Consider the system: y = 3x + 5 y = ax + b What values for a and b make the system inconsistent? What values for a and b make th
2 answers:
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Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
Answer:
Reasonable estimation for constant of variation is 0.25 kWh per day.
Step-by-step explanation:
We are given the following information in the question:
- The graph represents the function where electricity usage.
- Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
- The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
- Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)
Formula for constant of variation:
Putting the values from the coordinates (2,0.5) and (6,1.5), we get:
Hence, reasonable estimation for constant of variation is 0.25 kWh per day.
Answer:
Carmen's score is 75 strokes.
Linda's score is 81 strokes.
Step-by-step explanation:
Let the score of Linda be "x".
<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>
Thus, Carmen's score is (x-6).
The total score of the girls is
=
The total score is given to be 156.
Thus, the equation becomes,
<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>