& Which of the following statements best describes the period in Roman history known as the Pax Romana? Pax Romana occurred when Rome was a republic and there was a lot of civil unrest.
Pax Romana occurred while Rome was an empire when wars were less frequent and the empire grew strong.
O Pax Romana occurred when Rome was beginning to form its republic and marked a period of great thinking.
Pax Romana occurred when Julius Caesar became the main ruler of Rome and caused many governmental changes.

Correct answer is Pax Romana occurred while Rome was an empire when wars were less frequent and the empire grew strong.

Explanation:

A is not correct as during the Republic were a lot of unrests. Slave revolts, Civil wars between Sula and Gaius Marius, Caesar and Pompey, Octavian and Marcus Aurelius, Punic wars... It was hard to establish peace.

B is correct as during Octavian Augustus reign Rome as an empire spread its boundaries and for a period of around 200 years led not so frequent wars, which were successful. Roman culture, economy and all other aspects of society were flourishing.

C is not correct because as we said during period of Republic there were many unrests.

D is not correct as Julius Caesar led many military campaigns, mostly in Gaul and Britain and a civil war against Pompey.

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

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