1. "the graph has the same zeros" : so let a be the "triple" root of the cubic polynomial function.
2. So f(x)=

3. Don't forget that the expression might have a coefficient b as well, and still maintain the conditions:

4. Now, f(0)=-5 so




5. the function is

where a can be any real number except 0
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
You have to use the distributive property, therefore you get 2x+13/3.
The next step is to do 2 x 5 because they gave us a number for the variable x. Then you have to do 2 x 13 which gives us 26.
10+26=36 and 36/3=12, hope I helped, Have a nice day! :)
To find the difference of given expression:

First step is to subtract the whole number5 and 3.
So, 5 - 3 = 2.
Now we can find the difference of fractions.
To subtract the fractions , we need to find the common denominator.
Common denominator of 3 and 5 is 15.
So, we need to make both the denominator equal to 15.

Similarly, 
Therefore, 
=
= 
So, the difference of given expression is
.
So, the correct choice is C.
Answer:
Sample model as the picture attached, which shows 2/3 of 18 are circled.
Step-by-step explanation:
Here is the correct question: Your class has 18 students. Exactly 2/3
of them say that, out of all their subjects, they like science the most. Which model shows 2/3 of 18 circled?
Given: Total number of student is 18.
2/3 of the total students like science the most.
Now, calculating the number students like the science the most.
∴ Number of students who like the science most= 
12 students like the science most out of total students.
Sample model are shown in the picture attached, where out of 18 students only 12 are inside the circle to show they like science the most.