Answer:
B) [tex](-1.4z+0.7)\times 40[/tex]
D) [tex](8z-4)(-7)[/tex]
Step-by-step explanation:
Given expression:
[tex]-56z+28[/tex]
To find the equivalent expression.
We will evaluate each expression in the given choices to check the equivalence.
A) [tex]\frac{1}{2}(-28x+14)[/tex]
Using distribution.
⇒ [tex]\frac{-28z}{2}+\frac{14}{2}[/tex]
⇒ [tex]-14z+7[/tex]
B) [tex](-1.4z+0.7)\times 40[/tex]
Using distribution.
⇒ [tex](-1.4z\times 40)+(0.7\times 40)[/tex]
⇒ [tex]-56z+28[/tex]
C) [tex](14-7z).(-4)[/tex]
Using distribution.
⇒ [tex](14.(-4))+(-7z.(-4))[/tex]
⇒ [tex]-56+28z[/tex]
D) [tex](8z-4)(-7)[/tex]
Using distribution.
⇒ [tex](8z(-7))+(-4(-7))[/tex]
⇒ [tex]-56z+28[/tex]
E) [tex]-2(-28z-14)[/tex]
Using distribution.
⇒ [tex](-2(-28z))+(-2(-14))[/tex]
⇒ [tex]56z+28[/tex]
From the choices evaluated, we find that the expressions in choices B and D are equivalent
