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.
Answer:
It depends on what shape you have. Here are some formulas for different shapes.
Step-by-step explanation:
Rectangular prism: 2lw + 2lh + 2wh
Cylinder: 2 pi <em>r</em>² + 2 pi <em>rh</em>
Sphere: 4 pi <em>r</em>²
Cone: pi <em>r</em>² + pi <em>rl</em>
Square-based pyrimid: 1/2<em>lp</em> +<em>B</em>
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I hope this helps!
Answer:
32 minutes
Step-by-step explanation:
44-12=32
Answer:
(0,2)
Step-by-step explanation:
by substituting 0 for x you can find the y-intercept
f(x)=2*3^x
f(x)=2*3^0
f(x)=2*1
f(x)=2
Answer: -7$ or down by 7$
Step-by-step explanation: Her account went down by 7 or x - 7.
Hope this helped!
Mark Brainliest if you want!
