Answer:
The value of given expression is 0, where m=21 and n=12.
Step-by-step explanation:
The given expression is
![\dfrac13m-1-\dfrac12n](https://tex.z-dn.net/?f=%5Cdfrac13m-1-%5Cdfrac12n)
substitute m=21 and n=12 in the above expression.
![\dfrac13m-1-\dfrac12n=\dfrac13(21)-1-\dfrac12(12)](https://tex.z-dn.net/?f=%5Cdfrac13m-1-%5Cdfrac12n%3D%5Cdfrac13%2821%29-1-%5Cdfrac12%2812%29)
![\dfrac13m-1-\dfrac12n=7-1-6](https://tex.z-dn.net/?f=%5Cdfrac13m-1-%5Cdfrac12n%3D7-1-6)
![\dfrac13m-1-\dfrac12n=7-7](https://tex.z-dn.net/?f=%5Cdfrac13m-1-%5Cdfrac12n%3D7-7)
![\dfrac13m-1-\dfrac12n=0](https://tex.z-dn.net/?f=%5Cdfrac13m-1-%5Cdfrac12n%3D0)
Therefore the value of given expression is 0, where m=21 and n=12.
We presume you want to find values of x that make this true.
Subtract the right side and factor:
![2x^2-5x=0\\\\x(2x-5)=0\\\\\bf{x=0\qquad\text{or}\qquad x=\dfrac{5}{2}}](https://tex.z-dn.net/?f=2x%5E2-5x%3D0%5C%5C%5C%5Cx%282x-5%29%3D0%5C%5C%5C%5C%5Cbf%7Bx%3D0%5Cqquad%5Ctext%7Bor%7D%5Cqquad%20x%3D%5Cdfrac%7B5%7D%7B2%7D%7D)
Once you have factors whose product is zero, you can find the values of x that make those factors zero. A product can only be zero if one or more contributing factors is zero.
To solve 2x-5=0, you can add 5 then divide by 2:
... 2x -5 = 0
... 2x = 5
... x = 5/2
Answer:
y = -2x + 6
Step-by-step explanation:
y = -2x + b
-4 = -2(5) + b
-4 = -10 + b
6 = b