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user_dude2008 answered: 1858 problems
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Points-lines-and-rays/363362: The equation c=$.05m+ $ 4.95 represents the cost (C) of a long didtance telephone call of m minutes.
what is the slope of the line?
what does the slope represent in this situation?
what is the y-intercept (C-intercept)?
what does the y-intercept represent in this situation?
1 solutions

Answer 259071 by user_dude2008(1861) About Me  on 2010-10-28 20:47:16 (Show Source):
You can put this solution on YOUR website!
slope m = 0.05
what does the slope represent in this situation? variable cost

y intercept (0,4.95)

what does the y-intercept represent in this situation? fixed cost


test/363364:
1 solutions

Answer 259070 by user_dude2008(1861) About Me  on 2010-10-28 20:46:27 (Show Source):


expressions/359454: 3+y for y=7
1 solutions

Answer 256524 by user_dude2008(1861) About Me  on 2010-10-21 01:09:21 (Show Source):


Expressions-with-variables/359522: solve for t: 5t + 4 = 3s
1 solutions

Answer 256523 by user_dude2008(1861) About Me  on 2010-10-21 01:05:57 (Show Source):
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5t + 4 = 3s


5t = 3s-4





Rational-functions/359479: I have to write the rate as a unit rate...22 ounces for 4 servings. I did 22/4 and got 5 reminder 2 or if I add a zero to the 22, I get 5.5. How do I write it as a unit rate?
1 solutions

Answer 256522 by user_dude2008(1861) About Me  on 2010-10-21 01:05:04 (Show Source):
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22/4 = 11/2 = 5.5

22 ounces for 4 servings -----> 5.5 oz per serving


Functions/359151: If a linear function f satisfies the conditions : f ( -3 ) = - 2 and f ( 3 ) = 16 , find f ( x ).

1 solutions

Answer 256309 by user_dude2008(1861) About Me  on 2010-10-20 13:53:43 (Show Source):
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m=(y2-y1)/(x2-x1)=(16-(-2))/(3-(-3))=18/6=3
m=3
x1=-3
y1=-2

y-y1=m(x-x1)
y-(-2)=3(x-(-3))
y+2=3(x+3)
y=3x+9-2
y=3x+7
Answer: f(x) = 3x+7


Graphs/358692: Find an equation of the line having the given slope and containing the given point. Express your answer in the form x=a, y=b, or y=mx+b
m=-2,(8,0)
The equation of the line is y=_________

Thank you.

1 solutions

Answer 255993 by user_dude2008(1861) About Me  on 2010-10-19 17:43:10 (Show Source):
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y-y1=m(x-x1)

y-0=-2(x-8)

y=-2x+16


Polynomials-and-rational-expressions/358640: please help me someone

multiply

(-2x)^2 (3x^7)^2
1 solutions

Answer 255991 by user_dude2008(1861) About Me  on 2010-10-19 17:34:24 (Show Source):
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(-2x)^2 (3x^7)^2 = (4x^2)(9x^14) = 36x^16


Radicals/358633: Please help me i am really lost
Simplify
^3sqrt(-1/125) "simplify type a fraction or integer"
1 solutions

Answer 255989 by user_dude2008(1861) About Me  on 2010-10-19 17:33:15 (Show Source):


Functions/358386: Hi, here is my question. I need to find the domain of log (12-3x) and write it in interval notation. Can you help me out?
1 solutions

Answer 255765 by user_dude2008(1861) About Me  on 2010-10-19 01:16:58 (Show Source):
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12-3x>0

12>3x

4>x

x<4

Domain:


Travel_Word_Problems/358371: start time:1:35 p.m. end time:? Elapsed time:5 hours and 40 minutes
would that mean end time is:7:15 p.m. ?
1 solutions

Answer 255746 by user_dude2008(1861) About Me  on 2010-10-18 23:21:56 (Show Source):
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1:35
+5:40
------
6:75

75 min = 1 hr 15 min

---> 6 + 1 hr 15 min = 7:15


Equations/358330: You lose your electronic tag that you use to pay tolls on the highway in your city. It costs you $24 to replace the tag. The cost of one toll when you don't use the tag is $3. The cost of the same toll when you do use the tag is $1.50. How many times will you have to use the tag to pay for the tolls in order for the total cost to be the same as not using the tag?
1 solutions

Answer 255718 by user_dude2008(1861) About Me  on 2010-10-18 22:05:21 (Show Source):
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3x=1.5x+24

3x-1.5x=24

1.5x=24

x=16

Answer: 16 times


logarithm/358328: help me solve 5^x = 7*3^x the answer the teacher gives is x = log(7)/log(5/2)
1 solutions

Answer 255714 by user_dude2008(1861) About Me  on 2010-10-18 21:58:03 (Show Source):


Angles/358327: what is the measure and equation of an angle if its measure is equal to that of its supplement?
1 solutions

Answer 255713 by user_dude2008(1861) About Me  on 2010-10-18 21:55:09 (Show Source):
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x+x=180

2x=180

x=90


Linear-systems/358322: show all work 14x-3=10x+1
1 solutions

Answer 255710 by user_dude2008(1861) About Me  on 2010-10-18 21:46:45 (Show Source):
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14x-3=10x+1

14x-10x=1+3

4x=4

x=4/4

x=1


Signed-numbers/358242: Insert parentheses to make each ststaement true.
48/4+8-4+2=2
1 solutions

Answer 255709 by user_dude2008(1861) About Me  on 2010-10-18 21:46:01 (Show Source):
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48/(4+8)-4+2=2


absolute-value/358320: please help with the problem : the absolute value of (b-5) +6 = 14
1 solutions

Answer 255708 by user_dude2008(1861) About Me  on 2010-10-18 21:44:54 (Show Source):
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|b-5|+6 = 14


|b-5| = 8

b-5=8 or b-5=-8

b=13 or b=-3


Expressions-with-variables/358318: The perimeter of the rectangle below is 184 units. Find the length of side CD .
Side AD = 4z-1
Side AB = 5z+3
D-----------C
[------------]
[------------]
[------------]
A-----------B
1 solutions

Answer 255706 by user_dude2008(1861) About Me  on 2010-10-18 21:40:51 (Show Source):
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2AD+2AB=P

2(4z-1)+2(5z+3)=184

8z-2+10z+6=184

18z+4=184

18z=184-4
18z=180
z=10

CD=5z+3=5(10)+3=50+3=53


Exponents/358307: rewrite with a rational exponent
^6sqrt(21)
1 solutions

Answer 255703 by user_dude2008(1861) About Me  on 2010-10-18 21:39:16 (Show Source):


Polynomials-and-rational-expressions/357895: Add

(3s^4-2s^3+4s^2+15s-10) + (s^5+7s^3+6s^2-4s+6) + (-6s^4+s^2-7s-8)
1 solutions

Answer 255551 by user_dude2008(1861) About Me  on 2010-10-18 15:11:56 (Show Source):
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(3s^4-2s^3+4s^2+15s-10) + (s^5+7s^3+6s^2-4s+6) + (-6s^4+s^2-7s-8) = s^5-3s^4+5s^3+11s^2+4s-12


test/357574: Can anyone please help me how to do this because i am confused with this problem..
Find three consecutive integers such that the sum of the first and third is 84.
please show me the work thanks
1 solutions

Answer 255291 by user_dude2008(1861) About Me  on 2010-10-17 18:13:43 (Show Source):
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x+(x+2)=84

2x+2=84

2x=84-2

2x=82

x=41


numbers are 41, 42, 43


Functions/357488: Let f(x)= absolute value of x^2+1.
Find f(x+4)
1 solutions

Answer 255256 by user_dude2008(1861) About Me  on 2010-10-17 15:40:54 (Show Source):
You can put this solution on YOUR website!
f(x+4)=|(x+4)^2+1|=|x^2+8x+16+1|=|x^2+8x+17|
f(x+4)=|x^2+8x+17|


Quadratic_Equations/357478: I have been working on this all week and I just cannot get it. I know this is short notice but it is due with in the next 12 hours PLEASE HELP!
A plasma TV company determines that its total profit on the production and sale of x TVs is given by: P(x)= -x^2+812x-9600
the question that i am stuck on are as follows, and i have to show the work:
1. Find the solutions and explain what these solutions represent.
2. How many TV’s must be produced to reach a minimum or maximum profit?
3.What is this minimum or maximum profit?
4.What is the vertex of this graph? How is this point related to your answers from e and f?
I also have to graph it but i think i can do that if i have these answers
thank you so much in advance.
1 solutions

Answer 255255 by user_dude2008(1861) About Me  on 2010-10-17 15:39:43 (Show Source):
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1) Solutions: x = 12, x = 800
2) 406 tvs must be produced
3) max profit = $155236
4) vertex (406,155236) x coordinate from 2) y coordinate from 3)


Graph

+graph%28+500%2C+500%2C+-30%2C+1000%2C+-50000%2C+180000%2C+-x%5E2%2B812x-9600%29+


Graphs/357425: what is the y intercept for y=-2/3x-12
1 solutions

Answer 255246 by user_dude2008(1861) About Me  on 2010-10-17 14:04:56 (Show Source):
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y-intercept is (0,-12)


Permutations/357429: Using the numbers 1 through 13, how many different combinations of four numbers can I have?
1 solutions

Answer 255245 by user_dude2008(1861) About Me  on 2010-10-17 14:04:13 (Show Source):


Functions/357428: Hey,
for each pair of revenue and cost functions, determine
i) the profit function
ii) the value of x that maximizes profit
a) R(x)=-x^2+24x, C(x)=12x+28

i got part i) it was, -x^2+12x+28 but i have no idea how to do part ii)
thanks
1 solutions

Answer 255243 by user_dude2008(1861) About Me  on 2010-10-17 14:00:01 (Show Source):
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i) P=R-C = -x^2+24x-(12x+28) = -x^2+24x-12x-28 = -x^2+12x-28

ii) x=-b/2a = -12/2(-1) = 6
Answer x=6


Quadratic_Equations/357223: find the x and y intercepts
f(x)= -x^2+2x+24

The x coordinates of the intercepts are??
The y intercept is (0,?)
1 solutions

Answer 255133 by user_dude2008(1861) About Me  on 2010-10-16 22:29:38 (Show Source):
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x-intercepts (6,0) and (-4,0)
y-intercept (0,24)


Quadratic_Equations/357234: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x) = -x^2+6x+1

1) The vertex is ?? "ordered pair"
2) the equation of the line of symmetry is x= ??
3) the maximum/,mimimum of f(x) is ???
4) The value of f(3)=10 is minimum or maximum??
Could you please show me the graph??
1 solutions

Answer 255129 by user_dude2008(1861) About Me  on 2010-10-16 22:17:56 (Show Source):
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1) Vertex is (3,10)

2) line of symmetry: x=3

3) max is f(x)=10

4) f(3)=10 is a maximum


Graph

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-x%5E2%2B6x%2B1+%29+


Numbers_Word_Problems/357131: Separate 150 into two parts such that four times the larger exceeds five times the smaller by sixty.
1 solutions

Answer 255039 by user_dude2008(1861) About Me  on 2010-10-16 16:13:56 (Show Source):
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x+y=150
4x=5y+60

4x+4y=600
5y+60+4y=600
9y=540
y=60

x+y=150
x+60=150
x=90


Finance/357135: A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $31.80. Write an equation to find the number of hours, x, the union member worked during the month of March.
How many hours did the union member work during the month of March?
x = h?
1 solutions

Answer 255038 by user_dude2008(1861) About Me  on 2010-10-16 16:11:39 (Show Source):
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0.15x+6=31.80

0.15x=31.80-6
0.15x=25.80

x=25.80/0.15

x=172

Answer: 172 hours


Complex_Numbers/357132: find an expression in simplest form for a polynomial of third degree with real coefficients having roots of 3 and 1-2i
1 solutions

Answer 255037 by user_dude2008(1861) About Me  on 2010-10-16 15:58:31 (Show Source):
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(x-3)(x-(1-2i))(x-(1+2i))=0

(x-3)(x-1+2i)(x-1-2i)=0

(x-3)((x-1)+2i)((x-1)-2i)=0

(x-3)((x-1)^2+4)=0

x(x-1)^2+4x-3(x-1)^2-12=0

x(x^2-2x+1)+4x-3(x^2-2x+1)-12=0

x^3-2x^2+x+4x-3x^2+6x-3-12=0

x^3-5x^2+11x-15=0


Answer: x^3-5x^2+11x-15