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biancaTomas010B
30.12.2019 •
Mathematics
The table shows some values of f(x) and g(x) for different values of x:
x | f(x) = 9x + 7 | g(x) = 5x
−2 | −11 |
−1 | −2 |
0 | | 1
1 | |5
2 | |
complete the chart and determine the solution of the equation f(x) = g(x).
x = −1
x = 0
x = 2
x = 25
Solved
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Ответ:
Part 1) see the explanation
Part 2)![x=2](/tpl/images/0437/6240/2ff0d.png)
Step-by-step explanation:
Part 1) we have
Find the value of f(x) for different values of x
For x=-2 --->
---> ![f(-2)=-11](/tpl/images/0437/6240/b1ae7.png)
For x=-1 --->
---> ![f(-1)=-2](/tpl/images/0437/6240/3458e.png)
For x=0 --->
---> ![f(0)=7](/tpl/images/0437/6240/4ebd0.png)
For x=1 --->
---> ![f(1)=16](/tpl/images/0437/6240/5a054.png)
For x=2 --->
---> ![f(2)=25](/tpl/images/0437/6240/b918b.png)
For x=-2 --->
----> ![g(-2)=1/25](/tpl/images/0437/6240/81699.png)
For x=-1 --->
----> ![g(-1)=1/5](/tpl/images/0437/6240/d6739.png)
For x=0 --->
----> ![g(0)=1](/tpl/images/0437/6240/69832.png)
For x=1 --->
----> ![g(1)=5](/tpl/images/0437/6240/dd9d3.png)
For x=2 --->
----> ![g(2)=25](/tpl/images/0437/6240/d30d0.png)
Part 2) determine the solution of the equation f(x) = g(x)
equate f(x) and g(x)
Remember that
For x=2
therefore
x=2 is a solution of the system of equations
Ответ: