1) the car has travelled 210 miles in 3.5 hours
2) No because the line stops at (1,50)
For the first part, it is y < 2x + 2
& the second part is (-1, -2)
By definition of absolute value,
Differentiating once gives
As
from either side, we find that
, so really
Differentiating again, we find
but this time, the limit does not exist as
from either side, so
is undefined. However, we see that
when
, and
when
, and we know that
is continuous at
. This means the concavity must change at
, so (0, 0) is the inflection point. (The takeaway is that inflection points *can* occur when the second derivative is undefined, but not always.)
Answer:
The numbers are 18 and 91
Step-by-step explanation:
You can translate the information to two equations:
<em>a value 5 times a smaller number is 1 less than a larger number</em>
5a = b - 1
<em>their difference is 73</em>
b - a = 73
Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:
b = 5a + 1
Now I can write 5a+1 in the second equation at the place where b was:
5a + 1 - a = 73
It is now an equation with only one variable, solve by simplifying
4a = 72
a = 18
Now b can be found using b = 5a + 1
b = 91