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Alik [6]
3 years ago
11

(a) Find the remainder when 15! is divided by 17. (b) Find the remainder when 2(26!) is divided by 29, Thatermine whether 17 is

a prime by deciding whether 16! = -1
Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

Step-by-step explanation:

a) We have 15! as the product of 1 to 15 natural numbers.  Since 17 is prime there will be no factor common to these

By actual division we find

15! (mod 17) =16

From this we deduce

even 16! mod 17 = 16 = -1

According to Wilson theorem

(17-1)! = -1 mod 17

Thus verified 17 is prime

Hence 15! (mod 17) =-1=16

-----------------------

b) 2(26!) is divided by 29

Since 29 is prime

(29-1)! = -1 mod 29

28! = -1 mod 29 = 28

When divided this gives 25 as remainder

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The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
Neko [114]

The value of f⁻¹(f(58)) is 58 and the value of the function f(f(5)) is 11

<h3>How to solve the function values?</h3>

As a general rule, we have:

f⁻¹(f(x)) = x

Substitute 58 for x

So, we have:

f⁻¹(f(58)) = 58

Hence, the value of f⁻¹(f(58)) is 58

Also, we have:

f(f(5))

From the table, we have:

f(5) = 9

So, we have:

f(f(5)) = f(9)

From the table, we have:

f(9) = 11

So, we have:

f(f(5)) = 11

Hence, the value of the function f(f(5)) is 11

Read more about invertible function at:

brainly.com/question/14391067

#SPJ1

7 0
2 years ago
Helpppppppppppppoppppp
STALIN [3.7K]

Answer:

it would be 75

Step-by-step explanation:

if add 10+ 10+ 30 + 25 its would be 75

3 0
3 years ago
If A = {2, 4, 6, 8, 10} and B = {4, 8, 10}, then which of the following statements is false?
Mashutka [201]
A C B is false. because A is a larger set than B it can't be a subset
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if mary's home is worth $78,900 what is her coverage for landscaping and trees if insurance covers 5 percent?
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3945,multiply 78,900 by .05
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3 years ago
What does 4.87×10^12 equal?
Svetllana [295]
I hope this helps you





487/100×10^12




487×10^-2×10^12



487×10^10
7 0
3 years ago
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