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Use the formula a2 – b2 = (a b)(a – b) to factor completely. what are the factors of 36x8 – 49? (9x4 – 1)(4x2 49) (36x4 – 7)(x2
1 answer:
The factors of 36x^8 – 49 are (6x^4-7)(6x^4+7).
We are given to factor the following polynomial completely:
36x^8 – 49.
We have to find the complete factor of the given polynomial.
Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor
<h3>What is the formula for (a^2-b^2)?</h3>
The formula for (a^2-b^2)= (a+b) (a-b).
Therefore applying the given formula we have,
Thus, the required factors are
Therefore,option (C) is correct.
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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.