2. Evaluating Which one of the functions of government do you think
is the most important? Why?

Explanation:

Some areas of reform that interested Progressives include women's suffrage movement, returning control of the government to the people of the United States, and eliminating waste and corruption. In the early 1900's, women started to create women's clubs to call for the right to vote. A major change in society in the early 1900's was that the 19th amendment was passed which gave women the right to vote. Without the help of Progressives, the amendment wouldn't have been passed. Citizens of the US also noticed that government was taking control of their country and they wanted the control back. Most importantly, many people wanted to eliminate waste and corruption. To do this, many cities in the US adapted a new form of government created in Galveston called the commission form of government. This type of government helped stop bribery and city governments started to hire professional planners in their local governments.

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