Answer:
The minimum cost is $9,105
Step-by-step explanation:
<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>
∵ C(x) = 0.5x² - 130x + 17,555
- Differentiate it with respect to x
∴ C'(x) = (0.5)(2)x - 130(1) + 0
∴ C'(x) = x - 130
Equate C' by 0 to find x
∵ x - 130 = 0
- Add 130 to both sides
∴ x = 130
∴ The minimum cost is at x = 130
Substitute the value of x in C(x) to find the minimum unit cost
∵ C(130) = 0.5(130)² - 130(130) + 17,555
∴ C(130) = 9,105
∵ C(130) is the minimum cost
∴ The minimum cost is $9,105
Answer:
x=-5 & y=-2
Step-by-step explanation:
y= 3x+13
y= x-3
x-3=3x+13
-3=2x+13
-10=2x
x=-5
then
y=3(-5)+13
y=-15+13
y=-2
Answer:
The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft
Step-by-step explanation:
Given;
two side of the triangle, 6 ft and 6 ft
let the third side of the triangle = x
Apply the rules of length of a triangle to determine the third side of the triangle.
Based on this rule: (6 - 6) < x < (6 + 6)
0 < x < 12 ft
Therefore, the length of the third side will be greater than 0 but less than 12 ft
The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft
Answer:36.10
Step-by-step explanation: add 31+5= 36 the other one 1 +9 = 10 that's the answer please mark me as brainlest
The cumcutative property of addition