Answer:
49
Step-by-step explanation:
The cost function is the sum of the costs as a function of the number of bins made.
C(x) = 4x + 18424
The profit function is the difference between the revenue and the cost functions.
P(x) = R(x) - C(x)
P(x) = -2x^2 + 478x - (4x + 18424)
P(x) = -2x^2 + 474x - 18424
The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.
P(x) = -2x^2 + 474x - 18424 = 0
x^2 - 237x + 9212 = 0
9212 = 2^2 * 7^2 * 47
(x - 188)(x - 49) = 0
x - 188 = 0 or x - 49 = 0
x = 188 or x = 49
Answer: 49
Answer:
210.8 (mean for Luis), 241.5 (mean for Darcy)
Step-by-step explanation:
Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108
2108/10 = 210.8 (mean for Luis)
Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415
2415/10 = 241.5 (mean for Darcy)
Answer:
y = 2x - 3
Step-by-step explanation:
Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:
(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).
Therefore:
(y – 3) = 2 (x – 3)
y – 3 = 2x – 6
y – 3 + 3 = 2x – 6 + 3
y = 2x - 3
<em><u>Answer: 25 Plays Total.</u></em>
60% of 25 is 15
10% of 25 = 2.5
2.5x6=15
Hope This Helps.
The answer to your Q is 4
