Answer:
a) 3rd degree
b) negative
c) 2
d) zero
e) the graph approaches +∞, -∞
Step-by-step explanation:
a) because two turns
b) because the function does not approach y=+∞ as x approaches x=+∞
c) the graph switches direction twice
d) from observation
e) it appears so, and is the nature of polynomials
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Answer:
C. It means to input a -2 into the function to find the output.
Step-by-step explanation:
f(x) means to the function of x. The question is asking you to input -2 for x and find the answer.
Probability that carbon essissions beyond permissible level and test predicts did it
Answer: The tip left for the servers was $14.80
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Total cost of the food (before tax) = $82.25
</em>
- <em>Tip = 18% of the amount before the tax
</em>
So, to calculate the tip we have to multiply the cost of the food before tax ($82.25) by the 0.18 (percentage in decimal form, 18/100= 0.18).
Mathematically speaking:
82.25 x 0.18 = $14.80
The tip left for the servers was $14.80
