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bezimeni [28]
3 years ago
14

What’s The definition of linear and nonlinear in Math

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

Functions can be classified in two different categories: linear or nonlinear. A simple way to know differentiate between the two is to look at the output values when plugging in a number for an unknown variable. If the output values have a difference that is constant, then the function will be classified as a linear equation; however, if the outputs do not have a constant difference then it will be classified as a nonlinear equation.

Another easy way to determine which of these functions you are dealing with is to graph it. By graphing these functions, you can tell if the line is straight or not. When graphed, a linear equation will have a straight line that has a constant slope. In contrast to this, a nonlinear equation will have a graph that does not have a straight line and, depending on the function, can have many different appearances including a U-shape or an S-shape.

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Given expression : \frac{9}{4}-2(4x+\frac{4}{3} )+\frac{5}{2}x    ......[1]

Using distributive property:  a\cdot (b+c) =a\cdot b + a\cdot c

[1]⇒   \frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x

Simplify:

\frac{9}{4} - 8x - \frac{8}{3}+\frac{5}{2}x

Like terms are those terms which are same variables.

Combine like terms: we get;

(\frac{9}{4} - \frac{8}{3}) - 8x + \frac{5}{2}x            ......[2]

\frac{27-32}{12} -8x +\frac{5}{2} x

Simplify:

\frac{-5}{12} -8x +\frac{5}{2}x  

or

\frac{-5}{12} - \frac{11}{2}x  

we can write equation [2] as;

\frac{27}{12} - \frac{8}{3} - 8x + \frac{5}{2}x

Combine like terms of x variables;

\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x

Therefore, the expressions which are equivalent to the Given expression are:

\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x

\frac{-5}{12} -8x +\frac{5}{2}x  

\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x

\frac{-11}{2}x - \frac{5}{2}





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Answer:

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Step-by-step explanation:

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p+1 = 12

Subtract 1 from each side

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p =11

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Answer:

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Step-by-step explanation:

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