Step-by-step explanation:
If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.
and if it has no solutions (lines are parallel), then it is inconsistent.
I think that information can be easily found on the internet.
so, the first one on the left is consistent independent. it has a unique solution at (-2, 1). the solution is always the crossing point of the lines.
the middle system is consistent dependent. both lines are identical, and so we have infinite many "crossing points" or solutions.
the right system is inconsistent, as 2 parallel lines have no solution at all.
Answer:
<em>paying off your entire credit card bill each month</em>
Answer:
3
Step-by-step explanation:
The common ratio here is 3. Note that 4 is the first term of this sequence, and that n is the index: first term, second term, etc.
Every term is found by mult. the previous term by 3.
Answer:
The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Step-by-step explanation:
Let x be the hotel charge without tax in first city
We are given that The hotel charge before tax in the second city was $1500 lower than in the first.
So, Hotel charge without tax in second city =x-1500
Tax% in first city = 10%
So, tax in first city = 0.1x
Tax% in second city =5%
So, tax in second city = 0.05(x-1500)
We are given that The total hotel tax paid for the two cities was $600.
So,0.1x+0.05(x-1500)=600
0.1x+0.05x+75=600
0.15x=600-75
x=3500
Hotel charge without tax in first city = $3500
The hotel charge before tax in the second city =x-1500=3500-1500=2000
Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
It is 56 because of how it is expressed