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
Part A.
*To find the sales tax (6%) amount: $18.50 x .06 = $1.11 is the sales tax on a dozen carnations
Part B.
*To find the total cost of a dozen carnations plus the sales tax: $18.50 + $1.11 = $19.61 this is the total cost
Answer:
i believe the answer is B
Step-by-step explanation:
make 2 and 2/3 a decimal
2 divided by 3 will give you .6 repeating. just round to .8
then divide 48 by 2.8
it will give you 17.142
i just rounded it to 18... bc its so close to it
<u>hope this helps :)</u>
Answer:
4) d = 1
5) w = 11
6) q = 120
Step-by-step explanation:
<em>4)</em> 
Adding 5 on both the sides ,
Dividing both the sides by 9 ,
<em>5)</em> 
Substracting 6 from both the sides ,
Dividing both the sides by -3 ,
<em>6)</em> 
Adding 19 on both the sides ,
Multiplying both the sides by 8 ,
I would be the last answer because the h of hours would be multiply by 5.
