Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change =
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change =
Rate of change =
Rate of change = -1
Answer:
Option A is correct
and
Step-by-step explanation:
Given the functions:
then;
combine them to create an arithmetic sequence i.e,
⇒ where n is the number of terms
To find the 31st term.
Substitute n =31 we have;
⇒
Therefore, we have an arithmetic sequence,
and
Answer:
Yes! See explanation below!
Step-by-step explanation:
If a positive and negative number is equivalent, then they are called additive opposites meaning they add up to 0, basically cancelling out.
Ex: