Answer:
![\large\boxed{ -4](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%20-4%3Cx%3C%5Cfrac%7B1%7D%7B2%7D%5Cto%20x%5Cin%5Cleft%28-4%2C%5C%20%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%7D)
Step-by-step explanation:
![Domain:\ 2x-1\neq0\to x\neq\dfrac{1}{2}](https://tex.z-dn.net/?f=Domain%3A%5C%202x-1%5Cneq0%5Cto%20x%5Cneq%5Cdfrac%7B1%7D%7B2%7D)
![\dfrac{x+4}{2x-1}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B4%7D%7B2x-1%7D%3C0%5Ciff%28x%2B4%29%282x-1%29%3C0%5C%5C%5C%5Cx%2B4%3D0%5Cqquad%5Ctext%7Bsubtract%204%20from%20both%20sides%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D-4%7D%5C%5C%5C%5C2x-1%3D0%5Cqquad%5Ctext%7Badd%201%20to%20both%20sides%7D%5C%5C%5C%5C2x%3D1%5Cqquad%5Ctext%7Bdivide%20both%20side%20by%202%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D%5Cdfrac%7B1%7D%7B2%7D%7D)
![(x+4)(2x-1)=(x)(2x)+....=2x^2+...\to 2>0\\\\\text{therefore the parabola is op}\text{en up}](https://tex.z-dn.net/?f=%28x%2B4%29%282x-1%29%3D%28x%29%282x%29%2B....%3D2x%5E2%2B...%5Cto%202%3E0%5C%5C%5C%5C%5Ctext%7Btherefore%20the%20parabola%20is%20op%7D%5Ctext%7Ben%20up%7D)
![\text{Look at the picture.}](https://tex.z-dn.net/?f=%5Ctext%7BLook%20at%20the%20picture.%7D)
![\dfrac{x+4}{2x-1}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B4%7D%7B2x-1%7D%3C0%5Ciff%20-4%3Cx%3C%5Cfrac%7B1%7D%7B2%7D%5Cto%20x%5Cin%5Cleft%28-4%2C%5C%20%5Cdfrac%7B1%7D%7B2%7D%5Cright%29)
The factors are 6 and x + 5
Answer:
19 ft
Step-by-step explanation:
The perimeter of a rectangle is given by ...
P = 2(L +W)
Filling in the given values, we have ...
78 = 2(20 +W)
39 = 20 +W . . . . . divide by 2
19 = W . . . . . . . . subtract 20
The width of the rectangular pen is 19 feet.
Answer:
6x^2 +12x -1
Step-by-step explanation:
The perimeter is the sum of the two leg lengths and the base length:
P = 2(3x^2 +4x +2) +(4x -5)
= 6x^2 +8x +4 +4x -5
P = 6x^2 +12x -1