Answer:
(4,5)
Step-by-step explanation:
The "feasible region" has vertices (0,0), (7,0), (5,4), and (4,5)
P = 5x + 6y
Plug in each vertices in P and find out which give maximum value
(0,0) => P= 5(0) + 6(0) = 0
(7,0) => P= 5(7) + 6(0) = 35
(5,4) => P= 5(5) + 6(4) = 49
(4,5) => P= 5(4) + 6(5) = 50
We got maximum P=50 for vertex (4,5)
So the coordinates of the point that has the maximum value is (4,5)
Answer: (x+4)(x^2+16)
Step-by-step explanation:
x^3+4x^2+16x+64
x^3+4x^2+16x+64
=(x+4)(x^2+16)
have a nice day!!
Answer:
Step-by-step explanation:
let the consecutive even numbers be 2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.
2n(2n+2)-(2n-2)(2n+4)
=4n²+4n-(4n²+8n-4n-8)
=4n²+4n-4n²-8n+4n+8
=8
4 gallons but still have some left over
(3 1/6 gallons)
Answer:
x=-7
Step-by-step explanation:
2x+3=x-4
2x-x=-4-3
x=-7