Question

Researchers identified college students who generally were procrastinators or​ non-procrastinators. The students were asked to report how many symptoms of physical illness they had experienced throughout the semester. By the end of the​ semester, most students had had some symptoms of physical illness regardless of their planning skills. The number of​ symptoms, y, reported for​ non-procrastinators was summarized in the​ function, equals.2x plus 6.5​, where x stands for the number of passed weeks of the semester.​ Similarly, equals.9xplus3 for procrastinators. Find the week in the semester where both groups of students reported the same number of symptoms.

Answer 1

By solving the equations y = 0.2x + 6.5 for non-procrastinators and y = 0.9x + 3 for procrastinators, we find that both groups report the same number of symptoms by the end of the 5th week of the semester.

Step-by-step explanation:

To find the week where both groups of college students reported the same number of physical illness symptoms, we need to set the two equations equal to each other and solve for x, which represents the number of passed weeks of the semester.

For non-procrastinators, the number of symptoms, y, is given by the function y = 0.2x + 6.5. For procrastinators, the function is y = 0.9x + 3. Setting these two equations equal to each other:

0.2x + 6.5 = 0.9x + 3

Now, we will subtract 0.2x from both sides to get:

6.5 = 0.7x + 3

Next, we subtract 3 from both sides:

3.5 = 0.7x

Finally, to find x, we divide both sides by 0.7:

x = 5

Therefore, at the end of the 5th week, both procrastinators and non-procrastinators reported the same number of symptoms.

Answer 2

Answer:3(3x+1)

Step-by-step explanation: Factor 9x+3