Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
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The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
Answer:
True
Step-by-step explanation:
The variable overhead rate variance refers to the difference in two variables.
The Variables are
1. The actual variable manufacturing overhead
2. The expected variable overhead given the number of hours worked
Labor rate variance is evaluated by
AH(AR - SR)
AH = actual hours
AR = actual rate
SR = standard rate.
The variable overhead rate variance is also calculated the same way except that it replaces the direct labor rates with variable overhead rates
The answer would be 30 since you multiply 5 and 6
Answer:
x to the 2 power-9x+14
Step-by-step explanation:
Answer:
It's the second option
Step-by-step explanation:
When inputting each of those numbers given in the question into the equation, you get the numbers in the second option.
