First find the equation of the line:
y - b = m (X - a)
y - 5 = 2/3 (X + 2)
3y - 15 = 2 (X + 2)
3y - 15 = 2x + 4
3y = 2x + 19
Then sub the y-value of A into the equation to find X.
y = 3
3(3) = 2x + 19
9 = 2x + 19
2x = 10
X = 5
And sub the X-value of B into the equation to find y.
X = -2
3y = 2(-2) + 19
3y = -4 + 19
3y = 15
y = 5
x = 2
solve 4x + 6 = 2x + 10
subtract 2x from both sides
2x + 6 = 10
subtract 6 from both sides
2x = 10 - 6 = 4
divide both sides by 2
x = 
= 2
as a check f(2) =(4 × 2 )+ 6 = 14 and g(2) =( 2× 2) + 10 = 14
Answer:
C(x) = 5700 + 500x
Step-by-step explanation:
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.
Variable cost are cost that changes with production such as cost of raw material, cost of labor.
From the question:
Fixed cost= $5,700
Cost per unit of computer = $500
If x number of computers are produced in a month
Variable cost = 500x
Total cost = fixed cost + variable cost
C(x) = 5700 + 500x
Where,
C(x) = total cost
5700= fixed cost
500x= variable cost
The area of a circle is π (Pi) times the Radius squared:
A = π × r2
Or, when you know the Diameter:
A = (π/4) × D2
Or, when you know the Circumference:
A = C2 / 4π
Hope it helps
