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3 years ago

Which of the following functions is not linear?

Mathematics

2 answers:

Molodets [167]3 years ago

5 0

Hi there! The answer is A.
Graph A. is not linear because it contains x^2 and therefore is a quadratic function.

Yanka [14]3 years ago

5 0

A linear function can have terms which are made of numbers or numbers multiplied by a single variable with exponent 1 (usually not written). If you have variables multiplied together, exponents other than 1 on variables, variables in the denominator, or variables in a square root, it is not linear.
Look at the choices.
Option A. has x^2. That is not linear.
All others are linear.

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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

From the given equation

Katarina [22]

Answer:

See attached

The table:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
y | -5 | -3 | -1 | 1 | 3 | 5 | 7

The graph is pictured

The y-intercept has coordinates of (0, 1)

5 0

3 years ago

Inverse of f(x)=3/2x +6

kvasek [131]

Answer:

f(x) = (x - 6)/(3/2)

Step-by-step explanation:

7 0

3 years ago

Evaluate 3x-4y when x=5 and y=-1

balandron [24]

Answer:

19 is the answer

Step-by-step explanation:

3x - 4y

= 3 × 5 - 4 × (-1)

= 15 + 4

= 19

hope this answer will help you

8 0

3 years ago

When analyzing three linear functions, Daniel noticed that they all intersected at the point (7, 7). What conclusion can Daniel

liberstina [14]

That it has the highest y-intercept of all of the three linear functions.

(and that the question could be worded better, but don't put that in your answer)

7 0

3 years ago