<span>The answer would be: an = 10( one half )n − 1; average rate of change is </span><span>negative fifteen halves.
</span><span>This question is about exponent function/series. You are given 3 points from the function, point A (1,10), point B( 2, 5) and point C(4,1.25).
If you insert point A to the function, </span><span>an = 10( one half )^n − 1 </span>will give a result of 10 for n=1.
For n=0, the result would be:
an = 10( one half )^n − 1
an= 10(1/2)^0-1
an= 10(1/2)^-1= 10* 2= 20
Then the average rate of change from n=0 to n=2 would be:
Rate of change= (y2-y1)/ (x2-x1)
Rate of change= (5-20)/ (2-0)= -15/2= <span>negative fifteen halves</span>
I assume this an algebraic expression..sooo the variable L will represent the number of books in the library, and five times the number of books in the library would be 5L
this is a function and h(x) is like a y in the equation (a variable)
when they say find h(-8) in h(x), you sub -8 into the x in the function
so h(-8) = 3-1/4(-8) = 3-(-2) = 5
