Factor the perfect square trinomialsa2+20a+100
1 answer:
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Answer:
A. at (8,7) the maximum value is 98
Step-by-step explanation:
First draw the region, that is bounded by all
inequalities. This is the triangle with vertices
(6,1), (2,5) and (8,7).
Now you can see where the line f(x,y)=7x+6y
intersect this region. The maximum value will be
at endpoints of this region:
• at (6,1), f(6,1)=7-6+6-1=42+6=48;
·
at (2,5), f(2,5)=7·2+6.5=14+30=44;
• at (8,7), f(8,7)=7.8+6-7=56+42=98.
Thus, the maximum value of the function is 98 at
the point (8,7).
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Answer:
Average speed of the particle is 13 miles per hour.
Step-by-step explanation:
From the given question expression for distance traveled by the particle is
Then fro the time interval (1, 4) we have to calculate the average speed.
At t=1, s=2(1)²+3(1) =2+3 =5 miles
And at t = 4 s=2(4)²+3(4) = 2(16)+12 = 32+12 =44 miles
So displacement of the particle in the time span from 1 to hours.
s = (44-5) = 39 miles
And the times taken = (4-1) =3 hours
From the formula speed = displacement/(time taken for displacement)
V = 39/3 = 13 miles/hour