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3 years ago

Negative ten is no less than two times a number plus fourteen.

Mathematics

1 answer:

masha68 [24]3 years ago

3 0

Answer:

i this like true or false,if so its true

Step-by-step explanation:

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Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n - 1 b) f(n) = n2 + 1 c) f(n) = nº d) f(n) = [n/

sesenic [268]

Answer: The correct option is

(a) f(n) = n - 1.

Step-by-step explanation: We are given to determine whether the given functions are one-to-one or not.

We know that a function y = f(x) is one-to-one if and only if

f(x) = f(y) ⇔ x = y.

That is, any two distinct elements cannot have the same image.

(a) The given function is

$f(n)=n-1.$

Let us consider that

$f(n_1)=f(n_2)\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow n_1=n_2.$

Similarly,

$n_1=n_2\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow f(n_1)=f(n_2).$

So, this function is one-to-one.

(b) The given function is

$f(n)=n^2+1.$

Let us consider that

$f(n_1)=f(n_2)\\\\\Rightarrow n_1^2+1=n_2^2+1\\\\\Rightarrow n_1^2=n_2^2\\\\\Rightarrow n_1=\pm n_2.$

That is, there may be two unequal elements having same image.

For example, f(-1)=(-1)²+1=1+1=2, f(1)=(1)²+1=1+1=2.

It implies that f(-1)=f(1) but 1 ≠ -1.

So, the given function is not one-to-one.

(c) The given function is

$f(n)=n^0.$

Here, the image of all the elements is 1.

For example, $f(2)=2^0=1,~~f(3)=3^0=1.$

f(2)=f(3) but 2≠3.

So, more than one element is having the same image and so the function cannot be one-to-one.

(d) The given function is

$f(n)=\left[\dfrac{n}{2}\right].$

Here, we see that

$f(2)=\left[\dfrac{2}{2}\right]=[1]=1,\\\\\\f(3)=\left[\dfrac{3}{2}\right]=[1.5]=1.$

So, f(2)=f(3) but 2≠3.

So, the given function is not one-to-one.

Thus, the correct option is (a).

5 0

4 years ago

What is the length of the tree? Show steps!

Leona [35]

Answer:

The tree is 14 ft. tall.

Step-by-step explanation:

If Ryan is 6 ft. tall and his shadow is 12 ft. tall than his shadow is twice his size. So if the trees shadow is 28 ft. tall then you would divide. Here is the equation:

28 ÷ 2 = 14

To check our work you would do 14 * 2 = 28.

Hope this helps!!

8 0

4 years ago

Is my answer correct? If not could you plz show the explanation of how to solve some might think it’s easy !!!

Monica [59]

Answer:

Step-by-step explanation:

( 50 / 5² )² ÷ 4 (by PEDMAS, do the terms inside the parentheses first)

= [ (5 · 10) / (5 · 5) ]² ÷ 4 (the 5's cancel out in the numerator and denominator)

= [ (10) / (5) ]² ÷ 4

= [ 2 ] ² ÷ 4

= 4 ÷ 4

= 1

Hope this helps

7 0

4 years ago

T + 3t - 7 = 4t - 7???

kupik [55]

$t+3t-7=4t-7\\\\4t-7=4t-7\ \ \ \ \ |subtract\ 4t\ from\ both\ sides\\\\-7=-7-TRUE\\\\infinitely\ many\ solutions;\\each\ number\ is\ a\ root\ of\ the\ equation\\\\t\in\mathbb{R}$

6 0

3 years ago

Read 2 more answers

According to the diagram, point B lies on how many faces of the pyramid?

Scrat [10]

Answer:

POINT B LIES ON FOUR FACES OF THE PYRAMID

Step-by-step explanation:

A PYRAMID HAS FIVE FACES IN THAT FOUR ARE TRIANGLE ONE IS SQUARE AS POINT B LIES AT THE TOP OF FOUR TRIANGLES WE CONSIDER AS IT LIES ON FOUR FACES OF A PYRAMID

I'VE TRYED MY LEVEL TO HELP YOU ONLOCK A STAR AND ADD ME AS BRAINLIEST

6 0

3 years ago