Question

The cost in dollard, of operating a machine per day is given in the formula C=3t^2 -96t +1024 , where t is the time the machine operates, in hours. What is the minimum cost of running the machine? for how many hours must the machine run to reach the minimum cost? PLEASE ANSWER IN COMPLETE THE SQUARE METHOD

Answer 1

http://openstudy.com/updates/539f7069e4b0206eed0a41d3

Answer 2

so in short, we dunno.. what the vertex is
so I gather you know what a "perfect square trinomial" is

or often times just called a perfect square

Answer 3

:)

Answer 4

ok... so let's do it here then :) recall a perfect square trinomial is?

Answer 5

\(\huge (a\pm b)^2=a^2\pm 2ab+b^2\)

Answer 6

recall it? maybe

Answer 7

de faq?

Answer 8

Im in grade 10

Answer 9

hmmm I'd think that would have been covered then

Answer 10

gimme a sec

Answer 11

could you just show me how you would do it?

Answer 12

ok

Answer 13

\(\huge (a\pm b)^2=a^2\pm 2ab+b^2\) is a perfect square trinomial


notice the expanded version, is 3 terms, the two on each end are SQUARED, and the middle is just the multiplication those by 2
fair?

Answer 14

\(\huge \huge (a\pm b)^2={\color{brown}{ a}}^2\pm 2{\color{brown}{ a}}{\color{blue}{ b}}+{\color{blue}{ b}}^2\)

Answer 15

\[0=a ^{2}\pm2ab +b ^{2}\] like this??

Answer 16

well... not quite there yet..... but looks close, yes

so... you see what the "perfect square TRInomial" is?

Answer 17

all Im asking is where would you put the values of the questions in the equation

Answer 18

well the values, as you saw from the parabola graph, come from the parabola's vertex

the Cost =y and the Time/Hours = x

Answer 19

so you're asked to "PLEASE ANSWER IN COMPLETE THE SQUARE METHOD"

change the parabola from standard form, to vertex form, http://www.mathwarehouse.com/geometry/parabola/images/standard-vertex-forms-thumb.png , by "completing the square"

Answer 20

once you set the parabola in "vertex form", then you'll see the vertex and thus "x" and "y" and thus the Cost and Time/Hours

Answer 21

is simpler that what it sounds

Answer 22

OOOOOO YOUR A GEM

Answer 23

THX

Answer 24

know how to "complete the square"?