The function
f(x) is even
g(x) is neither even nor odd
h(x) is odd
Steps:
for an even function it holds that f(-x) = f(x):
f(-x) = (-1)^6 x^6 - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even
for an odd h(x) it holds that h(-x) = -h(x):
It is easy to show that g(x) does not match any of the two possibilities above.
Answer:
65% of the original amount.
Explanation:
Let's say that the original amount is 100%; therefore, if we subtract 35% from the original amount we have
Hence, if the amount of fruit decreased by 35%, then we have 65% of the original amount left.
Answer:
The number of children are 4 out of which 3 are girls
Step-by-step explanation:
Data provided in the question:
P(Two randomly selected children are girls) =
now,
let the number of children be 'n'
the number of girls be 'x'
thus,
P(Two randomly selected children are girls) = =
also,
=
thus,
=
or
=
or
2x(x-1) = n(n-1)
now
for x = 3 and n = 4
i.e
2(3)(3-1) = 4(4-1)
12 = 12
hence, the relation is justified
therefore,
The number of children are 4 out of which 3 are girls