y = 55/10x + 50 is the equation to represent this situation
The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
<h3>What is the condition for a solution?</h3>
If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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Answer:
All are correct.
Step-by-step explanation:
Let x be the number of movies and y be the number of newly released video games.
Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

Larry must purchase at least nine items.

Check both inequalities of all given ordered pairs.
For (5,6),


Point (5,6) satisfy both inequalities.
For (10,4),


Point (10,4) satisfy both inequalities.
For (20,0),


Point (20,0) satisfy both inequalities.
For (15,2),


Point (15,2) satisfy both inequalities.
Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.