Answer:
5836200
Step-by-step explanation:
Answer:
y = 1/2x + 2
Step-by-step explanation:
slope:
6 - 3 / 8 - 2 = 3 / 6 = 1/2
start by putting it in point slope form and then simplify it to slope intercept form:
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x + 2
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
There are 26 letters. There are 10 digits. Different combos possible are 26 * 26 * 10 * 10
Basically 67,600 different passwords can be formed. Rate and Thank if helped! :)
