All categories

2 years ago

What is the justification for each step in the solution of the equation?

Mathematics

1 answer:

otez555 [7]2 years ago

7 0

23x-13=2(x+2)

First you would distribute the 2 into the parenthesis

It will look like this after: 23x-13=2x+4

Then you would subtract 2x on both sides because u have to get the x's on one side

It will look like this after:21x-13=4

Then you would add 13 to both sides

It will look like this after: 21x=17

Then you would divide 21 on both sides

Your final product is 21/17

You might be interested in

Make r the subject of the formula

zloy xaker [14]

Answer:

$r=\frac{-a+p}{a+p}$

Step-by-step explanation:

$-pr+p=ar+a$

$-ar-pr+p=a$

$-ar-pr=a-p$

$r(-a-p)=a-p$

$r=\frac{-a+p}{a+p}$

3 0

2 years ago

Read 2 more answers

PLEASE HELP ME AND MY FRIEND WITH THIS PROBLEM!!

Elena L [17]

Answer:

12 outcomes

Step-by-step explanation:

dice = 6 outcomes

coin = 2 outcomes

6 outcomes x 2 outcomes = 12 total outcomes

7 0

2 years ago

Read 2 more answers

What function equation is represented by the graph? f(x)=14x+3 f(x)=−4x−3 f(x)=−14x−3 f(x)=14x−3

Vladimir [108]

See the explanation

<h2>Explanation:</h2>

Remember you have to provide complete questions in order to get exact answers. Here I'll provide a general explanation, so:

<h3>First.</h3>

$f(x)=14x+3$

The slope is:

$m=14$

The y-intercept is:

$b=3$

By using graphing tool, we get the first graph shown below.

<h3>Second.</h3>

$f(x)=-4x-3$

The slope is:

$m=-4$

The y-intercept is:

$b=-3$

By using graphing tool, we get the second graph shown below.

<h3>Third.</h3>

$f(x)=-14x-3$

The slope is:

$m=-14$

The y-intercept is:

$b=-3$

By using graphing tool, we get the third graph shown below.

<h3>Fourth.</h3>

$f(x)=14x-3$

The slope is:

$m=14$

The y-intercept is:

$b=-3$

By using graphing tool, we get the fourth graph shown below.

<h2>Learn more:</h2>

Linear inequalities: brainly.com/question/12984296

#LearnWithBrainly

7 0

2 years ago

Read 2 more answers

-4x-15y=-17<br>-x+5y=-13<br><img src="https://tex.z-dn.net/?f=%20-%204x%20-%2015y%20%3D%20%20-%2017%20%20%5C%5C%20%20-%20x%20%2B

salantis [7]

To solve this system of linear equations we need a little trick called elimination steps are below

we are given the following system of equations
$- 4x - 15y = - 17$
$- x + 5y = - 13$
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
$- 4x - 15y = - 17$
$- 4( - x + 5y = - 13)$
simplify and we get
$- 4x - 15y = - 17$
$4x - 20y = 52$
now we can combine like terms on each side with the x's cancelling and get

$- 35y = 35$
now divide off -35
$y = - 1$
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

$- x + 5y = 13$
so now we substitute y and get
$- x + 5( - 1) = 13$
$- x - 5 = 13$
$- x = 17$
$x = - 17$

now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)

6 0

2 years ago

One company makes inflatable swimming pools that come in four sizes of rectangular prisms.

Margaret [11]

Answer:

L = 2W, and LW = 5000. Therefore 2W^2 = 5000, so W^2 = 2500. This means W=50 and L=100.

Step-by-step explanation:

4 0

2 years ago