The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
<h3>How to determine the pricing scheme?</h3>
The points are given as:
- Constant = (0,2) to (2, 2)
- Another = (2,2) to (6,10)
- Another = (6,10) to (7,11)
The constant interval implies that the first two hours cost $2
Next, we calculate the slope/rate of the other points.
This is done using
m = (y2 - y1)/(x2 - x1)
So, we have:
m1 = (10 - 2)/(6 - 2) = 2
m2 = (11 - 10)/(7 - 6) = 1
This means that:
- The next 4 hours are charged for $2 per hour
- All hours after that cost $1
Hence, the pricing scheme of the function is (a)
Read more about piecewise function at:
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K= 4 because 8-4= 5. Therefore K= 4
Answer:
-9
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A Arithmetic sequence -5 , -14 , -23 ...
And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.
<u>Sequence</u><u> </u><u>:</u><u>-</u><u> </u>
-5 , -14 , -23
<u>Common</u><u> difference</u><u> </u><u>:</u><u>-</u><u> </u>
CD = -14 -(-5) = -14+5=-9
CD = -23-(-14) = -23+14=-9
<u>Hence </u><u>the</u><u> </u><u>common</u><u> difference</u><u> </u><u>is </u><u>(</u><u>-</u><u>9</u><u>)</u><u> </u><u>.</u>
Answer:
es 999
Step-by-step explanation:
This is true. In order to get an obtuse triangle, one angle must be greater than 90 degrees because the definition of an obtuse triangle is an angle measuring greater than the right angle. The other angles must be less than 90 degrees because the sum of the angles must be 180 degrees.