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3 years ago

What is linear and non-linear?

2 answers:

8 0

Linear means that the variable only is to the first power. Non-linear means that the variable has a power of more than one.

For example, a linear variable could look like $x^{1}$ or $x$ and a non-linear variable could look like $x^{2}$ or $x^{3}$

bagirrra123 [75]3 years ago

4 0

Answer:

<em>The word 'linear' means something having to do with a line.On a Cartesian Plane, a linear function is a function where the graph is a straight line. The line can go in any direction, but it's always a straight line. A non-linear function has a shape that is not a straight line.</em>

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2 years ago

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3 years ago

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dsp73

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2 years ago

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Evaluate (3.5×10^13)-(1.4×10^12)/3×10^9

maw [93]

Answer:

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Step-by-step explanation:

At first we use "BODMAS" rule.

Given,

(3.5×10^13)-(1.4×10^12)/3×10^9

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Use "Number" instead of "general" in the excel sheet. You can use calculator too.

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2 years ago

Let n be a natural number. Show that 3 | n3 −n

Vladimir [108]

Let $n=1$ . Then $n^3-n=1^3-1=0$ . By convention, every non-zero integer $n$ divides 0, so $3\vert n^3-n$ .

Suppose this relation holds for $n=k$ , i.e. $3\vert k^3-k$ . We then hope to show it must also hold for $n=k+1$ .

You have

$(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)$

We assumed that $3\vert k^3-k$ , and it's clear that $3\vert 3(k^2+k)$ because $3(k^2+k)$ is a multiple of 3. This means the remainder upon divides $(k+1)^3-(k+1)$ must be 0, and therefore the relation holds for $n=k+1$ . This proves the statement.

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2 years ago