We have been given that on a coordinate plane a line with negative slope passes through points and
. We are asked to find the rate of the change of the function.
We know that slope represents rate of change of function.
We will use slope formula to solve our given problem.
Let and
.
Therefore, the rate of change of the given function is .
We are given total 10 tree seedlings.
Number of workshops = 2.
Here order doesn't matters.
<em>When order doesn't matters we apply combination.</em>
We know formula of combination:
For the given situation, we have
n=10 and r=2.
Plugging values in formula, we get
This is a way to factoring trinomials (there exist different equivalent methods).
Multiply the trinomial but the term accompanying . This is the second line. Then, you could take the square of the
, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want
In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have
The last step is divide by the number that we multipy in the first step.