
<em><u>Solution:</u></em>
<em><u>Given inequality is:</u></em>

We have to solve the given inequality


Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

<em><u>Thus the solution to inequality is:</u></em>

Answer:
d(x) = √[(x - 2)² + (3x - 1)²]
Step-by-step explanation:
The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, the distance between point (2,0) and a point (x,y)
d = √[(x - 2)² + (y - 0)²]
d = √[(x - 2)² + (y)²]
But the point (x,y) is on the line y = 3x - 1
We can substitute for y in the distance between points equation.
d(x) = √[(x - 2)² + (3x - 1)²]
QED!
Answer:
$42.40
Step-by-step explanation:
The horizontal axis is in fractions.
The three lightest are two
pounds & one
pounds. Each cost $4.40 per pound.
So cost = 4.40(5/8+5/8+6/8) = $8.8
Remaining costs 4.80 per pound. We add up the remaining and multiply by 4.80 to get their cost.
cost = 
Hence, total cost = 8.8 + 33.6 = $42.40
(f+g)(x) = f(x) + g(x)
(f+g)(x) = 3x-2 + 2x+1
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1