Answer:
B. The function is nonlinear.
Step-by-step explanation:
A linear function graphs as a straight line. It is a polynomial function of degree 1. Any function that is not a linear function is a nonlinear function.
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<h3>degree</h3>
The function given is a polynomial function of degree 2. (Its highest-degree term is x^2, which has an exponent of 2.)
<h3>categorization</h3>
Since the degree is not 1, the function is nonlinear.
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<em>Additional comment</em>
A polynomial function will never be "linear at some points and nonlinear at other points." Such a description might apply to a piecewise-defined function.
Answer:
$1.23
Step-by-step explanation:
First start off by multiplying $0.62 by 4 to find out the total she paid for all four pounds of beans. This would give you $2.48 spent on beans. Subtract $2.48 from the total amount spent ($8.63). You now have $6.15 left on what she could have spent on 5 pounds of potatoes. Do $6.15 divided by 5 to get an answer of $1.23. Hannah paid $1.23 per pound for the potatoes.
First, let's find the time where the ship arrives to point C
t=d/V, t= 45/30=1.5h
if the ship's departure time is at 1.5h, on the point C, let 's find its arrival to the point O, V=D/Dt, Dt=tfinal-tinitial
Dt=D/V= 20/30=0.6h=t final -t initial, implies t final=0.6+t initial=0.6+1.5=2.1h
so the ship will be on the radar at 2.1h,
Answer: The probability that exactly 2 insects will survive = 0.2501
Step-by-step explanation:
Given: A certain insecticide kills 80% of all insects in laboratory experiments.
The probability that a particular insect survives= 1-0.80=0.20
Sample size: n=14
Binomial probability distribution:
, where x= number of successes , p=probability of success in each trial, n= sample size.
The probability that exactly 2 insects will survive = 
Hence, the probability that exactly 2 insects will survive = 0.2501
