Answer:
7
Step-by-step explanation:
5p - 1 = 2p + 20
5p = 2p + 20 + 1
5p = 2p + 21
5p - 2p = 21
3p = 21
p = 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").
surface area is the area of all the faces on a shape so to speak.
2(120 x 110)=26,400
2(120 x 4)=960
2(110 x 4)=880
880+960+26,400=28,240
Surface area = 28,240
The fraction for 469 is 469/1.
Answer:
7 2/3 more pounds of deli meat
Step-by-step explanation:
Brandon needs 12 pounds of deli meat to make a sandwich tray.
He brought 4 1/3 pounds of ham.
The amount of deli meat that he still needs is calculated as:
12 pounds - 4 1/3 pounds.
= 7 2/3 pounds
