Answer:
Graph 1: Consistent Dependent
Graph 2: Consistent Independent
Graph 3: Consistent Dependent
Graph 4: Inconsistent
Step-by-step explanation:
Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.
If they are the system that has one solution they are considered independent.
If they are the system that has infinitely many solutions then are considered dependent.
Inconsistent means they won't intersect at all.
First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.
Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.
Third graph shows the same description of graph one and is therefore a consistent dependent system.
The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.
Answer:
No solution
Step-by-step explanation:
You didn't include enough information
<h3>
Answer: Choice A</h3>
0.10d + 0.05n = 2.25
d = 2n
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Explanation:
n = number of nickels
d = number of dimes
we have twice as many dimes as nickels, so we could have something like 18 dimes and 9 nickels. Algebraically we would write d = 18 and n = 9. The equation that fits this is d = 2n. The answer is between A and B at this point.
We rule out choice B since the 0.05d is incorrect. It should be 0.10d to represent the total value of all the dimes.
Choice A is correct
d = number of dimes
0.10d = value of all the dimes in dollars
n = number of nickels
0.05n = value of all the nickels in dollars
0.10d + 0.05n = total value from both coins combined
2.25 = total value from both coins combined
0.10d + 0.05n = 2.25
