The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically.
Complete a table of values for each line.
The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes
and 8 nickels.
hope it helps :) feel free to ask anymore questions
Answer:
Step-by-step explanation:
The first equation
6x^2 -18x-24=0
-the graph opens up
6(x^2 -3x -4)=0
6(x^2 -3x +9/4-4-9/4)=0
6(x-3/2)-25x6/4=
6(x-3/2)-75/2
-Vertex is at (3/2, -75/2)
-Axis of symmetry is x=3/2
Second equation
3r^2 -16r -12=0
-the graph opens up
...
