Answer:
186
Step-by-step explanation:
The area is given by ...
(f • g)(3) = f(3) • g(3) = (3+3) • (12•3 -5) = (6)(31)
(f • g)(3) = 186
<span>His two-way table contains data from a survey on the academic degrees earned by students in the United States in 2009.
</span>the relative frequency ofmale students earning an associates degree among all the males earning any degree in 2009 is : 0.23
Answer:
(3x+4)(3x+4) is factor of given expression.
B is correct.
Step-by-step explanation:
We are given an expression 
Formula: 
First we write each term as perfect square as formula.
Using formula , a=3x and b=4
Now we write same number two times.
Hence, (3x+4)(3x+4) is factor of given expression.
This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):
tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined
Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.
Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).
