Answer:
The answer is 
.
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element 
there exist another element, denoted by 
such that 
, where 
stands for the identity element of G.
So, given the equality 
we make a left multiplication by 
and we obtain:
But, 
. Hence, 
.
Now, in the equality we make a right multiplication by 
, and we obtain
.
Recall that 
and 
. Therefore,
.
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
Answer:
-0.5 is the larger average rate
Step-by-step explanation:
-3.142 is less than -0.5
Answer:
31 human cases.
Step-by-step explanation:
The least squares line equation for the number of reported dead birds (x), versus the number of human West Nile virus cases (y) is
y = -10.2638 + 0.0491x
If the number dead birds reported in a year is 844, then we have to find the numbers of human cases of West Nile virus.
To find the numbers we will plug in the value of x = 844 in the linear equation.
y = -10.2638 + 0.0491(844)
= -10.2638 + 41.4404
= 31.1766
≈ 31
Therefore, 31 human cases can be expected.
