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filzaf9632
18.08.2019 •
Mathematics
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Ответ:
and see what I can do with it:
[ 1/(x+3)² - 1/x² ] / 3
Multiply the top and bottom by (x+3)² :
[ 1 - (x+3)²/x² ] / 3 (x+3)²
Multiply the top and bottom by x² :
[ x² - (x+3)² ] / 3 x² (x+3)²
Now it's just a matter of expanding and cleaning things up,
and hope and pray that a lot of things cancel.
Eliminate the parentheses on top and bottom:
[ x² - x² - 6x -9 ] / 3 x² (x² + 6x + 9)
Combine the x² terms on top, and divide top and bottom by 3 :
[ - 2x - 3 ] / x² (x² + 6x + 9)
Finally, all I can make of this is:
- (2x + 3) / [ x(x+3) ]² .
That's not a whole lot prettier than the original form, but at least
we got rid of those fractions in the numerator of a fraction.
I hope this is some help to you.
Ответ:
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)