Answer:
x = 2
Step-by-step explanation:
6x - 5 = 13 – 3x
Add 3x to both sides
6x + 3x - 5 = 13 - 3x + 3x
9x - 5 = 13
Add 5 to both sides
9x - 5 + 5 = 13 + 5
9x = 13+5
9x = 18
Divide both sides by 9
9x/9 = 18/9
x = 2
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Answer:
Step-by-step explanation:
We have to take the derivatives for both functions and replace in the differential equation. Hence
for y=e^{-5x}:
for y=e^{6x}:
Now we replace in the differential equation y'' − y' − 30y = 0
for y=e^{-5x}:
for y=e^{6x}:
Now, to know if both function are linearly independent we calculate the Wronskian
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Answer:
B) 69°
Step-by-step explanation:
The missing measure is supplementary angle of 111° which means their sum is equal to 180°
180 - 111 = 69.
Answer:
2304
Step-by-step explanation:
<u>Given :- </u>
- A geometric sequence is given to us which is 9 , -18 , 36.
And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
<u>Common Ratio :- </u>
CR = -18÷ 9 = -2
<u>The </u><u>9</u><u> th term :- </u>
T_n = arⁿ - ¹
T_9 = 9× (-2) ⁹ - ¹
T_9 = 9 × (-2)⁸
T_9 = 9 × 256
T_9 = 2304
<u>Hence the 10th term is </u><u>2</u><u>3</u><u>0</u><u>4</u><u>.</u>