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solniwko [45]
3 years ago
7

The equation y = −2x + 3 is the boundary line for the inequality y ≤ −2x + 3. Which sentence describes the graph of the inequali

ty?
A. The region shaded above a dashed boundary line.


B. The region shaded above a solid boundary line.


C. The region shaded below a solid boundary line.


D. The region shaded below a dashed boundary line.

Mathematics
2 answers:
bulgar [2K]3 years ago
8 0

Answer:

C. The region shaded below a solid boundary line.

Step-by-step explanation:

The given inequality is

y\le-2x+3

The boundary line for this inequality is y=-2x+3.

Since the inequality involve \le, we use a solid boundary line.

After graphing the boundary line; we test the origin to determine which half -plane to be shaded. This is because the boundary lie is not passing through the origin.

Testing the origin yields 0\le-2(0)+3.

This implies that;  0\le3. This statement is true.

Hence we shade the lower half-plane of the solid boundary line.

The correct choice is C.

See graph

lukranit [14]3 years ago
6 0

Answer: Option C

Step-by-step explanation:

The point-slope form of the equation of the line is:

y=mx+b

Where m is the slope and b is the intersection with the y-axis.

In the line y=-2x + 3, you can identify that:

m=-2\\b=3

The symbol of the inequality "\leq" indicates that you must shade the region below the boundary line and for the symbols of inequalities "\leq" and "\geq" the line must be solid (Observe the graph attached).

Then the answer is the option C.

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which is y=7-2x

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3 years ago
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Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million. If the firm has debt of $6.4 million and total asse
aniked [119]

Answer:

ROA = 7.77 percent

Step-by-step explanation:

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million

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profit = 5.6 / 100 *  $13.6 million = $0.7616 million

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Formula for ROA (return on asset) = net income/ total asset

total asset as given = $9.8 million

Thus, ROA = $0.7616/ $9.8 = 0.0777

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Thus, ROA is 7.77 percent .

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3 years ago
A high school track is shaped as a rectangle with a half circle on either side.
Ilia_Sergeevich [38]

Answer:

Option (3)

Step-by-step explanation:

Track is shaped as a rectangle with a semicircle on either side.

Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.

= 2(96) + 2πr

= 192+2\pi (\frac{35}{2})

= 192 + 35π

= 192 + 109.9

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Therefore, distance covered by Jake = 4 × 301.9

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nadya68 [22]

Answer:

BAC=BDC(BDX)=30°

Step-by-step explanation:

We know that BD=OD.

But OD=OB= Radius of the circle.

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BD=OD=OB

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Angle DBO= 60°

Now let us take the intersecting point of CD and AB as X.

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Answer:

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Rate 5 stars thanks.

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