Answer:
x<3
Step-by-step explanation:
-5|1+2x|+6<-29
-5-10x+6<-29
-10x<-30
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-10 -10
x<3
Answer:
r = 
Step-by-step explanation:
We simply are rearranging C= 2πr in terms of <em>r</em>. We just divide 2π on both sides.
<span>v = 45 km/hr
u = 72 km/hr
Can't sketch the graph, but can describe it.
The Y-axis will be the distance. At the origin it will be 0, and at the highest point it will have the value of 120. The X-axis will be time in minutes. At the origin it will be 0 and at the rightmost point, it will be 160. The graph will consist of 3 line segments. They are
1. A segment from (0,0) to (80,60)
2. A segment from (80,60) to (110,60)
3. A segment from (110,60) to (160,120)
The motorist originally intended on driving for 2 2/3 hours to travel 120 km. So divide the distance by the time to get the original intended speed.
120 km / 8/3 = 120 km * 3/8 = 360/8 = 45 km/hr
After traveling for 80 minutes (half of the original time allowed), the motorist should be half of the way to the destination, or 120/2 = 60km. Let's verify that.
45 * 4/3 = 180/3 = 60 km.
So we have a good cross check that our initial speed was correct. v = 45 km/hr
Now having spent 30 minutes fixing the problem, out motorist now has 160-80-30 = 50 minutes available to travel 60 km. So let's divide the distance by time:
60 / 5/6 = 60 * 6/5 = 360/5 = 72 km/hr
So the 2nd leg of the trip was at a speed of 72 km/hr</span>
Answer:
4=0
Step-by-step explanation:
Simplifying
(-9p + 7) + -1(-9p + 3) = 0
Reorder the terms:
(7 + -9p) + -1(-9p + 3) = 0
Remove parenthesis around (7 + -9p)
7 + -9p + -1(-9p + 3) = 0
Reorder the terms:
7 + -9p + -1(3 + -9p) = 0
7 + -9p + (3 * -1 + -9p * -1) = 0
7 + -9p + (-3 + 9p) = 0
Reorder the terms:
7 + -3 + -9p + 9p = 0
Combine like terms: 7 + -3 = 4
4 + -9p + 9p = 0
Combine like terms: -9p + 9p = 0
4 + 0 = 0
4 = 0
Solving
4 = 0