<h3>
Answer: C) I and II only</h3>
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Work Shown:
Part I
![\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%202%7D%5Cfrac%7Bx-2%7D%7Bx%2B2%7D%20%3D%20%5Cfrac%7B2-2%7D%7B2%2B2%7D%5C%5C%5C%5C%5C%5C%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%202%7D%5Cfrac%7Bx-2%7D%7Bx%2B2%7D%20%3D%20%5Cfrac%7B0%7D%7B4%7D%5C%5C%5C%5C%5C%5C%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%202%7D%5Cfrac%7Bx-2%7D%7Bx%2B2%7D%20%3D%200%5C%5C%5C%5C%5C%5C)
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Part II
![\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%200%7D%5Cfrac%7B%5Csin%28x%29%7D%7Bx%2B2%7D%20%3D%20%5Cfrac%7B%5Csin%280%29%7D%7B0%2B2%7D%5C%5C%5C%5C%5C%5C%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%200%7D%5Cfrac%7B%5Csin%28x%29%7D%7Bx%2B2%7D%20%3D%20%5Cfrac%7B0%7D%7B2%7D%5C%5C%5C%5C%5C%5C%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%200%7D%5Cfrac%7B%5Csin%28x%29%7D%7Bx%2B2%7D%20%3D%200%5C%5C%5C%5C%5C%5C)
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Part III
![\displaystyle \lim_{x \to 5}\frac{x}{x} = \lim_{x \to 5}1\\\\\\\displaystyle \lim_{x \to 5}\frac{x}{x} = 1\\\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%205%7D%5Cfrac%7Bx%7D%7Bx%7D%20%3D%20%5Clim_%7Bx%20%5Cto%205%7D1%5C%5C%5C%5C%5C%5C%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%205%7D%5Cfrac%7Bx%7D%7Bx%7D%20%3D%201%5C%5C%5C%5C%5C%5C)
Answer:
2/4
Step-by-step explanation:
Bonnie and Maria combined = 1/4 + 2/4 = 3/4
Gracie run = 5/4
=> How much farther, f, did Gracie run than Bonnie and Maria combined
= 5/4 - 3/4 = 2/4
So Gracie run 2/4 more than Bonnie and Maria combined
Answer:
x = 3 ± i ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
Given
x² - 6x + 12 = 0 ( subtract 12 from both sides )
x² - 6x = - 12
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 12 + 9
(x - 3)² = - 3 ( take the square root of both sides )
x - 3 = ±
= ± i
( add 3 to both sides )
x = 3 ± i ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
It is not . There are multiple x values for the y values.
Formula for volume = length x height x breadth
7a) 13.5 x 3.5 x 11.5 = 543.375
7b) 24 x 10 x 30.5 = 7320