Chapter 7: courts and the quest for justice, 6th ed.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7

absolute poverty the condition of having too little income to buy the necessities-- food, shelter, clothing, health care.

achieved status a social position (status) obtained through an individual's own talents and efforts.

affirmative action the requirement that employers make special efforts to recruits hire and promote qualified members of previously excluded groups including women and minorities.

aggregate a collection of unrelated people who do not know one another but who may occupy a common space--for example, a crowd of people crossing a city street.

agrarian societies societies in which large scale cultivation using plows and draft animals is the primary means of subsistence.

alienation the separation or estrangement of individuals from themselves and from others.

amalgamation the biological as well as cultural assimilation (merging) of racial or ethnic groups.

anomalies in science observations or problems that cannot be explained or solved in terms of a prevailing paradigm.

anomie a breakdown or confusion in the norms, values, and culture of a group or a society. a condition of relative normlessness.

anomie theory the theory suggesting that deviance and crime occur when there is an acute gap between cultural norms and goals and the socially structured opportunities for individuals to achieve those goals.

anticipatory socialization the process of taking on the attitudes values and behaviors of a status or role one expects to occupy in the future.

apartheid the recent policy of racial separation in south africa enforced by leg

explanation: