Answer:
2/5 = 40%
43%
13/19 = 68.4%
Juan
Step-by-step explanation:
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)
Answer: the number of possible values of a are 3 and 6
Explanation:
Since a is a divisor of 12
Then let’s see what are the divisor for 12
12= 6 x 2
12= 3 x 4
And we know that 3 is a factor of a
So if a was 3 then 3/3 is exactly 1
And if a was 6 then 6/3 is exactly 2 with no remainder
And 3 and 6 are also the divisor of 12
12/6=2
12/3=4
So a should be 3 and 6
