x^2=21 i got +/- square root of 3 (z+3)^2=8 i started like this z+3=8 z+5 so my ans is z=5 of z=-5 This problems direction is complete using the quadratic formula to solve 15T^2 + 7T - 2 = 0 x=7 square root 14-4 x 15 x 7 = 14-420/30 = -406/30 and thats where I get stuck Thanks for the help Leann 1 solutions Answer 109260 by checkley77(12569)   on 2008-07-20 17:57:44 (Show Source): You can put this solution on YOUR website! 7x^2=21 x^2=21/7 x^2=3 x=sqrtr3 x=+/-1.732 answer. ---------------------------- (z+3)^2=8 first you must square the (z+3) term. z^2+6z+9=8 z^2+6z+9-8=0 z^2+6z+1=0 using the quadratic equation: z=(-6+-sqrt[6^2-4*1*1])/2*1 z=(-6+-sqrt[36-4])/2 z=(-6+-sqrt32)/2 z=(-6+-5.65685)/2 z=-.343/2 z=-.17165 answer. z=(-6-5.65685)/2 z=-11.65685/2 z=-5.828 answer. ----------------------------------------- 15T^2+7T-2=0 already used the quadratic formula. this problem can be factored without the formula thus: (5t-1)(3t+2)=0 5t-1=0 5t=1 t=1/5 t=.2 answer. 3t+2=0 3t=-2 t=-2/3 t=-.66667 answer. if you insist on the quadratic formula then: t=(-7+-sqrt7^4-4*15*-2])/2*15 t=(-7+-sqrt[49+120])/30 t=(-7+-sqrt169)/30 t=(-7+-13)/30 t=(-7+13)/30 t=6/30 t=.2 answer. t=(-7-13)/30 t=-20/30 t=-2/3=-.66667 answer. ---------------------------------------- comment: don't know where you got your math instructions but they are not correct.

Evaluation_Word_Problems/148628: This question is from textbook The present value P that will amount to A dollars in N years with interests compounded annually at an interest rate R is given by Find the present value that will amount to 50,000 in 20 years at 8% compounded annually 1 solutions Answer 109101 by checkley77(12569)   on 2008-07-18 18:11:06 (Show Source): You can put this solution on YOUR website! p(1+r)^t 50,000(1+.08)^20 50,000(1.08)^20 50,000*4.66=$233,047.86 amount of the investment after 20 years.

Quadratic_Equations/148758: Not understanding this: Quadratic Coefficients: a = 1, b = 8, c = 15 Looking for "Solutions" x1=__________; x2 =__________ Can you explain? 1 solutions Answer 109098 by checkley77(12569)   on 2008-07-18 18:05:35 (Show Source): You can put this solution on YOUR website! x^2+8x+15=0 (if a,b & c are positive integers) (x+5)(x+3)=0 x+5=0 x=-5 answer. x+3=0 x=-3 answer.

Inequalities/148567: What is inequality x^2 - 9x -10 < 0 equivalent to? 1 solutions Answer 109000 by checkley77(12569)   on 2008-07-17 18:03:46 (Show Source): You can put this solution on YOUR website! x^2-9x-10<0 (X-10)(X+1)<0 X-10<0 X<10 ANSWER. X+1<0 X<-1 ANSWER.

Equations/148666: Jeff takes 5 hr longer to build a fence than it takes Bill. When they work together, it takes them 6 hours. How long would it take Bill to do the job alone? 1 solutions Answer 108999 by checkley77(12569)   on 2008-07-17 18:00:27 (Show Source): You can put this solution on YOUR website! X(X+5)/(X+X+5)=6 (X^2+5X)/(2X+5)=6 X^2+5X=6(2X+5) X^2+5X=12X+30 X^2+5X-12X-30=0 X^2-7X-30=0 (X-10)(X+3)=0 X-10=0 X=10 HOURS FOR BILL TO COMPLETE THE JOB ALONE. PROOF: 10*15/(10+15)=6 150/25=6 6=6

Linear_Algebra/148638: 4-³ 1 solutions Answer 108998 by checkley77(12569)   on 2008-07-17 17:42:45 (Show Source): You can put this solution on YOUR website! 4^-3 1/(4*4*4)=1/64 ANSWER.

Equations/148639: soybean meal is 18% protein; cornmeal is 9% protein. How many pounds of each should be mixed together in order to get 360-lb mixture that is 13% protein? 1 solutions Answer 108997 by checkley77(12569)   on 2008-07-17 17:41:07 (Show Source): You can put this solution on YOUR website! .18X+.09(360-X)=.13*360 .18X+32.4-.09X=46.8 .09X=46.8-32.4 .09X=14.4 X=14.4/.09 X=160 POUNDS OF SOYBEAN IS NEEDED. 360-160=200 POUNDS OF CORNMEAL IS NEEDED. PROOF: .18*160+.09*200=.13*360 28.8+18=46.8 46.8=46.8

Linear_Algebra/148640: 6x³ +5x² +7x 1 solutions Answer 108996 by checkley77(12569)   on 2008-07-17 17:34:15 (Show Source): You can put this solution on YOUR website! 6x³+5x²+7x X(6X^2+5X+7) USING THE QUADRATIC EQUATION: WE GET: X=(-5+-SQRT([^2-4*6*7])/2*6 X=(-5+-SQRT[25-168])/12 X=(-5+-SQRT[-143)/12 X=(-5+-11.958i)/12 X=-5/12+-11.958i/12 X=-.41666+-.9965i

Linear_Algebra/148645: 6x³ +5x² +7x 1 solutions Answer 108995 by checkley77(12569)   on 2008-07-17 17:32:11 (Show Source): You can put this solution on YOUR website! 6x³+5x²+7x X(6X^2+5X+7) USING THE QUADRATIC EQUATION:WE GET: X=(-5+-SQRT([^2-4*6*7])/2*6 X=(-5+-SQRT[25-168])/12 X=(-5+-SQRT[-143)/12 X=(-5+-11.958i)/12 X=-5/12+-11.958i/12 X=-.41666+-.9965i

Linear_Algebra/148646: 4x² +14x -30 1 solutions Answer 108994 by checkley77(12569)   on 2008-07-17 17:23:59 (Show Source): You can put this solution on YOUR website! 4x²+14x-30 2(2X^2+7-15) 2(2X-3)(X+5)

Equations/148661: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 10 hours. How long would it take the experienced accountant working alone? 1 solutions Answer 108993 by checkley77(12569)   on 2008-07-17 17:19:31 (Show Source): You can put this solution on YOUR website! X*2X/(X+2X)=10 2X^2/3X=10 2X^2=30X 2X^2-30X=0 2X(X-15)=0 X-15=0 X=15 HOURS FOR THE EXPERIENCED ACCOUNTANT. PROOF: 15*30/(15+30)=10 450/45=10 10=10

Expressions-with-variables/148664: I'm trying to help my grandson with a problem, and I don't even know where to start(algebra was MANY years ago for me!): w = 3.8w - 7 1 solutions Answer 108992 by checkley77(12569)   on 2008-07-17 17:15:56 (Show Source): You can put this solution on YOUR website! w=3.8w-7 W-3.8W=-7 -2.8W=-7 W=-7/-2.8 W=2.5 ANSWER.(FROM A GREAT-GREAT GRANDPA) PROOF: 2.5=3.8*2.5-7 2.5=9.5-7 2.5=2.5

Average/148359: change 3 3/9 and 5/18 into decimals 1 solutions Answer 108897 by checkley77(12569)   on 2008-07-16 18:55:42 (Show Source): You can put this solution on YOUR website! 3 3/9=(3*9+3)/9=30/9=3.3333333333 5/18=.27777777777

Linear-equations/148370: This question is from textbook v-4(4-v)=-2(2v-1) 1 solutions Answer 108896 by checkley77(12569)   on 2008-07-16 18:53:00 (Show Source): You can put this solution on YOUR website! v-4(4-v)=-2(2v-1) v-16+4v=-4v+2 5v+4v=2+16 9v=18 v=18/9 v=2 answer. proof: 2-4(4-2)=-2(2*2-1) 2-4*2=-2(4-1) 2-8=-2*3 -6=-6

Linear-equations/148373: This question is from textbook 1/2q-6=1/5q 1 solutions Answer 108895 by checkley77(12569)   on 2008-07-16 18:46:59 (Show Source): You can put this solution on YOUR website! 1/2q-6=1/5q q/2-q/5=6 (5q-2q)/10=6 3q=60 q=60/3 q=20 answer. proof 20/2-20/5=6 10-4=6 6=6

Radicals/148439: y=ax^2-8x-3 x=2 1 solutions Answer 108893 by checkley77(12569)   on 2008-07-16 18:42:32 (Show Source): You can put this solution on YOUR website! y=ax^2-8x-3 x=2 y=a*2^2-8*2-3 y=4a-16-3 y=4a-19

Polynomials-and-rational-expressions/148527: This question is from textbook Algebra 1 california edition 2/y+1/2y / y+y/2 1 solutions Answer 108892 by checkley77(12569)   on 2008-07-16 18:39:36 (Show Source): You can put this solution on YOUR website! 2/y+1/2y / y+y/2 IF YOU MEAN: [(2/Y)+(Y/2)]/(Y+Y/2) [(2*2+Y*Y)/2Y)]/(2Y+Y)/2 [(4+Y^2)/2Y]/(3Y)/2 (4+Y^2)/2Y)(2/3Y) 2(4+Y^2)/6Y^2 (4+Y^2)/3Y^2

Linear-systems/148128: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 MPH along the route from Albuquerque to Roswell and averaged 70 MPH from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Albuquerque to Roswell? I started by making a table DISTANCE RATE TIME 270 75 3hrs 270 70 3hrs but the problems that I was coming up with did not make sense to me. Am I going about thie correctly? 1 solutions Answer 108532 by checkley77(12569)   on 2008-07-13 19:07:48 (Show Source): You can put this solution on YOUR website! 220=75x+70(3-x) 220=75x+210-70x 220=5x+210 5x=220-210 5x=10 x=10/5 x=2 hours driving @ 75 mph. 3-2=1 hour driving @ 70 mph. proof 220=75*2=70*1 220=150+70 220=220 75*2=150 miles from Albuquerque to Roswell.

Exponents-negative-and-fractional/148122: Simplify so that no negative exponents appear; (3r^2)^2r^-5 ______________(2r^-6)^2 r^-2r^3 1 solutions Answer 108518 by checkley77(12569)   on 2008-07-13 18:22:07 (Show Source): You can put this solution on YOUR website! (3r^2)^2r^-5 ______________(2r^-6)^2 r^-2r^3 (9r^4r^-5)(4r^-12)/r^1 (36r^-1r^-12)/r^1 36r^-13/r^1 36/r^14 answer.

Equations/148118: If (2x+1)(x-5) --------- = 0,then x= x+3 1 solutions Answer 108512 by checkley77(12569)   on 2008-07-13 18:08:22 (Show Source): You can put this solution on YOUR website! (2x+1)(x-5) --------- = 0 x+3 (2x+1)(x-5)=x+3 2x^2-10x+x-5=x+3 2x^2-9x-x-5-3=0 2x^2-10x-8=0 2(x^2-5x-4)=0 using the quadratic equation: we get: x=(5+-sqrt[-5^2-4*1*-4)/2*1 x=(5+-sqrt[25+16])/2 x=(5+-sqrt41)/2 x=(5+-6.4)/4 x=(5+6.4)/2 x=11.4/2 x=5.7 answer. x=(5-6.4)/2 x=-1.4/2 x=-.7 answer.

Expressions-with-variables/148098: what order of operation do you use to find a solution (x-2)/5-3/2 = (x+1)/10 1 solutions Answer 108505 by checkley77(12569)   on 2008-07-13 17:49:17 (Show Source): You can put this solution on YOUR website! (x-2)/5-3/2 = (x+1)/10 first you combine the fractions on the left [2*(x-2)-3*5)]/5*2)=(x+1)/10 [2x-4-15]/10=(x+1)/10 now combine like terms [2x-19]/10=(x+1)/10 now cancel out the denominators 2x-19=x+1 now subtract x from both sides 2x-x-19=x-x+1 now conbine the x terms x-19=1 now add 19 to both sides x-19+19=1+19 x=20 answer. proof: (20-2)/5-3/2 = (20+1)/10 18/5-3/2=21/10 (18*2-3*5)/10=21/10 (36-15)/10=21/10 21/10=21/10

Rational-functions/148107: PLease help me with these math problem!! PLEASE, by today! PLEASEEE!!! 1. Simplify the rational expression: 4x(to the 2nd power)Y(to the 8th power) _______________________________________ 10x(to the 4th power) Y (to the 11th power) 2. Simplify the rational expression: Y(to the 2nd power) + 8y-9 _________________________ Y(to the 2nd power) -1 3.Simplify the rational expression: 2-X ___ x-2 4. Multiply: 4x-12 x(to the 2nd power) +3X _____ X ____________________ X 3X-9 5. Multiply: 6T(to the 2nd power) -4T-2 9T(to the 2nd power) +45T _____________________ X ____________________ 3 3T(to the 3rd power) + T(to the 2nd power) 6. Divide: 3X(to the 2nd power) + 3X X(to the 2nd power) - 1 _____________________ / __________________ 2 6X 7. Add or subtract as indicated ans simplify if possible: 29y + 12y ___ ___ 14 14 8. Add or subtract as indicated ans simplify if possible: T(to the 2nd power) -8 -4+13 __________________ - _______ T-3 T-3 9. Find the least common denominator of the rational expressions: 2 5 -2 __ __ ____ 3x 14x(to the 3rd power) 7x(to the 2nd power) 10. Add: 11 x+8 _______________ + _____ 2x(2nd power) +4x x+12 11. Subtract: X 3-x(2nd power) ____ - ____________ x+10 x(2nd power) -100 12. Simplify the complex fraction using method I: 8a 6ab ____________ / ______ 3b(2nd power) 5 13. Simplify the complex fraction using method II: T-3T(-2 power) ____________ 5-2T (-1 power) 14. Solve the equation: y -1 + 1 _______ = ____ 2y-4 y+2 15. Solve the equation: t-2 t+17 1 ____ = _____________ - _____ t-1 t(2nd power)-1 t+1 1 solutions Answer 108499 by checkley77(12569)   on 2008-07-13 17:26:36 (Show Source): You can put this solution on YOUR website! 4x(to the 2nd power)Y(to the 8th power) _______________________________________ 10x(to the 4th power) Y (to the 11th power) 4x^2y^8/10x^4y^11 2/5x^2y^3 --------------------------------------------------------- Y(to the 2nd power) + 8y-9 _________________________ Y(to the 2nd power) -1 (y^2+8y-9)/(y^2-1) (y+9)(y-1)/(y+1)(y-1) (y+9)/(y+1) --------------------------------------------------------

Problems-with-consecutive-odd-even-integers/148112: The Product of two consecutive positive intergers is 1 more than their sum. Find the intergers. 1 solutions Answer 108497 by checkley77(12569)   on 2008-07-13 17:02:28 (Show Source): You can put this solution on YOUR website! x(x+1)=x+x+1+1 x^1+x=2x+2 x^2+x-2x-2=0 x^2-x-2=0 (x-2)(x+1)=0 x-2=0 x=2 for the smaller integer. 2+1=3 for the larger integer proof: 2*3=2+3+1 6=6

Polynomials-and-rational-expressions/148108: I have two formulas and not sure which one to use. A=Pe^(rt) or A=P(1+r/t)^tn question is Meredith won $150,000 in the lottery and decides to invest the money for her retirement in 20 years. In each option what amount will be produced and which option will produce the most money for her retirement? A. a certificate of deposit paying 5.4% compounded yearly? B. a money market certificate paying 5.35% compounded semiannually? C. a bank account paying 5.25% compounded monthly? 1 solutions Answer 108496 by checkley77(12569)   on 2008-07-13 16:58:11 (Show Source): You can put this solution on YOUR website! The formula you want is [A=P(1+r/n)^tn a) A=150,000(1+.054/1)^20*1 A=150,000(1+.054)^20 A=150,000(1.054)^20 A=150,000*2.863 A=$429,440.97 is the amount after 20 years @ 5.4%. b)A=150,000(1+.0535/2)^20*2) A=150,000(1+.02675)^40 A=150,000(1.02675)^40 A=150,000*2.87467 A=$421,200.96 is the amount after 20 years @ 5.35%. c) A=150,000(1+.0525/12)^20*12 A=150,000(1+.004375)^240 A=150,000(1.004375)^240 A=150,000*2.8511 A=$427,667.10 is the amount after 20 years @ 5.25%

Percentage-and-ratio-word-problems/148042: An investor has $20,000 o invest. If part is invested at 8% and the rest at 12%, how much should be invested at each rate to yield 11% on the total amount invested? 1 solutions Answer 108428 by checkley77(12569)   on 2008-07-12 22:39:16 (Show Source): You can put this solution on YOUR website! .12X+.08(20,000-X)=.11*20,000 .12X+1,600-.08X=2,200 .04X=2,200-1,600 .04X=600 X=600/.04 X=15,000 INVESTED @ 12% 20,000-15,000=5,000 INVESTED @ 8% PR00F: .12*15,000+.08*5,000=2,200 1,800+400=2,200 2,200=2,200

Polynomials-and-rational-expressions/148045: This question is from textbook Elementary and Intermediate Algebra The width of a rectangular playground is 2x - 5 feet, and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet. 1 solutions Answer 108425 by checkley77(12569)   on 2008-07-12 22:34:44 (Show Source): You can put this solution on YOUR website! P(X)2(2X-5)+2(3X+9) P(4)=2(2*4-5)+2(3*4+9) P(4)=2(8-5)+2(12+9) P(4)=2*3+2*21 P(4)=6+42 P(4)=48 FEET FOR THE PERIMETER IS THE ANSWER.

Human-and-algebraic-language/148046: It takes Johnny 4 hours to mow the lawn. It takes Rebecca 3 hours to mow the same lawn. How long would it take if they worked together? I cannot figure out the formula to use to determine this. I keep trying to make 4 and 3 hours equal 1 (lawn). Just not sure where to begin. If I had the formula... thank-you. 1 solutions Answer 108422 by checkley77(12569)   on 2008-07-12 22:30:22 (Show Source): You can put this solution on YOUR website! THE FORMULA FOR THIS PROBLEMS IS: J*R/(J+R) 4*3/(4+3) 12/7=1.714 HOUR TO COMPLETE THE JOB WORKING TOGETHER.

Linear-equations/147862: Please help me solve this problem in steps y= -7x - 4 (where y= -2) Thank You 1 solutions Answer 108238 by checkley77(12569)   on 2008-07-10 20:39:49 (Show Source): You can put this solution on YOUR website! y= -7x - 4 (where y= -2) -2=-7x-4 -7x=-2+4 -7x=2 x=2/-7 x=-2/7 answer.

Radicals/147866: 4x+34x+42 it says factor completely can u show me how 1 solutions Answer 108237 by checkley77(12569)   on 2008-07-10 20:37:37 (Show Source): You can put this solution on YOUR website! 4x+34x+42 38x+42 2(19x+21) answer.