Answer:
6/25
Step-by-step explanation:
0.24
24/100
12/50
6/25
Unknown side = square root (100 - 49)
unknown side = square root (51)
unknown side = 7.14
Answer: 20
<u>Step-by-step explanation:</u>
- Step 1: Find the vertices (intersections) of the constraints by either graphing or solving the system of equations. I graphed them and found two of the vertices: (0, 1) and (4,0) but needed to solve the system to find the third vertex (point of intersection).
-x + 3 =
+ 1
<u>+x -1 </u> <u> +x -1 </u>
2 = ![\frac{4}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx)
(3)2 = ![(3)\frac{4}{3}x](https://tex.z-dn.net/?f=%283%29%5Cfrac%7B4%7D%7B3%7Dx)
6 = 4x
<u> ÷4 </u> <u>÷4 </u>
= x
y =
+ 1
=
+ 1
=
+ 1
= ![\frac{3}{2}x](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Dx)
Third vertex is at ![(\frac{3}{2},\frac{3}{2)}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%2C%5Cfrac%7B3%7D%7B2%29%7D)
- Step 2: Input the vertices into the objective function: C = 5x - 4y
(0, 1): C = 5(0) - 4(1)
= 0 - 4
= -4
: C = 5
- 4![(\frac{3}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29)
=
- ![\frac{12}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B2%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
= 1.5
(4, 0): C = 5(4) - 4(0)
= 20 - 0
= 20
- Step 3: Evaluate the answers above to find the maximum: <em>20</em>
First u have to find the slope.
When we graph for the slope we have to remind that
Slope (m)=rise÷run and always start with the y int if the slope is negative then the graph is gonna down and If the slope is positive then the graph is gonna up