Answer:
See below.
Step-by-step explanation:
An example will illustrate the method:
(2/3)^3
= 2^3 / 3^3
= 8/27.
Answer:
13.5
Step-by-step explanation:
Average rate of change=(f(2)-f(1))/1=-18/2^2-(-18))=13.5
<h3>
Explanation:</h3>
For a system of 2 equations in 2 unknowns, there are 3 cases:
- slopes are different — one solution
- slopes are the same and y-intercepts are different — no solutions
- slopes and y-intercepts are the same — infinitely many solutions
When slopes are different, the two lines intersect at <em>one</em> point, the <em>solution</em>.
When slopes are the same, the lines may be either parallel (different y-intercepts) or the same (same y-intercepts). If the lines are parallel, there are no points of intersection, hence <em>no solutions</em>. If the lines are the same line, they intersect at all points, so there are <em>infinitely many solutions</em>.
