An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of x in the given equation can be written as,
![ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}](https://tex.z-dn.net/?f=ax%20-%20b%20%3D%20c%5C%5C%5C%5Cax%20%3D%20c%2Bb%5C%5C%5C%5Cx%20%3D%20%5Cdfrac%7Bc%2Bb%7D%7Ba%7D)
Hence, the value of x is the equation ax-b=c is (c+b)/(a).
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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:
![C=0.04x^2-5x+800](https://tex.z-dn.net/?f=C%3D0.04x%5E2-5x%2B800)
This is a quadratic equation in general form, which is:
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
Matching, we can say:
a = 0.04
b = -5
c = 800
The minimum occurs at ![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
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:
![x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D%3D-%5Cfrac%7B-5%7D%7B2%280.04%29%7D%3D%5Cfrac%7B5%7D%7B0.08%7D%3D62.5)
Plugging this into original, we get:
![C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75](https://tex.z-dn.net/?f=C%3D0.04x%5E2-5x%2B800%5C%5CC%3D0.04%2862.5%29%5E2-5%2862.5%29%2B800%5C%5CC%3D643.75)
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
Answer:
00
Step-by-step explanation: