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Maslowich
4 years ago
6

Ay I need help on dis question please

Mathematics
1 answer:
kondor19780726 [428]4 years ago
7 0

Step-by-step explanation:

f(x) = (x + 3)^(1/3)

We notice that f(x) is a strictly increasing function.

Hence,

Minimum value of f(x) is when x = -11,

f(x) = (-11 + 3)^(1/3) = -2.

Maximum value of f(x) is when x = 5,

f(x) = (5 + 3)^(1/3) = 2.

P.S. You can differentiate f(x) to show that it is an increasing function.

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Method 1:

4\dfrac{2}{5}=4\dfrac{2\cdot2}{5\cdot2}=4\dfrac{4}{10}=4.4\\\\4\dfrac{2}{5}\cdot16.5=4.4\cdot16.5=72.6


Method 2:

16.5=\dfrac{165}{10}=\dfrac{165:5}{10:5}=\dfrac{33}{2}\\\\4\dfrac{2}{5}=\dfrac{4\cdot5+2}{5}=\dfrac{22}{5}\\\\4\dfrac{2}{5}\cdot16.5=\dfrac{22}{5}\cdot\dfrac{33}{2}=\dfrac{11}{5}\cdot\dfrac{33}{1}=\dfrac{363}{5}=72\dfrac{3}{5}

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