Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
291-186=105 (total earned through wages)
105/5=21
Therefore she worked 21 hours
Example: Oranges are sold in a bag of 5 for $2. The ratio of roanges to cost is 5:2 if i had 20 oranges for ? cost it would look like: 5/2=20/?
Answer:
0.24 kilometres
Step-by-step explanation:
1cm represents 240000cm on actual map
therefore to get the actual representation
1km=1000000cm
? =240000cm
Do cross multiplication;
(240000cm x 1km)/1000000cm
=0.24km
2x2(2x+1)(2x-1) this is the answer I got.
