Answer:
4
Step-by-step explanation:
Divide 6 3/4 by 1 1/2
Convert into improper fractions, 27/4 and 3/2
![\frac{27}{4} / \frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4%7D%20%2F%20%5Cfrac%7B3%7D%7B2%7D)
![\frac{27}{4} * \frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4%7D%20%2A%20%5Cfrac%7B2%7D%7B3%7D)
![\frac{9}{2} = 4.5](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D%20%3D%204.5)
The question asks for the number of whole cakes, so the answer would be 4.
Answer:
If each vertical line passes through only one point, it is a function.
Step-by-step explanation:
Answer:
Yessir
Step-by-step explanation:
Friend 8028966, is very smart because ballons are very smart
Answer:
"line" a straight line graph is always linear once the line isn't straight, it'll no longer be called a line and will never be linear anymore
By "slope" I assume you mean slope of the tangent line to the parabola.
For any given value of <em>x</em>, the slope of the tangent to the parabola is equal to the derivative of <em>y</em> :
![y=ax^2+bx+c\implies y'=2ax+b](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc%5Cimplies%20y%27%3D2ax%2Bb)
The slope at <em>x</em> = 1 is 5:
![2a+b=5](https://tex.z-dn.net/?f=2a%2Bb%3D5)
The slope at <em>x</em> = -1 is -11:
![-2a+b=-11](https://tex.z-dn.net/?f=-2a%2Bb%3D-11)
We can already solve for <em>a</em> and <em>b</em> :
![\begin{cases}2a+b=5\\-2a+b=-11\end{cases}\implies 2b=-6\implies b=-3](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D2a%2Bb%3D5%5C%5C-2a%2Bb%3D-11%5Cend%7Bcases%7D%5Cimplies%202b%3D-6%5Cimplies%20b%3D-3)
![2a-3=5\implies 2a=8\implies a=4](https://tex.z-dn.net/?f=2a-3%3D5%5Cimplies%202a%3D8%5Cimplies%20a%3D4)
Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when <em>x</em> = 2:
![4a+2b+c=18\implies2(2a+b)+c=10+c=18\implies c=8](https://tex.z-dn.net/?f=4a%2B2b%2Bc%3D18%5Cimplies2%282a%2Bb%29%2Bc%3D10%2Bc%3D18%5Cimplies%20c%3D8)
So the parabola has equation
![\boxed{y=4x^2-3x+8}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D4x%5E2-3x%2B8%7D)