Use an Euler diagram to determine whether the argument is valid or invalid.All soda pops are carbonated.All diet colas are soda pops. Therefore, all diet colas are carbonated.

A. valid
B. invalid


Answer: A

Mathematics

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Give an appropriate answer.Letf(x) = -8 andg(x) = -5. Find[f(x) - g(x)].

A. -4 B. -8 C. -3 D. -13

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Simplify the difference.(4y + 20) - (-4y + 11)

A. 8y + 31 B. 17y C. -8y - 9 D. 8y + 9

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Answer the question.In your own words, define collateral. Give an example.

What will be an ideal response?

Mathematics

Solve the exponential equation.64 = 45x ? 16x2

A. 3 , - 
B. 3 , 4
C. -3 , -4
D. -3 , 

Mathematics