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# Recent problems solved by 'checkley71'

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 Functions/58905: can you help me with this fuction plz how do you work out x of this fuction machien here it is x-x2-+12=5121 solutions Answer 40450 by checkley71(8403)   on 2006-10-30 17:54:37 (Show Source): You can put this solution on YOUR website!IF YOU HAVE THE RIGHT EQUATION AS FOLLOWS -- X-X^2-12=512 THEN -X^2-X-514=0 REMOVING THE - SIGNS BY MULTIPLYING ALL TERMS BY -1 WE GET X^2+X+514=0 NO SIMPLE FACTORING SO WE NEED THE QUADRATIC FORMULA X=[-B+-SQRT(B^2-4AC)]/2A X=[-1+-SQRT(1-4*1*514)]/2 X=[-1+-SQRT(1-2056)]/2 X=[-1+-SQRT(-2055)]/2 X=-1/2+45.332i/2 X=-.5+22.666i AND X=-1/2-45.332i/2 X=-.5-22.666i
 Complex_Numbers/58970: sketch the parabola label the intercepts, axis of symmetry, and vertex. i don't understand how to find any of that or how to graph it on a graph if anyone can help please try thank you 1 solutions Answer 40448 by checkley71(8403)   on 2006-10-30 17:43:18 (Show Source): You can put this solution on YOUR website!ARE YOU SURE YOU COPYED THE EQUATION CORRECTLY? I GET SOLUTIONS OF -2+1.1547i & -2-1.1547i BOTH OF THESE ANSWERS ARE IMMAGINARY NUMBERS -- VERY TOUGH TO GRAPH.
 Linear-systems/58913: Solve: 4x^2+1=2x1 solutions Answer 40447 by checkley71(8403)   on 2006-10-30 17:34:55 (Show Source): You can put this solution on YOUR website!4X^2+1=2X 4X^2-2X+1=0 USING THE QUADRATIC EQUATION X=(-B+-SQRT[B^2-4AC])/2A WE GET X=(2+-SQRT[4-4*4*1])/8 X=(2+-SQRT[4-16])/8 X=(2+-SQRT[-12])/8 X=(2+-3.464i)/8 X=2/8+3.464i/8 X=.25+.433i AND X=2/8-3.464i/8 X=.25-.433i
 Vectors/58963: can tou please help me to solve dthis fractions of adding 8 11/15+1 14/15 38 17/20 + 51 9/20 thank you 1 solutions Answer 40445 by checkley71(8403)   on 2006-10-30 17:19:47 (Show Source): You can put this solution on YOUR website!8 11/15 1 14/15 --------------------- 9 25/15 OR 9+1 10/15 OR 10 10/15 OR 10 2/3 38 17/20 51 9/20 ---------------- 89 26/20 OR 89+1 6/20 OR 90 6/20 OR 90 3/10
 Graphs/58929: 32) the following graph shows the late fee for 2 day care centers. Which one charges the higher late fee? Explain what the slopes represent in this situation. pg 237#38) The coordinates of the vertices of the triangle ABC are : A(3,8), B(5,4) and C(-3,3). Is ABC a right triangle? Explain. Idon't know how to show the others. Please help me!1 solutions Answer 40444 by checkley71(8403)   on 2006-10-30 17:15:01 (Show Source): You can put this solution on YOUR website!FOR THE PROBLEM OF THE RIGHT ANGLE (?) TRIANGLE. PLOT THE THREE POINTS AND CHECK WITH A PROTRACTOR FOR A 90 DEGREE ANGLE. YOU WILL FIND NONE. ERGO THIS IS NOT A RIGHT TRIANGLE. I GET ANGLES OF ABOUT 70,80 & 30 DEGREES.
 Complex_Numbers/58958: find an equation of the line through (0,4) and perpindicular to 3x-2y=71 solutions Answer 40443 by checkley71(8403)   on 2006-10-30 17:04:27 (Show Source): You can put this solution on YOUR website!3X-2Y=7 -2Y=-3X+7 Y=3/2X-7/2 THUS THIS LINE HAS A SLOPE OF 3/2 A PERPENDICULAR LINE WOULD HAVE A SLOPE OF -2/3 (A NEGATIVE RECIPRICAL) THUS Y=mX+b FOR A LINE THROUGH (0,4) HAS A SLOPE OF -2/3 & A Y INTERCEPT OR 4 OR Y=-2/3X+4
 Triangles/58943: This question is from textbook geometry reasoning An isosceles triangle has a perimeter of 82 cm. The lengths of th legs of the triangle are represented by (3x + 2) and ( 5x - 14). Find the length of the base of the triangle?1 solutions Answer 40442 by checkley71(8403)   on 2006-10-30 16:57:24 (Show Source): You can put this solution on YOUR website!IF (3X+2) & (5X-14) ARE THE EQUAL SIDES THEN 3X+2=5X-14 -2X=-16 X=-16/-2 X=8 THUS THE EQUAL SIDES ARE 3*8+2=24+2=26 OR 5*8-14=40-14=26 SO 82=BASE+26+26 BASE=82-52 B=30 CM. 30+26+26=82 82=82
 real-numbers/58954: I'm confused about negative numbers when you add or subtract them. The problem I am stuck on is five/sixths subtract negative two/thirds? Please help. Kathryn1 solutions Answer 40440 by checkley71(8403)   on 2006-10-30 16:48:45 (Show Source): You can put this solution on YOUR website!5/6-(-2/3) A MINUS TIMES A MINUS EQUALS A PLUS SO: 5/6+2/3 NOW FIND A COMMON DENOMINATOR AND ADD 5/6+4/6=9/6=1 3/6 OR 1 1/2 OR 1.5
 Systems-of-equations/58950: hi, i need to re-arrange the formula to solve for x.... -2x+8y=16 heres what i have x=4y-8 but im not sure if this is correct1 solutions Answer 40439 by checkley71(8403)   on 2006-10-30 16:45:29 (Show Source): You can put this solution on YOUR website!-2X+8Y=16 TRANFERING THE 8Y TO THE LEFT SIDE OF THE EQUATION CHANGES ITS SIGN -2X=-8Y+16 NOW DIVIDE ALL TERMS BY (-2) YOU GET X=-8Y/-2+16/-2 OR X=4Y-8 YOU GOT IT RIGHT :)
 Exponents-negative-and-fractional/58947: 2x^3y _____ 4x^2y^31 solutions Answer 40438 by checkley71(8403)   on 2006-10-30 16:40:54 (Show Source): You can put this solution on YOUR website!2X^3Y/4X^2Y^3 FACTORING OUT ALL COMMON NUMBERS/ELEMENTS WE GET 2X^2Y(X)/2X^2Y(2Y^2) NOW CANCELLING OUT THESE COMMON FACTORS WE ARE LEFT WITH X/2Y^2
 Linear_Algebra/58946: 6x-y=-4 2x=2y=151 solutions Answer 40437 by checkley71(8403)   on 2006-10-30 16:35:20 (Show Source): You can put this solution on YOUR website!6X-Y=-4 2X+2Y=15 IF THE = BETWEEN THE X & THE 2 SHOULD BE A + & YOU WANT TO SOLVE THIS SET OF EQUATIONS THEN 6X-Y=-4 2X+2Y=15 NOW WE MULTIPLY THE FIRST EQAUTION BY 2 AND ADD THESE 2 EQUATIONS 12X-2Y=-8 ------------------------- 14X=7 X=7/14 X=.5 OR 1/2 SUBSTITUTING .5 FOR X IN THE SECOND EQUATION WE GET 2*.5+2Y=15 1+2Y=15 2Y=15-1 2Y=14 Y=14/2 Y=7 PROOF 6*.5-7=-4 3-7=-4 -4=-4
 Expressions-with-variables/58721: a+4/2 = a+4/a1 solutions Answer 40315 by checkley71(8403)   on 2006-10-29 15:40:16 (Show Source): You can put this solution on YOUR website!A+4/2=A+4/A A+2=A+4/A A-A-4/A=-2 -4/A=-2 -2A=-4 A=-4/-2 A=2 PROOF 2+4/2=2+4/2 2+2=2+2 4=4
 Exponents/58791: This question is from textbook Mathematics How do I divide exponents that have negitive bases? I have one problem that has it. It is -16 x to the fourth power divided by -24 x to the 2 power.1 solutions Answer 40314 by checkley71(8403)   on 2006-10-29 15:35:42 (Show Source): You can put this solution on YOUR website!-16X^4/-24X^2 FACTORING OUT (-8) & (X^2) FROM BOTH NUMERATOR & DENOMINATOR WE HAVE LEFT 2X^2/3
 Graphs/58780: Write the equation of the line that passes through point (–4, –16) with a slope of 3.1 solutions Answer 40312 by checkley71(8403)   on 2006-10-29 15:31:59 (Show Source): You can put this solution on YOUR website!Y=mX+b GIVEN A SLOPE OF 3 WE HAVE Y=3X+b GIVEN X=-4 & Y=-16 WE HAVE -16=3(-4)+b -16=-12+b b=-16+12 b=-4 THUS THE EQUATION FOR THIS LINE IS Y=3X-4
 Graphs/58785: Use the following tabe to answer the question.Population of Europe by Age Groups Population (in thousands) 1950 1970 1995 Age 0-14 143,175 166,367 139,464 Age 15-64 359,162 421,432 487,110 Age 65+ 44,981 68,642 101,338 Age 75+ 14,553 22,762 38,139 Total 547,318 656,441 727,912 Source: European Rural Development (ERD) Project. What percentage of Europe's population was in the age 75+ group in 1970? 1 solutions Answer 40308 by checkley71(8403)   on 2006-10-29 15:00:06 (Show Source): You can put this solution on YOUR website!22,762/656,441=3.46% WERE 75+ IN 1970
 Graphs/58782: Graph 2x – y = 4.1 solutions Answer 40305 by checkley71(8403)   on 2006-10-29 14:57:06 (Show Source): You can put this solution on YOUR website!2X-Y=4 -Y=-2X+4 Y=2X-4 SLOPE IS=2 AND THE Y INTERCEPT IS -4 SET Y=O & SOLVE FOR X WE GET 0=2X-4 2X=4 X=2 SO WE NOW HAVE TWO POINTS (2,0) & (0,-4) PLOT THESE 2 POINTS AND DRAW A LINE THROUGH THEM WITH A SLOPE OF 2
 Miscellaneous_Word_Problems/58755: . Big plane. A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind I the same amount as it flies 5 miles against the wind, then what is the wind speed? 1 solutions Answer 40304 by checkley71(8403)   on 2006-10-29 14:53:31 (Show Source): You can put this solution on YOUR website!7/(180+X)=5/(180-X) 5(180+X)=7(180-X) 900+5X=1260-7X 5X+7X=1260-900 12X=360 X=360/12 X=30 MPH IS THE WIND SPEED PROOF 7/(180+30)=5/(180-30) 7/210=5/150 5*210=7*150 1050=1050
 Linear-equations/58771: How do i solve 5x+9=301 solutions Answer 40302 by checkley71(8403)   on 2006-10-29 14:47:28 (Show Source): You can put this solution on YOUR website!5X+9=30 5X=30-9 5X=21 X=21/5 X=4.2 PROOF 5*4.2+9=30 21+9=30 30=30
 Travel_Word_Problems/58777: This question is from textbook Elementry and Intermediate algebra John can run his boat in the still water at a speed of 15 miles per hour. If he can go 12 miles downstream in the same time as it takes him to go 9 miles upstream, then what is the speed of the water currents? 1 solutions Answer 40300 by checkley71(8403)   on 2006-10-29 14:44:52 (Show Source): You can put this solution on YOUR website!12/(15+X)=9/(15-X) 9(15+X)=12(15-X) 135+9X=180-12X 9X+12X=180-135 21X=45 X=45/21 X=2.14 MPH IS THE SPEED OF THE WATER PROOF 12/(15+2.14)=9/(15-2.14) 12/17.14=9/12.86 .7=.7
 Linear_Algebra/58758: 2+5(2x+4)=11+3(x+6)1 solutions Answer 40299 by checkley71(8403)   on 2006-10-29 14:28:58 (Show Source): You can put this solution on YOUR website!2+5(2X+4)=11+3(X+6) 2+10X+20=11+3X+18 10X-3X=11+18-2-20 7X=7 X=7/7 X=1 PROOF 2+5(2*1+4)=11+3(1+6) 2+5(2+4)=11+3(7) 2+5(6)=11+21 2+30=32 32=32
 Functions/58670: This question is from textbook Solve the sysytems of equations by elimanation {x=3y=5 {2x=4y=8 and {5x=3y=8 {2x=4y=81 solutions Answer 40287 by checkley71(8403)   on 2006-10-29 13:23:11 (Show Source): You can put this solution on YOUR website!I BELIEVE YOU HAVE TOO MANY = SIGNS. EQUATIONS USUALLY HAVE ONLY 1 = SIGN. SUGGEST YOU CORRECT & SUBMIT.
 Linear-equations/58761: I am having problems understanding parabola grafting. Example, if I am given a problem that says: graph y=-2x (to the second power) How do I set up my table of solutions for x and y? 1 solutions Answer 40284 by checkley71(8403)   on 2006-10-29 13:11:27 (Show Source): You can put this solution on YOUR website!Y=-2X^2 SET X=0 THE Y=2*0^2 Y=O SO WHEN X=0 THEN Y=0 SET X=1 THEN Y=-2(1)^2 Y=-2*1 Y=-2 SO WHEN X=1 THEN Y=-2 SET X=2 THEN Y=-2(2)^2 Y=-2(4) Y=-8 SO WHEN X=2THEN Y=-8
 Quadratic_Equations/58745: x2+9x+20=01 solutions Answer 40282 by checkley71(8403)   on 2006-10-29 13:07:02 (Show Source): You can put this solution on YOUR website!X^2+9X+20=0 (X+4)(X+5)=0 X+4=0 X=-4 AND X+5=0 X=-5
 Travel_Word_Problems/58738: A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the speed of the wind?1 solutions Answer 40281 by checkley71(8403)   on 2006-10-29 12:57:41 (Show Source): You can put this solution on YOUR website!180/(x+5)=5 180/(x-5)=7 180/(x+5)+2=180/(x-5) (180+2X+10)/(x+5)=180/(X-5) (190+2X)/(X+5)=180/(X-5) 180(X+5)=(190+2X)(X-5) 180X+900=190X+2X^2-950-10X 2X^2+190X-10X-180X-950-900=0 2X^2-1850=0 X^2-925=0 (X-30.41)(X+30.41)=0 X-30.41=0 X=30.41 MPH FOR THE WIND. PROOF 180/(30.42+5)=5 180/35.41=5 5=5 180/(30.41-5)=7 180/25.41=7 7=7
 Quadratic_Equations/58746: x2-13x+22+01 solutions Answer 40278 by checkley71(8403)   on 2006-10-29 12:38:02 (Show Source): You can put this solution on YOUR website!x^2-13x+22=0 (x-11)(x-2)=0 x-11=0 x=11 and x-2=0 x=2
 Numeric_Fractions/58749: How do you add and subtract negative fractions1 solutions Answer 40277 by checkley71(8403)   on 2006-10-29 12:35:44 (Show Source): You can put this solution on YOUR website!-1/2-1/4=-3/4 CHANGE -1/2 TO -2/4 CREATING A COMMON DENOMINATOR SO YOU CAN ADD/SUBTRACT THESE FRACTIONS. -2/4-1/4=-3/4 -3/4=-3/4 -1/5+(-4/5)=-1 (+*-=-) -1/5-4/5=-5/5=-1
 Quadratic_Equations/58748: 2x2-5x=31 solutions Answer 40275 by checkley71(8403)   on 2006-10-29 12:29:41 (Show Source): You can put this solution on YOUR website!IF THE EQUATION IS 2X^2-5X=3 THEN 2X^2-5X-3=0 (2X+1)(X-3)=0 2X+1=0 2X=-1 X=-1/2 & X-3=0 X=3 PROOF 2(-1/2)^2-5*(-1/2)=3 2(1/4)+5/2=3 1/2+5/2=3 6/2=3 3=3 AND 2*3^2-5*3=3 2*9-15=3 18-15=3 3=3
 Matrices-and-determiminant/58742: please write the system of linear equations represented by the augmented matrix: [945|-2] [509|4] [850|2]1 solutions Answer 40274 by checkley71(8403)   on 2006-10-29 12:23:16 (Show Source): You can put this solution on YOUR website!9X+4Y+5Z=-2 5X+9Z=4 8X+5Y=2
 Matrices-and-determiminant/58743: use Cramer's rule to solve the given system: 2x+2y=32 2x-3y=-3 is it 7,9?1 solutions Answer 40273 by checkley71(8403)   on 2006-10-29 12:21:24 (Show Source): You can put this solution on YOUR website!ANSWER IS X=9 & Y=7.
 Matrices-and-determiminant/58744: using x, y, z and w, for the variables, write the system of linear equations represented by the given augmented matrix: 9 1 0 8|6 -1 5 1 0|-12 7 0 0 3|-9 0 4 0 -4|81 solutions Answer 40271 by checkley71(8403)   on 2006-10-29 12:18:37 (Show Source): You can put this solution on YOUR website!9X+Y+8W=6 -X+5Y+Z=-12 7X+3W=-9 4Y-4W=8
 Surface-area/58728: This question is from textbook Elementary and Intermediate Algebra The width of a rectangle is 3 inches less than one-half of its length. If the perimeter of the rectangle is 42 inches, find the area of the rectangle.1 solutions Answer 40270 by checkley71(8403)   on 2006-10-29 12:15:52 (Show Source): You can put this solution on YOUR website!2*LENGTH*2WIDTH=42 LENGTH=X WIDTH=(X/2)-3 THEN 2X+2(X/2-3)=42 2X+2X/2-6=42 (4X+2X)/2=42+6 6X/2=48 6X=96 X=16 WHICH IS THE LENGTH THEN WIDTH=16/2-3 OR WIDTH=8-3=5 PROOF 2*16+2*5=42 32+10=42 42=42