Mathematics
Grade10
Easy

Question

In a company, the sales are represented as y equals 2 x squared plus 16 x plus 4 comma where x is the number of products manufactured. The production is represented as y equals 4020 space x plus 8.
y equals 2 x squared plus 16 x plus 4
y equals 4020 space x plus 8

By solving the equation, we get (0, 2000) and (8, 8040008)
It is given manufactured some products, so x =0 is ignored
We consider x=8
What is the value of sales?

  1. 8040008
  2. 6000006
  3. 7077756
  4. No sales

The correct answer is: 8040008


    8040008 comma space i s space t h e space c o r r e c t space c h o i c e

w e space h a v e space t h e space e q u a t i o n
s a l e s space a r e space r e p r e s e n t e d space a s space y space equals space 2 x squared space plus space 16 x space plus 4 space... left parenthesis a right parenthesis
p r o d u c t i o n space i s space r e p r e s e n t e d space a s space y space equals space 4020 x plus 8..... left parenthesis b right parenthesis
w h e r e space x space i s space t h e space n u m b e r space o f space p r o d u c t s space m a n u f a c t u r e d
o n space s o l v i n g space b o t h space t h e space e q u a t i o n space a space a n d space b
w e space g e t space left parenthesis 0 comma space 2000 right parenthesis space a n d space left parenthesis 8 comma space 8040008 right parenthesis
w h e r e space x space equals space 8 space i s space v a l i d space a n d space space x equals 0 space i s space n o t space v a l i d
s o space space t h e space v a l u e space o f space s a l e s space equals space 8040008 comma space i s space t h e space a n s w e r

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    y equals 2 x squared plus 16 x plus 4
y equals 4020 space x plus 8

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    It is given manufactured some products, so x =0 is ignored
    We consider x=8
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