Answer:
1/216
1/8 *1/3³ ( cross multiply ) = 1/216
Did you only need the answer for the one on the top right?? Or all of them because If you need all of them I can do that too I am just assuming you just needed that one because it was selected.
start with y= m(x+9)
Use the distributive property:
y= mx+9m
Now you want x to decrease by 6:
so y ' = m(x-6) + 9m
Use distributive property again:
y'= mx - 6m + 9m
y' = (mx+9m) - 6m
y' = y - 6m
So the value of y decreases by 6m.
Answer:
0.4 pounds
Step-by-step explanation:
10 pounds / 25 square feet
to get the number of pounds per feet
10 / 25 = 0.4
so, your answer is 0.4 pounds per 1 square foot
Answer:
- 50 ft by 75 ft
- 3750 square feet
Step-by-step explanation:
Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...
y = (300 -2x)/3
And the enclosed area is ...
A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)
This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.
The maximum area is enclosed when the dimensions are ...
50 ft by 75 ft
That maximum area is 3750 square feet.
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<em>Comment on the solution</em>
The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).