Answer:
E) x=0 or y=-5
Step-by-step explanation:
The slope field will have vertical segments when dy/dx is undefined, that is, dy/dx is a division by 0.
We have that
dy/dx=(3y)/(xy+5x)
So the slope field will have vertical segments when
This is when x = 0 or y = -5.
So the correct answer is:
E) x=0 or y=-5
20 markers are needed to cover the 10 kilometers.
If
is odd, then
while if
is even, then the sum would be
The latter case is easier to solve:
which means
.
In the odd case, instead of considering the above equation we can consider the partial sums. If
is odd, then the sum of the even integers between 1 and
would be
Now consider the partial sum up to the second-to-last term,
Subtracting this from the previous partial sum, we have
We're given that the sums must add to
, which means
But taking the differences now yields
and there is only one
for which
; namely,
. However, the sum of the even integers between 1 and 5 is
, whereas
. So there are no solutions to this over the odd integers.
The missing term in the left side of the equation is 7. Therefore:
(6a-7)5a
On the other hand, the missing coefficient in the right side of the equation is 30. Therefore,
30a^2 - 35a
Combining the left and right sides of the equation:
(6a-7)5a = 30a^2-35a
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
