The quadratic function
1 answer:
Answer:
The maximum revenue that can be generated is $128.13
Step-by-step explanation:
we have
where
R(p) represent the amount of revenue in dollars
p the product price
This is a vertical parabola open downward
The vertex represent a maximum
so
The y-coordinate of the vertex represent the maximum revenue that can be generated
Solve by graphing
using a graphing tool
Graph the quadratic equation
The vertex is the point (6.25,128.125)
see the attached figure
the y-coordinate of the vertex is 128.125
therefore
The maximum revenue that can be generated is $128.13
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Pattern is the rule that guides the formation of a set.
- <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
- <em>The sequence is arithmetic</em>
- <em>There are 32 tiles in the tenth mosaic.</em>
From the given design, the number of tiles used is:
<u />
<u>(a) The first five</u>
Notice that the difference in the number of tiles of successive mosaic is 3.
This means that:
So, the sequence of the first five mosaics is 5, 8, 11, 14, 17
<u>(b) The type of sequence</u>
The sequence is arithmetic
This is so, because the difference in the number of tiles of successive mosaic is 3.
This difference is called the common difference
<u>(c) The number of tiles in the tenth mosaic</u>
The nth term of an arithmetic sequence is:
In this case:
So, we have:
There are 32 tiles in the tenth mosaic.
Read more about arithmetic sequence at: