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Kruka [31]
3 years ago
9

Solve the inequality x^3+4x>5x^2 please show steps and interval notation. thank you.​

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer: x\in (0,1)\cup (4,\infty)

Step-by-step explanation:

Given

In equality is x^3+4x>5x^2

Taking terms one side

\Rightarrow x^3-5x^2+4x>0\\\Rightarrow x(x^2-5x+4)>0\\\Rightarrow x(x^2-4x-x+4)>0\\\Rightarrow x(x-4)(x-1)>0\\\Rightarrow (x-0)(x-1)(x-4)>0

Using wavy curve method

x\in (0,1)\cup (4,\infty)

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3 years ago
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LaShaundra is buying fence for two triangular sections of her garden.
mixas84 [53]

Answer: 80 feet.


Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

sf=\frac{20ft}{4ft}\\sf=5ft

3. Therefore, the lenght of the side DG of the trinagle DFG is:

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4. The perimeter of the triangle DFG is:

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3 years ago
Paula ran a total of 12 miles over the course of 2 track practices. What is the unit rate?
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Step-by-step explanation:

To find the unit rate we need to divide the # of miles over the number of practices to get the # of miles ran in a single practice:

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Answer:

Principal Invested in Municipal Bonds is $16,000

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If;

Principal Invested in municipal bonds = a

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From equation 1 we have;

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By putting the values of a in Equation 2 we get;

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