Answer:
5/2
Step-by-step explanation:
rise/run. the graph rises 5 and over 2 to the next point
Answer:
- 18 Type A bags
- 24 Type B bags
Step-by-step explanation:
The graph shows the constraints and the boundaries of the feasible region. The maximum profit will be had with the manufacture of 18 Type A bags and 24 Type B bags.
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The inequality describing the constraint on cutter hours is ...
2a +3b ≤ 108
The inequality describing the constraint on finisher hours is ...
3a +1b ≤ 78
The boundary lines of the solution regions of these inequalities intersect at ...
(a, b) = (18, 24)
The profit function is such that it doesn't pay to make all of one type or the other bags. The most profit is had for the mix ...
18 Type A bags; 24 Type B bags.
On the graph, the line representing the profit function will be as far as possible from the origin at the point of maximum profit.
Answer:

Step-by-step explanation:



A)
The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.
If:
d<0, there are no real solutions (though there are two imaginary ones)
d=0, there is one real solution
d>0, there are two real solutions.
In this case, d=12^2-4(4)9
d=144-144
d=0
So there is one real solution.
B)
9x^2-30x+25=0
9x^2-15x-15x+25=0
3x(3x-5)-5(3x-5)=0
(3x-5)(3x-5)=0
(3x-5)^2=0
x=5/3
x=1 2/3