Answer:
On the left, the first one goes with -3, the second one goes with 3, the third goes with -3, the 4th goes with 3, and the bottom one goes with 3.
Step-by-step explanation:
58 decreased by 80% = 58 x 20% = 11.6
You didn’t finish asking the question. So I will say they work differently at different paces.
Answer:
the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft
Step-by-step explanation:
Assuming that the area is rectangular shaped, then
Cost = cost of the pine board fencing * length of pine board fencing + cost of galvanized steel fencing * length of galvanized steel fencing
C = a*x + b*y
that is constrained by the area
Area= A= x*y → y= A/x
replacing in C
C = a*x + b* A/x
the minimum cost is found when the derivative of the cost with respect to the length is 0 , then
dC/dx = a - b*A/x² = 0 → x = √[b/a*A]
replacing values
x = √[b/a*A] = √[($2/ft/$5/ft)*912 ft²] = 19.1 ft
then for y
y= A/x = 912 ft²/19.1 ft = 47.74 ft
then the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft
There is a constant rate of change on the graph