1. Simplify:
points)
(2x - 3x2 + 4x3 – 6x5) + (7x6 – 5x3 + 3x²)

7x⁶ - 6x⁵ - x³ + 2x

Step-by-step explanation:

Step 1: Write expression

(2x - 3x² + 4x³ - 6x⁵) + (7x⁶ - 5x³ + 3x²)

Step 2: Combine like terms (x³)

7x⁶ - 6x⁵ - x³ - 3x² + 2x + 3x²

Step 3: Combine like terms (x²)

7x⁶ - 6x⁵ - x³ + 2x

step-by-step :

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