Answer:
"all real numbers"
Step-by-step explanation:
This is an exponential function. The domain of the basic exponential function 3^x is "all real numbers." This domain also applies to f(x) = 3^x - 2.
Given:
A line passes through the points (2,-1) and (1,-5).
To find:
The equation of the line.
Solution:
If a line passes through the two points, then the equation of the line is

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is




Using distributive property, we get


Subtract 1 from both sides.


Therefore, the correct option is B.
Answer:
13.9%
Step-by-step explanation:
The value of car is modeled as:

Here we can see that, each year Nathan has considered 0.861 of the previous year value or we can say that Nathan has considered 86.1% of the previous year value. So,

We subtract the percentage value considered from 100 to find out the percentage decrease in the value of the car.
The value of new car is decreasing by 13.9% each year.
Answer:
2
Step-by-step explanation:
16/8 = 2
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hope this helped
Remark
This question likely should be done before the other one. What you are trying to do is give C a value. So you need to remember that C is always part of an indefinite integral.
y =

y = sin(x) - cos(x) + C
y(π) = sin(π) - cos(π) + C = 0
y(π) = 0 -(-1) + C = 0
y(π) = 1 + C = 0
C = - 1
y = sin(x) - cos(x) - 1 <<<<< AnswerProblem Two
Remember that

y( - e^3 ) = ln(|x|) + C = 0
y(-e^3) = ln(|-e^3|) + C = 0
y(-e^3) = 3 + C = 0
3 + C = 0
C = - 3
y = ln(|x|) - 3 <<<< Answer