The solution to the problem is as follows:
Since -1/2 is the greatest common factor of the two terms,
(-1/2)x + 6 = (-1/2) (x - 3)
The factored form therefore is (-1/2) (x - 3). I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
<h2>V = x³ + 54x² + 936x + 5,184</h2>
Step-by-step explanation:
<h3 /><h3>If we add a value of 'x' to each side of the box, the new dimensions can be represented as</h3><h3>x + 24</h3><h3>x + 12 and </h3><h3>x + 18</h3><h3 /><h3>To find the volume of the new box, multiply all of the dimensions together</h3><h3 /><h3>V = (x + 24)(x + 12)(x + 18) </h3><h3> Foil the first and second binomial....</h3><h3 /><h3>V = (x² + 36x + 288)(x + 18)</h3><h3> Now multiply the two polynomials together...</h3><h3 /><h3>V = x²(x) + 36x(x) + 288x + x²(18) + 36x(18) + 288(18)</h3><h3 /><h3>V = x³ + 36x² + 288x + 18x² + 648x + 5,184</h3><h3 /><h3>which simplifies to</h3><h3 /><h3>V = x³ + 54x² + 936x + 5,184 where x represents the increase in inches</h3>
The problem belongs to indirect variation.
formula for indirect variation is 
we have 

we know that 

now we need find
when 


If we draw a parallelogram so that the top left point is A, the top right is B the bottom right is c and the bottom left is D and do WXYZ in the same order with the larger parallelogram with the same shape, then WZ would be proportional to AD.
Answer: y = -2x + 1 1/6
Steps:
2x + 6y = 7
2x + y = 7/6
y = 7/6
y = -2x + 7/6
y = -2x + 1 1/6