Question

The daily profit made by an automobile manufactuer is
P(x)= -45x^2+2250x-18000
where x is the number of cars produced per shift. how many cars must be produced per shift for the comapany to break even
A) none
B) 25 or 30
C) 10 or 40
D) 50

Answer 1

what is the common factor of 45,2250, and 1800?

Answer 2

*18000

Answer 3

50

Answer 4

is 50 a factor of 45?

Answer 5

for example... 2,6 and 8.. their common factor is 2.. and you can factor out 2 from them and that makes 2(1,3,4) .. do you get it?

Answer 6

oh its none then right?

Answer 7

cuz none of those go into 45

Answer 8

@eroshea am i correct?

Answer 9

no.. their common factor is 45... try factoring out 45 including its sign..so factor out -45 from them.. post your answer here..
example:
-2x^2 + 6x - 8
-2(x^2 -3x + 4) <this is the factored out form>

Answer 10

i hope you know the rule of factoring a negative number from a given equation

Answer 11

yes u change the sign of everything in the parenthesees

Answer 12

yes that's right.. so what's the answer of if factor -45 from the equation?

Answer 13

so i factor out the -45 like this...... -45(x^2+2250x-180000)?

Answer 14

wrong.. remember the rule of factoring a NEGATIVE NUMBER from a given equation.. CHANGE the SIGN of all the NUMBERS inside the PARANTHESIS :))
-2x^2 + 6x - 8
-2(x^2 -3x + 4)

Answer 15

-45(-x^2-2250x+18000)

Answer 16

wrong again.. if you try to factor out a number from an equation.. you should divide all of the numbers by that factor... look at my example
-2x^2 + 6x - 8
-2(x^2 -3x + 4)

i factored out -2 from it ... so i'll divde -2x^2 with -2, 6x with -2 , and -8 with -2..