So you have to add all the fractions together and then divide by five. When dealing with mixed fractions i like to add the whole numbers first, then add the fractions:
4 2/3, 1 1/4, 1 1/3, 3/4
the whole numbers: 4 + 1 + 1 = 6
then we are left with 2/3, 1/4, 1/3, 3/4
add the ones with common denominators together to make it easiest: 2/3 + 1/3 = 3/3 = 1 (another whole number! add it to 6 to get 7)
now we are left with 1/4 + 3/4 = 4/4 = 1 (another whole number! add it to 7 to get 8)
Now we know there are 8 cups of trail mix all together divide it by 5 friends and you get 8/5. 5 goes into 8 once with three left over so you get 1 3/5 cups per friend.
The complete question in the attached figure
we know that
slope m=(y2-y1)/(x2-x1)
the unit of the y coordinates is the distance
the unit of the x coordinates is the time
so
the slope is equal to the speed
units of the slope=units of distance/units of time
therefore
the answer is the option m/s
2/3 i think is the answer
Answer:
![\large\boxed{B.\ (f+g)(x)=2x^2+2x-2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BB.%5C%20%28f%2Bg%29%28x%29%3D2x%5E2%2B2x-2%7D)
Step-by-step explanation:
![f(x)=-x^2+6x-1\\\\g(x)=3x^2-4x-1\\\\(f+g)(x)=f(x)+g(x)\\\\\text{substitute:}\\\\(f+g)(x)=(-x^2+6x-1)+(3x^2-4x-1)\\\\(f+g)(x)=-x^2+6x-1+3x^2-4x-1\qquad\text{combine like terms}\\\\(f+g)(x)=(-x^2+3x^2)+(6x-4x)+(-1-1)\\\\(f+g)(x)=2x^2+2x-2](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E2%2B6x-1%5C%5C%5C%5Cg%28x%29%3D3x%5E2-4x-1%5C%5C%5C%5C%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29%5C%5C%5C%5C%5Ctext%7Bsubstitute%3A%7D%5C%5C%5C%5C%28f%2Bg%29%28x%29%3D%28-x%5E2%2B6x-1%29%2B%283x%5E2-4x-1%29%5C%5C%5C%5C%28f%2Bg%29%28x%29%3D-x%5E2%2B6x-1%2B3x%5E2-4x-1%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%28f%2Bg%29%28x%29%3D%28-x%5E2%2B3x%5E2%29%2B%286x-4x%29%2B%28-1-1%29%5C%5C%5C%5C%28f%2Bg%29%28x%29%3D2x%5E2%2B2x-2)