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
To find the Median, place the numbers you are given in value order and find the middle number. <span>If there are two middle numbers, you average them.
</span><span>18, 21, 21, 24, 26, 35, 39, 48
The two middle number are 24 and 26
Average 24 + 26/2 = 25
The median is 25
</span>
What you need to do is multiply both sides by the same number. If 8 times 6 is 48, then 7 times 6 is your answer.
Answer:
17.95 :)
Step-by-step explanation:
25-78.85= 53.85, and 53.85/3= 17.95 so each pair of shorts costed 17.95
