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stepladder [879]
2 years ago
12

What is the solution of 3+ x-2/x-3 less than or equal to 0

Mathematics
1 answer:
bagirrra123 [75]2 years ago
4 0

Answer:

The solution set consists of all the real numbers smaller than or equal to 11/4:

x\leq \frac{11}{4}

Step-by-step explanation:

We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:

3+\frac{x-2}{x-3} \leq 0\\\frac{x-2}{x-3} \leq -3\\x-2\leq -3\,(x-3)\\x-2\leq -3x+9\\x+3x\leq 9+2\\4x\leq 11\\x\leq \frac{11}{4}

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3 years ago
A garden has an area of 286ft. It’s length is 9ft more than it’s width. What are the dimensions of the garden?
Gelneren [198K]

Answer:

13

Step-by-step explanation:

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3 years ago
The diameter of a cylindrical construction pipe is 4ft If the pipe is 17ft long, what is its volume? Use the value 3.14 for /pi,
Leya [2.2K]

Answer:

213.52 cubic ft

Step-by-step explanation:

Diameter of pipe = 4ft

radius for circle is half of diameter

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volume of cylinder is given by \pi r^2l

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thus volume of pipe is calculated below using above values

volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe =  213.52

volume of pipe is 213.52 cubic ft.

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3 years ago
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