Answer:
4x + 1
Step-by-step explanation:
Multiply f + g by x because f + g is in parenthesis:
f(x) + g(x)
Then implement equation #1 for f(x) into our equation:
3x - 1 + g(x)
Then implement the other equation for g(x) into our equation:
3x - 1 + x + 2
Then switch the positions of -1 and +x:
3x + x - 1 + 2
Simmplify:
4x + 1
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Answer:
x=30
Step-by-step explanation:
Answer:
Slope, m = .
Step-by-step explanation:
The slope of the line can be determined by simplifying the given equation to its standard form.
In the standard form, y = mx + c, m represents the slope of the line.
We are given:
Comparing it with the standard equation, we can see that the slope, m = .
Hence, the answer.
Answer:
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Step-by-step explanation:
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.
This means that the consumption after t years is given by the following differential equation:
In which k is the growth rate.
The solution is, applying separation of variables:
In which C(0) is the initial consumption.
The town consumed 4.4 trillion British thermal units (BTUs) initially.
This means that
So
5.5 trillion BTUs annually after 5 years.
This means that . We use this to find k. So
So
After 9 years?
This is C(9). So
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.