Given:
The function is:
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is the growth/decay factor. If 
, then decay factor and if 
, then growth factor.
We have,
...(ii)
On comparing (i) and (ii), we get
, it means initial there are 500 milligrams of the substance.
, this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.
Answer:
cannot be simplified anymore
Step-by-step explanation:
b(a+c)
3 groups of 2 tenths is 1.5
9514 1404 393
Answer:
x = 35
Step-by-step explanation:
It appears the only missing piece of the explanation is ...
x² = 1225 ⇒ x = 35
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
