Answer:
(1, -2)
Step-by-step explanation:
midpoint x = (x₁ + x₂) / 2
midpoint y = (y₁ + y₂) / 2

= (1, -2)
Answer:
1.4
Step-by-step explanation:
The average rate of change is the "rise" divided by the "run".
rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)
rise/run = 7/5 = 1.4
The average rate of change on the interval [-1. 4] is 1.4.
Answer:
Questions 13-15 will all be related to the same situation.
A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
Which equation accurately represents this situation?
Step-by-step explanation:
Answer:
32 hours.
Step-by-step explanation:
Let x represent the time taken by Russell and Aaron to build the shed.
We have been given that Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel.
Russell's work rate would be
.
Since Aaron works three times as fast as Russel, so Aaron's work rate would be
.
Part of work done by in one hour would be
.
We can represent our given information in an equation as:

Let us solve for x.




Therefore, it will take Russell 32 hours to build the shed working alone.
Answer:
for 
Step-by-step explanation:
Given
-- First Term
--- half common difference
Required
Find the recursive rule
First, we calculate the common difference

Multiply through by 2


The second term of the sequence is:

The third term is:

So, we have:


Substitute f(1) for 3

Express 1 as 2 - 1

Substitute n for 2

Similarly:

Substitute f(2) for 11

Express 2 as 3 - 1

Substitute n for 3

Hence, the recursive is:
for 