If there are 3 adventure books for every 7 biographies, which equation correctly shows the relationship between adventure books (a) and biographies (b)?

The correct answer is A. A = 3/7 × B

Correct statement and question:

If there are 3 adventure books for every 7 biographies, which equation correctly shows the relationship between adventure books (A) and biographies (B)?  

A: A = 3/7 × B

B: B = 3/7 × A

C: 7/3 = A × B

D: A = 7/3 × B

Source: Previous question that can be found at

Step-by-step explanation:

A = Adventure books

B = Biographies

There are 3 adventure books for every 7 biographies

Which equation correctly shows the relationship between adventure books (A) and biographies (B)?  

3/7 = A/B

7A = 3B

A = 3B/7

The correct answer is A. A = 3/7 × B

So firstly, we have to figure out what the vertex is. The best method of doing this is by converting the standard form equation to vertex form.

First step is to separate x^2-4x and 12 with parentheses:

Next, to make what's inside the parentheses a perfect square, we want to find what is half of the x coefficient and then square that. In this case, that is four. Add 4 inside of the parentheses, and add -4 outside of the parentheses:

Next, you want to factor (x^2-4x+4), which is (x-2)^2, and combine 12 and -4 together, and your vertex form is

Now that we have the vertex form, we can find the vertex. To find this, if the vertex form was , then the vertex is (h,k). In this context, h = 2 and k = 8, therefore your vertex is (2,8) and the table with that vertex is the fourth table.