Beverly and her mother were shopping for a birthday gift for beverly's father. "how about this? daddy would love it! " beverly exclaimed, showing her mother a pink and purple toy horse with flowing mane and tail. beverly's belief that her father would enjoy a toy that she herself would enjoy is an example of

The correct answer is egocentrism. Egocentrism is being defined as a way of not being able to differentiate other people and his or herself and that the self is likely to think that she or he is the center of all the things and that he or she has no interest towards others.

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