Answer: y=8.5x + 25.5
Step-by-step explanation:
y=mx+b
b= beginning number so thats
25.5 you start there
m= its slope so its 8.5
Answer:
A) (x + 2)
Step-by-step explanation:
x^2 + 5x + 6
=(x +3)(x +2)
so (x+3) and (x+2) are the factors
Answer:
-13a^2 + 170ab - 13b^2.
Step-by-step explanation:
1. 36(a+b)^2 - 49(a-b)^2
This is the difference of 2 squares: a^2 - b^2 = (a + b)(a - b).
36(a+b)^2 - 49(a-b)^2
= (6(a + b) + 7(a - b))( 6(a + b) - 7(a - b))
= (6a + 7a + 6b - 7b)( 6a - 7a + 6b + 7b)
= (13a - b)(-a + 13b)
If you require the expansion of this it is:
-13a^2 + 170ab - 13b^2.
Answer:
Option 4 : ![(0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)](https://tex.z-dn.net/?f=%280.%5Cfrac%7B3%7D%7B2%7D%20%29%20%5C%20%2C%20%5C%20%280%2C2%29%20%5C%20%2C%20%5C%20%286%2C0%29%20%5C%20%2C%20%5C%20%28%5Cfrac%7B9%7D%7B4%7D%20%2C0%29)
Step-by-step explanation:
<u>See the attached figure:</u>
To find the vertices of the feasible region, we need to graph the constraints, then find the area included by them, then calculate the vertices which is the intersection between each two of them.
As shown, the shaded area represents the solution of the constraints
So, the vertices of the feasible region are:
![(0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)](https://tex.z-dn.net/?f=%280.%5Cfrac%7B3%7D%7B2%7D%20%29%20%5C%20%2C%20%5C%20%280%2C2%29%20%5C%20%2C%20%5C%20%286%2C0%29%20%5C%20%2C%20%5C%20%28%5Cfrac%7B9%7D%7B4%7D%20%2C0%29)