M+2/3=1/2
<=> m= 1/2 - 2/3
<=> m= -1/6
To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.
For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.
Simplify by evaluating the coefficients and powers of 3.
Answer:
C. F(3) = 7
Step-by-step explanation:
You have to to substitute the value of the function into each equation.
So...
A. 7+4 does not equal 7
B. 3+4 does not equal 3
C. 3+4 DOES equal 7
Susanne is 16 years old.
b = Bob's age
s = Susanne's age
d = Dakota's age
Bob's age is 4 times greater than Susanne's age:
b = 4s
Dakota is three years younger than Susanne:
d = s - 3
The sum of Bob's, Susanne's, and Dakota's ages is 93:
b + s + d = 93
solve these equations:
b = 4s
d = s - 3
b + s + d = 93
and get:
b = 64 years
s = 16 years
(remember that s = Susanne)
d = 13 years
The solution to the given differential equation is , , where c is constant of integration.
For given question,
We have been given a differential equation
We know that for any real number a, m, n,
⇒ dy/dx = ×
Separating the variables (x and its differential in one side and y and its differential in another side )
⇒ dy = dx
⇒ dy = dx
Integrating on both the sides,
⇒ dy = dx
We know that,
⇒
and
So the solution is, , where c is constant of integration.
Therefore, the solution to the given differential equation is , , where c is constant of integration.
Learn more about the differential equation here:
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