1. irrational: √48 = 6.92820323028
2. rational: √9 = 3
3. irrational: √39 = 6.2449979984
4. rational: √289 = 14
We have to find the values of F.
In this case. F is unlikely to be a polynomial.
But the problem is, we can’t calculate the values of F directly.
There is no real value of x for which x = x−1 x because F isn’t defined at 0 or 1. so,
substituting x = 2.
F(2) + F(1/2) = 3.
Substitute, x = 1/2
F(1/2) + F(−1) = −1/2.
We still are not getting the required value,
therefore,
Substitute x = −1
As, F(2) +F(−1) = 0.
now we have three equations in three unknowns, which we can solve.
It turns out that:
F(2) = 3/4
F(3) = 17/12
F(4) = 47/24
and
F(5) = 99/40
Setting
g(x) = 1 − 1/x
and using
2 → 1/2
to denote
g(2) = 1/2
we see that :
x → 1 - 1/x → 1/(1-x) →xso that:
g(g(g(x))) = x.
Therefore, whatever x 6= 0, 1 we start with, we will always get three equations in the three “unknowns” F(x), F(g(x)) and F(g(g(x))).
Now solve these equations to get a formula for F(x)
As,
h(x) = (1+x)/(1−x)which satisfies
h(h(h(h(x)))) = xNow, mapping x to h(x) corresponds to rotating the circle by ninety degrees.
12 fluid ounces of sweat an hour
Answer:
Lucy is 5(m+3)=65
Soling is 5m-3=65
Kyan is 5m+3=65
Daniel is 5(m-3)=65
Step-by-step explanation:
Answer:
The z statistic is 0.23.
Step-by-step explanation:
Test statistic (z) = (sample mean - population mean) ÷ sd/√n
sample mean = 104 mg
population mean (mu) = 100 mg
sd = 55 mg
n = 10
z = (104 - 100) ÷ 55/√10 = 4 ÷ 17.393 = 0.23