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3 years ago

How to factor the function: f(x)= 2x^3+14x^2+24x

Mathematics

1 answer:

larisa [96]3 years ago

5 0

We first an take out a factor of 2x
2x(x^2 + 7x + 12)
Then factor inside the brackets
2x(x+4)(x+3)

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Two are used to fill the swimming pool.Pipe A alone fill the tank in 4 hours and pipe B fill the tank in 4 hours.If both pipe s

MrMuchimi

Answer:

The pipe A will fill the pool in 2.25 hours and the pipe B will fill the pool in 1.75 hours.

Step-by-step explanation:

Pipe A alone can fill the pool in 4 hours.

So, in 1 hour it fills $\frac{1}{4}$ part of the pool.

and in 30 minutea it fills $\frac{1}{8}$ part of the pool.

If the pipe B is opened after 30 minutes the pipe A opened.

So, $(1-\frac{1}{8} ) =\frac{7}{8}$ part of the pool is filled by both the pipe.

Again, pipe B alone fills the pool in 4 hours.

Hence, if both the pipes are open then they will fill in one hour $(\frac{1}{4} +\frac{1}{4}) =\frac{1}{2}$ part of the pool.

So, the remaining $\frac{7}{8}$ part of the pool will be filled by both the pipe in $\frac{\frac{7}{8} }{\frac{1}{2} } =\frac{7}{4}$ hours i.e. 1.75 hours.

Therefore pipe A will fill the pool in (0.5 + 1.75) =2.25 hours and pipe B will fill the pool in 1.75 hours. (Answer)

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3 years ago

Mr. Roboto has bought a can of paint can you use 3/8 of it to paint a bookshelf in use 1/4 of its pink leg and he used some of i

NNADVOKAT [17]

Answer: Fraction of paint used for bird house = $\dfrac14$

Step-by-step explanation:

Let quantity of the total paint be 1.

Given: Fraction of paint to book shelf = $\dfrac38$

Fraction of Paint to leg = $\dfrac14$

Fraction of Paint left = $\dfrac18$

Let x= fraction of paint used for bird house.

Total paint = $\dfrac38 +\dfrac 14+\dfrac18+x=1$

$\Rightarrow\ \dfrac{3+2+1}{8}+x=1\\\\\Rightarrow\ \dfrac{6}{8}+x=1\\\\\Rightarrow\ x=1-\dfrac68\\\\\Rightarrow\ x=\dfrac{2}{8}=\dfrac14$

So, Fraction of paint used for bird house = $\dfrac14$

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Step-by-step explanation:

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3 years ago

A telephone pole casts a shadow that is 29 m long. Find the height of the telephone pole if a statue that is 38 cm tall casts a

Bezzdna [24]

The height of the telephone pole is 141.28

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4 years ago

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