4x+3y=7
3x-2y=9
12x+9y=21
12x-8y=36
^^Multiply top equation by 3 and multiply bottom equation by 4
12x+9y=36
- 12x-8y=36
17y=-15
^^Then subtract those two new equations
17y/17= -15/17
Y= -0.88
^^Next divide both sides by 17
4x+3* -0.88=7
4x + (-2.64) =7
-(-2.64) -(-2.64)
4x = 9.64
4x/4=9.64/4
X=2.41
^^then choose on equation and put your new y in the y spot and solve.
X=2.41
Y=-0.88
Your point/coordinate is (2.41,-.88)
Answer:
Step-by-step explanation:
So we have the function:
To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:
Switch:
Add 1 to both sides:
Divide both sides by 6:
And that's our answer :)
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
------------------
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
------------------
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)
------------------
Final Answer: 39
Answer:
answer
Step-by-step explanation:
you have to subtract 3b from 3a so the answer is 0.
6 months goes into 2 years 4 times
30 x 4 = 120
120% of 15,000 is
100% is 1,500
10% is 150
150 x 2 = 300 (20%)
1,500+300=1,800
15,000+1,800=16,800
hope this helped
