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# Recent problems solved by 'checkley75'

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 Graphs/72141: The sides of an angle are parts of two lines whoes equations are y = -3/2x - 6 and y = 2/3x + 7. Find the coordinates of the vertex of the angle.1 solutions Answer 51562 by checkley75(3666)   on 2007-02-25 16:13:57 (Show Source): You can put this solution on YOUR website!y=-3x/2-6 now substitute (-3x/2-6) for y in the other equation & solve for x -3x/2-6=2x/3+7 -3x/2-2x/3=7+6 (-9x-4x)/6=13 -13x/6=-13 -13x=13*6 -13x=78 x=78/-13 x=-6 answer now substitute -6 for x and solve for y y=2*-6/3+7 y=-12/3+7 y=-4+7 y=3 answer (graph 200x200 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = -3x/2 -6 and y = 2x/3 +7).
 Length-and-distance/72156: find the midpoint of the segment with the endpoints (square root of 96 and square root of 3) and ( square root of 6 and the square root of 12)1 solutions Answer 51560 by checkley75(3666)   on 2007-02-25 16:01:50 (Show Source): You can put this solution on YOUR website!(sqrt96-sqrt3)/2=(8-1.732)/2=6.2679/2=3.134 is the mid point. ------------------------------------------------------------------- (sqrt12-sqrt6)/2=(3.464-2.45)/2=1.014/2=.507
 Percentage-and-ratio-word-problems/72142: This question is from textbook Algebra and Trigonometry: Structure and Method Because of traffic Maria could average only 40 km/h for the first 20% of her trip, but she averaged 75 km/h for the whole trip. What was her average speed for the last 80% of her trip?1 solutions Answer 51559 by checkley75(3666)   on 2007-02-25 15:54:47 (Show Source): You can put this solution on YOUR website!40*.2+x*.8=75 8+.8x=75 .8x=75-8 .8x=67 x=67/.8 x=83.75 km/h proof .2*40+.8*83.75=75 8+67=75 75=75
 Graphs/72143: The length of the base of an isosceles triangle is 2 centimemters shorter than the length of either of the other sides. If the perimeter of the triangle is 16 centimeters, find the length of each side of the triangle.1 solutions Answer 51558 by checkley75(3666)   on 2007-02-25 15:40:59 (Show Source): You can put this solution on YOUR website!b+2s=16 b=s-2 thus s-2+2s=16 3s=16+2 3s=18 s=18/3 s=6 answer for the length of the sides. proof (6-2)+2*6=16 4+12=16 16=16
 Graphs/72150: Graph a line that passes through (4, -2) and is perpendicular to a line whose slope is -3.1 solutions Answer 51557 by checkley75(3666)   on 2007-02-25 15:37:15 (Show Source): You can put this solution on YOUR website!a line that is perpendicular to a line with a slope of -3 has a slope of 1/3 (the negative reciprical of the other slope. thus the equation of this line through (4,-2) is: -2=4/3+b b=-2-4/3 b=-10/3 thus the equation is y=x/3-10/3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x/3 -10/3).
 Graphs/72155: Reliable Rentals rents cars for \$12.95 per day plus \$0.15 per mile. Luic romero works for a company that limits expenses for car rentals to \$90 per day. What is the mazimum number of miles that Mr. Romero can drive each day?1 solutions Answer 51556 by checkley75(3666)   on 2007-02-25 15:32:07 (Show Source): You can put this solution on YOUR website!12.95+.15x=90.00 .15x=90.00-12.95 .15x=77.05 x=77.05/.15 x=513.66667 miles is the max Luic can drive per day without exceeding the limit of \$90.00.
 Graphs/72154: Write an equation for the line that passes through (-7, 9) and is perpendicualr to the y-axis.1 solutions Answer 51554 by checkley75(3666)   on 2007-02-25 15:27:48 (Show Source): You can put this solution on YOUR website!seeing as a perpendicular line to the y axis doesn't pass through the x axis thus the equation with a y intercept (b) of 9 is: y=9 as demonstrated by the graphing of (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 9).
 Complex_Numbers/72088: Can you help me solve this: Find each sum or difference. (17x - 9y) - 11y 1 solutions Answer 51536 by checkley75(3666)   on 2007-02-25 08:51:45 (Show Source): You can put this solution on YOUR website!17x-9y-11y 17x-20y answer.
 Inequalities/72107: Solve this inequalty: y < 3x -4 Note there is a line under the less than sign1 solutions Answer 51535 by checkley75(3666)   on 2007-02-25 08:49:48 (Show Source): You can put this solution on YOUR website!y<=3x-4 y=3x-4 is a line equation ploted it looks like this: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y < 3x -4).
 Expressions-with-variables/72019: A long-distance phone call costs \$1.28 for the first minute and \$0.78 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding \$8. 1 solutions Answer 51508 by checkley75(3666)   on 2007-02-24 19:21:10 (Show Source): You can put this solution on YOUR website!1.28+.78x<=8.00 (x being the number of minutes used)
 Equations/72021: Could someone please help me solve and show the work associated: Question 41 Solve the following expression when x = 4, and y = -3. 2(x-2y) Question 44 Find: - 8xy(4x2y + 7x - 6y2) - 12x2 - x2 - 8xy2 1 solutions Answer 51507 by checkley75(3666)   on 2007-02-24 19:18:28 (Show Source): You can put this solution on YOUR website!41) 2(x-2y) 2(4-2*-3) 2(4+6) 2(10) 20 ---------------------------------------- 44) -8xy(4x^2y+7x-6y^2)-12x^2-x^2-8xy^2 -32x^3y^2-56x^2y+48xy^3-12x^2-x^2-8xy^2 -32x^3y^2-56x^2y-13x^2-8xy^2+48xy^3
 Equations/71977: x+3y=12 2x-4y=24 1 solutions Answer 51501 by checkley75(3666)   on 2007-02-24 19:04:31 (Show Source): You can put this solution on YOUR website!x+3y=12, x=-3y+12 now substitute (-3y+12) for x and solve for y 2(-3y+12)-4y=24 -6y+24-4y=24 -10y=24-24 -10y=0 y=0 answer. now replace y by 0 and solve for x x+3*y=12 x+0=12 x=12 answer. proof 2*12-4*0=24 24=24
 Graphs/71979: Solve this inequalities: -2x - 34 > - 141 solutions Answer 51500 by checkley75(3666)   on 2007-02-24 19:00:01 (Show Source): You can put this solution on YOUR website!-2x-34>-14 -2x>-14+34 -2x>20 x<20/-2 x<-10 answer proof: set x=-11 -2*-11-34>-14 22-34>-14 -12>-14
 Graphs/71980: Solve this inequalities: -4x > 201 solutions Answer 51497 by checkley75(3666)   on 2007-02-24 18:56:27 (Show Source): You can put this solution on YOUR website!-4x>20 x<20/-4 x<-5 answer: proof; set x=-6 -4*-6>20 24>20
 Graphs/72002: stan idon't knowwhat youmean by the answer you gave me on lenear equations 8x-4y=16 4x=5y=22 you said multiply 2nd by 2 to get 3rd 8x+5y=22 how did you get 2 and so on i need more explanation or i wont understand 1 solutions Answer 51494 by checkley75(3666)   on 2007-02-24 18:51:31 (Show Source): You can put this solution on YOUR website!8x-4y=16 4x+5y=22 if this is your second equation ( first= should be a +???) then ultiply the second equation by -2 and add. 8x-4y=16 -8x-10y=-44 ------------------------------------- -14y=-28 y=-28/-14 y=2 answer. now substitute -2 for y & solve for x 8x-4*2=16 8x-8=16 8x=16+8 8x=24 x=24/8 x=3 answer. proof 4*3+5*2=22 12+10=22 22=22
 Polynomials-and-rational-expressions/72008: can you please help me solve this: Place the following polynomials in the correct ascending order in terms of a. 11x^2 + 7ax^3 -3xa^4 + 2a^2 - 3a^3x 1 solutions Answer 51493 by checkley75(3666)   on 2007-02-24 18:42:06 (Show Source): You can put this solution on YOUR website!11x^2+7ax^3+2a^2-3a^3x-3xa^4
 Complex_Numbers/72009: can you please help me solve this: Find the product for each of the following (use FOIL)(3x + 4)(2x^2 - 5x + 10) 1 solutions Answer 51492 by checkley75(3666)   on 2007-02-24 18:36:45 (Show Source): You can put this solution on YOUR website!(3x+4)(2x^2-5x+10) 6x^3-15x^2+30x+8x^2-20x+40 6x^3-7x^2+10x+40
 Inequalities/72015: Please explain and show work Thanks Question 23 Find the product (x+5)(x+7). Question 29 Solve the inequality and describe the graph of the solution. -3x + 4 > 7 Question 31 Which of the following relations is NOT a function? (2,1), (1,-2), (-3,2), (2,-3) (2,-1), (-1,2), (-2,3), (3,-2) (-3,-2), (-1,0), (0,1), (1,2) (-2,1), (-1,2), (1,1), (2,3) Question 36 What is the degree of this polynomial: 3x3 - 2y4 + 2xy2 1 solutions Answer 51489 by checkley75(3666)   on 2007-02-24 18:29:20 (Show Source): You can put this solution on YOUR website!23) (x+5)(x+7) x^2+7x+5x+35 x^2+12x+35 ------------------------------ 29) -3x+4>7 -3x>7-4 -3x>3 x<3/-3 x<-1 proof:set x=-2 -3*-2+4>7 6+4>7 10>7 --------------------------------------- 31) the first and last set are not functions. --------------------------------------- 36) this is a 4th degree equation.
 Inequalities/71868: Solve the following application and show your work. Solve and graph the solution set of the following inequality. 7(x - 3) > 5x - 14 1 solutions Answer 51471 by checkley75(3666)   on 2007-02-24 14:13:07 (Show Source): You can put this solution on YOUR website!7(X-3)>5X-14 7X-21>5X-14 7X-5X>21-14 2X>7 X>7/2 X>3.5 ANSWER PROOF USING X=4 7(4-3)>5*4-14 7*1>20-14 7>6
 Money_Word_Problems/71944: Suppose you bougt a car in mid-2006 for 10,000. If its value in current dollars depreciates steadily at 12% per year, what will its value in current dollars be in mid-20091 solutions Answer 51469 by checkley75(3666)   on 2007-02-24 14:01:37 (Show Source): You can put this solution on YOUR website!A DEPRECIATION OF 12% IS THE SAME AS A REDUCED VALUE OF 88% OR .88 THUS: {[10000*.88].88}.88 {[8800*.88].88} {7744*.88) 6814.72 IS THE VALUE AFTER 3 YEARS OF A 12% PER YEAR DEPRECIATION.
 Linear-equations/71978: Which of the following is an equation of a line the passes through the point (-4, -2) and has a slope of 3 Answer:y + 2 = 3(x + 4) I put into solver and was given a different answer. Can you show the work to arrive at problem? Thanks 1 solutions Answer 51468 by checkley75(3666)   on 2007-02-24 13:52:30 (Show Source): You can put this solution on YOUR website!A SLOPE OF 3 AND PASSING THROUGH (-4,-2) IS Y=3X+b NOW SUBSTITUTE THE POINT VALUES FOR X & Y & SOLVE FOR THE Y INTERCEPT(b) -2=3*-4+b -2=-12+b b=-2+12 b=10 THUS THE EQUATION IS Y=3X+10 --------------------------------------------- YOUR ANSWER IS CORRECT BUT IN A DIFFERENT FORM Y+2=3(X+4) Y+2=3X+12 Y=3X+12-2 Y=3X+10 WHICH IS THE SAME AS MY ANSWER.
 Systems-of-equations/71990: Solve this inequalities: 5x - 54 < 36 - 3x (note there is a line under the less than sign)1 solutions Answer 51467 by checkley75(3666)   on 2007-02-24 13:42:13 (Show Source): You can put this solution on YOUR website!5X-54<36-3X 5X+3X<36+54 8X<90 X<90/8 X<11.25 OR EQUAL TO. PROOF USING X=11 5*11-54<36-3*11 55-54<36-33 1<3
 Graphs/71981: Solve this inequalities: 4/5x - 18 < 21 solutions Answer 51466 by checkley75(3666)   on 2007-02-24 13:37:45 (Show Source): You can put this solution on YOUR website!4/5X-18<2 4/5X<2+18 4/5X<20 4X<100 X<100/4 X<25 PROOF USING X=24 4/5*24-18<2 96/5-18<2 19.2-18<2 1.2<2
 Linear-equations/71985: Write an equation of a horizontal line passing through the two points (5,-1) and (4,-1). Do not use any spaces in your answer and show all work SLOPE=(-1+1)/(4-5) 0/-1 REPRESENTS A SLOPE OF 0 OR AN HORIZONTAL LINE THROUGH Y=-1 Y=-1 IS THE EQUATION OF THIS LINE WITH A ZERO SLOPE THROUGH THE POINTS (5,-1)(4,-1) Thanks1 solutions Answer 51465 by checkley75(3666)   on 2007-02-24 13:11:32 (Show Source):
 Graphs/71983: This question is from textbook ALGEBRA need help could u explain each step thanks 2x-y=6 x=13-2y equations by substitution thank you so much homework1 solutions Answer 51464 by checkley75(3666)   on 2007-02-24 13:07:23 (Show Source): You can put this solution on YOUR website!X=13-2Y NOW REPLACE X BY (13-2Y) AND SOLVE FOR Y 2(13-2Y)-Y=6 26-4Y-Y=6 -5Y=6-26 -5Y=-20 Y=-20/-5 Y=4 ANSWER. NOW REPLACE Y WITH 5 AND SOLVE FOR X X=13-2*4 X=13-8 X=5 ANSWER. PROOF 3=13-2*+5 3=13-10 3=3
 Quadratic_Equations/71984: Can you help me factorise 3x + 6y =1 solutions Answer 51463 by checkley75(3666)   on 2007-02-24 12:57:03 (Show Source): You can put this solution on YOUR website!BY DIVIDING BOTH TERMS BY 3 WE GET 3(X+2Y) WHICH ALL THE FACTORING THAT CAN BE DONE IN THIS EXAMPLE.
 Graphs/71982: Solve this equalities: -2x - 34 > -141 solutions Answer 51462 by checkley75(3666)   on 2007-02-24 12:54:46 (Show Source): You can put this solution on YOUR website!-2X-34>-14 -2X>-14+34 -2X>20 DIVIDE BOTH SIDES BY -2 AND CHANGE THE > SIGN TO < X<20/-2 X<-10 PROOF LET X=-11 -2*-11-34>-14 22-34>-14 -12>-14
 Linear_Equations_And_Systems_Word_Problems/71802: This question is from textbook Algebra I really need help with the promblem 3u+4w=9 -3u-2=-3 Its like everytime i try i can't never find the right anawer for it so can oplease help with this math promblem1 solutions Answer 51430 by checkley75(3666)   on 2007-02-23 21:56:21 (Show Source): You can put this solution on YOUR website!-3u-2=-3 -3u=-3+2 -3u=-1 u=-1/-3 u=1/3 answer. now substitute 1/3 for u & solve for w 3*1/3+4w=9 1+4w=9 4w=9-1 4w=8 w=8/4 w=2 answer.
 Graphs/71805: WRITE Y=13.6(X-1902)+158.2 IN INTERCEPT FORM1 solutions Answer 51429 by checkley75(3666)   on 2007-02-23 21:52:24 (Show Source): You can put this solution on YOUR website!y=13.6(x-1902)+158.2 y=13.6x-25,867.2+158.2 y=13.6x-25,709
 Graphs/71819: Solve the system by graphing. x - y = 5 x + y = 31 solutions Answer 51428 by checkley75(3666)   on 2007-02-23 21:48:17 (Show Source): You can put this solution on YOUR website!x-y=5, -y=-x=5, y=x-5 x+y=3, y=-x+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x -5 and y = -x +3).
 Graphs/71913: x-2y = 8 3x - 2y = 121 solutions Answer 51427 by checkley75(3666)   on 2007-02-23 21:38:11 (Show Source): You can put this solution on YOUR website!x-2y=8, -2y=-x+8, y=-x/-2+8/-2, y=x/2-4 3x-2y=12, -2y=-3x+12, y=-3x/-2+12/-2, y=3x/2-6 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/2 -4 and y = 3x/2 -6).