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2 years ago

Which linear inequality is graphed with y > –x – 2 to create the given solution set?

Mathematics

1 answer:

valentinak56 [21]2 years ago

5 0

The Linear inequality that is graphed with y > –x – 2 to create the given solution set is; y < x + 1

<h3>How to interpret Inequality Graphs?</h3>

From the attached graph of inequalities, we see that one of the lines has its' y - intercept as -2 with a slope of -1. Thus, the equation in slope intercept form is; y = -x - 2.

The shaded region will have the inequality; y > -x - 2.

The other line has its' y - intercept as 1 and a slope of 1.

Thus, the equation of line is; y = x + 1.

The shaded part is above the line and as such the inequality region is represented by the inequality y < x + 1.

Read more about Inequality Graphs at; brainly.com/question/11234618

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B. a cylinder with radius 3 inches and height 4 inches<br> What is the volume in cubic inches?

PilotLPTM [1.2K]

The volume of the cylinder is $\pi r^{2}h$

r: radius --> 3 inches
h: height --> 4 inches

Volume = $\pi 3^{2} * 4=113.097$ cubic inches (approximated)

Hope that helped!

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3 years ago

Helium is used for balloons because it is less dense than air. This is what allows helium balloons to rise. Suppose a helium- ai

Kay [80]

Answer: Option A

About 0.02 pounds

Step-by-step explanation:

We know that density is defined as:

$d = \frac{m}{v}$

Where

d is the density

m is the mass

v is the volume

We want to calculate the helium-air mass of a spherical balloon and we know its density and the diameter of the balloon.

Then we can calculate its mass.

1) We use the diameter of the spherical globe to calculate its volume.

The volume of a sphere is:

$V = \frac{4}{3}\pi r ^ 3$

and

$radius = \frac{diameter}{2}$

$V = \frac{4}{3}\pi(\frac{d}{2}) ^ 3\\\\V = \frac{4}{3}\pi(\frac{1}{2}) ^ 3$

$V= 0.5236\ ft^3$

2) Use the density formula to find the mass

$d = \frac{m}{v}$

$m = vd$

$m = (0.5236\ ft^3)*(0.04\ \frac{pound}{ft^3})\\\\m = 0.02\ pounds$

<em>The answer is 0.02 pounds</em>

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3 years ago

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Ksju [112]

C, b, and d
....................................

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4 years ago

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