Answer:
Age of teacher = 32 years
Step-by-step explanation:
Average age of 15 students = 16 years
Sum of age of 15 students = 16 * 15 = 240 years
Average of age 15 students and a teacher = 17 years
Sum of age 15 students and a teacher = 17 * 16 = 272 years
Age of teacher = 272 - 240 = 32 years
The correct graph is D.
We can tell this for two reasons. Firstly, you would need a dotted line. Since the equation includes a greater than sign, and not a greater than or equal to sign, it must be dotted.
Then we need to figure out whether to shade above or below the line. The best way to find this is by checking whether the point (0,0) should be shaded.
y + 2 > -3x - 3
0 + 2 > -3(0) - 3
2 > -3 (TRUE)
Since this is a true statement, the side with (0,0) needs to be shaded. Graph D is the only one that has a dotted line and (0,0) shaded.
The given function is,

The graph can be drawn as,
The period will be distance between two consequetive maximas,

Thus, period is correct.
The amplitude can be determined as,

Thus, amplitue is incorrect.
The range is,

Thus, the range is correct.
The midline is,

Thus, the midline is correct.
Thus, option (b) is the solution.
Answer:
Im not so sure about the answers that i picked if you want to use them use them
Step-by-step explanation:
y=13-2x^2
y=x+7
2=y + x^5