Answer:
-28
Step-by-step explanation:
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:

monthly revenue:

profit function:


i) remove the first bracket

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

iii) collect like terms

iv) simply the like terms

16x + 96 would be an equivalent expression
4 --> 160
The correct answer is

You can find this by first starting with the original question.

÷

Now to solve a division problem with fractions, you can always flip the second one and turn it into multiplying.

*

Now we can multiply numerator by numerator and denominator by denominator.

Then of course, we need to simplify. Since both are divisible by 3, we can divide both numbers by 3.
x =
±
i
rearrange the equation and equate to zero
2x² - 6x = - 5 ⇒ 2x² - 6x + 5 = 0
this doesn't factor with integers, hence use the quadratic formula to solve
with a = 2, b = - 6 and c = 5
x = (6 ± √(36 - 40 ) )/4
= (6 ± √(-4) ) / 4
= (6 ± 2i ) / 4
x =
±
i