the derivative of the function would be
d/dx=−y/x2∗1/(1+(y/x)2)
= -yx^-2
Answer:
Step-by-step explanation:
I made a table with a pretend number of years of teaching by picking a somewhat random number to start
"Clark has less seniority than Cornwall but more than Prendergast:" I picked 3 for Clark 4 for Cornwall, and 2 for Prendergast, to start.
"Prendergast has more than Brown but less than Alexander:" I see I'm running out of easy numbers here. "Prendergast has more than Brown" means give Brown 1 year but this new teacher, Alexander needs a number between Clark and Prendergast. To make room, I increased Clark and Cornwall by 1 and finished the remainder in the "Final Years" column:
<u>Teacher </u> <u>Years</u> <u> Final Years</u>
Clark 3 4
Cornwall 4 5
Prendergast 2
Brown 1
Alexander 3
The highest seniority teacher, Cornwall, is smart and refuses the job. That leaves Clark, at number 2 seniority, to become the new supervisor.
4(y - 3) and 4y - 12
yes they are equivalent
4(y - 3) = 4y - 12 using the distributive property the result is the same.
Answer:
Interval of 50 on both axis
Step-by-step explanation:
Given
There are several ways to do this, but I will use the observation method, since the dataset is small.
Considering the x-coordinates
Each element of the data set is a multiple of 50.
Hence, an interval of 50 can be used on the x-axis
Considering the y-coordinates
Each element of the data set is a multiple of 50.
Hence, an interval of 50 can be used on the y-axis
<em>So, an interval of 50 can be used on both axes</em>
OK the next step is to multiply 3r -1 by -7r
this gives us -21r^2 + 7r and we write it below -21r^2 + 25r
and subtract
This gives us 18r and we bring down the -6 to give
18r - 6
Finally we divide 18r by -3r to give -6 then add - 6 to the r^2 - 7r on the top
then multiply -3r - 1 by -6 to give 18r - 6
subtraction then leaves nothing.
so the answer is r^2 - 7r - 6
