Answer:
area of the rectangle = 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)
Step-by-step explanation:
The rectangle has a height of 5m⁴ and the width is m² - 2m - 1.The area of the rectangle is the product of the width and the height.
width = m² - 2m - 1
height = 5m⁴
area of rectangle = 5m⁴ × (m² - 2m - 1)
area of rectangle = 5m⁴(m² - 2m - 1)
area of the rectangle = 5m⁶ - 10m⁵ - 5m⁴
area of the rectangle = 5(m⁶ - 2m⁵ - m⁴)
The area of the entire rectangle can be expressed as 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)
Answer:
400 total .... 120 officers
Step-by-step explanation:
.7 X = 280
x=400
To determine the marginal cost of the production, one needs to derive the given equation for the cost,
c(x) = 6x4 - 30x3 - 54x2 + x + 2
The derivative of the equation in terms of x is as reflected below.
c'(x) = 24x3 - 90x2 - 108x + 1
Equate the derivative to zero in order to determine the value of x .
c'(x) = 0 = 24x3 - 90x2 - 108 + 1
The value of x from the equation is 4.025.
Substituting x to the original equation,
c(x) = -1254.35 and at c(0) = 2