Which linear function represents the line given by the point-slope equation y + 1 = -3(x

3. Find a solution to the following system of equations. -3x + 3y = -9 -3x + y = 7

Alex Ar [27]

Answer:

x = 5

y = 2

Step-by-step explanation:

-3x + 3y = -9

3y = 3x - 9

Equation 1. y = x - 3

-3x + y = 7

Equation 2. y = 3x + 7

So, put number 1 equation to number 2's y :

x - 3 = 3x + 7

x -3x = 7 + 3

-2x = 10

2x = 10

x = 10/2

x = 5

And, put x, which is 5 , to the any equation to figure out the y.

This time, I'll use equation number 1.

y = 5 - 3

y = 2

3 0

3 years ago

what is the equation of a line parallel to the line 2x-3y=6 and that passes through the point (-6,12)

Brrunno [24]

Hello from MrBillDoesMath!

Answer:

y = (2/3)x + 16

Discussion:

Given line:

2x - 3y = 6 => add 3y to both sides

2x = 6 + 3y => subtract 6 from both sides

2x -6 = 3y => divide both sides by 3

y =(2/3)x - 2

The slope of this line, m, (2/3) and any line parallel to the given line has the same slope. We are looking for the line with slope (2/3) passing through (-6, 12)

y = (2/3)x + b => substitute (x,y) = (-6, 12) in the equation

12 = (2/3)(-6) + b => add (2/3)(6) = 12/3 = 4

12 + 4 = (2/3)(-6) + (2/3)(6) + b => as (2/3)(-6) + (2/3)(6) = 0

12 +4 = 0 + b =>

b = 16

Hence the equation of the parallel line through ( -6,12) is

y = mx + b

=(2/3)x + 16

Check: is (-6,12) on this line? Does 12 = (2/3)(-6) + 16 = -4 + 16 = 12? Yes!

Thank you,

MrB

8 0

3 years ago

NEED HELP PLEASE I NEED TO GET THIS ANSWER RIGHT!!! AND I NEED TO KNOW HOW YOU DID IT.

creativ13 [48]

You just need to multiply it all together. The steps are already done for you :)
3x2x4 = 24cm^2
Hope that helped you out.

6 0

2 years ago

Read 2 more answers

I'm stuck, can any one help me please?

katovenus [111]

Answer:

4 times 2+3-1=10

Step-by-step explanation:

6 0

2 years ago

In your own words, explain the Normal Distribution and provide a real world example.

elena-14-01-66 [18.8K]

Answer:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

Step-by-step explanation:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

$X \sim N(\mu , \sigma)$

The two parameters are:

$\mu$ who represent the mean and is on the center of the distribution

$\sigma$ who represent the standard deviation

One particular case is the normal standard distribution denoted by:

$Z \sim N(0,1)$

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

4 0

3 years ago

Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?