All categories

3 years ago

Are the functions linear or nonlinear?

Mathematics

2 answers:

inna [77]3 years ago

5 0

Linear. They all follow the format y=mx+c wether or not they have been rearranged.

Alecsey [184]3 years ago

4 0

They are all linear bcz x and y have powers 1 if there had been y^2 or x^2 or 3 it would have been no more linear

You might be interested in

When subtracted, what is the simplified form of (54 - 27i) - (39 + 5i)? Write the answer in standard form, a + bi, where a and b

jasenka [17]

The answer is choice D because if you combine the like terms, you get 15-23i

i hope that helps!!!!

7 0

3 years ago

Read 2 more answers

The sum of two numbers is 21 the second number is six times the first number.work out the two numbers

kiruha [24]

Answer: First number 3 Second 18

Step-by-step explanation:

3 0

2 years ago

A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0

2 years ago

at tennis practice, tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his s

earnstyle [38]

For the answer to the question above, Tim practices his backhand and his serve at least 2 hours each day this means X =< 2 ( less than or equal to 2 hrs). He works less on his backhand than his serve and practices his serve more than an hour daily. <span>Y < 1</span>

3 0

2 years ago

7/8 - 3/64 give your awnser in its simplest form

prisoha [69]

Answer: to

this answer is attached to the picture

3 0

3 years ago

Read 2 more answers