Thirty two and one hundred six thousandths.
Answer: A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Step-by-step explanation:
By keenly investigating the given above, it is observed that the given is a geometric sequence with first term (a1) equals 1 and common ratio (r) is 1.5. The geometric series can be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where n is 15.
Substituting the known values,
<span>Sn = 1 x (1 - 1.5^15) / (1 - 1.5) = 873.78778
</span>
Therefore, S15 is approximately equal to 873.79.
Answer:
The interval of decrease is 0 ≤ x ≤ 1.25
Step-by-step explanation:
First, we have to find the point where it changes from increasing to decreasing or decreasing to increasing.
The graph shows that there is a decrease before 1.25 h, and it increases after 1.25 h also.
We can further prove that 1.25 is the point of change when we enter 1.25 in place of t in the given equation
d(1.25) = 40|1.25 - 1.25| = 0
We see that the graph is decreasing before 1.25, so the interval will have to end at 1.25.
We also see that there is no increase before 1.25, so we can make the interval begin at 0