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Recent problems solved by 'checkley75'

checkley75 answered: 3664 problems
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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 sign 1 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 > - 14 1 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 > 20 1 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-2009 1 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 < 2 1 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) Thanks 1 solutions Answer 51465 by checkley75(3666)   on 2007-02-24 13:11:32 (Show Source): You can put this solution on YOUR website!

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 homework 1 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 > -14 1 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 promblem 1 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 FORM 1 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 = 3 1 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 = 12 1 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).