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1 year ago

Which expresion is equivalent to the given expresion (3m-4)³(3m³)

Mathematics

1 answer:

ivolga24 [154]1 year ago

7 0

The equivalent expression of $(3m^{-4})^3 * (3m^3)$ is $729m^{-9}$

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

$(3m^{-4})^3 * (3m^3)$

Expand the brackets

$27m^{-12} * 27m^3$

Apply the law of indices

$729m^{-12+3}$

Evaluate the sum

$729m^{-9}$

Hence, the equivalent expression of $(3m^{-4})^3 * (3m^3)$ is $729m^{-9}$

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No, he can get an output of 0 with the second machine (function B) but he cannot get an output of 0 with the first machine (function A).

Explanation

The way each machine works is given by the expression (function) inside it.

1) Function A

To get an output of 0 with the function y = x² + 3, you must solve the equation x² + 3 = 0.

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2) Function B

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If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilitie

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Answer:

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A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

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