Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coef

C. -31m⁴n - 8m²Step-by-step explanation:Given:(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)Required:Identify an equivalent expression for itSolution:Distributing the negative sign across the parentheses results in:9mn - 19m⁴n - 8m² - 12m⁴n - 9mnNext, we combine like terms:9mn - 9mn - 19m⁴n - 12m⁴n - 8m²This simplifies to -31m⁴n - 8m²Thus, -31m⁴n - 8m² is the equivalent expression for (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn).

Al establecer un sistema de ecuaciones lineales, se determina que el total de obreros que contrató el ingeniero civil es 50.

Para descubrir cuántos obreros fueron contratados, se debe formular un sistema de ecuaciones lineales con dos ecuaciones y dos incógnitas, de la siguiente manera:

  (1)

  (2)

Donde:

M: representa la incógnita correspondiente al capital del ingeniero

x: simboliza la incógnita que denota el total de obreros

De la ecuación (1) podemos deducir:

  (3)

Utilizando la ecuación (3) en la ecuación (2) podríamos calcular el valor de x (número de obreros):

El monto inicial del ingeniero, según la ec (3), sería:

Por lo que, el número de obreros contratados por el ingeniero es 50.

Si quieres conocer otro método para resolver sistemas de ecuaciones lineales, puedes ingresar aquí:

                                                                                         

Espero que esto te ayude!

Adult tickets sold = 75, Students = 200, Children = 75. To find the values, we use the variables for adult tickets, students, and children and set a series of equations based on the total tickets sold and both the pricing and quantity, leading to a solution of ticket counts.

The dimensions are 58 ft × 58 ft. Step-by-step explanation: Let the length of the region be represented as x feet, and the width as y feet. Given a perimeter of 234 feet, the area A can be represented as xy. By differentiating the equation with regards to x, we can determine the point of maximum area, revealing that for x = 58.5 feet, the area's maximum occurs when both dimensions are 58.5 ft.

Answer:

Quotient:

Refer to the attached document.

Step-by-step explanation:

Provided:

A rational expression is provided, and we need to compute the quotient.

We will utilize long division to obtain the quotient.

Initially, we eliminate by

) (

Thus, the result of the division is