Answer:
Step-by-step explanation:
t is the number of hours
12.24+0.11t = 12.74-0.15t
0.11t + 0.15t = 12.74 - 12.24
0.26t = 0.5
t= 0.5/0.26
t= 1.92 hours
approx to 2 hours
A) The signs of the first derivative (g') tell you the graph increases as you go left from x=4 and as you go right from x=-2. Since g(4) < g(-2), one absolute extreme is (4, g(4)) = (4, 1).
The sign of the first derivative changes at x=0, at which point the slope is undefined (the curve is vertical). The curve approaches +∞ at x=0 both from the left and from the right, so the other absolute extreme is (0, +∞).
b) The second derivative (g'') changes sign at x=2, so there is a point of inflection there.
c) There is a vertical asymptote at x=0 and a flat spot at x=2. The curve goes through the points (-2, 5) and (4, 1), is increasing to the left of x=0 and non-increasing to the right of x=0. The curve is concave upward on [-2, 0) and (0, 2) and concave downward on (2, 4]. A possible graph is shown, along with the first and second derivatives.
Answer: 160 miles
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Explanation:
x = number of miles driven, y = cost
First plan: y = 0.08x + 61.98
Second plan: y = 0.13x + 53.98
Equate the two right hand sides of each equation; solve for x
0.13x + 53.98 = 0.08x + 61.98
0.13x - 0.08x = 61.98 - 53.98
0.05x = 8
x = 8/0.05
x = 160
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Extra Info: plugging x = 160 into each equation gives us...
y = 0.08x + 61.98 = 0.08*160+61.98 = 74.78
y = 0.13x + 53.98 = 0.13*160 + 53.98 = 74.78
Therefore, driving 160 miles for each plan yields the same cost $74.78, which helps us confirm we have the right answer.
30 x 2
15x2
5x2
2x2x3x5
2^2x3x5
Answer:
99
Step-by-step explanation:
Since given, < 100.
So,
100 - 1 = 99