A) Write the following in standard form and find A, B and C

Mathematics

1 answer:

alex41 [277]3 years ago

5 0

Answer:

a) 2x -y = -5; A=2, B=-1, C=-5
b) y = 2x +5

Step-by-step explanation:

a) Standard Form is ...

Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

(2x -5) -2x = (2x -5) -y +5

-5 = 2x -y

Then we can swap sides of the equal sign:

2x -y = -5 . . . . . . standard form

Matching this to the generic standard form equation, we find ...

A = 2

B = -1

C = -5

b) We can solve for y by adding 2x+y to both sides of the equation:

(2x +y) -2x = (2x +y) -y +5

y = 2x +5 . . . . . . slope-intercept form

You might be interested in

Please please please help me I’ll give brainly

Afina-wow [57]

Answer:

I think its the third one

Step-by-step explanation:

3 0

2 years ago

A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not

GREYUIT [131]

All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If $x_i$ is the component for state $i$ , then you have

$x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16$

which means $x_2=4x_4=0.64$ . So the state vector is $\mathbf x=(0.2,0.64,0,0.16)$ .