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just olya [345]
3 years ago
6

Rewrite the fraction as a decimal. -82/5

Mathematics
2 answers:
harina [27]3 years ago
8 0
Rewrite the fraction

- 82/5

as a decimal.

First, express it as a mixed number.

5 goes 16 times into 82, because 16 * 5 = 80, and you have a remainder of 2. So

- 82/5

= - [ 80/5 + 2/5 ]

= - [ 16 2/5 ]

= - [ 16 + 2/5 ]

Now, multiply both numerator and denominator of that proper fraction by 20, so you get a new fraction whose denominator is a power of ten (100 in this case):

= - [ 16 + (2 * 20)/(5 * 20) ]

= - [ 16 + 40/100 ]

But.40/100 = 0.4. So it is

= - [ 16 + 0.4 ]

= - 16.4 <----- this is the answer.

I hope this helps. =)
dlinn [17]3 years ago
3 0
You can just multiply the top and the bottom by 2, to get the bottom to be 10. So you get -164/10. From here you can see that 10 goes into 164,16.4 times. 

Therefore, -82/5 = -16.4

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8! / [4! * 4!]

= 8*7*6*5 / 4*3*2*1 = 70 ways

Then we have to calculate how many permutations can be made from 4 objects which equals 4*3*2*1 = 24

So, the TOTAL number of ways = 70 * 24 = 1,680


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Which of the following is an odd function
nika2105 [10]

Given the functions

(a) f(x) = x³ + 5x² + x

(b) f(x) = x² + x

(c) f(x) = -x

Function (a)

f(-x) = (-x)³ + 5(-x)² + (-x)  

      = -x³ + 5x² - x

      = -(x³ - 5x² + x)

The function is neither even nor odd.

Function (b)

f(-x) = (-x)² + (-x)

       = -(-x² + x)

The function is neither even nor odd.

Function (c)

f(-x) = -(-x)  

      = x

      = -f(x)

Because f(-x) = -f(x) the function is odd.

Answer: f(x) = -x is an odd function.

5 0
3 years ago
Which piecewise function is shown in the graph?
mash [69]

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b     (1)

Where:

  • x - Independent variable.
  • y - Dependent variable.
  • m - Slope
  • b - Intercept

By direct observation and by applying (1) we have the following <em>piecewise</em> function:

f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0
2 years ago
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