The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.
To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000
Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.
The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20
Answer:
Number of tires = 1000
Minimum cost = 20
Answer:
(-10)²= -10 × -10 = 100
Step-by-step explanation:
When any number is squared whether it is positive or negative, the result will always be positive:
Anything squared means the number multiplied by itself:
So:
(-10)²= -10 × -10 = 100
Factor out the GCF first
3(2x² - x - 10)
3(2x - 5)(x + 2)
9514 1404 393
Answer:
(C) 0.27 × 9 = 2.43
Step-by-step explanation:
Each colored section is 27 small squares, so is 27/100 = 0.27 of the whole. There are 9 colored sections, together totalling 2 wholes plus 43 small squares, or 2.43.
The equation this represents could be ...
0.27 × 9 = 2.43 . . . . . matches choice C
