Answer: 347.175
Step-by-step explanation: line up the desimal up it will help
Math IIIB Performance Task: Piecewise-Defined Functions
1 answer:
9514 1404 393
Explanation:
a) see the attachment for a graph (red curve)
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b) The piecewise defined function can be ...
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c) The new cost function is ...
The charge is a flat $10 for any period up to 5 hours, then $1 per additional hour after that, prorated for partial hours. There is apparently no upper limit on parking time as there was with the original function. (The graph shown goes beyond 15 hours; the domain of the original C(x) is 0 to 12 hours.) For reference, the new cost structure is shown in blue in the attachment.
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<em>Additional comment</em>
Under the new structure, costs are significantly higher for short-term parking, and lower once the term exceeds 6 hours.
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The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
<h3>Properties of a Parallelogram</h3>- The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
- Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.
Therefore:
ON = LM
Substitute
7x - 5 = 6x + 4
Add like terms
7x - 6x = 5 + 4
x = 9
OL = NM
Substitute
8y + 3 = x + 6
Plug in the value of x
8y + 3 = 9 + 6
8y + 3 = 15
8y = 15 - 3
8y = 12
y = 12/8
y = 1.5
Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
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