Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
41 students were in each bus and a remainder of two students have to go in a car.
Answer:
340 people would renew their membership if the gym had 400 members
The gym's claim is not accurate, because the prediction should be 340 people instead of 330
Step-by-step explanation:
With 400 members, we can predict how many will renew their membership by multiplying 400 by 0.85:
400(0.85)
= 340
So, this would predict that 340 people would renew their membership.
The gym's claim that 330 members would renew their memberships is not accurate, because the correct prediction should be 340 people.
Answer:
This question is incomplete. What exactly are we doing to the equation
PS; You can answer in the comment section. I'd help out there
Answer:
The first term is 14.
Step-by-step explanation:
The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference. Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1). The first term is 14.
