Answer:
see the attachment
Step-by-step explanation:
The function can be ...
D(t) = A +Bcos(C(t-p))
where A is the average depth (55+12)/2 = 33.5 cm,
B is the peak deviation from average, 55 -33.5 = 21.5 cm,
C is the horizontal scale factor (2π/T) = (2π/3) for a period (T) of 3 seconds,
and p is the phase offset, given as 1.1 seconds.
The function is ...
D(t) = 33.5 +21.5cos(2π/3·(t -1.1))
Answer:
Step-by-step explanation:
y = x² + 2x - 5
d. D: all real numbers R: (y greater-than-or-equal-to negative 6)
As given by the question
There are given that the profit of $16 milonin 2018 and $24 milion in 2019.
Now,
To find the profit,
Then,
Hence, the correct option is C.
Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
Where a is the leading coefficient.
We are given the following function:
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
Taking out the -1:
Factoring the trinomial and operating:
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)