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3 years ago

Which expression is equivalent to -12(3x-3/4) ?

Mathematics

2 answers:

earnstyle [38]3 years ago

6 0

Answer: This expression is equivalent to -36x+9.

Step-by-step explanation: We have to multiply through out by -12 in order to remove the brackets and then write the answer.

=12(3x-3/4)

= -36x+9

zalisa [80]3 years ago

5 0

Answer:

An equivalent expression is

-36(x-1/4)

Step-by-step explanation:

Step one

This problem bothers factorization of linear expression

Step two

Given the expression

-12(3x-3/4)

Step three

We can actually factor out some figures from the terms in the bracket

Say we factor out 3 we have

-12*3(x-1/4)

-36(x-1/4)

Hence the equivalent expression to

-12(3x-3/4)

is - 36(x-1/4)

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Using Cramer's rule to solve linear systems.

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Answer: Last Option

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Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

$x =\frac{Det(A_X)}{Det(A)}$

$y =\frac{Det(A_Y)}{Det(A)}$

For this problem we know that:

$Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|$

Solving we have:

$|A|= 4*(-2) -(-6)*8\\\\|A|=40$

$Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|$

Solving we have:

$|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80$

$Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|$

Solving we have:

$|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200$

Finally

$x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2$

$y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5$

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