<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.
Standard rate of pay 40 hours. Gets 175% for overtime. One week Erik works regular 40 hours and has 16 hours of overtime. He makes $680 that week. Which equation would solve for the standard rate of pay?
Answer:
The answer to your question is : number 1 = 13 number 2 = 15
Step-by-step explanation:
# 1 = 2n +1
# 2 = 2n +3
Conditions:
2n + 1 + 77 = 6(2n + 3)
Simplify 2n + 78 = 12 n + 18
Solve it for n 12n - 2n = 78 -18
10n = 60
n = 60/10
n = 6
But
# 1 = 2n + 1 = 2(6) + 1 = 12 + 1 = 13
# 2 = 2n + 3 = 2(6) + 3 = 12 + 3 = 15
The shapes of the 2 graphs are the same. However, because x has a fractional coefficient between 0 and 1, the period of the graphed function is twice as long (that is, 2pi instead of pi), and the graph has been reflected about the x-axis and then stretched vertically by a factor of 3.