The answer to your question is A but i dont see a D option so it might be wrong
The slope of the tangent line to
at
is given by the derivative of
at that point:

Factorize the numerator:

We have
approaching -1; in particular, this means
, so that

Then

and the tangent line's equation is

Answer:
49 kilometers
Step-by-step explanation:
Since he cycles 1 km for each trip, he will have cycled 21 km after 21 trips.
Add this to his existing amount of km:
28 + 21
= 49
So, he will have cycled a total of 49 kilometers
The square root of 7: 2.64575
-0.3
(-7/4)= -1.75
0.1
Square root of3: 1.73205
greatest to least: (-7/4), -0.3, 0.1, square root of 3, square root of 7
The signs of the x-term and the constant term are both positive, so the signs of the constants in the binomial factors must be the same and must both be positive. The only offering that meets that requirement is
... C (2x+1)(3x+5)
_____
If you multiply that out, you get 6x² + 10x + 3x + 5 = 6x² +13x +5, as required.
The sign of the constant term is the product of the signs of the constants in the binomial factors: (+1)·(+5). We want a positive sign for the constant, so both binomial factor constants must have the same sign.
When the signs of the binomial factor constants are the same, the x-term constant will match them. Thus, for a positive x-term constant, both binomial factor constants must be positive.