Teresa counted 2 leaves on May 1st and 9 leaves on September 1st.
The difference in the number of leaves is:
9 - 2 = 7
Hence, the number of leaves has increased by 7 units.
Step-by-step explanation:
ratio means over so,
<u>1</u><u>0</u><u>0</u><u> </u>= <u>n</u>
500 5
<u>5</u><u>0</u><u>0</u>n = 500
500
n=1
Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
