I'm going to assume you meant to say
![\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto-4%7D%20%5Cfrac%7Bx%2B4%7D%7Bx%5E2-16%7D)
Factorize the denominator to reveal a removable discontinuity in the limand:
![\dfrac{x+4}{x^2-16} = \dfrac{x+4}{(x+4)(x-4)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B4%7D%7Bx%5E2-16%7D%20%3D%20%5Cdfrac%7Bx%2B4%7D%7B%28x%2B4%29%28x-4%29%7D)
In the limit, we're considering values of x *near* -4, and not x = -4 itself. So we can cancel the factors of x + 4 and we're left with
![\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16} = \lim_{x\to-4} \frac1{x-4} = \frac1{-4-4} = \boxed{-\frac18}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto-4%7D%20%5Cfrac%7Bx%2B4%7D%7Bx%5E2-16%7D%20%3D%20%5Clim_%7Bx%5Cto-4%7D%20%5Cfrac1%7Bx-4%7D%20%3D%20%5Cfrac1%7B-4-4%7D%20%3D%20%5Cboxed%7B-%5Cfrac18%7D)
Answer:16
a
8
9
c
9
Step-by-step explanation:
Answer:
30/64
Step-by-step explanation:
5b=30
32a=8
8^2=64
=30/64
Formula
l×w×h=volume
12×5×9=v
540=v
Formula for simple interest = total = start value x ( 1 + interest rate x time)
Total = 1880.90 x ( 1 + 0.055 x 1)
Total = 1,984.35
Interest = total - starting amount
Interest = 1984.35-1880.90 = 103.45
Interest: £103.45