1 revolution = 360 degrees
3/2pi = 1 second
1 revolution = 2pi radius
3/2pi (360/2pi)= 3/2pi (180/pi)=270 degree sec.
Fx=2x2-x-6 Gx=x2-4
Fx÷Gx
2x2-x-6/x2-4
Simplify
2x+3 x-2/ x-2 x+2
You can cancel out x-2 since they are on both top n bottom
2x+3/x+2 answer is C
Answer:
20 masks and 100 ventilators
Step-by-step explanation:
I assume the problem ask to maximize the profit of the company.
Let's define the following variables
v: ventilator
m: mask
Restictions:
m + v ≤ 120
10 ≤ m ≤ 50
40 ≤ v ≤ 100
Profit function:
P = 10*m + 65*v
The system of restrictions can be seen in the figure attached. The five points marked are the vertices of the feasible region (the solution is one of these points). Replacing them in the profit function:
point Profit function:
(10, 100) 10*10 + 65*100 = 6600
(20, 100) 10*20 + 65*100 = 6700
(50, 70) 10*50 + 65*70 = 5050
(50, 40) 10*50 + 65*40 = 3100
(10, 40) 10*10 + 65*40 = 2700
Then, the profit maximization is obtained when 20 masks and 100 ventilators are produced.
Answer:
Monthly cost = $10 + $1.75x
Step-by-step explanation:
Given the following :
Membership cost = $10 per month
Discounted price for members = $1.75 per slice of pizza
If Autum purchased the membership, the monthly cost for x slices of pizza
Monthly cost of x slices will be :
Membership cost + (discounted price * number of slices)
Monthly cost = $10 + ($1.75 * x)
Monthly cost = $10 + $1.75x