4/5 equivalent to 5/6
1 answer:
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Answer:
C
Step-by-step explanation:
The general rule for the quadratic function is
Use the data from the table:
We get the system of three equations:
Subtract these equations:
From the first equation
Substitute it into the second equation:
So,
The quadratic function is
Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD=
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>