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Incorrect

10]
Use the Distributive Property to expand this expression.

z(-6.4-3.5 x)
A. 
-6.4 z-3.5 x
B. 
z-6.4-3.5 x
C. 
-6.4 z-3.5 xz
D. 
-6.4 xz-3.5 xz

Incorrect\newline10] 10] \newlineUse the Distributive Property to expand this expression.\newlinez(6.43.5x) z(-6.4-3.5 x) \newlineA. 6.4z3.5x -6.4 z-3.5 x \newlineB. z6.43.5x z-6.4-3.5 x \newlineC. 6.4z3.5xz -6.4 z-3.5 x z \newlineD. 6.4xz3.5xz -6.4 x z-3.5 x z

Full solution

Q. Incorrect\newline10] 10] \newlineUse the Distributive Property to expand this expression.\newlinez(6.43.5x) z(-6.4-3.5 x) \newlineA. 6.4z3.5x -6.4 z-3.5 x \newlineB. z6.43.5x z-6.4-3.5 x \newlineC. 6.4z3.5xz -6.4 z-3.5 x z \newlineD. 6.4xz3.5xz -6.4 x z-3.5 x z
  1. Apply Distributive Property: Apply the Distributive Property to the expression.\newlineThe Distributive Property states that a(b+c)=ab+aca(b + c) = ab + ac. We will apply this property to the expression z(6.43.5x)z(-6.4 - 3.5x).
  2. Multiply by Terms Inside: Multiply zz by each term inside the parentheses.\newlineFirst, multiply zz by 6.4-6.4 to get 6.4z-6.4z.\newlineThen, multiply zz by 3.5x-3.5x to get 3.5xz-3.5xz.
  3. Combine Results: Combine the results from Step 22 to write the expanded expression.\newlineThe expanded expression is 6.4z3.5xz-6.4z - 3.5xz.
  4. Match with Answer Choice: Match the expanded expression with the correct answer choice.\newlineThe correct answer choice that matches our expanded expression is C. 6.4z3.5xz-6.4z - 3.5xz.

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