Answer:
Step-by-step explanation:
1) 
Altitude = 2
Period = 2pi/(1/2) = 4pi
(since 1/2 is coefficient of x)
Altitude interval = [-4,0]
Domain interval = set of all real numbers
Phase shift = 0
Vertical shift = 2 down
2) y=-4sin(2x+pi/2)-2
Altitude = 4
Period = 2pi/(2) = pi
(since 2 is coefficient of x)
Altitude interval = [-6,2]
Domain interval = set of all real numbers
Phase shift = pi/2
Vertical shift = 2 down
Answer:
Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Step-by-step explanation:
Since the Gotemba walking trail up Mount Fuji is about 9km long, and walkers need to return from the 18km walk by 8pm, if Toshi estimates that he can walk up the mountain at 1.5km / h on average, and down at twice that speed , these speeds taking into account meal breaks and rest times, to determine what is the latest time he can begin his walk so that he can return by 8pm the following calculation must be performed:
Climb: 1.5 km / h
Descent: 2 x 1.5 km / h = 3 km / h
Climb: 9 km / 1.5 km / h = 6 hours
Descent: 9km / 3 km / h = 3 hours
Total: 9 hours
8 PM = 20:00
20:00 - 09:00 = 11:00
Thus, Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Answer:
$6 more
Step-by-step explanation:
14 - 8 = 6 so she needs $6 more
Answer:
14x + 6y = 10
14x + 35y = -77
Step-by-step explanation:
Multiply the top one by 2
14x + 6y = 10
Multiply the bottom one by 7
14x + 35y = -77
His next step is to subtract. You could have done this by multiplying the top one by -2
-14x - 6y = - 10
14x + 35y = -77 Now all you need do is add. The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.
