5) Jessica has to take a train from New York to New Jersey. She looks at the map to plot her route. If 1cm equals 10
1 answer:
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The system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph which models the system of inequalities shown, we can infer and logically deduce the following points:
- Both boundary lines on the cartesian coordinate are solid. Thus, the inequalities will both have the "equal to" sign.
- The shading occurred above the quadratic boundary line. Thus, the inequalities below the linear boundary line is given by y ≥ x² + and y ≤ x +
In conclusion, we can infer and logically deduce that the system of inequalities which is represented in the graph shown (see attachment) is:
- y ≥ x² -2x -3
- y ≤ x +3
Read more on graphs here: brainly.com/question/25875680
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Answer:
Length of the bold arc = 72.63 ft
Step-by-step explanation:
Length of the arc =
Here, θ = angle subtended by the arc at the center
r = Radius of the circle
Since, angle subtended by the bold arc at the center = 360 - 73
= 287°
And radius of the circle 'r' = 14.5 ft
By substituting these values in the formula,
Length of the bold arc =
= 72.632
≈ 72.63 ft
Therefore, length of the bold arc = 72.63 ft
The number of gallons of water in the tank at t=10 is
... W(10) = 160,000 -10(8000 -10) = 80100
The number of gallons of water in the tank at t=10.5 is
... W(10.5) = 160,000 -10.5(8000 -10.5) = 76110.25
The rate of change over the interval is
... (W(10.5) - W(10))/(10.5 - 10) = (76110.25 - 80100)/(0.5) = -7979.5
The average rate of change in the number of gallons of water in the tank over the interval is -7979.5 gal/min.
The sign is negative, so the amount of water is decreasing.
