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2 years ago

Find f(4) if f(x) = x —6

Mathematics

2 answers:

Andru [333]2 years ago

5 0

Answer:

-12

Step-by-step explanation:

frutty [35]2 years ago

4 0

Use the substitution method

f(4)=4-6

=-2

Answer :-2

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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

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2 years ago

Need help with homework plz, also will give brainiest to who ever gets the question right first!

Degger [83]

Answer: x = 5/7

Step-by-step explanation:

The numerator is the power, while the denominator is the index (thing next to radical).

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2 years ago

What is the slope of the line given by the equation y = -3x?

s2008m [1.1K]

The answer to this question would be B, -3. The reason for this is because when you have an equation in slope intercept form, it would be y = mx + b. In this case your b is equal to 0 so you have only y = mx. The variable m represents the slope, which is in this case, equal to -3. Hope this helps. Please rate, leave a thanks, and mark a brainiest answer. (Not necessarily mine). Thanks, it really helps! :D

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3 years ago

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Samantha has 23 strawberries and wants to put 4 strawberries into each bowl. How many bowls can Samantha put exactly 4 strawberr

Bogdan [553]

4 cannot go into 23 equally BUT! if you do 23 divided by 4 you'll get 5.75 which rounds up to 6. So on average she'll need 6 bowls for her 23 strawberries.

Edit: It should be 5 bowls because if she wants to put an equal amount of strawberries into her bowls it should be 5.

Hope it helped. :)

<em>~Noodles~</em>

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2 years ago

Convert -2x+6y=-24 to slop intercept form

Firlakuza [10]

Answer:

y= 1/3x - 4

Step-by-step explanation:

hope this helps

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2 years ago

Find f(4) if f(x) = x —6​

Find f(4) if f(x) = x —6