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


I hope this is useful for you
Best regard
Answer:
Well the original price would be $44
Step-by-step explanation:
So make an equation
Lets make X stand for the price before the deduction
so x-x(0.3)=30.80
Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change
Now just solve the equation
You’ll get 44.
58=12+2x
Subtract 12 from each side
46=2x
Divide each side by two
23=x
The cost of each pass is $23
A. angel a is 50 bc since it is isosceles, the two ungiven angles equal the same (180-80=100, 100/2=50)
B. 180=28+28+b, 180=56+b, 124=b
Answer:
Algebra is a language of symbols and operations to study the general properties of numbers. It is essential for solving many problems involving rates, costs, length, and weight. It is commonly considered to be one of the most important branches of mathematics and it has been extensively used in both pure and applied sciences.
Step-by-step explanation: