Can you help me is monomials

Section 2.4

8x^2y : 2x : 2y = 2x

This is because 8x^2y divided over 2x leads to 4xy. Dividing 4xy over 2y leads to 2x.

15x^6y^3 : 5y^2x^3 = 3x^3y

Note how 15 divided by 5 is 3

Also, x^6 divided by x^3 is x^3. You subtract the exponents.

Similarly, y^3 divided by y^2 is y^1 = y.

16y^5x^3z : -4zyx = -4y^4x^2

Divide the coefficients to get 16/(-4) = -4

The y terms divide to (y^5)/(y) = y^4. Subtract the exponents.

The x and z terms are handled the same way.

-8x^2 : 2x = -4x

We follow the same steps as before. This time -8/2 = -4 is the new coefficient. The x terms divide to (x^2)/x = x where x is nonzero.

-6xz : -2zx = 3

The coefficients divide to (-6)/(-2) = 3

The x and z terms cancel out when we divide them.

3y^2x : xy^2 = 3

The y^2x expression is the same as xy^2, so when we divide these terms they cancel.

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hope it's you

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true