Your graph is correct.
You start with point (0, 40). On day 0, you have 40 T-shirts.
Each day that passes, you have 5 shirts fewer. (1, 35) means on day 1, you have 35 shirts left. Each day that passes, there are 5 fewer shirts. On the 8th day, there are no shirts left. That is point (8, 0).
Good job!
Answer:
You can get it by doing this
Step-by-step explanation:
The Probability

Substitute this into the parabolic equation,

We're told the line
intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

We can tell from the quadratic equation that
has its vertex at the point (3, 6). Also, note that

and

so the furthest to the right that
extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So
; in set notation,

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