Answer:
y = 3x
Step-by-step explanation:
Given line slope = m = -1/3
perpendicular line slope = - 1/m = 3
Point slope form through point 1, - 3
(y+3) = 3 ( x-1) expand and rearrange
y -3 = 3x- 3
y = 3x - 6
Answer:
0.36x ² + 815.04x + 11,340
Step-by-step explanation:
Revenue = price × quantity
p(x) = x+14
d(x) = 0.36x + 810
Revenue = price × quantity
= (x + 14) * (0.36x + 810)
= 0.36x² + 810x + 5.04x + 11,340
= 0.36x ² + 815.04x + 11,340
Company's revenue = 0.36x ² + 815.04x + 11,340
7 miles per hour.
if you multiply the distance and time by 2 you get 7 miles in 1 hour, or 7 mph
The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8