If |x|=3, x can be either 3 or -3
Answer:
Option B
Step-by-step explanation:
Length of the rectangular sand box is given by the function,
F(x) = 3x³ + 6x - 2
Width of the sand box is represented by the function,
W(x) = 2x² - 4
Area function for the sand box will be,
Area of a rectangle = Length × Width
F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)
= 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)
= 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8
= 6x⁵- 4x²- 24x + 8
Therefore, Area function will be represented by a polynomial degree of 5.
Option B will be the answer.
1.1 Pull out like factors :
-8x - 2 = -2 • (4x + 1)
2.1 Divide both sides by -2
Remember to flip the inequality sign:
2.2 Divide both sides by 4
x+(1/4) ≥ 0
Solve Basic Inequality :
2.3 Subtract 1/4 from both sides
x ≥ -1/4