Answer:
(1/2, 6).
Step-by-step explanation:
Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.
We have:

Take the derivative of both sides with respect to x:

Simplify:

We will now set this equal to 0 and solve for x. Hence:

Hence, the graph turns at x=1/2. This is the x-coordinate.
Then it follows that the y-coordinate will be:

Hence, our coordinate Is (1/2, 6).
Answer is B.
it's parallelogram and opposite sides are congruent.
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Answer:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]
Step-by-step explanation:
For this case we know this:
with both Y and u random variables, we also know that:
![[tex] E(v) = 0, Var(v) =1, E(X) = 1, Var(X)=2](https://tex.z-dn.net/?f=%20%5Btex%5D%20E%28v%29%20%3D%200%2C%20Var%28v%29%20%3D1%2C%20E%28X%29%20%3D%201%2C%20Var%28X%29%3D2)
And we want to calculate this:
Part a

Using properties for the conditional expected value we have this:

Because we assume that v and X are independent
Part b

If we distribute the expected value we got:

Part c

Using properties for the conditional expected value we have this:

Because we assume that v and X are independent
Part d

If we distribute the expected value we got:

Part e

Part f

Part g

Part h
E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]
The answer would be 12x-15
83 would be the answer. You don’t gotta multiply or anything