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anonymous
 4 years ago
i have 2 equations
(4x3+24x2+7x+42)/(x+6)and(2x2+6x+a)
the first formula has an x<6 and the 2nd has x</=6 and i have to find which value would make it continuous. i set them equal to each and plugged in 6 in for the x and solved for a getting 36 which is wrong
anonymous
 4 years ago
i have 2 equations (4x3+24x2+7x+42)/(x+6)and(2x2+6x+a) the first formula has an x<6 and the 2nd has x</=6 and i have to find which value would make it continuous. i set them equal to each and plugged in 6 in for the x and solved for a getting 36 which is wrong

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0factor and cancel to get \[4x^2+7\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0replace x by 6 and get \[4\times 6^2+7=189\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so my algebra is wrong but my method is right?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what you then have to do, now that you know the limit of the first expression is equal to 189, is replace x by 6 in the second expression, set it also equal to 189 and solve for "a"

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0there is only 1 a though

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and that is in the 2nd equation

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0right. the second expression is \[2x^2+6x+a\] and you need to to match up to the first expression when x =6

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you know the limit of the first expression at 6 is 186 so write \[2\times 6^2+6\times 6+a=189\] and solve for "a"

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh ok that makes sense

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i get \[108+a=189\] and therefore \[a=81\] but don't take my word for it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it says 81 is in incorrect

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0x had to equal 6 not 6

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0x=7, a=147 x=8, a=183 and so on
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