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Marta_Voda [28]
2 years ago
8

Which of the following statements is true about the graph of the inequality y≤ax+b, where a≠0?

Mathematics
1 answer:
vladimir2022 [97]2 years ago
6 0

Answer:

The correct option is;

B. The graph of the inequality is a solid line, and the shaded region is below the line

Step-by-step explanation:

The given inequality is y ≤ ax + b, a ≠ 0

Therefore. the inequality is a straight line graph with a slope = a, and a y-intercept of b

Given that the inequality uses an equal to or lesser than sign, we have that the graph of the inequality is a solid line

Whereby the region of feasibility is the region below the value of the expression on the right of the inequality, the area below the straight line graph is the shade (feasible) region.

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Answer:

b is the answer

Step-by-step explanation:

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3 years ago
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Factor. (6x+4) <br><br><br> 3(2x+1) <br><br> 3x + 2 <br><br> 2(3x+2) <br><br> 2(x+2)
jok3333 [9.3K]

Answer:

2(3x+2) is your answer because you factor out 2. The number 2 is a factor of both 6 and 4 (2*3=6 and 2*2=4).


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3 years ago
A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole
Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

\sin\theta=\dfrac{h}{H}

h is perpendicular and H is hypotenuse

So,

\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}

Now using Pythagoras theoerm,

b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0
2 years ago
Please help i will give brainly :
Lubov Fominskaja [6]

1) The x-axis represents the energy (E), in joules. The y-axis represents the amplitude (x), in milimeters.

2) The curve depicts an <em>monotonous decrecent</em> rate of change.

3) The amplitude is directly proportional to the root square of the energy.

<h3>How to analyze a graph relationship between two variables</h3>

In this question we have a relationship between two variables, in which we must apply principles of <em>functional</em> analysis to respond three questions presented in the statement.

Now we proceed to answer the three questions below:

  1. <em>What is on the x-axis? The y-axis?</em> R/ The x-axis represents the energy (E), in joules. The y-axis represents the amplitude (x), in milimeters.
  2. <em>How would you describe the rate of change of the line?</em> R/ The curve depicts an <em>monotonous decrecent</em> rate of change, that is, the slope converges to zero when the energy tends to infinite.
  3. <em>What does this tell you about the relationship between amplitude and energy?</em> R/ The curve show a strong similarity with a function of the form x = A\cdot \sqrt{E}. Hence, the amplitude is directly proportional to the root square of the energy.

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/12431044

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Answer:

1) 13(2) + 2m = A

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