Answer:
12) A = 27
13) B = 36
14) C = 25
15) D = 30
Step-by-step explanation:
We need to complete the ratio tables
We are given:
Footballs 15 5 20 C D
Baseballs A 9 B 45 54
The table shows the ratio of footballs to baseballs.
We are given the ratio 
All other ratios will also be simplified to get 
12) Calculate A
Footballs = 15
Baseballs = A
Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.
We know that 
So, A = 27
13) Calculate B
Footballs = 20
Baseballs = B
Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.
We know that 
So, B = 36
14) Calculate C
Footballs = C
Baseballs = 45
Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.
We know that 
So, C = 25
15) Calculate D
Footballs = D
Baseballs = 54
Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.
We know that 
So, D = 30
Divide both fractions by the same number.
Answer:
18.6
Step-by-step explanation:
We are given that

We have to find the value of k.
Divide by 32 on both sides then we get


Taking ln on both sides then we get







Hence, the value of k=18.6
For this case we have that by definition, the quadratic formula is:
A quadratic equation is of the form:

Option A: This equation can be solved without the quadratic formula

Option B:
This equation is not as easy to solve by factoring or as option A. We can use the quadratic formula.
Option C:

Similarly, this equation can be solved with the quadratic formula
Option D:

In this factored equation we can see that the roots are

Answer:
Option B, C