Answer:
(x+2)²+1
Step-by-step explanation:
because the graph we know that gx is (x+2)²+1
Answer:
The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
Step-by-step explanation:
To find: What is the constant term in the polynomial expression, and what does it represent?
The given expression is
.
To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.
=![-8(0)^2 + 54(0) + 140](https://tex.z-dn.net/?f=-8%280%29%5E2%20%2B%2054%280%29%20%2B%20140)
=![140](https://tex.z-dn.net/?f=140)
The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.
Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
Answer:
![(4x+1)(-2x^2-3)](https://tex.z-dn.net/?f=%284x%2B1%29%28-2x%5E2-3%29)
Step-by-step explanation:
The given expression is ![-8x^3-2x^2-12x-3](https://tex.z-dn.net/?f=-8x%5E3-2x%5E2-12x-3)
First of all we make groups
![(-8x^3-2x^2)+(-12x-3)](https://tex.z-dn.net/?f=%28-8x%5E3-2x%5E2%29%2B%28-12x-3%29)
Take GCF from each group
![-2x^2(4x+1)-3(4x+1)](https://tex.z-dn.net/?f=-2x%5E2%284x%2B1%29-3%284x%2B1%29)
Now, we can factored out the common term
![(4x+1)(-2x^2-3)](https://tex.z-dn.net/?f=%284x%2B1%29%28-2x%5E2-3%29)
Hence, the resulting expression is
![(4x+1)(-2x^2-3)](https://tex.z-dn.net/?f=%284x%2B1%29%28-2x%5E2-3%29)
when u have a bunch of numbers together
Answer:
Minimum value is 18
It occurs at P(6,0)
Step-by-step explanation:
The given objective function is
The vertices of the feasible region are .
We plug in the vertices in to feasible region and evaluate to obtain,
P(0,7) = 3(0) + 5(7)
P(0,7) = 0+35
P(0,7) = 35
P(3,7) = 3(3) + 5(7)
P(3,7) = 9+35
P(3,7) = 44
P(6,3) = 3(6) + 5(3)
P(6,3) = 15+15
P(6,3) = 33
P(6,0) = 3(6) + 5(0)
P(6,0) = 18+0
P(6,0) = 18