I'll do #6.
The axis of symmetry is the x-coordinate of the vertex, which in this case, is (0,-4). So the axis of symmetry is x=0.
The vertex is in the above answer. Since this is a quadratic function, there are no boundaries, the domain is All Real Numbers.
The range goes up forever <em>from </em><em>the vertex. </em>The vertex is (0,-4), so, the minimum y value is -4. The range is y is greater than or equal to -4, or in interval notation: [-4,infinity]
Hope this helps!
Answer:8498
Step-by-step explanation:
(7*1000)+(7*200)+(7*10)+(7*4)
7000+1400+70+28
8498
The car's average rate is 43.7 mph. The bicycle's average rate is 12.3 mph.
To get this solution, let the bicycle's average rate be (x) and the car's average rate be (x + 31.4) mph.
Distance= Speed x Time
364 = (x + x + 31.4) 6.5
364 = (2x + 31.4) 6.5
364/6.5 = 2x + 31.4
56 = 2x + 31.4
56 - 31.4 = 2x
24.6 = 2x
24.6/2 = x
12.3 = x
x = 12.3 mph
x+31.4 = 43.7 mph