I'm so confused! what answer am i missing???
1 answer:
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Answer:
The image shows the graph for given function.
Step-by-step explanation:
We are given the following information in the question:
It is clear function is an exponential function and have shape similar to exponential function.
An exponential function is of the form:
,
where b is a parameter of the function and read as b raised to the power x.
The exponential function enjoys the following properties:
- If 0 < b < 1, then the graph decreases as we move from left to right.
- If b > 1, then the graph will increase as we move from left to right.
The system is
i)
ii)
In the second equation, the bases are equal, so we make the exponents equal to set the equation:
5y-4=10x-4. This means that 5y=10x, that is y=2x.
So, we can substitute y with 2x in the first equation:
.
Multiplying the second fraction by 2/2 and -1 by 2x/2x, we have:
.
Since the denominators are all equal, we can only work with the numerators, setting the equation:
-12+8x-10x+12=-2x,
simplifying we get 0-2x=-2x, that is -2x=-2x, which is always true. (Here remember that x cannot be 0 since x was in the denominator).
This means that for any (x, y) such that y=2x, the system is satisfied.
We can check that the correct statements are:
3) The point (1, 2) is a solution. (Since we have y=2x).
6) The system has infinitely many solutions. (Since any pair (x, 2x) is a solution, except when x=0)
i)
ii)
In the second equation, the bases are equal, so we make the exponents equal to set the equation:
5y-4=10x-4. This means that 5y=10x, that is y=2x.
So, we can substitute y with 2x in the first equation:
Multiplying the second fraction by 2/2 and -1 by 2x/2x, we have:
Since the denominators are all equal, we can only work with the numerators, setting the equation:
-12+8x-10x+12=-2x,
simplifying we get 0-2x=-2x, that is -2x=-2x, which is always true. (Here remember that x cannot be 0 since x was in the denominator).
This means that for any (x, y) such that y=2x, the system is satisfied.
We can check that the correct statements are:
3) The point (1, 2) is a solution. (Since we have y=2x).
6) The system has infinitely many solutions. (Since any pair (x, 2x) is a solution, except when x=0)