For this case, the first thing we must do is define variables.
We have then:
x: Maggie's age
y: Age of Maggie's brother
We write the system of equations that models the problem.
We have then:
We solve the system of equations.
For this, we use substitution:
From here, we clear the value of x:
Answer:
Maggie is 9 years old
The average cost represents the slope of the line of the graph.
Increasing the slope of the graph increases the steepness of the line.
Therefore,
increasing the average cost of gas from $1.50 to $2.20 will increases
the steepness of the line. (i.e. the line becomes closer to the vertical
line).
Answer:
the common difference is 5.4 and yes, this is an arithmetic sequence
Step-by-step explanation:
Each new term is derived by adding 5.4 to the previous term:
2.1 + 5.4 = 7.5,
7.5 + 5.4 = 12.9,
and so on,
so the common difference is 5.4 and yes, this is an arithmetic sequence.
Answer:
Perpendicular
Step-by-step explanation: