Answer:
B. 10 1/2 feet
Step-by-step explanation:
We are told that she taped 7 boxes.
We are also told that she uses 1 1/2 feet of tape to close each box.
Therefore, the length of tape she will need to use for the 7 boxes will be the product of 7 boxes and 1 1/2 feet of tape per box:
L = 1 1/2 * 7 = 3/2 * 7 = 21/2 = 10 1/2 feet.
She will need to use 10 1/2 feet of tape.
Answer:
Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of
Step-by-step explanation:
Function A:
Function B:
Required
Which has a greater rate of change
The rate of change of function A is calculated as thus:
Where:
So, we have:
For function B
The general function is:
Where
m is the rate of change
By comparing to
So, we have that:
Function A has a rate of -5; function B has a rate of -4.5.
By comparison: -4.5 is greater than 5
Hence, function B has a greater rate.
If it reaches its maximum height a t=3 its velocity must be zero at t=3
dy/dx=0 at t=3
dA/dx=4x+12=24 at t=3 so this does not apply
dB/dx=-4x+12=0 at t=3 and B=13 at t=3 so B applies
dC/dx=-4x-12=-24 at t=3 so this does not apply
dD/dx=-4x-12=-24 at t=3 so this does not apply
dE/dx=-4x-12=-24 at t=3 so this does not apply
So only quadratic B: reaches a maximum height of 13 feet at 3 seconds.
