If
and
, separate variables in the differential equation to get

Integrate both sides:

Use the initial condition to solve for
:

Then the particular solution to the initial value problem is

(A)
-5x - 6y = -21
5x - y =. 84
-7y = 63
y= -9
-5x = -21 - 54
-5x = -75
x = 15
Answer:
$184
Step-by-step explanation:
87 is 5 less than 1/2 of the price without a sale. in that case 92 would be half the cost. To find the full value you would multiply 92 by two to get 184
Answer:
10. 105
11. 75
12. 75
13. 105
14. 75
15. 105
Step-by-step explanation:
Notice that 75? Anything that is adjacent (has a common vertex like 75º) to the vertex is a linear pair. here is an example below:
Since there is only THAT 75, you must find the supplementary angle (adds up to 180). and remember in order to get a supplementary angle it has to be a STRAIGHT LINE and HAS TO EQUAL 180. (4, 1 in your image)
180 - 75 = 105.
and also it's also a linear pair so it reflects too which makes things a lot easier!
So, if 4 is 75 and it reflects, then that means 2 is also 75. 1 is 105 and it reflects so 3 has to be 105. and the same for the rest of the numbers.
Hope this makes sense
~R3VO
Answer:
(-1)ⁿ(3)ⁿ/10
Step-by-step explanation:
The first term a = 0.3, the second term, ar = 0.9. The common ratio r = ar/a = 0.9/-0.3 = -3.
From the general term of a geometric series,
U = arⁿ⁻¹
= (0.3)(-3)ⁿ⁻¹
= (3/10)(-3)ⁿ⁻¹
= (-1)ⁿ⁻¹(3)(3)ⁿ⁻¹/10
= (-1)ⁿ(3)ⁿ/10