3a(a+1)-5=3a-2
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3a to the second power minus three/ 3a^2 - 3

Step-by-step explanation:

3a (a + 1) - 5 = 3a - 2 Given

3a^2 + 3a - 5 = 3a - 2 Distributive prop

+ 2 + 2 Addition property

3a^2 + 3a - 3 = 3a Simplify

- 3a - 3a Subtraction prop

3a^2 - 3 Simplify

9x

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