There are 12,000 people attending a concert. They announce that 20% of the people that purchased tickets did not come to the con
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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.
<u>Answer:</u>
x = & 3
<u>Step-by-step explanation:</u>
=
Cross multiply:
=
⇒ (8x)(7x) = (5x+3)(10x-2)
Simplify both sides:
(8x)(7x) = (5x+3)(10x-2) ⇒ 56x² = 50x²+20x-6
Set equation equal to 0:
56x² = 50x²+20x-6 ⇒ 0 = -6x²+20x-6
Factor the trinomial:
0 = -6x²+20x-6 = (-6x+2)(x-3)
Solve for X:
-6x+2 = 0
-6x = -2
x = ;
x-3 = 0
x = 3;
x = , 3