Given the functions
(a) f(x) = x³ + 5x² + x
(b) f(x) = x² + x
(c) f(x) = -x
Function (a)
f(-x) = (-x)³ + 5(-x)² + (-x)
= -x³ + 5x² - x
= -(x³ - 5x² + x)
The function is neither even nor odd.
Function (b)
f(-x) = (-x)² + (-x)
= -(-x² + x)
The function is neither even nor odd.
Function (c)
f(-x) = -(-x)
= x
= -f(x)
Because f(-x) = -f(x) the function is odd.
Answer: f(x) = -x is an odd function.
Answer:
There are 48 marbles in the bag
Step-by-step explanation:
red: blue : total
3 8
there are 18 red
18/3 = 6
Multiply everything by 6
3*6 8*6
18 48
There are 48 marbles in the bag
Answer:
21
Step-by-step explanation:
The mean is 102 and the standard deviation is 2.
The sample mean is equal to the population mean; the sample standard deviation is equal to
σ/√n = 10/(√25) = 2
Answer:
The proportion would be 0.1
Step-by-step explanation:
Given, the function that shows the proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes,
If t = 7 minutes,
Hence, the proportion that remembered the number for 7 minutes is 0.1 ( approx )
