The equation of a line in a point-slope form is
where m is a slope of the line and
is the point that line is passing through.
If slope m=3, then the equation will be
The line is passing through the point (1,4), then the equation of the line is:
Answer: option A
Answer:
We have an extrema (local minimum) at x = -0.125
An inflection point at x = 0.25
Step-by-step explanation:
The given function is given as follows;
At the extrema points, f'(x) = 0 which gives;
(8x + 1) =x- (0/((x)^(1/0.3)) = 0
x = -1/8 = -0.125
f''(x) gives;
Substituting x = -0.125 gives f''(x) = 32 which is a minimum point
The inflection point is given as follows;
x = 2/3×3/8 = 1/4 = 0.25
We check the value of f''(x) at x = 0.24 and 0.26 to determine if x = 0.25 is an inflection point as follows;
At x = 0.24, f''(x) = -0.288
At x = 0.26, f''(x) = 0.252
0.25 is an inflection point