Answer:
.
Step-by-step explanation:
Let , , and be constants, and let . The equation represents a parabola in a plane with vertex at .
For example, for , , , and .
A parabola is entirely above the -axis only if this parabola opens upwards, with the vertex above the -axis.
The parabola opens upwards if and only if the leading coefficient is positive: .
For the vertex to be above the -axis, the -coordinate of that point, , must be strictly positive. Thus, .
Among the choices:
- does not meet the requirements. Since , this parabola would open downwards, not upwards as required.
- does not meet the requirements. Since and is negative, the vertex of this parabola would be below the -axis.
- meet both requirements: and .
- (for which ) would touch the -axis at its vertex.
0.3 is <span>ten times as much as 0.03</span>
Answer:
The solution to the system of equations is (0,2)
Step-by-step explanation:
Answer:
C. 210 miles.
Step-by-step explanation:
If Car 1 left 30 minutes earlier
than Car 2 therefore Car 2 traveled 3 hours
compared to Car 1's 3.5 hours
Car 1 traveled 3.5 x 42 mph = 147 miles
Car 2 travelled 3 x 50 mph = 150 miles
The distance between them would be
√147^2 + 150^2
= 210