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2 years ago

Question: Find the inequality represented by the graph

Mathematics

1 answer:

svet-max [94.6K]2 years ago

7 0

Answer:

y < 3x - 4

Step-by-step explanation:

Hey There!

So to find the inequality we need to find the equation

First we need to find the slope

the slope is change in y over change in x

as y goes up 3 x goes up 1 so the slope is 3/1 or 3

Next we need to find the y intercept

the y intercept is at (0,-4) so the y intercept is -4

so we currently have

y __ 3x-4

Remember when the solutions ( shaded area) is above the line then the inequality sign is facing y

When the solutions ( shaded area) is below the line then the inequality sign is facing x

Because the solutions are below the line we use <

The line is dashed so we use <

our final answer would be

y < 3x - 4

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The difference of the degrees of the polynomials p (x) and q (x) is 1.

Step-by-step explanation:

A polynomial function is made up of two or more algebraic terms, such as p (x), p (x, y) or p (x, y, z) and so on.

The polynomial’s degree is the highest exponent or power of the variable in the polynomial function.

The polynomials provided are:

$p(x) = 3x^{2}y^{2} + 5xy - x^{6}\\\\q(x) = 3x^{5} - 4x^{3} + 2$

The degree of polynomial p (x) is:

$\text{deg}\ p (x)=6$

The degree of polynomial q (x) is:

$\text{deg}\ q (x)=5$

The difference of the degrees of the polynomials p (x) and q (x) is:

$\text{deg}\ p(x)-\text{deg}\ q(x)=6-5=1$

Thus, the difference of the degrees of the polynomials p (x) and q (x) is 1.

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