Answer:
2 and 8
1 and 3
Step-by-step explanation:
statement a+b < a*b
-2 + -8 < -2 * -8 => -10 < 16 TRUE
-1 + -3 < -1 * -3 => -4 < 3 TRUE
1+3 < 1*3 => 4 < 3 FALSE
2 + 8 < 2 * 8 => 10 < 16 FALSE
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
_______________
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:
14 hours
Step-by-step explanation:
If you need to take 1 pill every 3.5 hours then this suggest that the effects of 1 pill lasts for 3.5 hours.
Therefore, if you take 4 pills then they will last: 4 x 3.5 = 14 hours
