Answer:
.
Step-by-step explanation:
We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation
, where c is number of copies still on hand and t days being available.
We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:



Now, we will use point-slope form of equation
and substitute
and coordinates of point (9,50) as:




Therefore, our required equation would be
.
41-19 is 22 so he has 22 nickels. The amount of dimes is put in there to distract you. Just ignore those! :)
Answer:
An explicit representation for the nth term of the sequence:

It means, option (B) should be true.
Step-by-step explanation:
Given the geometric sequence

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

Determining the common ratios of all the adjacent terms

As the ratio is the same, so
r = 4
Given that f₁ = -1/2
substituting r = 4, and f₁ = -1/2 in the nth term


Thus, an explicit representation for the nth term of the sequence:

It means, option (B) should be true.
Answer:
x = 33
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
x+114+33 = 180
Combine like terms
x+147 = 180
Subtract 147 from each side
x+147-157 = 180-147
x = 33