Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product p in 6 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product p in 4 days.

18 machines

Step-by-step explanation:

Data provided in the question:

It takes 4 machines 6 days to produce x units

Therefore,

it will take 4 machines 18 days to produce 3x units

let it takes Y machines 4 days to produce 3x units

Thus,

4 × (18 days) = 3x   (a)

Y × (4 days) = 3x  (b)

equating equation a and b, we get

or

4 × (18 days) = Y × (4 days)

or

Y = 18

Hence,

18 machines are required to produce a total of 3x units of product P in 4 days

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step-by-step explanation:

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a