Answer:
36 patients reported no pain.
Considering f(x)= y. You find what y value correlates with the x value so f(0)=4 brong that the line with y=4 the x is 0. f(-2)= 2 as the line where x=-2 has y=2
Answer:
Step-by-step explanation:
5)
DG= 60 (whole)
DO= 4x-3 (Part)
OG= 2x+ 21 (Part)
4x-3+ 2x+21= 60
6x+18=60
6x=42
x=7
Using this we can solve for DO and DG
DO= 4*7-3
DO= 25
DG= 2*7+21
DG= 14+ 21= 35
6)
TB is whole
TU is part
UB is part
5x= 4x-1+2x-1
5x=6x-2
x=2
UB= 2*2-1= 4-1= 3
TU= 4*2-1= 8-1= 7
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").
Answer:
Exact probability = 1/7
(Approximate probability = 0.142857)
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Explanation:
There are three 5 dollar bills out of 7 total. The probability of selecting a five dollar bill is 3/7. Let A = 3/7 since we'll use it later.
After the first selection is made, we have 3-1 = 2 five dollar bills left out of 7-1 = 6 bills overall. This is assuming we do not put the first selection back, or replace it with another five dollar bill.
The probability of selecting another five dollar bill is 2/6 = 1/3. Let B = 1/3.
Multiply the values of A and B to get
A*B = (3/7)*(1/3) = (3*1)/(7*3)= 1/7
Note the 3's divide and cancel out.
Using a calculator, 1/7 = 0.142857 approximately
