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3 years ago

Find the product (3x+8)(x-4)

Mathematics

2 answers:

timurjin [86]3 years ago

7 0

Answer:

3 $x^{2}$ - 4x - 32

Step-by-step explanation:

(3x+8)(x-4)

=3 $x^{2}$ -12x + 8x -32

=3 $x^{2}$ - 4x - 32

balu736 [363]3 years ago

6 0

Answer:

Step-by-step explanation:

3x^2 - 12x + 8x - 32

3x^2 - 4x -32

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The distance between-9 and 0 is 9.

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One roll of carpet covers 900 square feet. how many rolls of carpet would be needed for a room that is 40ft. x 60ft.?

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Answer:

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3 years ago

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3 years ago

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Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

$AX=B\\X=A^{-1}B$

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$

4 0

3 years ago