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3 years ago

Determine the domain of the function. f as a function of x is equal to thirteen divided by three minus x.

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

Answer:

hello :

f(x) = 13/ (x-3)

f(x) exist : x - 3 ≠ 0

x - 3 = 0 : x = 3

the domain of the function : f is D = ]-∞:3[ U] 3;+∞[

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A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0

pogonyaev

Answer:

The quantity of natural numbers between $a^{2}$ and $c^{2}$ is $2\cdot (a + b) + 1$ .

Step-by-step explanation:

If $a^{2}$ , $b^{2}$ and $c^{2}$ are consecutive perfect squares, then both $a$ , $b$ and $c$ are natural numbers and we have the following quantities of natural numbers:

Between $b^{2}$ and $c^{2}$ :

$c^{2} = (b+1)^{2}$

$c^{2} = b^{2}+2\cdot b + 1$

$c^{2}-b^{2} = 2\cdot b + 1$

And the quantity of natural numbers between $b^{2}$ and $c^{2}$ is:

$c^{2}-b^{2}-1 = 2\cdot b$

Between $a^{2}$ and $b^{2}$ :

$b^{2} = (a + 1)^{2}$

$b^{2} = a^{2} +2\cdot a + 1$

$b^{2}-a^{2} = 2\cdot a + 1$

And the quantity of natural numbers between $a^{2}$ and $b^{2}$ is:

$b^{2}-a^{2}-1 = 2\cdot a$

And the quantity of natural numbers between $a^{2}$ and $c^{2}$ is:

$Diff = 2\cdot a + 2\cdot b + 1$

Please observe that the component +1 represents the natural number $b^{2}$

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3 years ago

Bass Pro has a sale on boats! Just what you have always wanted and it is $3000 cheaper than it usually

seraphim [82]

Answer:

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Step-by-step explanation:

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4 years ago

Which ordered pair is NOT a solution to the inequality in the graph?

aalyn [17]

Given:

The inequality is

$y\leq 3x+2$

To find:

The ordered pair that is NOT a solution to the inequality in the graph.

Solution:

We have,

$y\leq 3x+2$

Checking the inequality for (0,0), we get

$0\leq 3(0)+2$

$0\leq 2$

So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.

Checking the inequality for (-2,-4), we get

$-4\leq 3(-2)+2$

$-4\leq -6+2$

$-4\leq -4$

So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.

Checking the inequality for (0,2), we get

$2\leq 3(0)+2$

$2\leq 2$

So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.

Checking the inequality for (-3,4), we get

$4\leq 3(-3)+2$

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This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.

Therefore, the correct option is D.

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3 years ago

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Answer:

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3 years ago

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labwork [276]

Answer:

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Step-by-step explanation:

9 * 10^12 ÷ 4.5 × 10^12

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Divide the exponents by subtracting

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Put them back together

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4 years ago