Answer:
see attached diagram
Step-by-step explanation:
First, draw the dashed line 50x+150y=1500 (dashed because the inequality is without notion "or equal to"). You can do it finding x and y intercepts.
When x=0, then 150y=1500, y=10.
When y=0, then 50x=1500, x=30.
Connect points (0,10) and (30,0) to get needed dashed line.
Then determine which region (semiplane) you have to choose. Note that origin's coordinates (0,0) do not satisfy the inequality 50x + 150y>1500, because
This means that origin lies outside the needed region, so you have to choose the semiplane that do not contain origin (see attached diagram).
Answer:
Step-by-step explanation:
Let the exponential function be,
Here, C = cost of the car
t = Duration or period in years
From the given table,
Two points representing cost of the car and time are (10000, 0) and (8520, 1),
For (10000, 0),
a = 10000
For (8520, 1)
8520 =
b = 0.8520
Therefore, exponential equation will be,
Answers:
Distance = 14 km
Displacement = 4 km east
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Explanation:
The total distance is simply the sum of the values given. So he traveled a total of 5+4+5 = 9+5 = 14 km overall.
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The displacement is where a drawing may come in handy. Draw an xy axis. Place point A at the origin (0,0). This is where Michael starts his trip. Then move up to (0,5) to indicate he goes 5 km north. Call this point B.
Afterward, mark point C at (4,5) to show he has gone 4 km east. Finally, point D is at (4,0) because he went 5 km south
The displacement is only concerned with two points: The start and end point. Nothing else matters. We started at A(0,0) and ended at D(4,0). So we've gone 4 km east overall. The direction is important when it comes to displacement. Simply saying "4 km" isn't enough. So in a sense, we could take a shortcut from A directly to D, bypassing the other points B and C.
See the diagram below for a visual.
