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sergij07 [2.7K]
3 years ago
5

Which of the following represents 4x^5/6 in radical form

Mathematics
1 answer:
mash [69]3 years ago
6 0
Remember, order of operations
exponent before multiply

so 4x^5/6=4 times x^5/6
simplify the x^5/6 first

remember
x^\frac{m}{n}=\sqrt[n]{s^m}

so
x^\frac{5}{6}=\sqrt[6]{x^5}

so
4x^\frac{5}{6}=4\sqrt[6]{x^5}
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Which system of inequalities is represented by the graph?
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The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

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∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

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- The shading is under the line and the line is solid, that means

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∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

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∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

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∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

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- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

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