Answer:
John Roberts must serve a minimum of 12, 543 days to surpass John Mrshall's record of justice.
Step-by-step explanation:
John Marshall = 2079 + 10, 463 = 12, 542 days
Now, we have to add 1 more day to pass John Marshall because if we do not, we would only be on the same level as John Marshall and NOT EXCEEDING him.
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10
So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)
Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z
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Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25
Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later
Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later
Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727
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In summary, we found
A = 25
B = 21
C = 39
D = 22.2727
The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)
Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)
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Final Answer: 39
Answer:
The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?
A. $58
B. $68
C. $78
D. $340
Answer:
I solved this like you would a system of equations - if that is not the answer you need LMK
Point form:
(- 1/11, 32/11)
Equation Form:
x = -1/11, y = 32/11
Step-by-step explanation:
Equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
In this case:
<span>center (2,7) and radius 4 so h = 2, k = 7 and r = 4
</span>Equation:
(x - 2)^2 + (y - 7)^2 = 4^2
(x - 2)^2 + (y - 7)^2 = 16
Hope it helps.
