Answer:
This can be solved by calculating a first degree Taylor approximation polynomial for the function in question around x=a. Taylor's first degree polynomial is given by:

Through this expression, which is easily evaluable around the point x = a, the function f (x) is approximated through a linear function.
Step-by-step explanation:
Answer:
x=25
Step-by-step explanation:
we know that
The <u><em>triangle external angle theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles
In this problem
m∠9=m∠7+m∠8
substitute the given values

solve for x

You need to find the values of x that correspond to the given values of f(x). That is, you need to solve for x:
.. y = 7x -2.7
.. y +2.7 = 7x
.. x = (y +2.7)/7
You are given y values of {14.1, 30.9, 41.4, 58.9, 68}. The corresponding x values are {2.4, 4.8, 6.3, 8.8, 10.1}, corresponding to selection C.
_____
Since the first number in each choice is different, you only need to evaluate f(x) for those numbers to see which gives the correct result. Only the 3rd one (2.4) give f(2.4) = 14.1, the correct answer.