Answer:
a) 
b) 
Step-by-step explanation:
Assuming the complete question : "A town has a population of 1000 people at time t = 0. In each of the following cases, write a formula for the population, P, of the town as a function of year t. (a) The population increases by 50 people a year. (b) The population increases by 5% a year."
Part a
For this case we can use a linear model in order to estimate the population size since we have a fixed increase each year. So our model would be given by:
Where 
on this case since represent the increase per year of the slope for the linear model. And the initial amount is 
, so then the model is:
Part b
For this case we have a rate of increase and when we have this the lineal model is not the most appropiate. So then we can use an exponential model given by:
Where represent the initial population and for this case b is the rate of increase 
since each year we have an increase of 5% and t is the time. So then the model is given by:
Answer:
e
Step-by-step explanation:
the graph should look something like this
Answer:
he zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
Step-by-step explanation:
Answer:
<h2>-x²+4x +6</h2>
Step-by-step explanation:
Given f(x)=4x+1 and g(x)=x²-5
(f-g)(x) is derived by taking the difference of both functions
(f-g)(x) = f(x)-g(x)
(f-g)(x) = 4x+1 - (x²-5)
(f-g)(x) = 4x+1-x²+5
(f-g)(x) = -x²+4x +6
This gives the requires expression
