Answer:
y = - 2x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line
m = 
= 
= 
= - 2
the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
9514 1404 393
Answer:
350,000
Step-by-step explanation:
The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...
x = -(140)/(2(-0.0002)) = 1,400,000/4
x = 350,000
350,000 units should be sold to maximize profit.
Answer:
it is 20% your welcome
Step-by-step explanation:
because when you divide 100 by 2 its 50 so its 20%
Answer:
124
Step-by-step explanation:
2x+100=6x+52
solve for variable x = 12
plug it in
2(12)+100
sj= 124
Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
