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3 years ago

5

Give example of a function f: N-> N which is:

1 answer:

stiv31 [10]3 years ago

8 0

An injective function is not a function that is surjective. This means that you want a function that has a unique output for each input, that doesn't cover the natural numbers.
In formal terms a function [Math Processing Error] is injective if [Math Processing Error] implies [Math Processing Error].

We also know that it's not surjective because no value maps to [Math Processing Error] (or any odd number) since if [Math Processing Error], then [Math Processing Error]. However, since [Math Processing Error], the function isn't surjective.

Answer is B.
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Given the function f(x)=(x+1)^2.what is the value of f(-2)

ahrayia [7]

F(x)= (x+1)^2

f(-2)= ((-2)+1)^2

= (-1)^2
= 1

3 0

2 years ago

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How to calculate square root 1.4 without calculator

Oxana [17]

Answer:

Approximate only

Step-by-step explanation:

the perfect square smaller than 1.4 is 1, because $1^2 =1$

Take the difference between the two, 1.4 -1 = 0.4

Put the whole with 1. the part will be as follow:

$1 \frac{0.4}{double~the ~whole} =1\frac{0.4}{2}$

$=1+0.2= 1.2$

Note: just approximate!! with calculator, it is 1.18321

6 0

3 years ago

Mathematical induction of 3k-1 ≥ 4k ( 3k = k power of 3 )

tresset_1 [31]

For making mathematical induction, we need:

a base case

An $n_0$ for which the relation holds true

the induction step

if its true for $n_i$ , then, is true for $n_{i+1}$

<h3>base case</h3>

the relationship is not true for 1 or 2

$1^3-1 = 0 < 4*1$

$2^3-1 = 8 -1 = 7 < 4*2 = 8$

but, is true for 3

$3^3-1 = 27 -1 = 26 > 4*3 = 12$

<h3>induction step</h3>

lets say that the relationship is true for n, this is

$n^3 -1 \ge 4 n$

lets add 4 on each side, this is

$n^3 -1 + 4 \ge 4 n + 4$

$n^3 + 3 \ge 4 (n + 1)$

now

$(n+1)^3 = n^3 +3 n^2 + 3 n + 1$

$(n+1)^3 \ge n^3 + 3 n$

if $n \ge 1$ then $3 n \ge 3$ , so

$(n+1)^3 \ge n^3 + 3 n \ge n^3 + 3$

$(n+1)^3 \ge n^3 + 3 \ge 4 (n + 1)$

$(n+1)^3 \ge 4 (n + 1)$

and this is what we were looking for!

So, for any natural equal or greater than 3, the relationship is true.

4 0

3 years ago

Is 14,48,50 a Pythagorean triplet <br> Step by step explanation please

Svetlanka [38]

Answer:

yes

Step-by-step explanation:

If the values are a Pythagorean triplet then the square of the largest value should equal the sum of the squares of the other 2

largest value = 50 ⇒ 50² = 2500

14² + 48² = 196 + 2304 = 2500

Since 50² = 14² + 48² then 14, 48, 50 are a Pythagorean triplet

7 0

2 years ago

Read 2 more answers

here are approximately 4.2 million births in a country each year. Find the birth rate in units of births per minute.

marusya05 [52]

Answer:

8 births to 1sf

Step-by-step explanation:

4.2m births per year in unspecified country.

4.2 / 0.000365 = 11506.8493 per day

11506.8493 / 24 = 479.452054 per hour

479.452054 / 60 = 7.99086757 per minute = 8 births to 1sf

3 0

2 years ago