Answer:
40 mi
Step-by-step explanation:
a² + b² = c²
24² + 32² = c²
1600 = c²
√1600 = c
c = 40
Answer:
20
Step-by-step explanation:
The given relation can be written as the 2-step linear equation ...
(1/3)n +2 1/3 = 9
n +7 = 27 . . . . . . . . . step 1: multipy by 3 (makes the coefficient = 1)
n = 20 . . . . . . . . . . . step 2: subtract 7 (separates variable from constant)
The number is 20.
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<em>Additional comment</em>
Usually it is convenient to do the two steps in the opposite order: get the variable term by itself, then make its coefficient 1. Here, we chose the order we did because it eliminated fractions from the problem, which is often a step you'd like to do first.
<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:
x>2
Step-by-step explanation:
im the same guy who wrote the comment. I just want points lol