Jacob's lunch account will deplete in 16 days while Samantha's will run out in just 2 days. Step-by-step explanation:
In order to utilize the leftover stock properly, the company must package the Zena's product, committing to include one of Xavier's product in each bundle. The Xavier set consists of one blue and one black ink refill, while the Yvonne set comprises two blue, three black, and one red ink refill, whereas the Zena set contains four blue, five black, and one red ink refill. The company has 11 blue, 14 black, and 3 red ink cartridge refills available. Thus, forming equations based on existing inventory would yield the required quantities for optimal packaging without any leftover supplies.
None of the provided options appear to be accurate. The equation resembles y = mx + b, identifying m as the slope and b as the y-intercept. Here, m = -14. Parallel lines maintain the same slope, resulting in the new line's slope of -14. To find the y-intercept, we substitute x = 4 and y = 4 into the equation. Consequently: 4 = (-14)(4) + b. By solving for b, we find b = 60. Therefore, the new line's equation is y = -14x + 60.
Clarification:
To accomplish the next steps, we simply need to determine the factors of each quadratic expression:
Factors of
:
To identify factors, we must find two numbers whose product equals 4, with a difference of 3 (the difference is crucial since both resulting factors carry opposing signs). Those numbers are 4 and 1.
So, 
The initial factor

is negative reflecting the sign of the quadratic expression's second term which is negative. The subsequent factor

is positive due to the product from the second term sign (-) and the third term sign (+).
Next, we repeat this process with
:

Finally, we substitute each factor pair with its corresponding quadratic expression as illustrated:

We can see that the Least Common Denominator is
, which incidentally turns out to be the sole common factor.
you can set this up with the equation;
x + (x + 42) = 138
start by combining like terms;
2x = 138 - 42
2x = 96
x = 96/2
x = 48
we've found x now plug it back into the original equation.
48 + (48 + 42) = 138
48 + 90 = 138
hope it helped...if you have any concerns just let me know:)