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2 years ago

Which of the following equations represent nonlinear functions?

Mathematics

1 answer:

s2008m [1.1K]2 years ago

3 0

y=5x^2+7 is Non-Linear Functions

Option B is correct option.

Step-by-step explanation:

We need to identify Non-Linear Functions from the equations given.

First we will define Non-Linear Functions

Linear Functions

A function having exponent of variable equal to 1 or of the form y=c, where c is constant is called linear function.

Non-Linear Functions

A function that has variable having power greater than 1 (i.e 2 or above) is called non-linear function.

So, from all the options given, only Option B has power greater than 1 i.e 2. All remaining options are linear functions.

So, y=5x^2+7 is Non-Linear Functions

Option B is correct option.

Keywords: Linear and Non-Linear Functions

Learn more about Linear and Non-linear functions at:

#learnwithBrainly

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Read 2 more answers

Find the 61st term of -12, -28, -44,

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$a_{61}=-972$

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$

Where

an = nth term

a1 = first term

r = common difference

n = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

$a_{61}=-12+(61-1)(-16)$

$a_{61}=-12-60*16=-12-960$

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