Which inequality is represented by the graph?

Mathematics

1 answer:

blsea [12.9K]3 years ago

7 0

Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (- $1\frac{1}{2}$ ). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around $\frac{2}{5}$ . So now, your equation is y = $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ . Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ .

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤ $\frac{4}{5}$ x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤ $\frac{4}{5}$ x - 2y

$\frac{4}{5}$ x - 2y ≥ 3

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What are the coordinates of the vertex of the graph:

Aleks04 [339]

Answer is C. (-7, -16)

8 0

3 years ago

Read 2 more answers

Need help with this question, thank you in advance!

blondinia [14]

Answer:

arc RP = 84 degrees

Step-by-step explanation:

If the angle NPQ is 102 degrees, we can find the angle NPM:

NPM + NPQ = 180

NPM + 102 = 180

NPM = 78 degrees.

Now, with the triangle NPM, we can find the angle MNP:

60 + 78 + MNP = 180

MNP = 180 - 60 - 78 = 42 degrees

The angle MNP is inscribed in the circle, and is related to the arc RP:

arc RP = 2 * MNP

arc RP = 2 * 42 = 84 degrees

3 0

3 years ago

(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

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$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$