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Mathematics 40 Online
OpenStudy (anonymous):

The cost to produce a product is modeled by the function f(x) = 5x2 − 70x + 258 where x is the number of products produced. Complete the square to determine the minimum cost of producing this product. 5(x − 7)2 + 13; The minimum cost to produce the product is $13. 5(x − 7)2 + 13; The minimum cost to produce the product is $7. 5(x − 7)2 + 258; The minimum cost to produce the product is $7. 5(x − 7)2 + 258; The minimum cost to produce the product is $258.

OpenStudy (anonymous):

@Nnesha

Nnesha (nnesha):

Hey, do you know how to `complete the square` ?

OpenStudy (anonymous):

Barley

Nnesha (nnesha):

oh alright \[\huge\rm f(x)= 5x^2 − 70x + 258 \] this is our equation where a b ,c values are \[\rm Ax^2+Bx+C=0\] a=leading coefficient b=middle term c=constant term we need to complete the square of (5x^2+70x) \[(5x^2+70x)+258\]

Nnesha (nnesha):

first of all take out the common factor from (5x^2+70x) what is common factor(just common number not varaible ) ?

OpenStudy (anonymous):

2?

Nnesha (nnesha):

nope

Nnesha (nnesha):

\[\huge\rm \color{Red}{5}x^2+\color{reD}{70}x\] 5 isn't divisible by 2

OpenStudy (anonymous):

Oh, sorry, I mixed that up with something else. So, then what 5?

Nnesha (nnesha):

yes right take out the 5 from both terms 5x^2 and 70x\[5(??+??)\]

OpenStudy (anonymous):

would you divide 70 by 5?

Nnesha (nnesha):

when you take out 5 from 5 what would you get ?

OpenStudy (anonymous):

0

Nnesha (nnesha):

in other words divide both terms by common factor |dw:1441211901863:dw| what do you get when yo udivide 5 x^2 by 5 and 70x/5 = ? write ur answer in the parentheses

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