Evaluate the expression for the given values. 12x+5y3z , where x = 12 , y = 6 and z = 3 give a verified answer
1 answer:
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HERE IS YOUR ANSWER HOOMAN:
8
STEP BY STEP EXPLANATION FAM:
We have a set of four numbers and the mean is 5. We can see that the sum of the values is 20:
=5
We have another set of three numbers whose mean is 12. We can write that as:
=12
To find the mean of the seven numbers together, we can add the values together and divide by 7:
=
=8
HOPE DIS HELPED FAM
w(ﾟДﾟ)w
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.
