Sharon is hoping to find a job as a pastry chef. She sets up a booth at a local culinary fair and offers free samples of her pastries. As she had hoped, Sharon gets an interview for a local pastry chef position and is later hired. This is an example of

reciprocal determinism.

Explanation:

Reciprocal determinism: In psychology, the term "reciprocal determinism" was proposed by a famous psychologist named Albert Bandura. The theory states that an individual's behavior tends to influence as well as gets influenced by the social environment and personal factors. Alongside, Bandura believed in the possibility that a person's behavior can be conditioned by the utilization of specific consequences.

In the question above, the given statement represents "reciprocal determinism".

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

the answer is solomon northrup. he was a free-born african american, abolitionist and professional violinist that was drugged, kidnapped and sold as slave in 1841 and remained in captivity until 1853 where he regained his freedom with the of the then-governor of new york, washington hunt. he wrote and published his memoirs "twelve years a slave" in 1853, and in this text, he tells the story of his escape thru one of louisiana's swamps (the great pacoudrie swamp) in which he ended up covered in green slime from crossing the surface of the dead water.