Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Answer:
1. The ratio of milk cartons taken to total milk cartons,
70 - 10 = 60 were taken
73/100 is the ratio of milk cartons taken to total milk cartons
2. The ratio of milk cartons remaining to milk cartons taken
10 / 60 is the ratio of milk cartons remaining to milk cartons take
3.75X10^5 That seems to be the answer. You could type that in your calculator to see what you get.
A variable is a symbol that’s used in a number. It typically uses a variation of letters such as x,y,etc. for instance 3x=6
