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BluSeaa
19.10.2020 •
Mathematics
What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)
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Ответ:
The answer is A, (5x+6)(5x-6)
Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.
Ответ:
8x + 6y >/= 48 ......1
x + 2y >/= 12 .......2
The cost function is given as;
C = 0.05x + 0.03y .........3
The minimum cost is $0.24 at (0,8)
That is 0 ounces of oats and 8 ounces of rice.
Step-by-step explanation:
let x represent the number of ounces of oats
And y represent the number of ounces of rice
For Vitamin A
Minimum requirements = 48mg
x ounces of oats contribute 8mg × x
y ounces of Rice contribute 6mg × y
Therefore, we have;
8x + 6y >/= 48 ......1
For Vitamin B
Minimum requirements = 12mg
x ounces of oats contribute 1mg × x
y ounces of Rice contribute 2mg × y
Therefore, we have;
x + 2y >/= 12 .......2
The cost function is given as;
C = 0.05x + 0.03y .........3
Attached is the graphical representation.
The feasible points are (x,y) = (0,8),(2.4,4.8),(12,0)
The minimum cost is determined by substituting each point into the cost function
For (0,8)
C= 0.05(0) + 0.03(8)
C = $0.24
For (12,0)
C= 0.60
For (2.4,4.8)
C= $0.264
The minimum cost is $0.24 at (0,8)