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tatiyna
2 years ago
9

Which of the following statements about closure is false?

Mathematics
1 answer:
Dovator [93]2 years ago
7 0

Using the concept of closure, it is found that the false statement is given by:

Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

<h3>What is the closure of a polynomial?</h3>

A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and  multiplication operations.

As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.

More can be learned about closure of polynomials at brainly.com/question/9438778

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Step-by-step explanation:

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Given the function f(x) = –5|x 1| 3, for what values of x is f(x) = –12?
Gre4nikov [31]

For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4

<h3>What will be the value of x?</h3>

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

So the values of x are x = 2, -4

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Create a linear equation based on an experience in your everyday life. In this experience, a variable should depend on at least
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The equation that represent the total salary that I earn for working x hours in a week is y = 10x

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let y represent the total salary earned by working x hours, hence, if I earn $10 per hour:

y = 10x

The equation that represent the total salary that I earn for working x hours in a week is y = 10x

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