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shy88
04.12.2019 •
Mathematics
The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4000 to produce 300 chairs in one day. (a) assuming that the relationship between cost c and the number of chairs produced x is linear, find an equation that expresses this relationship.
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Ответ:
Linear equation: y = m x + b ( m = ?, b = ? )
2200 = 100 m + b / * ( -1 )(we will multiply both sides of the equation by -1)
4000 = 300 m + b
- 2200 = - 100 m - b
+
4000 = 300 m + b
1800 = 200 m
m = 1800 : 200 , m = 9 ( we will then plug in the first equation )
2200 = 9 * 100 + b
2200 = 900 + b
b = 2200 - 900, m = 1300
C = 9 x + 1300
Ответ:
Option 2 and 3 - 3 and![-\frac{1}{2}](/tpl/images/0301/6517/3e56c.png)
Step-by-step explanation:
Given : Equation![(4x-5)^2=49](/tpl/images/0301/6517/bc755.png)
To find : What are the possible values of x ?
Solution :
Equation![(4x-5)^2=49](/tpl/images/0301/6517/bc755.png)
Taking root both side,
Taking![4x-5=7](/tpl/images/0301/6517/daec5.png)
Taking![4x-5=-7](/tpl/images/0301/6517/93e7a.png)
The possible values of x are 3 and![-\frac{1}{2}](/tpl/images/0301/6517/3e56c.png)
Therefore, option 2 and 3 are correct.