To answer this item, we take the differential of the equation and equate to zero.
C(x) = 0.8x² - 256x + 25939
Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0
The value of x from the derived equation above is 160.
Thus, the number of machine to be made in order to minimize the cost should be 160.
Geometric sequence is a sequence of numbers that have a common ratio between them.
Answer:
4 mph
Step-by-step explanation:
Let :
Boat speed = 20 mph
speed of current = x mph
Distance against current = 2 miles
Distance with current = 3 miles
speed against current will be ; 20 - x
speed with current will be ; 20 + x
Time =distance / speed against time against = time with current
Solving Mathematically ;
2/(20-x )=3/(20 +x)
2(20+x )= 3( 20-x )
40+2x = 60-3x
3x +2x=20
5x=20
x = 20 / 5
x = 4 mph
Speed of current = 4 mph
9.58 = 9 58/100 = 9 29/50
(3x - 2)^2 is the same as:
(3x - 2)(3x - 2)
use the FOIL method: First, Outside, Inside, Last
3x(3x) = 9x²
3x(-2) = -6x
-2(3x) = -6x
-2(-2) = 4
9x² - 6x - 6x + 4
Combine like terms
9x² (- 6x - 6x) + 4
9x² - 12x + 4 is your answer
hope this helps
