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3 years ago

Analyze the graph. Which inequality represents the graph?

Mathematics

2 answers:

Anna007 [38]3 years ago

5 0

Answer:

y < -3x + 4

Step-by-step explanation:

From the graph, we can see that the intercept on the y axis is 4 while the intercept on the x-axis is approximately 1.33 or simply 4/3.

This means, at x = 0, y = 4 and at y = 0, x = 4/3.

Therefore the linear equation is;

y = -3x + 4

However, the shaded area is below the line and so the operation will be with the sign less than(<). Also, we see that the line is broken and this means that the line doesn't include equal to "=" sign.

Thus, the correct inequality is;

y < -3x + 4

kompoz [17]3 years ago

4 0

Answer:

The answer is D.

Step-by-step explanation:

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Felipe made $168 for 8 hours of work. At the same rate, how much would he make for 18 hours of work?

MrMuchimi

Answer: $378

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Multiply 2.25 and 168 to get 378

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3 years ago

Find the distance between the points given.

Maru [420]

Use the distance formula

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Input corresponding numbers

$d = \sqrt {\left( {2- 6} \right)^2 + \left( {5-8} \right)^2$

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$\sqrt{16 + 9}$

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3 years ago

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1$

Also Slope of line when angle ' θ ' is given as

$Slope=\tan \theta$

Substituting Slope = 1 we get

$1=\tan \theta$

$\tan \theta=1\\\theta=\tan^{-1}(1)$

We Know That for angle 45°,

tan 45 = 1

Therefore

$\theta=45\°$

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

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3 years ago

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Reil [10]

Answer:

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Step-by-step explanation:

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mina [271]

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