Answer:
Option D) I and II only
Step-by-step explanation:
We are given the following in the question:
Regression equation:
where w is the weight in pounds and h is the height in inches.
Since the weight depends on height, height becomes the independent variable and weight becomes the dependent variable.
I. A person who is 61 inches tall will weigh 104.6 pounds
When h = 61,
Thus, the given statement is true.
II. For every additional inch of height, the predicted weight will increase, on average, by 3.6 pounds.
If the height increases by 1 unit, then,
Thus, the given statement is correct.
III. The correlation between weight and height is negative.
No, the given statement is not correct as with increase in height the weight increases and with decrease in height the weight decreases.
Thus, the correct answer is
Option D) I and II only
Answer:
[Vertex form]
Step-by-step explanation:
Given function:
We need to find the vertex form which is.,
where 
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have
First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.
Isolating 
and 
terms on one side.
Subtracting both sides by 15.
In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.
square of half of the co-efficient of term = 
Adding 36 to both sides.
Since 
is a perfect square of 
, so, we can write as:
Subtracting 21 to both sides:
Dividing both sides by -3.
[Vertex form]
Answer:
45°
Step-by-step explanation:
Well, compared to 90°, it looks like it's just smaller, but not too small. It couldn't be 15° degrees, or 60°, as it was probably too much. I Don't think it's 30° either, because it looked bigger than what a 30° angle would be.
Hope it helped!
~Flip
X^4 - 4x^3 - 9x^2 + 36x = 0
x(x^3 - 4x^2 - 9x + 36) = 0
x(x^2(x - 4) - 9(x - 4) = 0
x(x + 3)(x - 3)(x - 4) = 0
the zeroes are -3, 0, 3, 4 Answer
