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Linear_Equations_And_Systems_Word_Problems/45067: Please help to show work. A business purchses a piece of equipment for $25,000. After 5 years, the equipment will be worth only $5,000. Write a linear equation that gives the value, V, of the equipment during the five years. 1 solutions Answer 29895 by Nate(3500)   on 2006-07-07 16:26:49 (Show Source): You can put this solution on YOUR website! P(0,25000) and P(5,5000) M = (y2 - y1)/(x2 - x1) = (25000 - 5000)/(0 - 5) = 20000/-5 = -4000 y = -4000x + 25000

Equations/45061: Please help to show the work. (1)Compute (a) (f+g)x, (b)(f*g)x, and f(g(x)) given f(x)= x^2-1 and g(x)=x+2. 1 solutions Answer 29892 by Nate(3500)   on 2006-07-07 16:23:53 (Show Source): You can put this solution on YOUR website! f(x) = x^2 - 1 and g(x) = x + 2 (f + g)x = x^2 - 1 + x + 2 (f + g)x = x^2 + x + 1 (f * g)x = (x^2 - 1)(x + 2) (f * g)x = x^3 + 2x^2 - x - 2 f[g(x)] = (x + 2)^2 - 1 f[g(x)] = x^2 + 4x + 3

Functions/45062: Help to show the work please. Find the (a) domain and range, (b) determine the intervals over which the function is increasing, decreasing, or constant and (c) determine any maximum or minimum values. f(x)=2-x^2 1 solutions Answer 29891 by Nate(3500)   on 2006-07-07 16:20:26 (Show Source): You can put this solution on YOUR website! f(x) = -x^2 + 2 Domain: all real numbers Range: x ---> -, y ---> - x ---> +, y ---> - Maximum Value: x = 0

Equations/45065: Please help to show the work find f(-3) when f(x) = 3/x+5 - 4/x-2 1 solutions Answer 29890 by Nate(3500)   on 2006-07-07 16:16:37 (Show Source): You can put this solution on YOUR website! find f(-3) when f(x) = 3/(x + 5) - 4/(x - 2) f(x) = 3/(x + 5) - 4/(x - 2) f(-3) = 3/(-3 + 5) - 4/(-3 - 2) f(-3) = 3/(2) - 4/(-5) f(-3) = 15/(10) + 8/(10) f(-3) = 23/10 = 2.3

Functions/45064: Please help to show work. Find the x and y intercepts of the following function. y =(x+5)(x-3) 1 solutions Answer 29889 by Nate(3500)   on 2006-07-07 16:14:04 (Show Source): You can put this solution on YOUR website! y-intercept: y = (x + 5)(x - 3) y = (0 + 5)(0 - 3) y = (5)(-3) y = -15 x-intercept: 0 = (x + 5)(x - 3) x + 5 = 0 x = -5 and x - 3 = 0 x = 3

Functions/45063: Determine the domain, range and reverse of these functions. Then determine if they are functions. ((-3,5),(-3,6),(4,5),(4,6)). I need help what do i do 1 solutions Answer 29888 by Nate(3500)   on 2006-07-07 16:11:55 (Show Source): You can put this solution on YOUR website! Domain (x-values): -3, 4 Range (y-values): 5, 6 Not A Function Because There Are Same x-values Inverse of Function: (5,-3), (6,-3), (5,4), (6,4) Domain (x-values): 5, 6 Range (y-values): -3, 4 Not A Function Because There Are Same x-values

Quadratic_Equations/45050: 2x _< 7 1 solutions Answer 29882 by Nate(3500)   on 2006-07-07 15:53:58 (Show Source): You can put this solution on YOUR website! 2x _< 7 x _< 3.5

Quadratic_Equations/45051: 1/2 X - 2/3 > 2 1 solutions Answer 29881 by Nate(3500)   on 2006-07-07 15:52:55 (Show Source): You can put this solution on YOUR website! Just Did This One x > 16/3

Quadratic_Equations/45052: 1/2x-2/3 >2 1 solutions Answer 29880 by Nate(3500)   on 2006-07-07 15:51:33 (Show Source): You can put this solution on YOUR website! 1/2x - 2/3 > 2 3/6x - 4/6 > 12/6 3/6x > 16/6 x > (6/3)(16/6) x > 16/3

Inequalities/45060: You know what I just love you. 1 solutions Answer 29879 by Nate(3500)   on 2006-07-07 15:49:42 (Show Source): You can put this solution on YOUR website! Thanks, I guess....

Quadratic_Equations/45053: -1<2x-5<7 1 solutions Answer 29878 by Nate(3500)   on 2006-07-07 15:49:09 (Show Source): You can put this solution on YOUR website! -1 < 2x - 5 < 7 4 < 2x < 12 2 < x < 6 <---(2)===(6)--->

Quadratic_Equations/45054: 1<3x + 4 _< 16 1 solutions Answer 29876 by Nate(3500)   on 2006-07-07 15:47:24 (Show Source): You can put this solution on YOUR website! 1 < 3x + 4 _< 16 -3 < 3x _< 12 -1 < x _< 4 <---(-1)===(4]--->

Quadratic_Equations/45055: !x!<7 1 solutions Answer 29875 by Nate(3500)   on 2006-07-07 15:45:44 (Show Source): You can put this solution on YOUR website! |x| < 7 x < 7 and x > -7 -7 < x < 7 <---(-7)===(7)--->

Quadratic_Equations/45056: !x-2/3! < 2 1 solutions Answer 29873 by Nate(3500)   on 2006-07-07 15:44:47 (Show Source): You can put this solution on YOUR website! |(x - 2)/3| < 2 (x - 2)/3 < 2 and (x - 2)/3 > -2 x - 2 < 6 and x - 2 > -6 x < 8 and x > -4 -4 < x < 8 <---(-4)===(8)--->

Quadratic_Equations/45058: !x-9! > 9 1 solutions Answer 29872 by Nate(3500)   on 2006-07-07 15:42:30 (Show Source): You can put this solution on YOUR website! |x - 9| > 9 x - 9 > 9 and x - 9 < -9 x > 18 and x < 0 <===(0)---(18)===>

Quadratic_Equations/45059: !x + 1/2! >_ 4 1 solutions Answer 29870 by Nate(3500)   on 2006-07-07 15:40:10 (Show Source): You can put this solution on YOUR website! |x + 1/2| >_ 4 x + 1/2 >_ 4 and x + 1/2 _< -4 x >_ 3.5 and x _< -4.5 <===(-4.5]---[3.5)===>

Quadratic_Equations/45057: 4 !x + 2! - 3 < 13 1 solutions Answer 29868 by Nate(3500)   on 2006-07-07 15:37:51 (Show Source): You can put this solution on YOUR website! 4|x + 2| - 3 < 13 4|x + 2| < 16 |x + 2| < 4 x + 2 < 4 and x + 2 > -4 x < 2 and x > -6 -6 < x < 2 <---(-6)===(2)--->

Rational-functions/45025: given f(x)=3x+4 1.is f(x) a function? why or why not? 2. find f^-1(x) is f^-1(x)a function? why or why not. 1 solutions Answer 29867 by Nate(3500)   on 2006-07-07 15:30:30 (Show Source): You can put this solution on YOUR website! given f(x) = 3x + 4 1.is f(x) a function? why or why not? Yes, there are no y-values that result in the same value for 'x'. 2. find f^-1(x) f(x) = 3x + 4 y = 3x + 4 x = 3y + 4 x - 4 = 3y (1/3)x - (4/3) = f^-1(x) Yes, there are no y-values that result in the same value for 'x'.

Polynomials-and-rational-expressions/45032: This question is from textbook Find A Polynomial with leading coefficient 1 and degree 3 that has 1, 1, and 3 as roots. I have X^3 + 3X^2 + X + 3. Is this correct. Thank you. 1 solutions Answer 29865 by Nate(3500)   on 2006-07-07 15:24:33 (Show Source): You can put this solution on YOUR website! (x - 1)(x - 1)(x - 3) (x^2 - 2x + 1)(x - 3) x^3 - 2x^2 + x - 3x^2 + 6x - 3 x^3 - 5x^2 + 7x - 3 = f(x)

Quadratic_Equations/45048: Craig is saving to buy a vacation home He inherits some money from a wealthy uncle, then combines this with the $ 22,000 he has already saved and doubles the total in a lucky investment. He endes up with $ 134,000, just enough to buy a cabin on the lake. How much did he inherit?? 1 solutions Answer 29864 by Nate(3500)   on 2006-07-07 15:21:58 (Show Source): You can put this solution on YOUR website! (x + 22000)*2 = 134000 x + 22000 = 67000 x = 45000

Quadratic_Equations/45046: A woman earns 15% more than her husband. Together they make $69,875 per year. What is the husband's annual salary? 1 solutions Answer 29863 by Nate(3500)   on 2006-07-07 15:20:17 (Show Source): You can put this solution on YOUR website! husband's salary = s (s + 0.15s) + (s) = 69875 2.15s = 69875 s = 32,500

Quadratic_Equations/45047: A pasture is twice as long as it is wide. Its area is 115,200 Ft^2. How widw is the pasture? 1 solutions Answer 29862 by Nate(3500)   on 2006-07-07 15:17:28 (Show Source): You can put this solution on YOUR website! Width = w Length = 2w w = 240 or w = -240 Width can not be expressed as a negative measurement. width = 240 length = 2w = 480 480ft x 240ft

Quadratic_Equations/45045: A rectangular bedroom is 7 ft longer than it is wide. Its area is 228 ft (square) what is the width of the room 1 solutions Answer 29861 by Nate(3500)   on 2006-07-07 15:15:13 (Show Source): You can put this solution on YOUR website! Width = w Length = w + 7 w = 12 or w = -19 Width can not be expressed with a negative measurement. w = 12 lenght = w + 7 = 12 + 7 = 19 19 x 12

Quadratic_Equations/45044: a FATHER is four times as old as his dauther. In 6 years, he will be three times as old as she is. How old is the dauther now? 1 solutions Answer 29860 by Nate(3500)   on 2006-07-07 15:11:59 (Show Source): You can put this solution on YOUR website! daughter's age = d 4d = 3(d + 6) 4d = 3d + 18 d = 18 d:12 ---> FATHER:48 *THEN* d:18 ---> FATHER:54 *NOW*

Graphs/45034: This question is from textbook Algebra and trigonometry with analytic geometry Find an exponential function of the form f(x)=ba^x + c with y-intercept 2, horizontal asymptote y=-2, that passes through the point P(1,4). Thank you for helping me. 1 solutions Answer 29859 by Nate(3500)   on 2006-07-07 15:06:15 (Show Source): You can put this solution on YOUR website! Two Points: (0,2) and (1,4) f(x) = ba^x - 2 2 = ba^0 - 2 4 = b f(x) = 4a^x - 2 4 = 4a^1 - 2 1.5 = a f(x) = 4(1.5)^x - 2

logarithm/45035: This question is from textbook Algebra and trigonometry with analytic geometry Find the number log subscript 5(1/5). I have 1. Is this correct? Thank you for your time. 1 solutions Answer 29858 by Nate(3500)   on 2006-07-07 15:02:34 (Show Source): You can put this solution on YOUR website! use rule of bases

logarithm/45037: This question is from textbook Algebra and trigonometry with analytic geometry Find the exact solution to the equation 3^(x+5)=9^x. I have 5. Is this right? Thank you. 1 solutions Answer 29856 by Nate(3500)   on 2006-07-07 15:00:25 (Show Source): You can put this solution on YOUR website! 3^(x + 5) = 9^x 3^(x + 5) = 3^2x x + 5 = 2x 5 = x

Quadratic_Equations/45043: the sum of the squares of two consecutive even integers is 1252 1 solutions Answer 29855 by Nate(3500)   on 2006-07-07 14:59:17 (Show Source): You can put this solution on YOUR website! Just Did This One Answer: 24 and 26 or Answer: -26 and -24

Functions/45039: This question is from textbook Find the horizontal asymptote of the rational function f(x)=8x-12/4x-2. My answer is y=1/2. Thanks. 1 solutions Answer 29854 by Nate(3500)   on 2006-07-07 14:58:21 (Show Source): You can put this solution on YOUR website! f(x) = (8x - 12)/(4x - 2) Vertical Asymptote: 4x - 2 = 0 4x = 2 x = 1/2 Horizontal Asymptote: (this is my theory) (coefficient of numerator)/(coefficient of denominator) 8/4 2 = y

Polynomials-and-rational-expressions/45040: This question is from textbook The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients. My answer is f(x)=(x-4)(x^2-6x+9). Thanks. 1 solutions Answer 29852 by Nate(3500)   on 2006-07-07 14:55:10 (Show Source): You can put this solution on YOUR website! (x - (3 + i))(x - (3 - i)) ((x - 3) + i)((x - 3) - i) (x - 3)^2 + (x - 3)i - (x - 3)i - i^2 x^2 - 6x + 9 - (-1) x^2 - 6x + 10 then: (x^2 - 6x + 10)(x - 4) = f(x)

Sequences-and-series/45041: the sum of the squares of two consecutive even integers 1252. find the inetegers 1 solutions Answer 29851 by Nate(3500)   on 2006-07-07 14:51:00 (Show Source): You can put this solution on YOUR website! First Integer: i Second Integer: i + 2 or Second Integer: i + 2 = -26 + 2 = -24 Second Integer: i + 2 = 24 + 2 = 26 Answer: -26 and -24 of Answer: 24 and 26