i) the least positive coterminal angle can be found by subtracting 2pi from your original angle. We subtract 2pi because 11pi/3 is larger than 2pi.
So: 11pi/3 - 2pi = 11pi/3 - 6pi/3 = 5pi/3 or 
ii) The reference angle is the smallest angle you can make with the x-axis. Since 5pi/3 is in Quadrant IV, the reference angle is found by:
2pi - 5pi/3 = 6pi/3 - 5pi/3 = pi/3 or 
iii) 5pi/3 or 300 degrees is found in Quadrant IV.
Answer:
i < 3u
Step-by-step explanation:
Answer:
job" (and any subsequent words) was ignored because we limit queries to 32 words.
Answer:
1/2
Step-by-step explanation:
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
