The first inequality: y≤-x+6. the graph is a solid line that goes through (0,6) and (6,0) with the shaded area under the line. All the points are in the shaded area.
the second inequality: y>x+4, the graph is a dotted line going through (0,4) and (-4,0) with the shaded area above the line. Only D and E are in the shaded area.
so only D and E satisfy both inequality.
To verify if D and E are solutions, plug the coordinates of D (-4,2) and E (-1,5) in the inequality to see if they will make both inequalities true.
is 2 smaller or equal to -(-4)+6? yes, 2 is smaller than 10
is 2 larger than (-4)+4? yes, 2 is larger than 0.
Do the same with coordinates of E.
Part C: graph the inequality. the dotted line goes through (0,-4), (1,-1), and the shaded part is above (to the left of) the line. You'll see that A, D, E, F are in the shaded area, suitable for raising chicken.
To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles.
So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)
To calculate speed, divide distance by time.
For 3/4 of his trip (157.5), it took him 2.5 hours.
157.5/2.5 = 63mph
For the remaining 52.5 miles, it took him an hour.
52.5/1 = 52.5mph
Now average those two speeds to get the average speed for the whole trip.
(63+52.5)/2= 57.6mph
Answer: 47.1
Step-by-step explanation:
i did it
The square root of 15 over the square root of 12 simplified is Hope this helps! :)