Answer:
General solution x = log | sec y | + C
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given
cos y dx = sin y d y
<u><em>Step(ii)</em></u>:-
now integrating on both sides , we get
by using formula
x = log | sec y | + C
<u><em>Final answer:</em></u>-
General solution x = log | sec y | + C
Adding 15 to both sides. In order to get it to the opposite side of the equal sign, you must do its opposite. You can't add 8x to both sides, because the opposite of positive 8x is negative 8x and that's not what they're asking. The opposite of negative 15 is positive 15, so it works. Opposite of positive 3 is negative three, and they're wanting a positive, so it will not work. Adding 2x wouldn't work, because it's already positive..
The sixth grade runs a bake sale for 55 hours and makes $170.
So in one hour, they made 170/55 = 3.09 dollars.
Rate: $3.09/h
The seventh grade sets up a dunking booth for 44 hours and makes $112.
So in one hour, they made 112/44 = 2.54 dollars.
Rate: $2.54/h
The eight grade has a car wash and makes $192 in 66 hours.
So in one hour, they made 192/66 = 2.90 dollars.
Rate $2.90/h
3.09 > 2.90 > 2.54
So R(6th) > R(8th) > R(7th)
Which means that the sixth grade has the highest rate for raising money.
Hope this helps! :)
The first step for finding y is to divide both sides of the equation by 9.
9y ÷ 9 = 2x ÷ 9
When dividing 9 by 9 you must remember that any expression divided by itself equals 1.
y = 2x ÷ 9
Now write 2 ÷ 9 as a fraction.
y =
x
This means that the answer to your question is that y =
x.
Let me know if you have any further questions.
:)
Note: The function is below the graph, so it is less than.
