Rewrite in simplest form (-4x+6y-)-(-9x-8y

5x + 14y

Explanation:

−4x+6y−(−9x−8y)

Distribute the Negative Sign:

= −4x+6y+−1(−9x−8y)

= −4x+6y+−1(−9x)+−1(−8y)

= −4x+6y+9x+8y

Combine Like Terms:

= −4x+6y+9x+8y

= (−4x+9x)+(6y+8y)

= 5x + 14y

b is the answer that makes most sense

step-by-step explanation:

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