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Semenov [28]
3 years ago
9

Is (-3, 2) a solution of -4r - 10y< - 9?

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

Answer:

<em>The point (-3,2) is not a solution of the inequality</em>

Step-by-step explanation:

<u>Inequality</u>

Inequalities relate the left and the right side of an expression with an operator other than the equal sign.

The inequality given in the question is

-4r - 10y< - 9

There are many combinations of r and y that make inequality be true. For example, for r=1 and y=1

-4(1) - 10(1)< - 9

-14< - 9

This relation is true since -14 is less than -9.

Also, there are many combinations that make the given inequality be false.

For example, for r=2 and y=-1

-4(2) - 10(-1)< - 9

-8+10

2

This inequality is false.

Let's test the point (-3,2)

-4(-3) - 10(2)< - 9

12-10

2

Which is false, thus the point (-3,2) is not a solution of the inequality

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Considering the vertex of the parabola, the correct statement is given by:

The range of the function is all real numbers less than or equal to 9.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

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In which:

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Considering the coefficient a, we have that:

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In this problem, we have that:

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Hence the range is described by:

The range of the function is all real numbers less than or equal to 9.

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Answer: 33 students wore blue jeans .

Step-by-step explanation:

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