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3 years ago

Can i find the inequality

Mathematics

1 answer:

Step2247 [10]3 years ago

5 0

To find the inequality in the graph, you would need to do 2 things.

1. Find the equation for the function, which can be in the form, y = mx + b.

This can be found out, by using the 2 points in the graph, to find the slope.

M = change in y coordiantes/change in x coordiantes.

Since the graph is to the left, it would have a negative slope.

Check : m = 5-1/0-3 =4/-3.

Next we need to find the y intercept which would be 5.

So y = -4/3x + 5.

2. Since all points that are to the left of the line are included, it would be less than the function.

Y < -4/3x + 5.

Check : pick any other point in the shaded region and plug into the equation to see if the left side equals the right side.

If the inequality is true.

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Answer:

$\large\boxed{y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\==========================\\\\\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\==========================\\\\\text{We have the equation of the line:}\ y=2x+17\to m_1=2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.\\\\\text{The equation of a line:}\ y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.$

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3 years ago

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr a

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Answer:

the duration of the flight be 1 hour

Step-by-step explanation:

The computation of the duration of the flight is shown below:

Let us assume the duration of the flight be x hours

Now the equation would be

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600 ÷ x - 1200 ÷ 2x + 1 = 200

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(2x + 3)(x - 1) = 0

x = 1 hour

hence, the duration of the flight be 1 hour

The same is to be considered

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Step-by-step explanation:

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"Without using a calculator" suggests you are supposed to have memorized the square roots of 2 and 3 to at least 3 decimal places. That is, you know

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