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anonymous
 one year ago
The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers. Describe the key features that would determine if these linear functions ever intercepted.
anonymous
 one year ago
The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers. Describe the key features that would determine if these linear functions ever intercepted.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino @mathstudent55 @mathmate

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1any linear function can be described by this formula: \[y = kx + h\] where k and h are coefficients, and x, and y are two variables

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now, in your first case y is the cost of producing sneakers and for second linear function y is the income for sneakers

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! the number of sneakers

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we have to consider one functionat a time. So for first function if x=0, we have: y=h, namely if we have not produced sneakers then the cost is h

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what would be the key features to determine if they intersected?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I rewrite the two functions as below: \[\begin{gathered} f\left( x \right) = {a_1}x + {b_1} \hfill \\ g\left( x \right) = {a_2}x + {b_2} \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we have intersection if: \[\begin{gathered} f\left( x \right) = g\left( x \right) \hfill \\ {a_1}x + {b_1} = {a_2}x + {b_2} \hfill \\ \left( {{a_1}  {a_2}} \right)x = {b_2}  {b_1} \hfill \\ \end{gathered} \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright, but how would I type that in word form?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1and we have no solutions, if and only if: \[\large {a_1}  {a_2} = 0,\;{b_2}  {b_1} \ne 0\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1namely, if the producing rate is equal to the earning rate and the cost for producing no sneakers is different from the earning for no sneakers sold, then we have no intersection

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok but we have to determine the key features if they ever intersceted?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0"Describe the key features that would determine if these linear functions ever intercepted." See?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what would be the answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can I ask another question please?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1I think that the requested key can be this: the producing rate has to be different from the earning rate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents. Month No. of orders in No. of orders out January (1) 3 3 February (2) 6 4 March (3) 9 5 April (4) 12 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0# of orders in: 3 6 9 12

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0#of orders out: 3 4 5 6

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we can write the relationship between the orders out y, as a function of the orders in x, like below: \[\Large y = \left( {x  1} \right) + 3\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1no, I my formula is wrong

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1my fromula is wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we can always start over

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we have two linear equations. Namely the relationship between months x and orders out f(x), which is: \[\Large f\left( x \right) = \left( {x  1} \right) + 3\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the second relationship is between the months x and the orders in g(x): \[\Large g\left( x \right) = 3x\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the solution of your system is given solving this equation: \[\Large \begin{gathered} f\left( x \right) = g\left( x \right) \hfill \\ \\ \left( {x  1} \right) + 3 = 3x \hfill \\ \end{gathered} \] solve please, for x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ux x I got x+2=3x, then I got 2x+2

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1it means that at first month the orders in are equal to the orders out

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1more precisely: the number of orders in is equal to the number of orders out
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