Sal has already finished 5/9 of the 45 math problems he was assigned. If each math problem took him 3/5 of a minute to finish an
d this pace continues, which expression can be used to determine the amount of time it will take him to finish his remaining homework?
45 times 5/9 times 3/5
45 times 5/9 divided by 3/5
45 times 4/9 times 3/5
45 times 4/9 divided by 3/5
please answer fast its timed
45 times 5/9 times 3/5
45 times 5/9 divided by 3/5
45 times 4/9 times 3/5
45 times 4/9 divided by 3/5
please answer fast its timed
1 answer:
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Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently