2x(2x + 3)
That would be -----------------------
2x^2 + 13x + 15
We should factor the denominator and then reduce the original fraction:
2x(2x + 3) 2x x
----------------------- = ------------- = ---------
(2x + 3)(2)(x+5) 2(x+5) x+5
This is true only for x not equal to -5, not equal to -3/2.
3 gallons in 15 seconds would be 3/15
so for 1 gallon 15/3 = 5
it would be 1 gallon every 5 seconds so 1/5
Answer:
b = - 0.432
Step-by-step explanation:
It takes 200 seconds to produce the first widget. And by the 400th widget, it takes only 15 seconds.
Now, the formula that gives the time to make the nth widget is given by
and we have to evaluate the constant b from the above-given conditions.
So, 
⇒ 
Taking log on both sides
b log (400) = log (0.075)
⇒ b = - 0.432 (Answer)