Answer: Ix+10I
Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).
So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|
We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.
Answer:
The height is 6 unit
The base is 2 units.
Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).
X-7 < -3
Remember that the less than or equal to has a line underneath it!
The volume of one pan is 192 units cubed. The volume of the three pans is 576 units cubed.
If he spends 1/4 reading the news, then he spends 3/4 reading the other stuff
3/4 * 8/9 = 24/36 = 2/3 of an hr ...time spent reading sports and comics
(2/3) / 2 =
2/3 * 1/2 = 2/6 reduces to 1/3....so he spends 1/3 of an hour (or 20 minutes) reading the comics
