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meriva
3 years ago
10

A total of 28 students have entered a spelling contest there are 6 medal for first through sixth place that will be awarded. In

how many different ways can the medals be awarded? A. 178,340 B. 376740 C. 271252800 D. 96860
Mathematics
2 answers:
OLEGan [10]3 years ago
8 0
Since the order of the students selected is important in this item, the concept used for this question is that of the permutation. For this item it is the "permutation of 28 taken 6". This may be mathematically expressed as 28P6. The numerical answer is 271252800. Thus, the answer is letter C. 
Rudik [331]3 years ago
5 0
To find the number of ways the medals can awarded,we can use permutation.
since the order is important we want to put 6 people in order from 28
No of ways=28 P 6
=28x27x26x25x24x23
=271252800
So the best option is C.
I hope this will work
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F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte
Mekhanik [1.2K]

Answer:

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(c) No inflection point; concave up on (0, ∞)

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ƒ(x) = x² - x – lnx

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Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

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Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

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ƒ'(x) > 0 so the function is increasing on (1, ∞).

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ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

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There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

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