<p>The figure above shows the graph of y = g(x)
if the fuinction h is defined by h(x) = g(2x) + 2. what is the value of h(1)</p>
<p>y=g(x) is like a zig zag graph with points (-3, 0) 0,3 3,0 3,3</p>
<p>exactly 4 actors try out for the 4 parts in a plauy. if each actor can perform any one part and no one will perform more than one part, how many different assignments of actors are possible?</p>
<p>esther drove to work in the morning at an average speed of 45 miles per hour. she returned home in the evening along the same route and averaged 30 miles per hour. if esther spent a total of one hour commuting to and from work, how many miles did esther drive to work in the morning?</p>
<p>a) I think it would be better if you posted a picture. When I draw it out, it’s not exactly a zigzag … </p>
<p>b) 4<em>3</em>2*1, or 4! because you have 4 choices for the first acting part, 3 remaining choices for the second acting part, 2 remaining choices for the third acting part, etc</p>
<p>c) </p>
<p>Total time = 1
Let x represent the amount of time (in hours) Esther spent driving to work, and 1-x represent the amount of time (in hours) she spends driving back.</p>
<p>Time = distance/speed
x = D/45
rearranged: D = 45x</p>
<p>1-x = D/30
Rearranged: D = 30(1-x)</p>
<p>She drives the same distance to and from work, so:
45x = 30-30x
75x = 30
x = 0.4</p>
<p>Plug that into one of the two equations:</p>
<p>D = 45x
D = 45*0.4
D = 18</p>