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2 years ago

Steps ! 2(x + 4) = 4x + 3 - 2x + 5

Mathematics

1 answer:

fomenos2 years ago

6 0

Step-by-step explanation:

2x + 8 = 4x + 3 - 2x + 5

2x - 4x + 2x = 3 +5 -8

0 = 0

x = 0

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Step-by-step explanation:

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Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

$A^{-1}$ = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = $\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]$

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

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2 years ago

Plot the image of point D under a dilation about point P with a scale factor of

Vikentia [17]

It’s at point d and point p

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2 years ago

Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the stren

Slav-nsk [51]

The logarithmic model for the length when the strength is of 8 Pascals is given by:

$f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3$
That is, the length is of 3 units.

<h3>What is the function?</h3>

The strength in Pascals for a building of length x is given by:

$f(x) = 2^x$

To find the length given the strength, we apply the inverse function, that is:

$2^y = x$

$\log_{2}{2^y} = \log_2{x}$

$y = \log_2{x}$

Hence, when the strength is of 8 Pascals, $x = 8$ , and the length is given by:

$f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3$

You can learn more about logarithmic functions at brainly.com/question/25537936

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1 year ago