For this case we have the following expression:
(x + 7) / (x ^ 2 - x - 2) = A / (x - 2) + B / (x + 1)
Rewriting we have:
(x + 7) / ((x-2) (x + 1)) = A / (x - 2) + B / (x + 1)
We multiply the equality by (x-2) (x + 1):
x + 7 = A (x + 1) + B (x - 2)
Rewriting we have the following system of equations:
A + B = 1
A - 2B = 7
Solving the system we have:
A = 3
B = -2
Answer:
constants A and B are:
A = 3
B = -2
Answer:
1
Step-by-step explanation:
21 = 3*7
65 = 5*13
CGF: to find the greatest common factor, multiply those factors both numbers have in common
GCF :1 since there are no factors in common
Answer:
80.54
Step-by-step explanation:
height- 30
base- 5
tan-1(30/5)
tan-1(6)
= 80.54
They are all same because they have the same median. They are all different because they have a different mean.
Answer:
Step-by-step explanation:
GIVEN: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying gallons of fuel, the airplane weighs pounds. When carrying gallons of fuel, it weighs pounds.
TO FIND: How much does the airplane weigh if it is carrying gallons of fuel.
SOLUTION:
Let the fuel be represented along and weight of plane along
two coordinates are
now, equation of linear function is
putting values we get
Now when fuel is
Airplane weighs