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)
Heya!
Your question states: Solve for x in simplest form 15 = 1/3(x+9)
Answer: X = 36
<em>Numerical Explanation:</em>
1. Step by step
I. 15 = 1/3(x+9)
2. Simplify both sides of the equation:
II. 15 = 1/3x + 3
3. Flip the equation:
III. 1/3x + 3 = 15
4. Subtract 3 from both sides:
IV. 1/3 x +3 = 15
-3 -3
5. Multiply both sides by 3:
V. 3 * (1/3 x) = (3) * (12)
6. Final answer:
VI. x = 36
I Hoped I Helped!
~KINGJUPITER
Answer:
17/40
Step-by-step explanation:
