Answer:
350^4.
Step-by-step explanation:
When dividing the same base by different exponents, subtract the exponents.
Answer:
1260
Step-by-step explanation:
After you do what the pic says you take 540 and subtract it from 1800 to see the amount left to pay.
The equation is saying that -3x+10=5x-8. Once you get all the same terms on one side, you get 18=8x. That would end up being a decimal number, instead of a whole number. The x values would either have to be -4x or 6x in order to make the problem equal
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).
