PART A:
The table of h(t) and g(t) for the value of x between 4 and 7 inclusive are shown below.
The solution for h(x)=g(x) lies between x = 4 and x = 5, this is becuase the range of value given by h(4) and h(5) and g(4) and g(5).
The graph is shown in picture 2 to confirm this. The two functions intersect each other between x = 4 and x = 5
PART B:
The point of intersection is the point where the cannon balls will collide.
Answer:
C.
Step-by-step explanation:
You need to use the grids to draw rectangles which meet the requirements to help you put the answers in on the right.
1) Short side of 7 and long side of 9.
2) Short side of 9 and long side of 10.
3) Short side of 3 and long side of 8.
4) Short side of 4 and long side of 9.
5) Short side of 3 and long side of 5.
6) Short side of 6 and long side of 8.
7) Short side of 1 and long side of 2
8) Both sides 10 (this is technically a square).
9) Short side of 6 and long side of 9.
10) Short side of 7 and long side of 8.
11) Short side of 2 and long side of 3.
12) Short side of 6 and long side of 9.
You can draw these a few different ways to still get a correct result, so above are just one way of doing it.
Answer:
The correct option is D.
Step-by-step explanation:
The linear regression equation is in the form of

Where,


The formula of r is
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%28%5Csum%20x%5E2%29-%28%5Csum%20x%29%5E2%5D%5Bn%28%5Csum%20y%5E2%29-%28%5Csum%20y%29%5E2%5D%7D%7D)
The values are

Using above formula, we get

Therefore option D is correct.