Answer:
The answer is "Option a".
Step-by-step explannation:
![\to \bold{ \lim_{n \to \5} \frac{(x^2+x-30)}{(x-5)} = \lim_{n \to \5} (x+6) }\\\\](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%20%5Cfrac%7B%28x%5E2%2Bx-30%29%7D%7B%28x-5%29%7D%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%28x%2B6%29%20%7D%5C%5C%5C%5C)
![\to \lim_{n \to \5} \frac{(x^2+(6-5)x-30)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} \frac{(x^2+6x-5x-30)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} \frac{x(x+6)-5(x+6)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} \frac{(x+6) (x-5)}{(x-5)} = \lim_{n \to \5} (x+6) \\\\\to \lim_{n \to \5} (x+6) = \lim_{n \to \5} (x+6) \\\\\to 5+6 =5+6\\\\\to 11 =11](https://tex.z-dn.net/?f=%5Cto%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%20%5Cfrac%7B%28x%5E2%2B%286-5%29x-30%29%7D%7B%28x-5%29%7D%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%28x%2B6%29%20%5C%5C%5C%5C%5Cto%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%20%5Cfrac%7B%28x%5E2%2B6x-5x-30%29%7D%7B%28x-5%29%7D%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%28x%2B6%29%20%5C%5C%5C%5C%5Cto%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%20%5Cfrac%7Bx%28x%2B6%29-5%28x%2B6%29%7D%7B%28x-5%29%7D%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%28x%2B6%29%20%5C%5C%5C%5C%5Cto%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%20%5Cfrac%7B%28x%2B6%29%20%28x-5%29%7D%7B%28x-5%29%7D%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%28x%2B6%29%20%5C%5C%5C%5C%5Cto%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%20%28x%2B6%29%20%20%3D%20%20%5Clim_%7Bn%20%5Cto%20%5C5%7D%20%28x%2B6%29%20%5C%5C%5C%5C%5Cto%205%2B6%20%3D5%2B6%5C%5C%5C%5C%5Cto%2011%20%3D11)
that's why the choice a is correct.
Answer:
She must score an 81
Step-by-step explanation:
(74 + 92 + 83 + 98 + 100 + x) / 6 = 88
(x+447)/6 = 88
x+447 = 528
x = 81
For a) simply substitute the speed of the car into the equation to get the braking distance.
For b) rearrange the equation to solve for x by substituting the braking distance in.
Rearranged, the equation looks like this: x = √(9d)
For c) use a calculator to find the precise value of x in question b.
For B
sec=26/10
sec=2.6
For A
sec=24/10
sec=2.4
The secant of an angle is the length of the hypotenuse divided by the length of the adjacent side