Answer:
They provide you with a graph that already has all the numbers and there is a data table. The data table lists all the numbers you have to plot onto the graph.
How to graph: The first number is 27, which is the vehicle weight in hundreds of lbs. On the graph, you can see that on the x-axis, it says weight (in hundreds of lbs). So first, look at the x-axis numbers and find somewhere between 25 and 30 and try to estimate where 27 would be.
Now look at the city MPG value that corresponds to 27, the weight value. It is 25. That's perfect because it is exactly the intervals the graph is in. So find 25 on the y-axis since the y-axis represents the city MPG. Now draw a straight line from the 25 on the y axis to the right. Then, draw a line from the 27 on the x axis straight up and where the two meet is the first point. Obviously, you don't need to make it that complicated if you don't need all the extra steps to understand but it is just in case you don't know how to graph the points.
Repeat for the rest of the points (make sure you use the correct corresponding points). Good luck on your test!
Step-by-step explanation:
Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]
Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3
So, (according to the first equation) all values of x must be greater than, or equal to -5.
(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.
Answer:
h=-16t^2+ 30t+4.
Step-by-step explanation:
For the table you just plug in the <em>t</em> (time) into the equation. So for the first one we have 0 seconds. So you plug in the 0 where it says <em>t</em>. So the equation becomes h=-16*0^2+30*0+4. Which gives us 4 <em>h</em>(height). Then you keep pluging in the time into the equation.
Time <em>t </em>in seconds 0 .5 1 1.5 2
Height <em>h </em>in feet 4 15 18 13 0
The motorists average speed was 58 kph
