For this case we must simplify the following expression:
We apply distributive property on the left side of the equation:
We subtract 3n from both sides of the equation:
We subtract 6 from both sides of the equation:
We divide between 45 on both sides of the equation:
Answer:
Yes because you can multiply 3/4 by 9/9 and you’ll get 27/36 :)
Answer:
Plan A:
C = $80
C = cost
Plan B:
C = 0.15t + 20
C = cost; t = amount of text messages
Step-by-step explanation:
Let C = cost.
Let t = amount of text messages.
<u>Plan A:</u>
C = $80
<u>Plan B:</u>
C = 0.15t + 20
If the next question asks for you to solve when Plan B will be equal to Plan A, set the two equations equal to each other.
80 = 0.15t + 20
Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 20 from both sides.
80 (-20) = 0.15t + 20 (-20)
80 - 20 = 0.15t
60 = 0.15t
Divide 0.15 from both sides.
(60)/0.15 = (0.15t)/0.15
60/0.15 = t
t = 400
Those who use Plan B must send at least 400 text message to have the same price as Plan A.
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Answer:
Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:
In order to find the complementary solution you need to solve:
Using the characteristic equation, we may have three cases:
Real roots:
Repeated roots:
Complex roots:
Hence:
Solving for :
Since we got complex roots, the complementary solution will be given by:
Now using undetermined coefficients, the particular solution is of the form:
Note: was multiplied by x to account for and in the complementary solution.
Find the second derivative of in order to find the constants and :
Substitute the particular solution into the differential equation:
Simplifying:
Equate the coefficients of and on both sides of the equation:
So:
Substitute the value of the constants into the particular equation:
Therefore, the general solution is: