ANSWER
(1,4)
(-∞,-3)
EXPLANATION
The interval where a portion of the graph is below the x-axis is where the graph is negative.
From the graph , the curve is below the x-axis on the interval (-∞,-3). Hence the graph is negative on this interval.
Also the graph is below the x-axis on the interval (1,4). This is also another interval where the graph is negative.
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Answer:
15/8
Step-by-step explanation:
Tangent's definition is opposite over adjacent, which in this case, the opposite side is 15 and the adjacent side is 8
Answer:
B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.
Step-by-step explanation:
Rate at which people enter:
e(x)=0.03x^3 + 2
Rate at which people leave:
L(x)=0.5x + 1
Rate at which the number of people in the park is changing:
(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1
4 hours after the gates open, the rate is:
(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour
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