Answer:
Step-by-step explanation:
For a shape to be a parallelogram, the angles that are across from one another have to be equal.
We can now find x by making both equations equal to each other and solving.
Solve.
Mark signed an appointment to receive internet service on his mobile phone for the service he pays a monthly fee plus a charge f
1 answer:
Answer:
<em>Mark used 6.43 megabytes of data.</em>
Step-by-step explanation:
The given equation is: , where
is amount of data used in megabyte.
For finding the amount of data Mark used, <u>we need to solve the above equation for </u>.
First subtracting 5.25 from both sides, we will get.....
Now, dividing both sides by 0.3 ...........
<em>(Rounded to the nearest hundredth)</em>
Thus, Mark used 6.43 megabytes of data.
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a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as
... c = k·s² + m·s + n
Filling in the given values gives three equations in k, m, and n.
Subtracting each equation from the one after gives
Subtracting the first of these equations from the second gives
Using the next previous equation, we can find m.
Then from the first equation
[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]
There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with
... c = 0.01s² - s + 37
b) At 150 kph, the cost is predicted to be
... c = 0.01·150² -150 +37 = 112 . . . cents/km
c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.
d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.
