Answer:
x = 
Step-by-step explanation:
Given
x +
= 
Multiply through by 80 ( the LCM of 20 and 16 ) to clear the fractions
80x + 36 = 45 ( subtract 36 from both sides )
80x = 9 ( divide both sides by 80 )
x = 
Answer:
(-3, 5) radius- r= 5
Step-by-step explanation:
x^2+6x+y^2-10y=-9
Rewrite ^2+6x+y^2-10y=-9 in the form of the standard circle equation
(x-(-3))^2+(y-5)^2= 5^2
Therefore the circle properties are:
(a, b)=(-3, 5), r= 5
Answer:
Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644
Step-by-step explanation:
The cost equation is given as:

This is a quadratic equation in general form, which is:

Matching, we can say:
a = 0.04
b = -5
c = 800
The minimum occurs at 
and the minimum value would be to place that "x" value into the equation.
First, we find the minimum using values of a and b:

Plugging this into original, we get:

Rounding off to nearest whole number, we can say:
Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644
12.60 / 7 = $ 1.80 per bottle
10.98 / 6 = $ 1.83 per bottle
18.10 / 10 = $ 1.81 per bottle
16.38 / 9 = $ 1.82 per bottle
best buy (cheapest) is : $ 12.60 for 7 bottles <==