Think of absolute value and inverse operation, +72 to 72 and 24
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.
ax-bx+y=z the formula that could be used to find x
Answer:
<h2>x=z−y/a−b</h2>
44% of 8.79 =
0.44 (8.79) = 3.87 (thats rounded)
8% of 2.36 =
0.08 (2.36) = 0.19 (rounded)
25 students, homework 3 times per week, 12 problems each assignment
3(12) = 36 problems per student...36(25) = 900 problems for 25 students.
ur answer is 900
Answer:
1¹/₃₀
Step-by-step explanation:
The 3 gallons were partially full
They contain 1/3 of a gallon and 1/5 and 1/2 of a gallon of paint.
the first is 1/3 of the gallon
the second is 1/5 of galloon
the third is 1/2 of gallon adding them together
1/3 +1/5 +1/2 = (10+6+15)/30 = 31/30 = 1¹/₃₀
