Write the sum of the numbers as the product of their GCF and another sum 64+28 PLEASE ANSWER QUICKLY
2 answers:
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Answer:
b) 690 - 7.5*t
c) 0 < t < 92s time (t) is independent quantity
d) 0 < s < 690ft distance from bus stop (s) is dependent quantity
e) f(0) = 690 ft away from bus stop , f(60.25) = 238.125 ft away from bus stop
Step-by-step explanation:
Part a - see diagram
part b
initial distance from bus stop s0 = 690 ft
distance covered = 7.5*t
s = s0 - distance covered
s = 690 - 7.5*t = f(t)
part c
s = 0 or s = 690
0 = 690 -7.5*t
t = 92 s
Hence domain : 0 < t < 92s time (t) is independent quantity
part d
s = 0 or s = 690
Hence range : 0 < s < 690ft distance from bus stop (s) is dependent quantity because it depends on time (t)
part e
f(0) is s @t = 0
f(0) = 690 ft away from bus stop
f(60.25) is s @t = 60.25
f(60.25) = 690 - 7.5*60.25 = 238.125 ft away from bus stop.
a) x-intercepts (where it passes through the x-axis) are: 0.05, 0.745, 0.8, 1.45, 1.55, 2.2
The x-intercepts represent when height = 0 and y-intercepts represent when time = 0
b) The graph is positive when height is positive: [0.05, 0.745] U [0.8, 1.45] U [1.55, 2.2]
c) The graph is negative when height is negative: [0, 0.05] U [0.745, 0.8] U [1.45, 1.55] U [2.2, ∞)
d) The average rate of change is the slope (rise/run) between the coordinates when x = 0.75 <em>(y = -5)</em> and when x = 1.125 <em> (y = 1.7). </em>
slope = =
= 6