The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)
<h3>Factorization</h3>
Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
To the factor, a number means to break it up into numbers that can be multiplied to get the original number.
In the given expression, 36x⁴y³ - 16x³y can be factorized as
36x⁴y³ - 16x³y = 4x³y(9xy² - 4)
The common factor in the expression is 4x³y
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Answer: it is rational
Step-by-step explanation:
Answer:
8,567
Step-by-step explanation:
Given the cost function expressed as C(x)=0.7x^2- 462 x + 84,797
To get the minimum vaklue of the function, we need to get the value of x first.
At minimum value, x = -b/2a
From the equation, a = 0.7 and b = -462
x = -(-462)/2(0.7)
x = 462/1.4
x = 330
To get the minimum cost function, we will substitute x = 330 into the function C(x)
C(x)=0.7x^2- 462 x + 84,797
C(330)=0.7(330)^2- 462 (330)+ 84,797
C(330)= 76230- 152460+ 84,797
C(330) = 8,567
Hence the minimum unit cost is 8,567
