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Varvara68 [4.7K]
4 years ago
8

What 3.999 rounded to the nearest tenths

Mathematics
2 answers:
valentina_108 [34]4 years ago
8 0
3.999 is rounded to 4.000
fenix001 [56]4 years ago
7 0
4000 that's a weird one
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Read 2 more answers
Find a polynomial of degree 4 that has integer coefficients and zeros 3i and 4 multiplicity 2
amm1812

Answer:

f(x) = x⁴ - 8x³ + 25x² - 72x + 144

Step-by-step explanation:

f(x) = (x-4)²(x+3i)(x-3i)

     = (x²-8x+16)(x²+9)

     = x⁴ - 8x³ + 25x² - 72x + 144

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What is the median for the set of data?
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3 years ago
Find all possible values of each expression. Suppose 3
Tomtit [17]

The inequality that describes the possible values of the expression is:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

<h3>What is the lower bound of values of the expression?</h3>

The expression is given by:

\frac{b}{3a} - \frac{a}{3b}

To find the lower bound, we try to see when the expression is negative, hence:

\frac{b}{3a} - \frac{a}{3b} < 0

\frac{b}{3a} < \frac{a}{3b}

Applying cross multiplication and simplifying the 3's, we have that:

b^2 < a^2

From the bounds given, this expression will never be true, at most they can be equal, when:

a = b = 4.

Hence the lower bound of values of the expression is of 0.

<h3>What is the upper bound of values of the expression?</h3>

The expression is a subtraction, hence we want to maximize the first term and minimize the second.

Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:

  • Maximize b, hence b = 5.
  • Minimize a, hence a = 4.

Then:

\frac{b}{3a} - \frac{a}{3b} = \frac{5}{12} - \frac{4}{15} = \frac{25 - 16}{60} = \frac{9}{60}

Hence the bounds are:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

More can be learned about values of expressions at brainly.com/question/625174

#SPJ1

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