For

, we have

So for

to be continuous at

, we require that the limit as

is equal to 4.
Answer:

Step-by-step explanation:
so its 36+9 = 45
36/45=4/5
The only non-linear equation from your choices is the area of a circle as it is:
A=πr^2 and if you take the derivative of A you have:
dA/dr=2πr
So the rate of change changes as r changes, it is not constant thus the function has acceleration, so velocity changes.
This is in contrast to any linear equation which is of the form:
y=mx+b now taking the derivative you see that:
dy/dx=m, now m is a constant value, which means that there is no acceleration and the velocity remains constant.
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Rate at which Alina swim = 2.5 miles per hour
Rate at which Talia swim = 1.8 meters per second
First we need to change meters per second into miles per hour
As we have given that

and

So, to change into miles per hours, we'll apply this,

So,
Difference between their rates will be given by

Hence, Talia swims about 1.5 miles per hour faster than Alina.
So, Option 'D' is correct.
Answer:
$8.30
Step-by-step explanation:
$1.95×2= $3.90
$2.20×2= $4.40
$4.40+$3.90= $8.30