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sammy [17]
2 years ago
7

-30<x/-4 answer must be simplified ​

Mathematics
1 answer:
Shtirlitz [24]2 years ago
6 0

Answer:

x<120

Step-by-step explanation:

-30<x/-4

In order to simplify this, we must isolate the x value by multiplying both sides by -4

Since we are dealing with inequalities and we are multiplying by a negative number, we have to switch the sign (<,>)

-30(-4)>x

x<120

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Consider the system of equations.
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The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Find the determinant of \left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]

\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle  = 4

\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12

\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8

x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3

y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: brainly.com/question/4428059

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A bag contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food 1 point
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Step-by-step explanation:

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Un bosque de 2 km2 está formado por hayas y pinos. Las hayas ocupan 380.000 m2 ¿Cuántos metros cuadrados ocupan los pinos?
Ivanshal [37]

Answer:

Los pinos ocupan \\ 1620000m^{2} o <em>1 millón seiscientos veinte mil metros cuadrados</em>.

Step-by-step explanation:

Una manera de resolver este problema es la siguiente:

\\ 1km^{2} = 1km * 1km = 1000m * 1000m = 1000000m^{2}

\\ 2km^{2} = 2km * 1km = 2000m * 1000m = 2000000m^{2} = 2 * 10^{6}m^{2}

En palabras, \\ 2km^{2} = 2000000m^{2}, o <em>dos kilómetros cuadrados</em> son iguales a <em>2 millones de metros cuadrados</em>.

Sabemos que:

  1. Estos \\ 2km^{2} = 2000000m^{2} de bosque lo ocupan hayas y pinos, y, adicionalmente,
  2. Las hayas ocupan \\ 380000m^{2}.

De esta manera, <em>la parte que ocupan los pinos es el total del bosque menos el área ocupada por las hayas</em>. Por lo tanto, el área ocupada por los pinos es:

\\ 2000000m^{2} - 380000m^{2}

\\ 1620000m^{2}

¿Cuántos metros cuadrados ocupan los pinos?

Los pinos ocupan, entonces, \\ 1620000m^{2} o <em>1 millón seiscientos veinte mil metros cuadrados</em>.

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3 years ago
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