Question

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.

Answer 1

@Nnesha

Answer 2

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

Answer 3

Barley

Answer 4

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) \[(5x^2+70x)+258\]

Answer 5

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

Answer 6

2?

Answer 7

nope

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

would you divide 70 by 5?

Answer 12

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

Answer 13

0

Answer 14

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