3 years ago

If A = 3x2 + 5x - 6 and B = 2x2 + 4x + 7, then A + B equals

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

5 0

Answer:

5x² + 9x + 1

Step-by-step explanation:

Given:

A = 3x² + 5x - 6

B = 2x² + 4x + 7

A + B:

3x² + 5x - 6 + 2x² + 4x + 7

(3x² + 2x²) + (5x + 4x) - 6 + 7

5x² + 9x + 1

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Rzqust [24]

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:

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

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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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3 years ago

A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. W

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