One of the greatest strengths of behavioral psychology is the ability to clearly observe and measure behaviors. Weaknesses of this approach include failing to address cognitive and biological processes that influence human actions.
Right away we see that expressions (a), (b), and (d) are equivalent, since addition is commutative: $2x + 8 = 8 + 2x$. We now only have to check (c) and (e). If $x=0$, (c) and (e) have the value 4, whereas (a), (b), and (d) have the value 8.So (c) and (e) are not equivalent to (a), (b), and (d).Moreover, if $x=1$, then (c) has the value 6 and (e) has the value 5, so those two expressions are not equivalent either.For (c), we can use the distributive property and decompose one of the numbers to write two equivalent expressions: $$ \begin{align} &2x+4 \\ &2(x+2) \\ &2(x+1+1) \end{align} $$.o (c) and (e) are not equivalent to (a), (b), and (d). Moreover, if $x=1$, then (c) has the value 6 and (e) has the value 5, so those two expressions are not equivalent either. For (c), we can use the distributive property and decompose one of the numbers to write two equivalent expressions:
B) Correct. The rational expression can be simplified by factoring the numerator as (2x + 3)(x + 5) and the denominator as (2x + 3)(x + 10) and then since = 1, you can simplify the expressions to. The values x= â10 and x = give a denominator equal to 0, so the domain is all x not â10, .C) Incorrect.ational expressions, or fractions containing polynomials, can be simplified much like fractions can be simplified. To simplify a rational expression, first determine common factors of the numerator and denominator, and then remove them by rewriting them as expressions equal to 1.