Answer: They are not parallel, they are coincident
Step-by-step explanation:
If two lines have the same slope but a different y-intercept, the lines are parallel. If two lines have the same slope and the same y-intercept, the lines are coincident.
We can rewrite 5x−y=−5 adding -5x to both sides and multiplying by -1:
5x - y =-5
5x - y -5x = -5 - 5x (adding -5x to both sides)
-y = -5 - 5x
Multiplying by -1
y = 5x + 5
Both equations look the same so they are coincident. They have the same intercept y=5 and the same slope m=5.
1) Solve the first inequality
3y ≤ 2x + 6
=> y ≤ 2x/3 + 2
2) Draw the line y = 2x/3 + 2
3) Shade the region below the line y = 2x/3 + 2
4) Solve the inequality 2x + y > 0
=> y > - 2x
5) draw the line y = -2x
6) Shade the region above the line y = -2x
7) The solution is the region between the two lines shaded including the portion of the line y = 2x/3 + 2
ok thats cool ig what do you need help with
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.