HELP! I WILL MARK BRAINLIEST IF CORRECT! PLS EXPLAIN HOW YOU GOT YOUR ANSWER TOO!

Step-by-step explanation:

f(x) = -x² · (3x + 2)²

Plug in -2 for x...

f(-2) = -(-2)² · (3(-2) + 2)²

PEMDAS tells us to solve what's in the parenthesis first...

f(-2) = -(4) · (-4)²

Then we solve...

f(-2) = -4 · 16

f(-2) = -64

Your answer is -64

hope this helps :)

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