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natulia [17]
3 years ago
5

F(x) = -4x + 15 solve

Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer:

x=15/4

Step-by-step explanation:

add 4x to the other side then divide both sides by 4

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Which equation best represents the data shown in the scatter plot below?
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Answer:

Step-by-step explanation:

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3 years ago
Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me
Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

V= \pi r^2 h

Thus that way we will find the amount of metal that makes up the can.

Finding the differential.

A small change in volume is given by:

dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr

So finding the partial derivatives we get

dV =\pi r^2 dh + \pi 2r h dr

dV =\pi r^2 dh + 2\pi r h dr

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

dV =\pi 5^2 (0.6) + 2\pi (5) (26) (0.05)

That give us

V= 28 \pi  \, cm^3

Or in decimal value

\boxed{dV= 87.96 \, cm^3}

Thus the volume of metal in the can is 87.96 cubic cm.

6 0
4 years ago
Find the midpoint of (6, 4), and (0,2).
Gnesinka [82]

Answer:

(3,3)

Step-by-step explanation:

Using the midpoint formula:

m=\left( \dfrac{6+0}{2},\dfrac{4+2}{2} \right)=\left( \dfrac{6}{2},\dfrac{6}{2} \right)=(3,3)

Hope this helps!

8 0
3 years ago
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Graph the quadratic and step by step please y=x^2+1​
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Please Help! <br> Factor the expression:<br> x2 − 28x + 52
Drupady [299]

Answer:

(x-2)(x-26)

Step-by-step explanation:

x^2-2x-26x+52

x(x-2)-26(x-2)

(x-2)(x-26)

8 0
3 years ago
Read 2 more answers
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