Your answer is 28.
If the equation is in an absolute value, you do the operation like normal and then take the positive version of the number because an absolute value is just how far on a number line the number is from zero and distance cannot be measure in negative numbers.
Answer:
A. $148 for the first plumber for 4 hours. $256 for the second plumber for 4 hour
B. He did 5 hours
C. 1 hours because the flat rate plus the hourly fee adding it together will equal 64.
Step-by-step explanation:
Your welcome
Communitive Property is the correct one
Part A:
Look at the image attached to my answer for the graph of the inequalities.
There are two different lines provided, one with a more negative slope than the other. The shaded area between them represents the solution set.
The green line is 2x+y≤8, the blue line is x+y≥4
Part B:
To test if (8, 10) is included, substitute x = 8 and y = 10 into both inequalities. If it doesn't satisfy one of them, then it isn't included in the solution area.
2(8) + 10 ≤ 8
16 + 10 ≤ 8
26 ≤ 8... 26 is NOT less then or equal to 8
Thus, (8, 10) cannot be a solution since the inequality is not true.
Part C:
I'm going to choose a random point from the graph, (2, 3). For your answer, any point in the shaded region where both x and y is positive will work.
The point (2, 3) means that Sarah can buy 2 cupcakes and 3 pieces of fudge to get at least 4 pastries for her siblings while staying within her 8 dollar budget.
Let me know if you need any clarifications. Happy Studying~