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3 years ago

Please help.....25 points!!!

Mathematics

2 answers:

ryzh [129]3 years ago

5 0

Answer:

Option 3

Step-by-step explanation:

y = ⅗x - 9

Make x the subject

⅗x = y + 9

x = 5y/3 + 15

Interswitch variables

g^-1(x) = 5x/3 + 15

kenny6666 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

We want to find the inverse of g(x). One way to do this is to switch the g(x) and x in the original equation and then solve for g(x); that will give you the inverse.

Here, $g(x)=\frac{3}{5} x-9$ . Switch the g(x) and x to become: $x=\frac{3}{5} g(x)-9$ . Now solve for g(x) by isolating it:

$x=\frac{3}{5} g(x)-9$

$x+9=\frac{3}{5} g(x)$

$\frac{5}{3} * (x+9)= g(x)$

$g(x)=\frac{5}{3} x+15$

Thus, the answer is C.

Hope this helps!

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Komok [63]

Answer:

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Step-by-step explanation:

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3 years ago

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siniylev [52]

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3 years ago

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jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a Row Echelon Form, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]$

or in system form:

x + 2y + 2z = 4

y + 3z = 9

z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

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3 years ago

Justo ayer fue el cumpleaños de Mauricio. Si a la edad e Mauricio, le sumo 13, al resultado le resto 10, luego al nuevo resultad

bezimeni [28]

Answer:

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Step-by-step explanation:

Supóngase que el cumpleaños se celebra en el año 2020, si $x$ es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es: