I don't get this question lol

Mathematics

2 answers:

Leni [432]3 years ago

6 0

The input in this case it x. So basically the resulting function would be:
f(x) = -1/2 x +3

So then just plug in each x input in the table, and plot the points on the x-y coordinate plane:

x y
-4 5
-2 4
0 3
2 2
4 1

zloy xaker [14]3 years ago

4 0

Basically, the inputs are the x values on the table. Plug those into the function. "Multiply the input by -1/2, then add 3" translates to -1/2(x) + 3.

If you would like me to actually put the answers down, then I'll put them in the comments after you request them.

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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po

Mariana [72]

Answer:

The work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

Step-by-step explanation:

The work is defined by:

$W=\int dFdx$ (1)

The force here will be the product between the volume and the kerosene weighing, so we have :

$dF=\pi R^{2}dy*50$

This force will be in-lbs.

Where R is the radius (3 feet)

Then using (1), we have:

$W=\int \pi R^{2}dy*50(8-y)$

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

$W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)$