Answer:
B. -1
Step-by-step explanation:
If we have a parabola whose equation is:

The line of symmetry is calculated as:

Now, we have the equation
and the line of symmetry is 
Where:

So, we can replace
by -4 and
by -2 and solve for
using the following equation as:

It means that the equation of the parabola is equal to:

Answer:
A and C
Step-by-step explanation:
The two variables that exhibit a positive direct linear variation are x and y and the equation is y = 6x
<h3>How to give two variables that exhibit a positive direct linear variation.</h3>
A positive direct linear variation is represented as
y = mx
Where
m represents the constant of variation
In this case,
m can be any value greater than 0
Say m = 6
So, we have
y = 6x
Hence, the two variables that exhibit a positive direct linear variation are x and y and the equation is y = 6x
Read more about direct variation at:
brainly.com/question/6499629
#SPJ1
Answer:
a) 
b) 0.27778
Step-by-step explanation:
a)
There are 26 lowercase letters and 10 digits.
The character that must be a digit can be generated in 10 different ways and the others, in 26+10=36 different ways.
Since the password is 6 characters long, by the Fundamental Rule of Counting there are
10*36*36*36*36*36 = 604,661,760
In scientific notation this number can be expressed as
b)
By the <em>Fundamental Rule of Counting</em>, there would be
different combinations of 6 characters, but only the number computed in a) are valid combinations, so the probability of generating a valid password is

7 times 48 is 336
7 times 47 is 329
332/7= 47.4
7/332=.021