Answer: City A is 34,281 feet higher that City B.
Step-by-step explanation:
You know that:
- City A has an elevation of 15,723 feet above sea level.
- City B has an elevation of 18,558 feet below sea level.
The sea level is: 0 feet. Therefore, to calculate how much higher is City A than City B you must add both quantities, because from the City B to the sea level there are 18,558 feet and from the sea level to the City A there are 15,723 feet.
Then:
15,723 feet+18,558 feet=34,281 feet
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.
Answer:
Fourth root of 256 is ±4.
hope this helps
The <em><u>correct answer</u></em> is:
B) an exponential function with a growth factor of 2
Explanation:
An exponential function is one of the form f(x) = aˣ, where a is some constant. Exponential graphs are smooth curves.
This graph is a smooth curve. Looking at the points plotted, we have:
(0, 1); (1, 2); (2, 4); (3, 8)
The growth factor is the number we multiply each value by to find the next one. From 1 to 2, we would multiply by 2; from 2 to 4, multiply by 2; from 4 to 8, multiply by 2. This makes the growth factor 2.