Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given objective fu

Y = 12x - 40

the x variable denotes the total number of hours Sam spends working at the airport
the y value signifies how much money Sam has after compensating Daniel
the 12 represents the amount Sam earns per hour in dollars
the 40 indicates the dollar amount Sam owes to Daniel

$200 was the original amount before any discounts, and he paid $136.

Answer: The unknown values x and y correspond to 8 and 20, specifically;

(x, y) = (8, 20)

Step-by-step explanation: The equation y = 16 + 0.5x represents a linear relationship that can be illustrated with a graph. This indicates that values for x and y can be located at various points on the line.

The ordered pairs signify that for each x value, there exists a matching y value.

The values listed in a two-column format for x and y all fulfill the equation y = 16 + 0.5x. Observing the first example, the pair (-4, 14) is presented.

This reveals that when x is -4, y will be 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 - 2

y = 14

Thus, the first pair, similar to the other pairs, satisfies the equation.

Consequently, by reviewing the options provided, we can deduce which one fulfills the equation.

(option 1) If x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) If x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) If x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

Our calculations confirm that the third option (8, 20) is the correct ordered pair for x and y.

Hello!

(x+a)·(x+b) equals x²+xa+xb+ab which simplifies to x²-12x-45

x² equals x²
xa+xb can be expressed as (a+b)x = -12x thus, (a+b) = -12
ab equals -45

Under what conditions do (a+b) equal -12 and ab equal -45?

+3-15 results in -12 while (+3)(-15) gives -45
-3-15 yields -18 and (-3)(-15) results in +45
+3+15 produces +18 and (+3)(+15) also equal to +45
-3+15 equals +12 and (-3+15) results in -45

Conclusion:

(x+3)(x-15) 

Respuesta:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Explicación paso a paso:

Para identificar las brocas existen dos aspectos a considerar:

1.- Las fracciones que comparten el mismo denominador aumentan en orden ascendente a medida que los numeradores incrementan, lo que significa que entre

9/16   3/16    7/16     5/16   11/16    el orden sería (de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Fracciones con diferentes denominadores pueden convertirse a un denominador común /16 multiplicando la fracción, por ejemplo

1/4   =  1*4/4*4   =  4/16

Aplicando este método, todas las fracciones se transforman al formato mencionado previamente y se organizan

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Por lo tanto, hay diez brocas, comenzando con 1/16 hasta la número 12 que es 12/16

Finalmente, el orden sería:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16