log_2(8) = 3 and log_2(4) = 2, thus log_2(8) + log_2(4) = 3 + 2 = 5.

Substituting x = 1 into P(x) gives P(1) = 2(1)^2 + 3(1) - 5 = 0.

Substituting x = 1 into P(x) gives P(1) = 1^3 - 3(1^2) + 4 = 2.

Substituting x = 2 into P(x) gives P(2) = 2^3 - 3(2^2) + 4 = 8 - 12 + 4 = 0.

Substituting x = 2 into the polynomial gives p(2) = 3(2^2) - 2(2) + 1 = 12 - 4 + 1 = 9.

Substituting x = 2 into the polynomial gives p(2) = 3(2^2) - 4(2) + 1 = 12 - 8 + 1 = 5.

Substituting x = 2 into the polynomial gives P(2) = 4(2^2) - 3(2) + 7 = 16 - 6 + 7 = 27.

Substituting x = -1 gives P(-1) = 5(-1)^2 - 3(-1) + 7 = 5 + 3 + 7 = 15.

First, divide both sides by 2 to get x - 3 = 2, then add 3 to both sides to find x = 5.

To solve for x, add 9 to both sides and then divide by 3: 3x = 9, thus x = 3.

Dividing both sides by 4 gives x - 1 = 3, thus x = 4.

First, divide both sides by 4: x - 2 = 3, then add 2 to both sides: x = 5.

First, divide both sides by 5: x - 2 = 3. Then add 2 to both sides to find x = 5.

The vertex can be found using the formula x = -b/(2a), which gives x = 2. Substituting x back into the function gives the y-coordinate.

To find the x-intercept, set y = 0. The equation becomes 5x = 10, thus x = 2.

The author argues that activism plays a crucial role in raising awareness about inequalities.

The author argues that government intervention is essential in addressing and reducing inequalities.

The author argues that community initiatives can play a significant role in supporting governmental efforts to reduce social inequalities.

The passage suggests that technology can exacerbate existing inequalities if not managed properly.

The author argues that inequalities are a significant barrier to achieving true social justice.

The author emphasizes the importance of community involvement in tackling inequalities, suggesting it is crucial.

The author acknowledges the importance of education but also points out that it is not the only solution to inequalities.

The author argues that without systemic change, efforts to address inequalities will be ineffective.

The passage adopts a critical tone, highlighting the urgency of addressing social inequalities.

A piecewise function is defined by different expressions depending on the interval of the input value.

A one-to-one function has each output paired with exactly one input, meaning it passes the horizontal line test.

A periodic function is one that repeats its values at regular intervals, such as sine and cosine functions.

The slope of a linear function indicates the rate of change of the function with respect to x.

The author employs statistical data to substantiate claims about the prevalence and impact of inequalities.

The author uses examples to illustrate the complexity of inequalities, making the argument more relatable and understandable.