Jillian is participating in an experiment in which she was asked to shadow a message presented to the left ear while simultaneously ignoring a message presented to the right ear. Jillian is LEAST likely to detect which of the following changes in the signals? a. The right ear's message is initially presented in a high-pitched voice but is then spoken by a low-pitched voice.
b. The participant's name is mentioned three times at various points within the right ear's message.
c. Initially, the right ear's message contains a male voice reading a coherent passage, but this is then replaced by the same voice reading a sequence of random words.
d. The right ear's message is initially presented in a soft voice but is then spoken by a loud voice.

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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