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2 years ago

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

1 answer:

4 0

Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.

The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.

The area where both shaded areas meet is the area that will have all the possible solutions.

PartB:

y ≥ −3x + 3

3 ≥ -3(-6) + 3

3 ≥ 18 + 3

Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.

Learn more about Inequality:

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A used bookstore will trade 2 of its books for 3 of yours. If Val brings in 18 books to trade, How many books can she get from t

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She will get 12 books from the store

Step-by-step explanation:

We can use ratio's to solve

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3 years ago

Read 2 more answers

Maitri and Aabhas do a work in 12 hours.

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Answer:

See below ~

Step-by-step explanation:

Given

Maitri and Aabhas do a work in 12 hours
Aabhas and Kavya do the work in 15 hours
Kavya and Maitri do the work in 20 hours

Solving

Take Maitri, Aabhas, and Kavya to be x, y, z respectively
x + y = 12 (1)
y + z = 15 (2)
x + z = 20 (3)

Take Equation 1 and rewrite it so that it is equal to x.

x = 12 - y

Take Equation 2 and rewrite it so that it is equal to z.

z = 15 - y

Now, substitute these values in Equation 3.

x + z = 20
12 - y + 15 - y = 20
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Substitute the value of y in Equation 1.

x + 3.5 = 12
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Substitute the value of y in Equation 2.

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Add the values of x, y, and z together.

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2 years ago

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Step-by-step explanation:

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Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a

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Given:

Point B has coordinates (4,1).

The x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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$y=-5$ and $y=7$

Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).

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