1 34
2 33
3 32
4 31
5 30
6 29
7 28
8 27
9 26
10 and 25 is the answer
Answer: 2790 students
Step-by-step explanation: With the given information, you could set up a ratio of 30/2 = x/186. When you cross multiply that, you get 2790.
Answer:
1/3
Step-by-step explanation:
Alright, so in this you want to use the slope formula: m=y2-y1/x2-x1. You plug the coordinates of the points into the formula to get the slope. (x1,y1) (x2,y2). So in this problem, 7 is x1, -1 is y1, -2 is x2, -4 is y2. So using the formula, you plug in y2 minus y1, divided by x2 minus x1.
So m (the slope) = -4- (-1) divided by -2-7.
2 negatives make a positive, so -4 + 1 is -3. -2-7 becomes -9. So this is now -3/-9. Again, 2 negatives make a positive, so this is now 3/9. Simplify and the answer is positive 1/3. Hope this helps!
Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
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The solutions of this system of equiations is the intersection of the red line and the blue one, that is (5,3)
