Let b and h represent the length of the side of the base and the slant height, respectively. Then the total surface area is
A = b² + 4*(1/2)bh
A = b² +2bh
Substituting the given numbers, you have
336 = 12² +2·12·h
192 = 24h . . . . . . . . . subtract 12² = 144
8 = h . . . . . . . . . . . . . divide by 24
The slant height is 8 inches.
<span>P(x) = –x4 + x3 + 7x2 − x − 6
The graph will look like a bell, or a downward facing parabola, since the dominant term is -x^4
The graph has a y-intercept of -6, which can be considered the fixed cost (cost of zero trees cut) and moves upward from there, eventually reaching a maximum at some positive number of trees and dropping again. As x gets very large, profit becomes a very large negative number. Since we can't have negative trees cut, we're only interested in positive x values
The company breaks even at P(x) = 0
0 = </span> –x4 + x3 + 7x2 − x − 6, x greater than zero
0 = (x+2)(x+1)(x-1)(x-3)
The company breaks even at 1 tree and 3 trees.
Answer:
11
Step-by-step explanation:
PC=QC=RC
3x+7=51-x
3x+x=51-7
4 x=44
x=11
Answer:
x=6
Step-by-step explanation:
divide each term by 2 then simplify