The line with equation y = 2 x + 3 is reflected in the x -axis. Which of the following is the equation of the new line?

The equation of the new line is

Step-by-step explanation:

Reflecting a function over the x-axis:

Suppose we have a function y = f(x)

Suppose y' is the function y, reflected over the x-axis. Their relation is:

y' = -y

In this question:

Line with equation

Reflection over the x-axis:

We have that:

The equation of the new line is

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.