How much is 3a²-5ab+7b²+3 greater than 2a²+2ab+5?
2 answers:
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Answer:
a=1
b=81
c=9
Step-by-step explanation:
Line 1--------- >(0,2) (1,-1)
y=mx+b m=(-1-2)/(1-0)=-3
2=(-3)*(0)+b----- > b=2
y1=-3x+2
Line 2--------- >(0,-1) (2,2)
y=mx+b m=(2+1)/(2-0)=3/2
-1=(3/2)*(0)+b----- > b=-1
y2=(3/2)x-1
<span>using a graphic tool
see attached figure</span>
the best estimate solution for the system is <span>(1, 1)
because </span>is the only one within the range of the x axis (-5,5) and the y axis (-5,5)
y=mx+b m=(-1-2)/(1-0)=-3
2=(-3)*(0)+b----- > b=2
y1=-3x+2
Line 2--------- >(0,-1) (2,2)
y=mx+b m=(2+1)/(2-0)=3/2
-1=(3/2)*(0)+b----- > b=-1
y2=(3/2)x-1
<span>using a graphic tool
see attached figure</span>
the best estimate solution for the system is <span>(1, 1)
because </span>is the only one within the range of the x axis (-5,5) and the y axis (-5,5)
The maximized value of the function is (c) 119/2
<h3>Maximization problem</h3>Maximization problems are used to determine the optimal solution of a linear programming model
<h3>Objective function</h3>The objective function is given as:
The constraints are given as:
See attachment for the graph of the constraints
From the graph, the optimal solution is: (2.83, 2.83)
So, the maximized value is:
Approximate
Rewrite as a fraction
Hence, the maximized value of the function is (c) 119/2
Read more about maximization problem at:
