Answer:
no
Step-by-step explanation:
The 5x+30 is the supplementary angle of the interior one:
180 - 5x - 30 = -5x + 150
Then they have to add up to 180:
4x-9 + 2x+3 -5x + 150 = 180
which simplifies to x = 36
So the angles would be 135, 75 and -30, which is impossible!
Answer:
I'm pretty sure its D
Step-by-step explanation:
w is represented by week of saving he gets 6 dollars every week so 6w
he gets 45 dollars from his presents so he adds the 45 to the equation leaving him 111 dollars
so the equation is 6w+45=111
Answer:
$37.5
Step-by-step explanation:
(25/50) x 75 = 37.5
$25/50 .... each apple cost $0.5
0.5 x 75 = 37.5
Answer:
D
Step-by-step explanation:
It says less than do I think it should be d
Sorry if I am wrong
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
