For this case we have the following expression:
![\frac {11x-2-3 (1-7x) ^ 2} {(x + 1)}](https://tex.z-dn.net/?f=%5Cfrac%20%7B11x-2-3%20%281-7x%29%20%5E%202%7D%20%7B%28x%20%2B%201%29%7D)
We must indicate the first step that allows to start the simplification of the expression.
It is observed that the first step to follow is to solve the square of the binomial that is in the numerator of the expression.
![(1-7x) ^ 2](https://tex.z-dn.net/?f=%281-7x%29%20%5E%202)
Answer:
Option A
Answer: 2 2/3 miles
Step-by-step explanation:
From the question, we are informed that three runners in a relay race share the 8-mile distance equally.
The number of miles that each runner travel will be the total miles divided by number of runners. This will be:
= 8/3
= 2 2/3 miles
Answer:
22
Step-by-step explanation:
see below
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.