Answer:
- 5, 2, 9, 16 and d = + 7
Step-by-step explanation:
to obtain the first four terms substitute n = 2, 3, 4 into the recursive formula
f(1) = - 5 ← given
f(2) = f(1) + 7 = - 5 + 7 = 2
f(3) = f(2) + 7 = 2 + 7 = 9
f(4) = f(3) + 7 = 9 + 7 = 16
common difference d = 16 - 9 = 9 - 2 = 2 - (- 5) = 7
Answer:
Step-by-step explanation:
symmetry with respect to y-axis for y=f(x) means f(-x)=f(x)
in this case, y = f(x) = x / (x^2+4)
f(-x) = -x / ((-x)^2+4) = -x / (x^2+4) = -f(x)
so it is not symmetric to y-axis
symmetry with respect to x-axis for x=g(y) means g(-y)=g(y)
in this case, y = x / (x^2+4)
y*(x^2+4) = x
y*x^2 + 4y - x = 0
substitute -y into g(y)
(-y)*x^2 +4(-y) - x = 0
-y*x^2 - 4y - x = 0
y*x^2 + 4y + x = 0
so g(-y) is not equal to g(y)
so it is not symmetric to x-axis
Answer: 
3026
30
Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:
Assuming x represents the random male selected and y represents the random female selected:
3026
The average sum of their scores is 3026.
Average difference is the difference between the expected value (mean) of each gender:
1528 - 1498
30
The average difference of their scores is 30.
Answer:
6
Step-by-step explanation:
3 + 3 = 6
