1. 6 + 48 / 8* 7 = ?

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

3 years ago

Karen runs a print shop that makes posters for large companies. It is a very competitive business. The market price is currently

kumpel [21]

AFC = FC / Quantity printed

So given she prints 1,000 posters: AFC = 250.00/1000 = $0.25 
Given she prints 2,000 posters: AFC = 250.00/2000 = $0.125 
Given she prints 10,000 posters: AFC = 250.00/2000 = $0.025 

ATC = TC / Quantity printed 

where TC = FC + Variable C * Quantity printed 

If she prints 1000: TC = 250 + 2000*1000 = 2,000,250 
ATC = 2,000,250/1000 = 2000.25 

If she prints 2000: TC = 250 + 1600*2000 = 3,200,250 
ATC = 3,200,250/2000 = 1600.125 

If she prints 10000: TC = 250 + 1600*2000 + 1000*8000 ($1000 for each additional poster after 2000) = 11,200,250 
ATC = 11,200,250/10000 = 1120.025

7 0

3 years ago

Tara and Veronica are in charge of making a banner for the volleyball game this Saturday. How much poster paper will they need f

fenix001 [56]

Answer:

21 7/8 square feet

Step-by-step explanation:

To solve the above Question, we have to used the formula of a parallelogram

The formula is given as:

Base × Height

Base = 6 1/4 feet

Height = 3 1/2 feet