A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
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.
anonymous
 one year ago
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.

This Question is Closed

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1Hey, do you know how to `complete the square` ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1oh 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
 one year ago
Best ResponseYou've already chosen the best response.1first of all take out the common factor from (5x^2+70x) what is common factor(just common number not varaible ) ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm \color{Red}{5}x^2+\color{reD}{70}x\] 5 isn't divisible by 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, sorry, I mixed that up with something else. So, then what 5?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right take out the 5 from both terms 5x^2 and 70x\[5(??+??)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would you divide 70 by 5?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1when you take out 5 from 5 what would you get ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1in 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

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\(\color{blue}{\text{Originally Posted by}}\) @gigirained 5(x^2 +14)+258? \(\color{blue}{\text{End of Quote}}\) 5(x^2 +14x)+258 like this

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1now to complete the square divide b/2 and then take square of (b/2)^2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1i'll give you an example \[\huge\rm x^2+Bx+C=0\] \[\rm (x +\frac{ b }{ 2})^2 (\frac{ b }{ 2})^2+C=0\] like this b = middle term

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1what's the middle term in that equation ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right divide 14 by 2 then take square root of the result

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm 5(x\frac{ 14 }{ 2 })^2(\frac{ 14 }{ 2 })^2 +258\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1i just noticed it supposed to be negative 14x cux in the original equation 70x is negative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do we do anything with 258?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1ohh yeah we have common factor we have to multiply (b/2)^2 with 5

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm \color{Red}{5}(x7)^2[(7)^2\times \color{ReD}{5}] +258\]we should multiply (b/2)^2 wth the common factor

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would we multiply 7 by 5 for 49 by 5

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1first take square of 7 then multiply by 5

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right now combine like terms \[5(x7)^2\color{Red}{245+258}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1then you will get vertex form equation of parabola \[\huge\rm y=a(xh)^2+k\] where (h,k) is the vertex if a is positive then you wll get minimum point (h,k) if a is negative you will get maximum point (h,k) (h,k) where h represents xcoordinate and k represents y coordinate cost usually represents by y coordinate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, i dont know which one, A or B @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1reread my my comment again which coordinate represent cost ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1what's the vertex point ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well, the answer i got was b

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1that's one h what is k ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right (h,k) = (7,13) where y coordinate represent cost

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do i find the ycoordinate

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1(x,y) is same as (h,k) first number is xcoordinate 2nd one is ycoordinate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That went right over my head haha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1in other words k represent cost in this question
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.