Answer: Option A is correct.
Step-by-step explanation:
- The correlation coefficient(r) is a statistical measure that computes the strength of the relationship between two variables.
It lies between -1 and 1.
If the correlation coefficient in an ordinary least squares regression = 1.00.
That indicates that there is a perfect relationship between the variables.
i.e. all the data points must fall exactly on a straight line with a positive slope. .
[when r is positive, the slope of the line is positive].
i.e. option A is correct.
The answer is ........
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay
Remember the first time we met
You was at the mall wit yo friend
I was scared to approach ya
But then you came closer
Hopin' you would give me a chance
Who would have ever knew
That we would ever be more than friends
We're real worldwide, breakin' all the rules
She like a song played again and again
That girl, like something off a poster
That girl, is a dime they say
That girl, is a gun to my holster
She's running through my mind all day, ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
See you been all around the globe
Not once did you leave my mind
We talk on the phone, from night 'til the morn'
Girl, you really changed my life
Doin' things I never do
I'm in the kitchen cookin' things she likes
We're real worldwide, breakin' all the rules
Someday I wanna make you my wife
That girl, like something off a poster
That girl, is a dime they say (Hey)
That girl, is a gun to my holster
She's running through my mind all day, ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
Shawty's like a melody in my head
That I can't keep out, got me singin' like
Na na na na everyday
It's like my iPod's stuck on replay
Replay-ay-ay-ay
I can be your melody
Oh, girl, I could write you a symphony
The one that could fill your fantasies
So come baby girl let's sing with me, ay
I can be your melody
Oh, girl, I could write you a symphony
The one that could fill your fantasies
So come baby girl let's sing with me, ay
Na na na na na na na
Na na na na na na
Shawty got me singin'
Na na na na na na na
Na na na na na na
Now she got me singin'
Answer:
f(x) = (1/18)x^2 - (4/9)x - 65/18
Step-by-step explanation:
Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact: y = -3/2. Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5. The x-coordinate of the vertex is 4, which comes from that 4 in (4,3). Thus, the vertex is (4, -4.5) or (4, -4 1/2).
The standard equation for a vertical parabola with vertex at (h,k) is:
4p(y-k) = (x-h)^2, where p is the distance between vertex and focus or between vertex and directrix. In this case p = 4.5. Thus, the equation of this quadratic is 4(4.5)(y - [-4.5]) = (x - 4)^2, or
18(y+4.5) = (x-4)^2, or y+4.5 = (1/18)(x-4)^2.
Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:
y + 4.5 = (1/18)(x^2 - 8x + 16). Multiplying all terms by 18 to remove both fractions, we get:
18y + 81 = x^2 - 8x + 16. Rearranging these terms, we get:
18y = x^2 - 8x + 16 - 81, or
18y = x^2 - 8x - 65, or
y = f(x) = (1/18)x^2 - (4/9)x - 65/18.
