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# Recent problems solved by 'checkley77'

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 Quadratic_Equations/140763: Hi I am bnot sure how to do these two problems. I hope some one can help me. Thank you very much. 1. Solve by factoring: x2 – 9x = -8 2. Solve using the square root property: 2x2 – 5 = 93 1 solutions Answer 102447 by checkley77(12569)   on 2008-05-08 20:33:29 (Show Source): You can put this solution on YOUR website!x2–9x=-8 X^2-9X+8=0 (X-1)(X-8)=0 X-1=0 X=1 ANSWER. X-8=0 X-8 ANSWER. --------------------------- 2x2–5=93 2X^2=93+5 2X^2=98 X^2=98/2 X^2=49 X=SQRT49 X=7 ANSWER.
 Graphs/140706: This question is from textbook Elementary and Intermediate Algebra Ho do I graph this problem 4x+5y=-2 4y-x = 111 solutions Answer 102446 by checkley77(12569)   on 2008-05-08 20:29:03 (Show Source): You can put this solution on YOUR website!4x+5y=-2 or 5y=-4x-2 or y=-4x/5-2/5 (red line) 4y-x=11 or 4y=x+11 or y=x/4+11/4 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -4x/5 -2/5 and x/4 +11/4). ANSWER IS (-3,2)
 Graphs/140722: i need to graph Can I use f(x)=mx+b? The is throwing me off, can you help?1 solutions Answer 102445 by checkley77(12569)   on 2008-05-08 20:23:17 (Show Source): You can put this solution on YOUR website!Thank you for this answer. Can you explain how to get data points to graph from this equation? I promise I am not being intentionally dense. To get any points to graph all you have to do is set x to any value & saolve for y [f(x)] example: let x=1 -3*1^2+1-5 -3*1+1-5 -3+1-5=-7 the y value when x=1 or (1,-7) let x=-2 -3*-2^2-2-5 -3*4-2-5 -12-2-5=-19 the y value for x-=2 (-2,-19) hope this helps --------------------------------------------------- f(x)=-3x^2+x-5 (graph 300x200 pixels, x from -6 to 5, y from -25 to 10, -3x^2 +x -5).
 Radicals/140741: This question is from textbook I need help solving the proportion X/X^2+4=7/5x. please and thank you1 solutions Answer 102444 by checkley77(12569)   on 2008-05-08 20:20:07 (Show Source): You can put this solution on YOUR website!YOU SHOULD USE ( ) IN THESE TYPE OF EQUATIONS BECAUSE THERE ARE MULTIPLE WAYS OF INTERPRETING THEM AS YOU CAN SEE BELOW. -------------------------------------------- X/X^2+4=7/5x. IF THIS EQUATION IS: X/(X^2+4)=(7/5X) THEN: 7(X^2+4)=5X^2 7X^2+28-5X^2=0 2X^2=28 X^2=28/2 X62=14 X=SQRT14 X=3.74 ANSWER. ----------------------------------- IF THIS EQUATION IS (X/X^2)+4=7X/5 THEN: (1/X)+4=7X/5 (1+4X)/X=7X/5 X*7X=5(1+4X) 7X^2=5+20X 7X^2-20X-5=0 USING THE QUADRATIC EQUATIONWE GET: X=3.09 & X=-.231 ------------------------------------------- IF THE EQUATUON IS: X/(X^2+4)=7X/5 THEN: 7X(X^2+4)=5X 7X^3+28X-5X=0 7X^3+23X=0 X(7X+23)=0 X=0 ANSWER. 7X+23=0 7X=-23 X=-23/7 ANSWER.
 Equations/140738: i know how to do equations the easy way, for example, one of my questions is- k divided by negative 5 equals negative 5. so k=1 because 1 times negative 5 equals -5. but my teacher wants me to show my work the mathematical way, but we had a sub today who did not explain to me well at all the mathematical way. so can you help me? Thank so very much for your time. Shannon1 solutions Answer 102442 by checkley77(12569)   on 2008-05-08 20:01:21 (Show Source): You can put this solution on YOUR website!Sorry I don't know of any longer method to solve this problem. k/-5=-5 cross multiply k=-5*-5 k=25 answer. How did you get 1??????
 Linear-equations/140744: Graphing a linear equation y=3x+5 1 solutions Answer 102441 by checkley77(12569)   on 2008-05-08 19:56:47 (Show Source): You can put this solution on YOUR website!Y=3X+5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x +5).
 Linear_Equations_And_Systems_Word_Problems/140755: can you help me with this problem? it is... the perimeter of a rectangle is 160ft. one fourth the length is the same as twice the width. find the dimension of the rectangle. 1 solutions Answer 102440 by checkley77(12569)   on 2008-05-08 19:55:06 (Show Source): You can put this solution on YOUR website!PERIMETER=2L+2W L/4=2W L=8W 160=2*8W+2W 160=16W+2W 160=18W W=160/18 W=80/9 ANSWER FOR THE WIDTH. L=8*80/9 L=640/9 ANSWER FOR THE LENGTH. PROOF 160=2*80/9+2*640/9 160=160/9+1280/9 160=1440/9 160=160
 Linear-equations/140757: This question is from textbook algebra 1 How to graph linear equations.1 solutions Answer 102439 by checkley77(12569)   on 2008-05-08 19:47:31 (Show Source): You can put this solution on YOUR website!Given the line equation (Y=mX+b) or y=-2x+6 we have the following graph: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x +6).
 Graphs/140758: This question is from textbook algebra 1 How to graph linear equations.1 solutions Answer 102437 by checkley77(12569)   on 2008-05-08 19:45:41 (Show Source): You can put this solution on YOUR website!Given a linear equation (Y=mX+b) like Y=3X-5 with a slope (m=3) & a y intercept (b=-5) results in the following graph: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -5).
 Volume/140759: A round swimming pool has a diameter of 20 feet and is 4 feet tall. How much water will the pool hold?1 solutions Answer 102435 by checkley77(12569)   on 2008-05-08 19:41:04 (Show Source): You can put this solution on YOUR website!pi*r^2*h=3.14*10^2*4=1,256 ft.^3 is the volume of the pool.
 Probability-and-statistics/140760: y=-2/5 x-18 2x-3y=22 1 solutions Answer 102432 by checkley77(12569)   on 2008-05-08 19:36:55 (Show Source): You can put this solution on YOUR website!y=-2/5x-18 2x-3y=22 2x-3(-2x/5-18)=22 2x+6x/5+54=22 (10x+6x)/5=22-54 16x/5=-32 16x=5*-32 16x=-160 x=-160/16 x=-10 answer. y=-2/5*-10-18 y=20/5-18 y=4-18 y=-14 answer. proof: 2*-10-3*-14=22 -20+42=22 22=22
 Polynomials-and-rational-expressions/140735: The sum of the squares of two consecutive negative integers is 100. Find the integers. (I got the answer but i don't know how to solve it, I did guess and check)1 solutions Answer 102425 by checkley77(12569)   on 2008-05-08 16:35:56 (Show Source): You can put this solution on YOUR website!thnks but I got 8 and 13 -------------------------------------------- Can't be the correct answers because they are not consecutive integers and they don't work in the proof: 8^2+13^2=64+169=233 not 100. ------------------------------------------- (-x)^2+(-x+1)^2=100 x^2+x^2-2x+1=100 2x^2-2x+1-100=0 x^2-2x-99=0 using the quadratic equation we get: x=(2+-sqrt[-2^2-4*2*-99])/2*2 x=(2+-sqrt[4+792)/4 x=(2+-sqrt796)/4 x=(2+-28.2)/4 x=(2-28.2)/4 x=-26.2/4 x=-6.55 answer. -6.55+1=-5.55 answer.
 Exponents-negative-and-fractional/140736: This question is from textbook 3.6*10^151 solutions Answer 102424 by checkley77(12569)   on 2008-05-08 16:15:17 (Show Source): You can put this solution on YOUR website!3.6*10^15=3,600,000,000,000,000
 Matrices-and-determiminant/140708: SOLVE USING THE SQUARE ROOT PROPERTY: -2(x-2)^2= -6 HERE I'M CONFUSED ON WHAT ALL TO SQUARE??? DO I SQUARE EVERTHING ON THE RIGHT OR WHAT PLEASE HELP AS SOON AS YOU CAN... TAHNKS1 solutions Answer 102423 by checkley77(12569)   on 2008-05-08 16:13:30 (Show Source): You can put this solution on YOUR website!-2(x-2)^2=-6 divide both sides by -2 (x-2)^2=-6/-2 (x-2)^2=3 now take the square root of both sides x-2=sqrt3 x=sqrt3+2 x=1.73+2 x=3.73 answer.
 Linear-equations/140726: Please help me in graphing the following equation. -3y + 12x =18 Your assistance in this matter is greatly appreciated. Thank You.1 solutions Answer 102421 by checkley77(12569)   on 2008-05-08 15:54:33 (Show Source): You can put this solution on YOUR website!-3y+12x=18 -3Y=-12X+18 Y=-12X/-3+18/-3 Y=4X-6 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -6).
 Matrices-and-determiminant/140728: SOLVE BY COMPETING THE SQUARE: x^2-6x+12=0 PLEASE HELP... I KNOW HOW TO USE THE QUADRATIC FORMULA... BUT I DO NOT KNOW HOW TO DO THE COMPLETING THE SQUARE...1 solutions Answer 102419 by checkley77(12569)   on 2008-05-08 15:51:24 (Show Source): You can put this solution on YOUR website!x^2-6x+12=0 FIRST REMIOVE THE 12 OVER TO THE RIGHT SIDE OF THE = SIGN. X^2-6X=12 NOW CALCULATE THE NUMBER TO COMPLETE THE SQUARE. (6/2)^2=3^2=9 WHICH IS THE MISSING TERM THAT MUST BE ADDED TO EACH SIDE OF THE EQUATION X^2-6X+9=12+9 (X-3)^2=21 TAKE THE SQUARE ROOT OF BOTH SIDES X-3=SQRT21 ADD 3 TO BOTH SIDES X=SQRT21+3 X=4.58+3 X=7.58 ANSWER.
 Expressions-with-variables/140661: Write the algebraic expression that coresponds to five times the difference of a number and 12.________________.1 solutions Answer 102387 by checkley77(12569)   on 2008-05-08 08:25:19 (Show Source): You can put this solution on YOUR website!5(x-12) answer.
 Linear-equations/140674: I need some assistance, please show me how to graph this equation. 4x-1=3x+15 This is the formula that I came up with in answer to a word problem. I worked it out and came up with x=16. I then graphed it as a strait line by coming up with various points for y. The problem was sent back as needing to be revised. The equation and answer was fine. This is the comment they made: The algebraic solution is correct. To solve the equation graphically, notice that it is made up of two functions, y=4x-1 and y=3x+15. The solution is at the intersection of these two lines. Be sure to show the intersection on the graph. Can anyone tell me how to do this, there are more problems like this coming up and I want to get them right the first time.1 solutions Answer 102386 by checkley77(12569)   on 2008-05-08 08:23:42 (Show Source): You can put this solution on YOUR website!The proper equations for these 2 lines are; y=4x-1 (red line) y=3x+15 (green line) (graph 300x200 pixels, x from -6 to 25, y from -10 to 80, of TWO functions 4x -1 and 3x +15). ANSWER (16,63)
 Graphs/140678: Graph the Function y = x2+2/x-11 solutions Answer 102385 by checkley77(12569)   on 2008-05-08 08:15:15 (Show Source): You can put this solution on YOUR website!y=x2+2/x-1 (graph 300x200 pixels, x from -6 to 5, y from -20 to 20, x^2 +2/x +1).
 Linear_Equations_And_Systems_Word_Problems/140675: I need assistance with an equation. Any help would be appreciated. The equation C= 2.50x +300, the equation represents the total cost to run Johnny's Pizza place for a day. C symbolizes the total cost to open the pizza place, and x stands for the number of pizzas sold. I need to find the y-intercept of this graph and graph the equation. 1 solutions Answer 102384 by checkley77(12569)   on 2008-05-08 08:12:37 (Show Source): You can put this solution on YOUR website!C=2.50x+300 (graph 300x300 pixels, x from -180 to 5, y from -10 to 330, 2.5x +300).
 Quadratic_Equations/140676: I need to solve 5x+4y=12 for y. I have tried 5-5x+4y=12-5 4y/4=7/4 From there I'm stuck and I not sure if that is even right because I don't know how to check my work for this type of equation. Thanks, Julie.1 solutions Answer 102383 by checkley77(12569)   on 2008-05-08 08:08:23 (Show Source): You can put this solution on YOUR website!QUESTION? WHY DID YOU DROP THE X TERM? --------------------------------------------------- 5-5x+4y=12 SUBTRACT 5 & ADD 5X 4Y=5X+12-5 COMBINE THE INTEGERS 4Y=5X+7 DIVIDE BY 4 Y=5X/4+7/4 ANSWER.
 Mixture_Word_Problems/140580: How much pure water must be mixed with 9 pints of %60 developer to produce a mixture that is %19 developer?1 solutions Answer 102382 by checkley77(12569)   on 2008-05-08 07:58:58 (Show Source): You can put this solution on YOUR website!9*.6+X=.19(X+9) .54+X=.19X+1.71 X+.19X=1.71-.54 .81X=1.17 X=1.17/.81 X=1.4444 PINTS OF WATER SHOULD BE ADDED. PROOF: .54+1.444=.19(9+1.444) 1.984=.19*10.444 1.984=1.984
 Mixture_Word_Problems/140581: How much pure water must be mixed with 9 pints of %60 developer to produce a mixture that is %19 developer?1 solutions Answer 102381 by checkley77(12569)   on 2008-05-08 07:57:45 (Show Source): You can put this solution on YOUR website!9*.6+X=.19(X+9) .54+X=.19X+1.71 X+.19X=1.71-.54 .81X=1.17 X=1.17/.81 X=1.4444 PINTS OF WATER SHOULD BE ADDED. PROOF: .54+1.444=.19(9+1.444) 1.984=.19*10.444 1.984=1.984
 Equations/140620: how do u find the perimeter of a triangle with the angles of 12cm ,18cm, 19cm and a height of 12cm1 solutions Answer 102380 by checkley77(12569)   on 2008-05-08 07:49:52 (Show Source): You can put this solution on YOUR website!PROBLEM: angles are not masured in cm. They are measured in degrees. REDEFINE & RESUBMIT.
 Equations/140647: Tutor can you help me with the following math problem? Find the exact solutions to 5x^2+17x+6=01 solutions Answer 102379 by checkley77(12569)   on 2008-05-08 07:45:40 (Show Source): You can put this solution on YOUR website!5x^2+17x+6=0 (5x+2)(x+3)=0 5x+2=0 5x=-2 x=-2/5 x=-.4 answer. x+3=0 x=-3 answer.
 Expressions-with-variables/140666: Evaluate cd(d to the 2nd power - c) if d = -1 and c=21 solutions Answer 102376 by checkley77(12569)   on 2008-05-08 07:40:31 (Show Source): You can put this solution on YOUR website!d=-1 & c=2 cd(d^2)-c 2*-1(-1)^2-2 -2*1-2 -2-2=-4 answer.
 Expressions-with-variables/140667: Perform the indicated operations. Simplify: -3 to the 2nd power + (-2) to the second power.1 solutions Answer 102374 by checkley77(12569)   on 2008-05-08 07:36:43 (Show Source): You can put this solution on YOUR website!-3^2+(-2)^2 9+(4)=13 answer.
 Graphs/140570: Sketch the graph of the function- y= 3/x+2 +41 solutions Answer 102319 by checkley77(12569)   on 2008-05-07 18:34:11 (Show Source): You can put this solution on YOUR website!Y=3/(X+2)+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3/(x+2) +4).
 Square-cubic-other-roots/140577: This question is from textbook Intermiate Algebra What is the square root of .0001, x^16, 38, 121, and 4/81?1 solutions Answer 102317 by checkley77(12569)   on 2008-05-07 18:31:14 (Show Source): You can put this solution on YOUR website!SQRT(.0001)=.01 ANSWER. SQRT(x^16)=X^8 ANSWER. SQRT(38)=6.16 ANSWER. SQRT(121)=11 ANSWER. SQRT(4/81)=2/9 ANSWER.
 Radicals/140520: a right triangle has sides of 5 in and 5 in . Find the hypotenuse1 solutions Answer 102316 by checkley77(12569)   on 2008-05-07 18:27:28 (Show Source): You can put this solution on YOUR website!5^2+5^2=H^2 25+25=H^2 H^2=50 H=SQRT50 H=7.07 ANSWER FOR THE HYPOTENUSE.
 Radicals/140522: The hypotenuse of a right triangle is 70 ft and one leg is 25 ft. Find the length of the other side. 1 solutions Answer 102315 by checkley77(12569)   on 2008-05-07 18:25:54 (Show Source): You can put this solution on YOUR website!X^2+25^2=70^2 X^2+625=4900 X^2=4900-625 X^2=4275 X=SQRT4275 X=65.38 ANSWER.