Answer:
OR
Step-by-step explanation:
Vertex form of a parabola is given as:
Where (
) is the vertex and 
are the points on the parabola.
We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).
First of all, putting the vertex in the vertex equation as given above:
Now, putting the values of 
as 2, 3 and let us find the unknown variable 
:
Therefore, the equation in vertex form can be written as:
OR
The common difference is x
the first term is x+1
a_8 = x+1 + x(8-1) = x+1 + 7x = 8x + 1
Answer:
Step-by-step explanation:
The law of indices can be used to simplify mathematical expressions involving arithmetical operation on variables with powers.
x 
= 
Thus, the given expression can be simplified as follows:
a³b² a²b = a³ x a² x b² x 
= 
x 
=
Thus,
a³b² a²b =
The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.
<h3>How to calculate the domain of the function?</h3>
In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:
0= -4.87t² + 18.75t.
4.87t(-t + 3.85) = 0
t = 0 or t = 3.85.
Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).
<h3>How to calculate the range of the function?</h3>
h(t) = -4.87t² + 18.75t
h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)
h(t) = -4.87(t - 1.925)² + 18.05
Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).
Read more on domain here: brainly.com/question/17003159
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