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anonymous
 5 years ago
can anyone help with solving problems using quadratic functions?
anonymous
 5 years ago
can anyone help with solving problems using quadratic functions?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0perhaps, whatcha need?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The company discovered that it costs $30 to produce 2 widgets, $118 to produce 4 widgets, and $766 to produce 10. Using the quadratic function, find the cost of producing 6 widgets.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when you are given 3 points, you need to do what looks like a reverse quadratic.... lets determine the points for our graph: (2,30) (4,118) (10,766).. ok?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0now we want a curve to match these numbers, so we need to find the "coefficients" of a quadratic equation to solve it... Ax^2 +Bx +C = y

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we know our x's and y's so the ABC becomes our "unknown" variables..backwards I know...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lets form 3 equations and then make them all equal like this: (2)^2A +(2)B + C = 30 (4)^2A +(4)B + C = 118 (10)^2A +(10)B + C = 766

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.04a +2b +c = 30 16a + 4b +c = 118 100a +10b +c = 766

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lets solve this system of equation :) what yor poison, substitution, elimination, or matrix?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if you dont know what I mean by now, then you are nor ready to solve this..... a system of equations is where you have 3 equations and want to know where they all have common points. We do that by either substitution techniques, elimination techniques or a matrix technique

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0well....2 or more equations with points in common :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well in the lesson for this assignment it never said anything about any of those.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we could try linear equations, but i gotta tell you, it says to do it with q quadratic....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well the lesson is called "solving equations with quadratic functions"

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0right, and since they gave you 3 points and no equation, we have to find the equation using those points. We need to solve the 3 equations for a b and c in order to "find" the quadratic equation we need. otherwise, its just a shot in the dark :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Ill do substitution, it tends to be the most intuative of the methods...takes longer, but is eaiser to follow 4a +2b +c = 30 16a + 4b +c = 118 100a +10b +c = 766

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.04a +2b +c = 30 solve for "c" c = 4a 2b + 30 we can use this "value" in the other two equations like this: 16a + 4b +(4a  2b +30) = 118 16a 4a +4b 2b = 118 30

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.012a +2b = 88 solve for another variable with this: b = 12a/2 +88/2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0use the c "value" in the other equation to get rid of that variable in it like we did to this one: 100a +10b +(4a 2b +30) = 766 100a 4a +10b 2b = 766  30 106a +8b = 736 use the "b" value in this equation to solve for "a"

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0106a +8(6a +44) = 736 106a 48a +352 = 736 58a = 384 a = 384/58 ...reduce as needed we have a solid value for "a" now we can use it to find a solid value for "b"

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0b = 6(384/58) +44 what does b = ??

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0b = 1152/29 +44 ..... use this in your a value in your top most equation to find the value for c

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0and as long as I did my math right, it should give you your a b and c values for your quadratic equation ;)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.01004 is not 106.....

radar
 5 years ago
Best ResponseYou've already chosen the best response.0Would you then substitute 6 in the newly found equation to find the cost of production?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yes you would, and that would give you your answer.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0as long as I did all the math right.... 106 should be 96 96a 48a +352 = 736 48a = 384 a = 384/48 ...reduce as needed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0a = 8...much better ;)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0b = 6(8) +44 b = 48 + 44 = 4 a = 8, b = 4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0c = 4(8) 2(4) + 30 c = 32 +8 +30 c = 2+8 = 6 your equation is then: 8x^2 4x +6

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.08(6)^24(6) +6 = your answer

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you can double check the ABC by plugging in t your point information and seeing if it is the same :)

radar
 5 years ago
Best ResponseYou've already chosen the best response.0I think this company is having a heck of a learning curve!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lol ..... the company in the eqample, or openstudy, or racergirlk? :)

radar
 5 years ago
Best ResponseYou've already chosen the best response.0lol whew that was work. cul

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks amistre64. would you be willing to help with the 4 i have left?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0what!?!?!! ..... maybe later tonight, I have classes in an hour ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well thanks for the help

radar
 5 years ago
Best ResponseYou've already chosen the best response.0I substituted the 2, 4, and 10 and obtained the amount of production cost as the problem stated. That is the correct answer, 6 widgets will cost $270, the company would be better off making only 2 widgets per production run!! LOL
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