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# Recent problems solved by 'checkley71'

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 Quadratic_Equations/60630: This question is from textbook alegbra concepts and applications Find the value of c to make g^2 - 18g + c1 solutions Answer 41650 by checkley71(8403)   on 2006-11-09 16:38:47 (Show Source): You can put this solution on YOUR website!G^2-18G+81 C=81 (G-9)(G-9)
 Rational-functions/60687: List all the factors of 6x2 + 14x - 12 a.2 b.3 c.(x + 6) d.(3x - 1) e.(3x - 2) f. (x + 3) 1 solutions Answer 41647 by checkley71(8403)   on 2006-11-09 16:35:36 (Show Source): You can put this solution on YOUR website!6X^2+14X-12 3X^2+7X-6 (3X-2)(X+3) SOLUTIONS ARE E & F
 absolute-value/60633: This question is from textbook alegbra concepts and applications Simplify square root of 75a^2b^3c (use absolute vale symbols if necessary1 solutions Answer 41646 by checkley71(8403)   on 2006-11-09 16:32:49 (Show Source): You can put this solution on YOUR website!SQRT75A^2B^3C 5ABSQRT5BC
 Polynomials-and-rational-expressions/60661: How do I reduce the following fraction to its lowest terms? 6u^2-60u+144/u^2-5u+41 solutions Answer 41645 by checkley71(8403)   on 2006-11-09 16:29:43 (Show Source): You can put this solution on YOUR website!(6u^2-60u+144)/(u^2-5u+4) now factor both equations 6u^2-60u+144 6(u^2-10u+24) 6(u-6)(u-4) now factor the denominator u^2-5u+4 (u-4)(u-1) now reconstruct the fraction thus 6(u-6)(u-4)/(u-4)(u-1) we have a common factor in both the numerator & denominator and can be factored out of both thus 6(u-6)/(u-1)
 Graphs/60679: Find the slope of the line connecting (3, - 4) and (-5, 2) 1 solutions Answer 41644 by checkley71(8403)   on 2006-11-09 16:23:03 (Show Source): You can put this solution on YOUR website!slope=(y2-y1)/(x2-x1) slope=(2+4)/(-5-3) slope=6/-8 slope=-3/4
 Polynomials-and-rational-expressions/60682: I need some help with this problem, it says to factor the trinomial, the trinomial is: 12x^2+10x-50, thanks.1 solutions Answer 41642 by checkley71(8403)   on 2006-11-09 16:18:27 (Show Source): You can put this solution on YOUR website!12X^2+10x-50=0 6x^2+5x-25=0 (3x-5)(2x+5)=0 3x-5=0 3x=5 x=5/3 2x+5=0 2x=-5 x=-5/2
 Graphs/60681: Find the equation of the line that has a slope of -4 and passes through the point (2,3) 1 solutions Answer 41641 by checkley71(8403)   on 2006-11-09 16:15:21 (Show Source): You can put this solution on YOUR website!Y=mX+b Y=-4X+b REPLACING X & Y FOR 2 & 3 WE GET 3=-4*2+b 3=-8+b 3+8=b 11=b THE Y INTERCEPT Y=-4X+11 IS THE EQUATION FOR THIS LINE
 Expressions-with-variables/60680: Can you please show me how to work this problem step by step? -7+x+4+4x-x-3+6 Thank you!1 solutions Answer 41640 by checkley71(8403)   on 2006-11-09 16:12:09 (Show Source): You can put this solution on YOUR website!-7+X+4+4X-X-3+6 X+4X-X-7+4-3+6 4X
 Expressions-with-variables/60677: Find f(-2) for f(x) = 1 - 2x 1 solutions Answer 41639 by checkley71(8403)   on 2006-11-09 16:09:40 (Show Source): You can put this solution on YOUR website!F(X)=1-2X F(-2)=1-2*-2 F(-2)=1+4 F(-2)=+5
 Numbers_Word_Problems/60675: I am having trouble converting this to an equation. I know the answer but can't come up with the equation that will give me the correct answer. There is a group of boys and dogs. There are 22 heads and 68 feet. How many boys are there and how many dogs are there. The answer is 10 boys and 12 dogs,but I need an equation. Thank You1 solutions Answer 41637 by checkley71(8403)   on 2006-11-09 16:06:40 (Show Source): You can put this solution on YOUR website!HEADS=B+D 22=B+D B=22-D FEET=2B+4D 68=2B+4D SUBSTITUTE (22-D) FOR B IN THE FEET EQUATION WE GET 68=2(22-D)+4D 68=44-2D+4D 68-44=2D 24=2D D=24/2 D=12 ANSWER 22=B+12 B=22-12 B=10 ANSWER PROOF 68=2*10+4*12 68=20+48 68=68
 Rational-functions/60676: List all the factors of 6x2 + 14x - 12 2 3 (x + 6) (3x - 1) (3x - 2) (x + 3) 1 solutions Answer 41636 by checkley71(8403)   on 2006-11-09 15:58:22 (Show Source): You can put this solution on YOUR website!6X^2+14X-12=0 3X^2+7X-6=0 (3X-2)(X+3)=0 TWO FACTORS 3X+2=0 3X=-2 X=-2/3 SOLUTION X+3=0 X=-3 SOLUTION
 Functions/60674: -3x+4y-5=-14 rewrite the equation so that y is a function of x1 solutions Answer 41634 by checkley71(8403)   on 2006-11-09 15:52:51 (Show Source): You can put this solution on YOUR website!-3X+4Y-5=-14 -3X=-4Y+5-14 -3X=-4Y-9 3X=4Y-9 X=4Y/3-9/3 X=4Y/3-3
 Geometry_Word_Problems/60673: The floor of a shed has an area of 54 square feet. Find the length and width if the length is 3 feet less than twice its width.1 solutions Answer 41633 by checkley71(8403)   on 2006-11-09 15:48:58 (Show Source): You can put this solution on YOUR website!AREA=LENGTH*WIDTH 54=(2W-3)W 54=2W^2-3W 2W^2-3W-54=0 (2W+9)(W-6)=0 2W+9=0 2W=-9 W=9/-2 W=-4.5 NON SOLUTION W-6=0 W=6 SOLUTION L=2*6-3 L=12-3 L=9 SOLUTION PROOF 54=6*9 54=54
 Rectangles/60671: This question is from textbook Essential Algebra Hi, I am a distance education student and new to geometry. I do not get it. Every other math sight I have found only tell you the answer but not how they got it. Thanks, Lee Ann Problem: The Width of a rectangle is three feet less than its length. Find the length of the rectangle if its perimeter is 78 feet. 1 solutions Answer 41632 by checkley71(8403)   on 2006-11-09 15:41:28 (Show Source): You can put this solution on YOUR website!PERIMETER=2*LENGTH+2WIDTH 78=2*L+2(L-3) 78=2L+2L-6 78=4L-6 4L=78+6 4L=84 L=84/4 L=21 THEN THE WIDTH=21-3=18 PROOF 78=2*21+2*18 78=42+36 78=78 SUGGESTION: WHEN YOU WORK WORD PROBLEMS, IF POSSIBLE, DRAW A PICTURE, SKETCH OR DIAGRAM AND LABEL ALL RELEVENT FACTS, MEASUREMENTS, ANGLES, ETC.
 Numeric_Fractions/60667: p+3/4=9/10 I need to be able to show the work and can't seem to get it. 1 solutions Answer 41631 by checkley71(8403)   on 2006-11-09 15:34:53 (Show Source): You can put this solution on YOUR website!P+3/4=9/10 P=9/10-3/4 FIND A COMMON DENOMINATOR OF 4 & 10 WHICH IS 20 P=18/20-15/20 P=3/20 PROOF 3/20+3/4=9/10 STILL NEED A COMMON DENOMINATOR 20 WORKS HERE 3/20+15/20=18/20 18/20=18/20
 Graphs/60521: This question is from textbook Algebra 1 6-(5r)=5r-31 solutions Answer 41553 by checkley71(8403)   on 2006-11-08 19:02:56 (Show Source): You can put this solution on YOUR website!6-(5r)=5r-3 6-5r=5r-3 -5r-5r=-3-6 -10r=-9 r=-9/-10 r=9/10 or .9 proof 6-(5*.9)=5*.9-3 6-4.5=4.5-3 1.5=1.5
 Linear-equations/60468: How do I solve the system by addition. –5x + 2y = 10 x – 3y = 11 1 solutions Answer 41549 by checkley71(8403)   on 2006-11-08 18:43:06 (Show Source): You can put this solution on YOUR website!X-3Y=11 X=11+3Y -5(11+3Y)+2Y=10 -55-15Y+2Y=10 -13Y=65 Y=65/-13 Y=-5 X-3*-5=11 X+15=11 X=11-15 X=-4
 Polynomials-and-rational-expressions/60488: What is the sum of the solutions of the equation 3x^2+11x=4?1 solutions Answer 41548 by checkley71(8403)   on 2006-11-08 18:28:53 (Show Source): You can put this solution on YOUR website!3X^2+11X=4 3X^2+11X-4=0 (3X-1)(X+4)=0 3X-1=0 3X=1 X=1/3 SOLUTION X+4=0 X=-4
 Distributive-associative-commutative-properties/60489: 33-9(5-m)=4(m+7) can this answer be a negative decimal? trying to work out but getting stuck1 solutions Answer 41547 by checkley71(8403)   on 2006-11-08 18:22:53 (Show Source): You can put this solution on YOUR website!33-9(5-M)=4(M+7) 33-45+9M=4M+28 9M-4M=28-33+45 5M=40 M=40/5 M=8 PROOF 33-9(5-8)=4(8+7) 33-9(-3)=4(15) 33+27=60 60=60
 Graphs/60491: Determine the slope and y-intercept of each line,then graph it x+y=8 m=_____;b=________1 solutions Answer 41546 by checkley71(8403)   on 2006-11-08 18:14:56 (Show Source): You can put this solution on YOUR website!X+Y=8 Y=-X+8 THUS (Y=mX+b) m=-1 & b=8
 Linear-equations/60492: If one number is 12 more than another. The sum of the smaller number and twice the larger number is 39 then what is the larger number1 solutions Answer 41545 by checkley71(8403)   on 2006-11-08 18:12:11 (Show Source): You can put this solution on YOUR website!X+12=Y X+2(X+12)=39 X+2X+24=39 3X=39-24 3X=15 X=15/3 X=5 THUS 5+12=Y 17=Y PROOF 5+2(5+12)=39 5+2*17=39 5+34=39 39=39
 Equations/60387: 5x(2x+14)1 solutions Answer 41469 by checkley71(8403)   on 2006-11-07 21:37:18 (Show Source): You can put this solution on YOUR website!5X(2X+14)=0 10X^2+60X=0 X^2+6X=0 X(X+6)=0
 Problems-with-consecutive-odd-even-integers/60386: This question is from textbook algebra the smaller of two consecutive even integer is five more than one half of the greater.1 solutions Answer 41468 by checkley71(8403)   on 2006-11-07 21:34:48 (Show Source): You can put this solution on YOUR website!X BEING THE SMALLER EVEN NUMBER THEN X=5+(X+2)/2 X=5+X/2+1 X-1/2X=6 1/2X=6 X=12 X+2=14 PROOF 12=5+14/2 12=5+7 12=12
 Expressions-with-variables/60385: my question is about word problems: Vince is a professional football player. He has already made 75 touchdowns. each year, he makes 5 more touchdowns. Write a equation to show how many touchdowns he has made after x years p.s please help me as soon as possible! thank you!1 solutions Answer 41467 by checkley71(8403)   on 2006-11-07 21:30:21 (Show Source): You can put this solution on YOUR website!TB=75+5X TB BEING THE NUMBER OF TOUCH DOWNS & X BEING THE NUMBER OF YEARS FROM NOW.
 Linear-systems/60362: Solve by substitution 8x-4y=16 y=2x-41 solutions Answer 41466 by checkley71(8403)   on 2006-11-07 21:28:26 (Show Source): You can put this solution on YOUR website!Y=2X-4 THEN 8X-4(2X-4)=16 8X-8X+16=16 8X-8X=16-16 0=0 NO SOLUTIONS
 Equations/60364: ok i no how to do algibra BUT! i dont no when to add or subtract the varibles! example 3x+6=8x-9 so..... do i add or subtract the 3x and 8x please help me!!!! from hockey girl1 solutions Answer 41465 by checkley71(8403)   on 2006-11-07 21:20:57 (Show Source): You can put this solution on YOUR website!3X+6=8X-9 CONSIDER A VARIABLE A BANANA OR ANY OTHER OBJECT 8X-3X=6+9 YOU NOW HAVE 8(BANANAS) AND YOU SUBTRACT (TAKE AWAY) 3 BANANAS WHICH LEAVES YOU WITH 5 BANANAS OR 8X-3X=5X CONTINUING BY ADDING THE 6+9=15 WE GET 5X=15 NOW DIVIDE BOTH SIDESBY 5 AND YOU GET 5X/5=15/5 OR X=3 PROOF 3*3+6=8*3-9 9+6=24-9 15=15
 Linear-systems/60370: Geometry. The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle. 1 solutions Answer 41464 by checkley71(8403)   on 2006-11-07 21:14:20 (Show Source): You can put this solution on YOUR website!L=2+2W 2L+2W=34 2(2+2W)+2W=34 4+4W+2W=34 6W=34-4 6W=30 W=30/6 W=5 THEN L=2+2*5 L=2+10 L=12 PROOF 2*5+2*12=34 10+24=34 34=34
 Equations/60371: I am struggling with these types of problems x/5+x=-2 do you know an easier way to do these1 solutions Answer 41462 by checkley71(8403)   on 2006-11-07 21:11:36 (Show Source): You can put this solution on YOUR website!X/5+X=-2 (X+5X)/5=-2 X+5X=-10 6X=-10 X=-10/6 OR X=-5/3 PROOF (-5/3)/5-5/3=-2 (-5/3*1/5)-5/3=-2 -5/15-5/3=-2 -1/3-5/3=-2 -6/3=-2 -2=-2
 Coordinate-system/60373: 2x+2y=5 y=1/4x1 solutions Answer 41461 by checkley71(8403)   on 2006-11-07 21:03:06 (Show Source): You can put this solution on YOUR website!2X+2Y=5 Y=1/4X SO 2X+2(1/4X)=5 2X+1/2X=5 2.5X=5 X=5/2.5 X=2 Y=1/4*2 Y=1/2 Y=.5 PROOF 2*2+2*.5=5 4+1=5 5=5
 Equations/60377: I'm having difficulty with this problem. -6(5X+2)=198 I was wondering if you could solve this for me and show your work so that I can learn how to do it. I am working with my 8th grade daughter and I wish I could show her how to do this. Maybe if I see how it is done I will be able to explain it to her. I've been working on this with her for an hour. Please Help! Thanks! Karen1 solutions Answer 41460 by checkley71(8403)   on 2006-11-07 20:59:06 (Show Source): You can put this solution on YOUR website!-6(5X+2)=198 -30X-12=198 -30X=198+12 -30X=210 X=210/-30 X=-7 PROOF -6(5*-7+2)==198 -6(-35+2)=198 -6(-33)=198 198=198
 Quadratic_Equations/60107: How do you complete the square of x2-8x=33 and x2-8x+40=01 solutions Answer 41447 by checkley71(8403)   on 2006-11-07 16:56:43 (Show Source): You can put this solution on YOUR website!X^2-8X=33 X^2-8X+16=33+16 (X-4)(X-4)=49 X-4=7 X=7+4 X=11 -------------------------------------------- X^2-8X+40=0 X^2-8X=-40 X^2-8X+16=-40+16 (X-4)(X-4)=-24 X-4=2SQRT6