Answer:
Initial 18 degrees Celsius
After 20 minutes, 5 degrees Celsius
Step-by-step explanation:
It’s initial temperature can be calculated as at the time when x = 0
When x = 0, the temperature is -6+24 = 18 degrees Celsius
This is because the exponent part equals 1 since anything raised in to the power of zero is one.
After twenty minutes,
T(x) = -6 +24e^-0.038(20)
T(x) = -6 + 11.224 = 5.224
And that is approximately 5 degrees Celsius to the nearest degree
4 < = x + 4 < = 8
4 - 4 < = x + 4 - 4 < = 8 - 4
0 < = x < = 4.......this matches ur graph
so ur expression is : x + 4
Answer:
-600
Step-by-step explanation:
The rate of change of a function f(x) in a certain interval
is the ratio between the change of the function and the change in the value of x:

The rate of change of a function tells how much the value of the function is changing per change in unit of x: therefore, for a linear function it corresponds to the slope of the line.
In this problem, the function f(x) is equal to the value of the business machine in dollars, while the variable x represents the number of years.
Here we are told that the machine was purchased for

while its value decreases by $600 each year, so

This means that the linear function that represents the value of the machine after x years is:

Therefore, the rate of change of the function is -600.