Need this answer now. for brainliest a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour. use the line tool to graph the amount of liquid remaining in the vat at any hour, x.

The required function is and the graph of the function is shown below.

Step-by-step explanation:

It is given that A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

It means the initial liquid in tank is 17 gallons and rate of change is 4 gallons per hour.

y-intercept is (0,18).

Slope is -4.

The liquid in tank is defined by the function

At y=0 the tank will empty.

The x-intercept is (4.5,0).

Therefore the required function is and the graph of the function is shown below.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

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