How would the numbers 6870000 appear in scientific notation on a calculator screen
1 answer:
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Answer:
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute:
The results of the inequality is: and
Rewrite as: and
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
, since no options are given
The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40
<h3>Write a piecewise function describing the cost C of the reunion.</h3>The given parameters are:
Reserve = $500
Cost per guest = $17.50 for the first 40 guests
Cost per guest = $14.75 for each additional guest
The above means that
C(x) = 500 + 17.5x, where x <= 40
C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40
Next, we evaluate the functions
This gives
C(x) = 500 + 17.5x, where x <= 40
C(x) = 1200 + 14.75(x - 40), where x > 40
<h3>Use a graphing calculator to graph the function</h3>To do this, we simply plot each function with its domain
See attachment for the graph of the piecewise functions
Read more about piecewise functions at
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