It's 24k-6
By order of operations, you do the multiplication first: 3k(4) = 12k
12k-6+12k now combine like terms
24k-6
Hope that helps
Answer:
x = 7 m and x = −7 m
Step-by-step explanation:
Its a modulus problem
concept
|x| = x when x>=0
|x| = -x when x < 0
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Now given
|x| − 2 = 5
adding 2 both sides
|x| − 2 + 2 = 5 + 2
|x| = 7
now
x = 7 when x >= 0
x = -7 when x<0
Thus, correct answer is x = 7 m and x = −7 m
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:
45
Step-by-step explanation:
20 / 9 = 2.222222222223
100 / 45 = 2.222222222223
9 is 45% of 20 and 45 is 45% of 100.
Answer:
v = 8
Step-by-step explanation:
-10= -5/4v first multiply both sides of the equation by -4/5
-10(-4/5) = v this cancels out the right side.
multiply the left side.
so you are left with 40/5 = v
next, simplify you will get 8=v
