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3 years ago

F(x)=5x^3-2x^2-3x Polynomial factoring

Mathematics

1 answer:

kondor19780726 [428]3 years ago

3 0

$f(x)=5x^3-2x^2-3x=x(5x^2-2x-3)\\\\5x^2-2x-3=5x^2-5x+3x-3=5x(x-1)+3(x-1)=(x-1)(5x-1)\\\\f(x)=x(x-1)(5x-1)$

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Can someone help me plz

viva [34]

The side length of the square base is 18 inches and the height of the pyramid is 9 inches.

Step-by-step explanation:

Step 1:

The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and $\frac{1}{3}$ .

The volume of a square pyramid, $V = a^{2} \frac{h}{3}.$

Step 2:

From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.

The height of the pyramid is from the base to the top, h = $\frac{x}{2}$ inches .

The volume of a square pyramid, $V = 972.$

Substituting the known values, we get

$972 = (x)^{2} (\frac{x}{2}) (\frac{1}{3} ) = \frac{x^{3} }{6} .$

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So x is 18 inches long.

The side length $= x = 18$ inches.

The height of the pyramid $= \frac{x}{2} = \frac{18}{2} = 9$ inches.

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4 years ago

What is twenty six times thirty seven

insens350 [35]

Twenty six times thirty seven is 962

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3 years ago

A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

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Applying implicit differentiation, the rate of change is given by:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

In this problem, we have that:

$\frac{dV}{dt} = 500, r = 70$

Hence the rate of change of the radius is given as follows:

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$\frac{dr}{dt} = 0.0081$

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

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2 years ago

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kompoz [17]

Answer:

Step-by-step explanation:

Two similar triangles.

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3 years ago

Find m<1 and m<2. Justify your answer.

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Answer:

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Step-by-step explanation:

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