Answer:
y < 0.25x + 4
Step-by-step explanation:
The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.
We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.
Solving for the line:
Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using
results in
or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.
Now all we do is replace the = with the < and we have our answer:
y < 0.25x + 4
The first is in the form y=Mx+b where m is the slope and b is the y-intercept. Start at 600 on the y-axis and graph with a slope of six. The second is in the same form but the y-intercept is 0, so start at the origin and graph with a slope of 8. The last is in the form y=b+mx, so start at 1300 and graph with a slope of 3. Remember, slope is rise/run or (change in y)/(change in x). Since the domain and range start at 0 these graphs will only be in the first quadrant with an x limit of 650 and a y limit of 1500.
Answer:
See explanation
Step-by-step explanation:
An example of an equation with the distributive property would be:
3(x+4) = 30
The distributive property tells us:
3(x+4) = 3x+12, since the 3 carries into both x and 4.
Therefore, you have:
3x + 12 = 30
-> 3x = 18
-> x = 6
Answer:
It'll take them 7.334 s to collide.
Step-by-step explanation:
Since the two ninjas are moving towards each other their relative speed is the sum of each individual speed, therefore:

Since they are a 88 feet apart, then we can calculate the time it'll take them to hit each other is:


Applying the data from the problem, we have:

It'll take them 7.334 s to collide.