Answer:

Step-by-step explanation:
Let
and 
<u>Determine slope</u>
<u />
<u>Use either ordered pair to find the y-intercept</u>
<u />
<u>Final equation</u>
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The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
<h3>What are logarithms?</h3>
As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
<h3>How to rewrite the number as a logarithm?</h3>
The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
Read more about logarithm at:
brainly.com/question/20785664
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Answer:
The average rate of change from 1990 to 1991 is 
The average rate of change from 2000 to 2001 is 
Step-by-step explanation:
The average rate of change of function f(x) over the interval
is given by

It is a measure of how much the function changed per unit, on average, over that interval.
From the information given:
- The function that models the population t years after 1990 is

- The year 1990 is t = 0 and the year 2000 is t = 10.
1. The average rate of change from 1990 to 1991 is:
The interval is 

2. The average rate of change from 2000 to 2001 is
The interval is 

Answer:
m<-2
Step-by-step explanation:
-4m-3.65>4.35
-4m>4.35+3.65
-4m>8
4m<-8 (the greater than or less than sign flips when you multiply or divide by the - sign)
m<-2 (divide both sides by 4)