Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by

where x is the number of produced products.
The revenue function is

With both equations, we can know the profit function as



For the firm to have positive profits, it has to produce x articles with the condition

Or, equivalently

Solving for x

Thus

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
1) Coordinates of A: (-1,5) Coordinates of C: (6,-9)
2) Coordinates of A: (-1,-14) Coordinates of M: (6,7)
Answer:
Point-Slope: 
Slope-Intercept: 
Step-by-step explanation:
The point-slope formula is
. The slope-intercept formula is
. Since we are given the point and slope, we can directly plug it into the point-slope formula.
Point-Slope


To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.
Slope-Intercept


Answer:
3^81 is bigger
Step-by-step explanation:
3^81=4.43426488e38
9^27=5.8149737e25
Answer:
y= -2x + 11
Step-by-step explanation:
standard form for lines is y=mx+b
m is the slope and b is the y intercept
we already know that m is -2, so we just need to figure out the intercept.
the point given is (7,-3)
points are written as (x,y) so we can plug it into the equation with 7 for the x and -3 for y
-3 = -2 (7) + b
-3 = -14 + b
11 = b
so the equation is y=-2x+11