Answer: admission cost is 21 dollars
Step-by-step explanation:
Answer: Choice C
Vertex = (5, -2)
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Explanation:
Vertex form is 
where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have 
which is the same as 
and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)
Answer: D
Step-by-step explanation:
The given functions are
Now these are exponential curves and the bases for the functions are 3.5 & 1.5
Also the graph of g(x) is between f(x) & h(x)
Hence the value of base called the scale factor must be between 3.5 & 1.5.
4 & 5 are more than 3.5
0.9 is smaller than 1.5
But π = 3.14 lies between 3.5 & 1.5.
Hence the only option which can represent the graph of g(x) is
Option D) is the right answer
Absolute value of function = - 9 / 3 .
The absolute value or modulus of a real number x, denoted by |x|, is the non-negative value of x without regard to its sign. Namely, |x|=x if x is a positive number, and |x|=-x if x is negative (in which case negating x makes -x positive) , and |0|=0.
For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.
x ≥ 1.52 / 3 x - 1 = 2 / 3 x + 4⇒ -1 = 4 which is not possible .Now for all x ≤ 1.5- 2 /3 x + 1 = 2 / 3 x + 4⇒ 4 / 3 x = -3 x = - 9 /4 Hence absolute value = - 9 / 3 .
To learn more on absolute value follow link :
brainly.com/question/13041863
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