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a)

b) 14650

Step-by-step explanation:

First let's find out how much the population increased during those 4 years.

In 1992 it was 1000.

In 1996 it was 4900.

. During 4 years, the population increased by 3900.

Therefore during 1 year, the population increased by

Since it's linear, we can write it using the general equation for a straight line, which is .

We've already found m, which is the slope of the line (975).

The question asks us to write it in the form: . where P is the population and t is the time in years since 1990.

We can sub some values into this formula to work out the constant, c.

Let's put in the values for 1992. Population is 1000 and the time in years after 1990 is 2 (since 1992 - 1990 = 2)..

Therefore:

Re-arrange to get:

Therefore, we have our formula now.

Now for the second part of the question, population of moose in 2006. We need to work out how many years apart 1990 and 2006 are which we can calculate by doing .

Now let's put this into our formula.

15 units use socratic

step-by-step explanation: 15 units

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.