Answer:
Average ROC = 0
Step-by-step explanation:
Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)
a = -3 f(a) = 10 ... x=-3, y=10
b = 6 f(b) = 10 ... x'=6, y'=10
Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0
Answer:
X = 9
Step-by-step explanation:
6(x−3)=3x+9
(6)(x)+(6)(−3)=3x+9
6x+−18=3x+9
6x−18=3x+9
6x−18−3x=3x+9−3x
3x−18=9
3x−18+18=9+18
3x=27
3x
/3 = 27
/3
If you add the two equations, you will indeed eliminate x:
![\begin{cases}y=x+10\\y=-x+3\end{cases} \implies y+y = (x+10)+(-x+3) \iff 2y=13 \iff y=\dfrac{13}{2}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dy%3Dx%2B10%5C%5Cy%3D-x%2B3%5Cend%7Bcases%7D%20%5Cimplies%20y%2By%20%3D%20%28x%2B10%29%2B%28-x%2B3%29%20%5Ciff%202y%3D13%20%5Ciff%20y%3D%5Cdfrac%7B13%7D%7B2%7D)
Answer:
28 and 12t
Step-by-step explanation:
4 x 7
4 x 3t
To solve this, we'll use Euler's Polyhedral formula.
This formula states that in any polyhedron, the number of vertices V, faces F, and edges E, satisfy:
![V+F-E=2](https://tex.z-dn.net/?f=V%2BF-E%3D2)
If we solve for the edges E, we'll get:
![V+F-2=E](https://tex.z-dn.net/?f=V%2BF-2%3DE)
Using the data given,
![\begin{gathered} V+F-2=E \\ \rightarrow6+8-2=E \\ \rightarrow12=E \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%2BF-2%3DE%20%5C%5C%20%5Crightarrow6%2B8-2%3DE%20%5C%5C%20%5Crightarrow12%3DE%20%5Cend%7Bgathered%7D)
We get that the polyhedron would have 12 edges