
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,

Answer:
Step-by-step explanation:
we need to divide
153/40=3.825
the ride needs to run 4 times
Answer:
y = x^2+2x+1
Step-by-step explanation:
x^2+2x+1
= (x+1)^2
Answer:
2
Step-by-step explanation:
1+1=2 so the answer is 2
3 hours is longer than 175 minutes. An hour is 60 minutes long, so just multiply that by 3 and compare your answer to 175.
60 x 3 = 180
180 > 175
Therefore, 3 hours is longer than 175 minutes.
Hope this helps!