The answer is five because if you go for -3 that’s one in 8-6 is two and if you add one and three that’s for sure the only one you need is five and that would be just make no sense at all
3x-14=4x-9
-4x -4x
-x-14=-9
-14 -14
-x=-15
-x/-1=-15/-1
x=15
Sorry if this is a bit confusing, but I hope I helped
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).
In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
= 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
= 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
= 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
= (91 - 60)/8 miles
= 31/8 miles
= 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.
